Deck 4: Systems of Linear Equations

ملء الشاشة (f)
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سؤال
Graph the system of linear inequalities. Label the solution region.

-<strong>Graph the system of linear inequalities. Label the solution region.  - </strong> A)   B)   C)   D)   E) none of these <div style=padding-top: 35px>

A)
<strong>Graph the system of linear inequalities. Label the solution region.  - </strong> A)   B)   C)   D)   E) none of these <div style=padding-top: 35px>
B) <strong>Graph the system of linear inequalities. Label the solution region.  - </strong> A)   B)   C)   D)   E) none of these <div style=padding-top: 35px>
C) <strong>Graph the system of linear inequalities. Label the solution region.  - </strong> A)   B)   C)   D)   E) none of these <div style=padding-top: 35px>
D) <strong>Graph the system of linear inequalities. Label the solution region.  - </strong> A)   B)   C)   D)   E) none of these <div style=padding-top: 35px>
E) none of these
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سؤال
Graph the system of linear inequalities. Label the solution region.

-<strong>Graph the system of linear inequalities. Label the solution region.  - </strong> A)   B)   C)   D)   E) none of these <div style=padding-top: 35px>

A) <strong>Graph the system of linear inequalities. Label the solution region.  - </strong> A)   B)   C)   D)   E) none of these <div style=padding-top: 35px>
B) <strong>Graph the system of linear inequalities. Label the solution region.  - </strong> A)   B)   C)   D)   E) none of these <div style=padding-top: 35px>
C) <strong>Graph the system of linear inequalities. Label the solution region.  - </strong> A)   B)   C)   D)   E) none of these <div style=padding-top: 35px>
D) <strong>Graph the system of linear inequalities. Label the solution region.  - </strong> A)   B)   C)   D)   E) none of these <div style=padding-top: 35px>
E) none of these
سؤال
Graph the system of linear inequalities. Label the solution region.

-<strong>Graph the system of linear inequalities. Label the solution region.  - </strong> A)   B)   C)   D)   E) none of these <div style=padding-top: 35px>

A) <strong>Graph the system of linear inequalities. Label the solution region.  - </strong> A)   B)   C)   D)   E) none of these <div style=padding-top: 35px>
B) <strong>Graph the system of linear inequalities. Label the solution region.  - </strong> A)   B)   C)   D)   E) none of these <div style=padding-top: 35px>
C) <strong>Graph the system of linear inequalities. Label the solution region.  - </strong> A)   B)   C)   D)   E) none of these <div style=padding-top: 35px>
D) <strong>Graph the system of linear inequalities. Label the solution region.  - </strong> A)   B)   C)   D)   E) none of these <div style=padding-top: 35px>
E) none of these
سؤال
Graph the system of linear inequalities. Label the solution region.

-<strong>Graph the system of linear inequalities. Label the solution region.  - </strong> A)   B)   C)   D)   E) none of these <div style=padding-top: 35px>

A) <strong>Graph the system of linear inequalities. Label the solution region.  - </strong> A)   B)   C)   D)   E) none of these <div style=padding-top: 35px>
B) <strong>Graph the system of linear inequalities. Label the solution region.  - </strong> A)   B)   C)   D)   E) none of these <div style=padding-top: 35px>
C) <strong>Graph the system of linear inequalities. Label the solution region.  - </strong> A)   B)   C)   D)   E) none of these <div style=padding-top: 35px>
D) <strong>Graph the system of linear inequalities. Label the solution region.  - </strong> A)   B)   C)   D)   E) none of these <div style=padding-top: 35px>
E) none of these
سؤال
The graph represents a system of linear inequalities. Estimate the vertices. <strong>The graph represents a system of linear inequalities. Estimate the vertices.  </strong> A)   B)   C)   D)   E) none of these <div style=padding-top: 35px>

A) <strong>The graph represents a system of linear inequalities. Estimate the vertices.  </strong> A)   B)   C)   D)   E) none of these <div style=padding-top: 35px>
B) <strong>The graph represents a system of linear inequalities. Estimate the vertices.  </strong> A)   B)   C)   D)   E) none of these <div style=padding-top: 35px>
C) <strong>The graph represents a system of linear inequalities. Estimate the vertices.  </strong> A)   B)   C)   D)   E) none of these <div style=padding-top: 35px>
D) <strong>The graph represents a system of linear inequalities. Estimate the vertices.  </strong> A)   B)   C)   D)   E) none of these <div style=padding-top: 35px>
E) none of these
سؤال
The graph represents a system of inequalities. Estimate the vertices. <strong>The graph represents a system of inequalities. Estimate the vertices.  </strong> A)   B)   C)   D)   E) none of these <div style=padding-top: 35px>

A) <strong>The graph represents a system of inequalities. Estimate the vertices.  </strong> A)   B)   C)   D)   E) none of these <div style=padding-top: 35px>
B) <strong>The graph represents a system of inequalities. Estimate the vertices.  </strong> A)   B)   C)   D)   E) none of these <div style=padding-top: 35px>
C) <strong>The graph represents a system of inequalities. Estimate the vertices.  </strong> A)   B)   C)   D)   E) none of these <div style=padding-top: 35px>
D) <strong>The graph represents a system of inequalities. Estimate the vertices.  </strong> A)   B)   C)   D)   E) none of these <div style=padding-top: 35px>
E) none of these
سؤال
Use an algebraic method to find the vertices of the system of linear inequalities. <strong>Use an algebraic method to find the vertices of the system of linear inequalities.  </strong> A)   B)   C)   D)   E) none of these <div style=padding-top: 35px>

A) <strong>Use an algebraic method to find the vertices of the system of linear inequalities.  </strong> A)   B)   C)   D)   E) none of these <div style=padding-top: 35px>
B) <strong>Use an algebraic method to find the vertices of the system of linear inequalities.  </strong> A)   B)   C)   D)   E) none of these <div style=padding-top: 35px>
C) <strong>Use an algebraic method to find the vertices of the system of linear inequalities.  </strong> A)   B)   C)   D)   E) none of these <div style=padding-top: 35px>
D) <strong>Use an algebraic method to find the vertices of the system of linear inequalities.  </strong> A)   B)   C)   D)   E) none of these <div style=padding-top: 35px>
E) none of these
سؤال
Use an algebraic method to determine which, if any, of the ordered pairs is a solution to the system of inequalities. <strong>Use an algebraic method to determine which, if any, of the ordered pairs is a solution to the system of inequalities.  </strong> A)   B)   C)   D)   E) none of these <div style=padding-top: 35px>

A) <strong>Use an algebraic method to determine which, if any, of the ordered pairs is a solution to the system of inequalities.  </strong> A)   B)   C)   D)   E) none of these <div style=padding-top: 35px>
B) <strong>Use an algebraic method to determine which, if any, of the ordered pairs is a solution to the system of inequalities.  </strong> A)   B)   C)   D)   E) none of these <div style=padding-top: 35px>
C) <strong>Use an algebraic method to determine which, if any, of the ordered pairs is a solution to the system of inequalities.  </strong> A)   B)   C)   D)   E) none of these <div style=padding-top: 35px>
D) <strong>Use an algebraic method to determine which, if any, of the ordered pairs is a solution to the system of inequalities.  </strong> A)   B)   C)   D)   E) none of these <div style=padding-top: 35px>
E) none of these
سؤال
Use the system of inequalities. <strong>Use the system of inequalities.    -Graph the system.</strong> A)   B)   C)   D)   E) none of these <div style=padding-top: 35px>

-Graph the system.

A) <strong>Use the system of inequalities.    -Graph the system.</strong> A)   B)   C)   D)   E) none of these <div style=padding-top: 35px>
B) <strong>Use the system of inequalities.    -Graph the system.</strong> A)   B)   C)   D)   E) none of these <div style=padding-top: 35px>
C) <strong>Use the system of inequalities.    -Graph the system.</strong> A)   B)   C)   D)   E) none of these <div style=padding-top: 35px>
D) <strong>Use the system of inequalities.    -Graph the system.</strong> A)   B)   C)   D)   E) none of these <div style=padding-top: 35px>
E) none of these
سؤال
Use the system of inequalities. <strong>Use the system of inequalities.    -Use an algebraic method to find the vertices.</strong> A)   B)   C)   D)   E) none of these <div style=padding-top: 35px>

-Use an algebraic method to find the vertices.

A) <strong>Use the system of inequalities.    -Use an algebraic method to find the vertices.</strong> A)   B)   C)   D)   E) none of these <div style=padding-top: 35px>
B) <strong>Use the system of inequalities.    -Use an algebraic method to find the vertices.</strong> A)   B)   C)   D)   E) none of these <div style=padding-top: 35px>
C) <strong>Use the system of inequalities.    -Use an algebraic method to find the vertices.</strong> A)   B)   C)   D)   E) none of these <div style=padding-top: 35px>
D) <strong>Use the system of inequalities.    -Use an algebraic method to find the vertices.</strong> A)   B)   C)   D)   E) none of these <div style=padding-top: 35px>
E) none of these
سؤال
Use the system of inequalities. <strong>Use the system of inequalities.    -Graph the system of inequalities.</strong> A)   B)   C)   D)   E) none of these <div style=padding-top: 35px>

-Graph the system of inequalities.

A) <strong>Use the system of inequalities.    -Graph the system of inequalities.</strong> A)   B)   C)   D)   E) none of these <div style=padding-top: 35px>
B) <strong>Use the system of inequalities.    -Graph the system of inequalities.</strong> A)   B)   C)   D)   E) none of these <div style=padding-top: 35px>
C) <strong>Use the system of inequalities.    -Graph the system of inequalities.</strong> A)   B)   C)   D)   E) none of these <div style=padding-top: 35px>
D) <strong>Use the system of inequalities.    -Graph the system of inequalities.</strong> A)   B)   C)   D)   E) none of these <div style=padding-top: 35px>
E) none of these
سؤال
Use the system of inequalities. <strong>Use the system of inequalities.    -Use an algebraic method to find the vertices.</strong> A)   B)   C)   D)   E) none of these <div style=padding-top: 35px>

-Use an algebraic method to find the vertices.

A) <strong>Use the system of inequalities.    -Use an algebraic method to find the vertices.</strong> A)   B)   C)   D)   E) none of these <div style=padding-top: 35px>
B) <strong>Use the system of inequalities.    -Use an algebraic method to find the vertices.</strong> A)   B)   C)   D)   E) none of these <div style=padding-top: 35px>
C) <strong>Use the system of inequalities.    -Use an algebraic method to find the vertices.</strong> A)   B)   C)   D)   E) none of these <div style=padding-top: 35px>
D) <strong>Use the system of inequalities.    -Use an algebraic method to find the vertices.</strong> A)   B)   C)   D)   E) none of these <div style=padding-top: 35px>
E) none of these
سؤال
An investor can invest at most $20,000 in a retirement plan. He wants to place at least $5000 in Treasury Notes yielding 5% and more than $14,000 in corporate bonds yielding 8%. He also wants to earn $1420 annually. Let
<strong>An investor can invest at most $20,000 in a retirement plan. He wants to place at least $5000 in Treasury Notes yielding 5% and more than $14,000 in corporate bonds yielding 8%. He also wants to earn $1420 annually. Let   the amount invested in Treasury Notes and   the amount invested in corporate bonds.  -Write four constraints that describe this situation.</strong> A)   B)   C)   D)   E) none of these <div style=padding-top: 35px> the amount invested in Treasury Notes and <strong>An investor can invest at most $20,000 in a retirement plan. He wants to place at least $5000 in Treasury Notes yielding 5% and more than $14,000 in corporate bonds yielding 8%. He also wants to earn $1420 annually. Let   the amount invested in Treasury Notes and   the amount invested in corporate bonds.  -Write four constraints that describe this situation.</strong> A)   B)   C)   D)   E) none of these <div style=padding-top: 35px> the amount invested in corporate bonds.

-Write four constraints that describe this situation.

A) <strong>An investor can invest at most $20,000 in a retirement plan. He wants to place at least $5000 in Treasury Notes yielding 5% and more than $14,000 in corporate bonds yielding 8%. He also wants to earn $1420 annually. Let   the amount invested in Treasury Notes and   the amount invested in corporate bonds.  -Write four constraints that describe this situation.</strong> A)   B)   C)   D)   E) none of these <div style=padding-top: 35px>
B) <strong>An investor can invest at most $20,000 in a retirement plan. He wants to place at least $5000 in Treasury Notes yielding 5% and more than $14,000 in corporate bonds yielding 8%. He also wants to earn $1420 annually. Let   the amount invested in Treasury Notes and   the amount invested in corporate bonds.  -Write four constraints that describe this situation.</strong> A)   B)   C)   D)   E) none of these <div style=padding-top: 35px>
C) <strong>An investor can invest at most $20,000 in a retirement plan. He wants to place at least $5000 in Treasury Notes yielding 5% and more than $14,000 in corporate bonds yielding 8%. He also wants to earn $1420 annually. Let   the amount invested in Treasury Notes and   the amount invested in corporate bonds.  -Write four constraints that describe this situation.</strong> A)   B)   C)   D)   E) none of these <div style=padding-top: 35px>
D) <strong>An investor can invest at most $20,000 in a retirement plan. He wants to place at least $5000 in Treasury Notes yielding 5% and more than $14,000 in corporate bonds yielding 8%. He also wants to earn $1420 annually. Let   the amount invested in Treasury Notes and   the amount invested in corporate bonds.  -Write four constraints that describe this situation.</strong> A)   B)   C)   D)   E) none of these <div style=padding-top: 35px>
E) none of these
سؤال
An investor can invest at most $20,000 in a retirement plan. He wants to place at least $5000 in Treasury Notes yielding 5% and more than $14,000 in corporate bonds yielding 8%. He also wants to earn $1420 annually. Let
<strong>An investor can invest at most $20,000 in a retirement plan. He wants to place at least $5000 in Treasury Notes yielding 5% and more than $14,000 in corporate bonds yielding 8%. He also wants to earn $1420 annually. Let   the amount invested in Treasury Notes and   the amount invested in corporate bonds.  -Graph the constraints.</strong> A)   B)   C)   D)   E) none of these <div style=padding-top: 35px> the amount invested in Treasury Notes and <strong>An investor can invest at most $20,000 in a retirement plan. He wants to place at least $5000 in Treasury Notes yielding 5% and more than $14,000 in corporate bonds yielding 8%. He also wants to earn $1420 annually. Let   the amount invested in Treasury Notes and   the amount invested in corporate bonds.  -Graph the constraints.</strong> A)   B)   C)   D)   E) none of these <div style=padding-top: 35px> the amount invested in corporate bonds.

-Graph the constraints.

A) <strong>An investor can invest at most $20,000 in a retirement plan. He wants to place at least $5000 in Treasury Notes yielding 5% and more than $14,000 in corporate bonds yielding 8%. He also wants to earn $1420 annually. Let   the amount invested in Treasury Notes and   the amount invested in corporate bonds.  -Graph the constraints.</strong> A)   B)   C)   D)   E) none of these <div style=padding-top: 35px>
B) <strong>An investor can invest at most $20,000 in a retirement plan. He wants to place at least $5000 in Treasury Notes yielding 5% and more than $14,000 in corporate bonds yielding 8%. He also wants to earn $1420 annually. Let   the amount invested in Treasury Notes and   the amount invested in corporate bonds.  -Graph the constraints.</strong> A)   B)   C)   D)   E) none of these <div style=padding-top: 35px>
C) <strong>An investor can invest at most $20,000 in a retirement plan. He wants to place at least $5000 in Treasury Notes yielding 5% and more than $14,000 in corporate bonds yielding 8%. He also wants to earn $1420 annually. Let   the amount invested in Treasury Notes and   the amount invested in corporate bonds.  -Graph the constraints.</strong> A)   B)   C)   D)   E) none of these <div style=padding-top: 35px>
D) <strong>An investor can invest at most $20,000 in a retirement plan. He wants to place at least $5000 in Treasury Notes yielding 5% and more than $14,000 in corporate bonds yielding 8%. He also wants to earn $1420 annually. Let   the amount invested in Treasury Notes and   the amount invested in corporate bonds.  -Graph the constraints.</strong> A)   B)   C)   D)   E) none of these <div style=padding-top: 35px>
E) none of these
سؤال
An investor can invest at most $20,000 in a retirement plan. He wants to place at least $5000 in Treasury Notes yielding 5% and more than $14,000 in corporate bonds yielding 8%. He also wants to earn $1420 annually. Let
<strong>An investor can invest at most $20,000 in a retirement plan. He wants to place at least $5000 in Treasury Notes yielding 5% and more than $14,000 in corporate bonds yielding 8%. He also wants to earn $1420 annually. Let   the amount invested in Treasury Notes and   the amount invested in corporate bonds.  -Estimate the vertices of the feasible region.</strong> A)   B)   C)   D)   E) none of these <div style=padding-top: 35px> the amount invested in Treasury Notes and <strong>An investor can invest at most $20,000 in a retirement plan. He wants to place at least $5000 in Treasury Notes yielding 5% and more than $14,000 in corporate bonds yielding 8%. He also wants to earn $1420 annually. Let   the amount invested in Treasury Notes and   the amount invested in corporate bonds.  -Estimate the vertices of the feasible region.</strong> A)   B)   C)   D)   E) none of these <div style=padding-top: 35px> the amount invested in corporate bonds.

-Estimate the vertices of the feasible region.

A) <strong>An investor can invest at most $20,000 in a retirement plan. He wants to place at least $5000 in Treasury Notes yielding 5% and more than $14,000 in corporate bonds yielding 8%. He also wants to earn $1420 annually. Let   the amount invested in Treasury Notes and   the amount invested in corporate bonds.  -Estimate the vertices of the feasible region.</strong> A)   B)   C)   D)   E) none of these <div style=padding-top: 35px>
B) <strong>An investor can invest at most $20,000 in a retirement plan. He wants to place at least $5000 in Treasury Notes yielding 5% and more than $14,000 in corporate bonds yielding 8%. He also wants to earn $1420 annually. Let   the amount invested in Treasury Notes and   the amount invested in corporate bonds.  -Estimate the vertices of the feasible region.</strong> A)   B)   C)   D)   E) none of these <div style=padding-top: 35px>
C) <strong>An investor can invest at most $20,000 in a retirement plan. He wants to place at least $5000 in Treasury Notes yielding 5% and more than $14,000 in corporate bonds yielding 8%. He also wants to earn $1420 annually. Let   the amount invested in Treasury Notes and   the amount invested in corporate bonds.  -Estimate the vertices of the feasible region.</strong> A)   B)   C)   D)   E) none of these <div style=padding-top: 35px>
D) <strong>An investor can invest at most $20,000 in a retirement plan. He wants to place at least $5000 in Treasury Notes yielding 5% and more than $14,000 in corporate bonds yielding 8%. He also wants to earn $1420 annually. Let   the amount invested in Treasury Notes and   the amount invested in corporate bonds.  -Estimate the vertices of the feasible region.</strong> A)   B)   C)   D)   E) none of these <div style=padding-top: 35px>
E) none of these
سؤال
Represent the system of equations with an augmented matrix: <strong>Represent the system of equations with an augmented matrix:  </strong> A)   B)   C)   D)   E) none of these <div style=padding-top: 35px>

A) <strong>Represent the system of equations with an augmented matrix:  </strong> A)   B)   C)   D)   E) none of these <div style=padding-top: 35px>
B) <strong>Represent the system of equations with an augmented matrix:  </strong> A)   B)   C)   D)   E) none of these <div style=padding-top: 35px>
C) <strong>Represent the system of equations with an augmented matrix:  </strong> A)   B)   C)   D)   E) none of these <div style=padding-top: 35px>
D) <strong>Represent the system of equations with an augmented matrix:  </strong> A)   B)   C)   D)   E) none of these <div style=padding-top: 35px>
E) none of these
سؤال
Represent the system of equations with an augmented matrix: <strong>Represent the system of equations with an augmented matrix:  </strong> A)   B)   C)   D)   E) none of these <div style=padding-top: 35px>

A) <strong>Represent the system of equations with an augmented matrix:  </strong> A)   B)   C)   D)   E) none of these <div style=padding-top: 35px>
B) <strong>Represent the system of equations with an augmented matrix:  </strong> A)   B)   C)   D)   E) none of these <div style=padding-top: 35px>
C) <strong>Represent the system of equations with an augmented matrix:  </strong> A)   B)   C)   D)   E) none of these <div style=padding-top: 35px>
D) <strong>Represent the system of equations with an augmented matrix:  </strong> A)   B)   C)   D)   E) none of these <div style=padding-top: 35px>
E) none of these
سؤال
Use row operations to change the first entry in the first row to 1. Rewrite the matrix. <strong>Use row operations to change the first entry in the first row to 1. Rewrite the matrix.  </strong> A)   B)   C)   D)   E) none of these <div style=padding-top: 35px>

A) <strong>Use row operations to change the first entry in the first row to 1. Rewrite the matrix.  </strong> A)   B)   C)   D)   E) none of these <div style=padding-top: 35px>
B) <strong>Use row operations to change the first entry in the first row to 1. Rewrite the matrix.  </strong> A)   B)   C)   D)   E) none of these <div style=padding-top: 35px>
C) <strong>Use row operations to change the first entry in the first row to 1. Rewrite the matrix.  </strong> A)   B)   C)   D)   E) none of these <div style=padding-top: 35px>
D) <strong>Use row operations to change the first entry in the first row to 1. Rewrite the matrix.  </strong> A)   B)   C)   D)   E) none of these <div style=padding-top: 35px>
E) none of these
سؤال
The matrix <strong>The matrix   represents a system of equations in reduced row echelon form. Identify the solution of the system of equations.</strong> A)(1, 0) B)(-9, 4) C) (4, -9) D) infinitely many solutions E) no solution <div style=padding-top: 35px> represents a system of equations in reduced row echelon form. Identify the solution of the system of equations.

A)(1, 0)
B)(-9, 4)
C) (4, -9)
D) infinitely many solutions
E) no solution
سؤال
The matrix <strong>The matrix   represents a system of equations in reduced row echelon form. Identify the solution of the system of equations.</strong> A) (2, 0, -1) B) (1, 0, 0) C) (-1, 0, 2) D) infinitely many solutions E) no solution <div style=padding-top: 35px> represents a system of equations in reduced row echelon form. Identify the solution of the system of equations.

A) (2, 0, -1)
B) (1, 0, 0)
C) (-1, 0, 2)
D) infinitely many solutions
E) no solution
سؤال
The matrix <strong>The matrix   represent a system of equations in reduced row echelon form. Identify the solution of the system of equations.</strong> A) (0, 0, 0) B) (5, 3, 6) C) (5, 3, 0) D) infinitely many solutions E) no solution <div style=padding-top: 35px> represent a system of equations in reduced row echelon form. Identify the solution of the system of equations.

A) (0, 0, 0)
B) (5, 3, 6)
C) (5, 3, 0)
D) infinitely many solutions
E) no solution
سؤال
Use row operations to change the first entry in the second row to 0. Rewrite the matrix. <strong>Use row operations to change the first entry in the second row to 0. Rewrite the matrix.  </strong> A)   B)   C)   D)   E) none of these <div style=padding-top: 35px>

A) <strong>Use row operations to change the first entry in the second row to 0. Rewrite the matrix.  </strong> A)   B)   C)   D)   E) none of these <div style=padding-top: 35px>
B) <strong>Use row operations to change the first entry in the second row to 0. Rewrite the matrix.  </strong> A)   B)   C)   D)   E) none of these <div style=padding-top: 35px>
C) <strong>Use row operations to change the first entry in the second row to 0. Rewrite the matrix.  </strong> A)   B)   C)   D)   E) none of these <div style=padding-top: 35px>
D) <strong>Use row operations to change the first entry in the second row to 0. Rewrite the matrix.  </strong> A)   B)   C)   D)   E) none of these <div style=padding-top: 35px>
E) none of these
سؤال
Use row operations to change the first entry in the second row to 0. Rewrite the matrix <strong>Use row operations to change the first entry in the second row to 0. Rewrite the matrix  </strong> A)   B)   C)   D)   E) none of these <div style=padding-top: 35px>

A) <strong>Use row operations to change the first entry in the second row to 0. Rewrite the matrix  </strong> A)   B)   C)   D)   E) none of these <div style=padding-top: 35px>
B) <strong>Use row operations to change the first entry in the second row to 0. Rewrite the matrix  </strong> A)   B)   C)   D)   E) none of these <div style=padding-top: 35px>
C) <strong>Use row operations to change the first entry in the second row to 0. Rewrite the matrix  </strong> A)   B)   C)   D)   E) none of these <div style=padding-top: 35px>
D) <strong>Use row operations to change the first entry in the second row to 0. Rewrite the matrix  </strong> A)   B)   C)   D)   E) none of these <div style=padding-top: 35px>
E) none of these
سؤال
Represent the system of equations with an augmented matrix. Solve the system by rewriting the matrix in reduced row echelon form.

-<strong>Represent the system of equations with an augmented matrix. Solve the system by rewriting the matrix in reduced row echelon form.  - </strong> A)(5, 8) B) (-5, 8) C) ( 5, -60 D) infinitely many solutions E) no solution <div style=padding-top: 35px>

A)(5, 8)
B) (-5, 8)
C) ( 5, -60
D) infinitely many solutions
E) no solution
سؤال
Represent the system of equations with an augmented matrix. Solve the system by rewriting the matrix in reduced row echelon form.

-<strong>Represent the system of equations with an augmented matrix. Solve the system by rewriting the matrix in reduced row echelon form.  - </strong> A) (4, -1) B) (-5, 1) C) ( -4, 1) D) infinitely many solutions E) no solution <div style=padding-top: 35px>

A) (4, -1)
B) (-5, 1)
C) ( -4, 1)
D) infinitely many solutions
E) no solution
سؤال
Represent the system of equations with an augmented matrix. Solve the system by rewriting the matrix in reduced row echelon form.

-<strong>Represent the system of equations with an augmented matrix. Solve the system by rewriting the matrix in reduced row echelon form.  - </strong> A) (0, 20) B) (0, 0) C) (2, 0) D) infinitely many solutions E) no solution <div style=padding-top: 35px>

A) (0, 20)
B) (0, 0)
C) (2, 0)
D) infinitely many solutions
E) no solution
سؤال
Represent the system of equations with an augmented matrix. Solve the system by rewriting the matrix in reduced row echelon form.

-<strong>Represent the system of equations with an augmented matrix. Solve the system by rewriting the matrix in reduced row echelon form.  - </strong> A) (3, -4, 1) B) (-3, 4, 10 C)   D) infinitely many solutions E) no solution <div style=padding-top: 35px>

A) (3, -4, 1)
B) (-3, 4, 10
C) <strong>Represent the system of equations with an augmented matrix. Solve the system by rewriting the matrix in reduced row echelon form.  - </strong> A) (3, -4, 1) B) (-3, 4, 10 C)   D) infinitely many solutions E) no solution <div style=padding-top: 35px>
D) infinitely many solutions
E) no solution
سؤال
Represent the system of equations with an augmented matrix. Solve the system by rewriting the matrix in reduced row echelon form.

-<strong>Represent the system of equations with an augmented matrix. Solve the system by rewriting the matrix in reduced row echelon form.  - </strong> A)   B) ( 11, -22, 6) C)   D) infinitely many solutions E) no solution <div style=padding-top: 35px>

A) <strong>Represent the system of equations with an augmented matrix. Solve the system by rewriting the matrix in reduced row echelon form.  - </strong> A)   B) ( 11, -22, 6) C)   D) infinitely many solutions E) no solution <div style=padding-top: 35px>
B) ( 11, -22, 6)
C) <strong>Represent the system of equations with an augmented matrix. Solve the system by rewriting the matrix in reduced row echelon form.  - </strong> A)   B) ( 11, -22, 6) C)   D) infinitely many solutions E) no solution <div style=padding-top: 35px>
D) infinitely many solutions
E) no solution
سؤال
Represent the system of equations with an augmented matrix. Solve the system by rewriting the matrix in reduced row echelon form.

-<strong>Represent the system of equations with an augmented matrix. Solve the system by rewriting the matrix in reduced row echelon form.  - </strong> A)(-3, -3, -3) B) (-4, 0, 3) C) ( -2, -8, 6) D) infinitely many solutions E) no solution <div style=padding-top: 35px>

A)(-3, -3, -3)
B) (-4, 0, 3)
C) ( -2, -8, 6)
D) infinitely many solutions
E) no solution
سؤال
Students are having a bake sale to raise funds for the school band. They collect $19.00 for selling 2 pies, 1 cake, and 3 cinnamon rolls. They collect $11.50 for selling 1 cake and 4 cinnamon rolls. They collect $17.50 for selling 1 pie, 1 cake and 5 cinnamon rolls. Find the price for each item.

A) $4.00 per pie$3.50 per cake$2.00 per cinnamon roll
B) $4.50 per pie$5.50 per cake$1.50 per cinnamon roll
C) $5.50 per pie$4.50 per cake$1.50 per cinnamon roll
D) $4.25 per pie$7.50 per cake$1.00 per cinnamon roll
E) none of these
سؤال
Use an algebraic method to determine which of the ordered triples is a solution to the system. <strong>Use an algebraic method to determine which of the ordered triples is a solution to the system.  </strong> A)   B)   C)   D)   E) none of these <div style=padding-top: 35px>

A) <strong>Use an algebraic method to determine which of the ordered triples is a solution to the system.  </strong> A)   B)   C)   D)   E) none of these <div style=padding-top: 35px>
B) <strong>Use an algebraic method to determine which of the ordered triples is a solution to the system.  </strong> A)   B)   C)   D)   E) none of these <div style=padding-top: 35px>
C) <strong>Use an algebraic method to determine which of the ordered triples is a solution to the system.  </strong> A)   B)   C)   D)   E) none of these <div style=padding-top: 35px>
D) <strong>Use an algebraic method to determine which of the ordered triples is a solution to the system.  </strong> A)   B)   C)   D)   E) none of these <div style=padding-top: 35px>
E) none of these
سؤال
Use an algebraic method to determine which of the ordered triples is a solution to the system. <strong>Use an algebraic method to determine which of the ordered triples is a solution to the system.  </strong> A)   B)   C)   D)   E) none of these <div style=padding-top: 35px>

A) <strong>Use an algebraic method to determine which of the ordered triples is a solution to the system.  </strong> A)   B)   C)   D)   E) none of these <div style=padding-top: 35px>
B) <strong>Use an algebraic method to determine which of the ordered triples is a solution to the system.  </strong> A)   B)   C)   D)   E) none of these <div style=padding-top: 35px>
C) <strong>Use an algebraic method to determine which of the ordered triples is a solution to the system.  </strong> A)   B)   C)   D)   E) none of these <div style=padding-top: 35px>
D) <strong>Use an algebraic method to determine which of the ordered triples is a solution to the system.  </strong> A)   B)   C)   D)   E) none of these <div style=padding-top: 35px>
E) none of these
سؤال
Use constant multiples of only the top equation to eliminate the variable x from the system of equations. Which system of two equations results? <strong>Use constant multiples of only the top equation to eliminate the variable x from the system of equations. Which system of two equations results?  </strong> A)   B)   C)   D)   E) none of these <div style=padding-top: 35px>

A) <strong>Use constant multiples of only the top equation to eliminate the variable x from the system of equations. Which system of two equations results?  </strong> A)   B)   C)   D)   E) none of these <div style=padding-top: 35px>
B) <strong>Use constant multiples of only the top equation to eliminate the variable x from the system of equations. Which system of two equations results?  </strong> A)   B)   C)   D)   E) none of these <div style=padding-top: 35px>
C) <strong>Use constant multiples of only the top equation to eliminate the variable x from the system of equations. Which system of two equations results?  </strong> A)   B)   C)   D)   E) none of these <div style=padding-top: 35px>
D) <strong>Use constant multiples of only the top equation to eliminate the variable x from the system of equations. Which system of two equations results?  </strong> A)   B)   C)   D)   E) none of these <div style=padding-top: 35px>
E) none of these
سؤال
Use constant multiples of only the top equation to eliminate the variable y from the system of equations. Which system of two equations results? <strong>Use constant multiples of only the top equation to eliminate the variable y from the system of equations. Which system of two equations results?  </strong> A)   B)   C)   D)   E) none of these <div style=padding-top: 35px>

A) <strong>Use constant multiples of only the top equation to eliminate the variable y from the system of equations. Which system of two equations results?  </strong> A)   B)   C)   D)   E) none of these <div style=padding-top: 35px>
B) <strong>Use constant multiples of only the top equation to eliminate the variable y from the system of equations. Which system of two equations results?  </strong> A)   B)   C)   D)   E) none of these <div style=padding-top: 35px>
C) <strong>Use constant multiples of only the top equation to eliminate the variable y from the system of equations. Which system of two equations results?  </strong> A)   B)   C)   D)   E) none of these <div style=padding-top: 35px>
D) <strong>Use constant multiples of only the top equation to eliminate the variable y from the system of equations. Which system of two equations results?  </strong> A)   B)   C)   D)   E) none of these <div style=padding-top: 35px>
E) none of these
سؤال
Use constant multiples of only the top equation to eliminate the variable z from the system of equations. Which system of two equations results? <strong>Use constant multiples of only the top equation to eliminate the variable z from the system of equations. Which system of two equations results?  </strong> A)   B)   C)   D)   E) none of these <div style=padding-top: 35px>

A) <strong>Use constant multiples of only the top equation to eliminate the variable z from the system of equations. Which system of two equations results?  </strong> A)   B)   C)   D)   E) none of these <div style=padding-top: 35px>
B) <strong>Use constant multiples of only the top equation to eliminate the variable z from the system of equations. Which system of two equations results?  </strong> A)   B)   C)   D)   E) none of these <div style=padding-top: 35px>
C) <strong>Use constant multiples of only the top equation to eliminate the variable z from the system of equations. Which system of two equations results?  </strong> A)   B)   C)   D)   E) none of these <div style=padding-top: 35px>
D) <strong>Use constant multiples of only the top equation to eliminate the variable z from the system of equations. Which system of two equations results?  </strong> A)   B)   C)   D)   E) none of these <div style=padding-top: 35px>
E) none of these
سؤال
Solve the system of equations using elimination, if possible, and express the solution as an ordered triple.

-<strong>Solve the system of equations using elimination, if possible, and express the solution as an ordered triple.  - </strong> A)   B)   C)   D) infinitely many solutions E) no solution <div style=padding-top: 35px>

A) <strong>Solve the system of equations using elimination, if possible, and express the solution as an ordered triple.  - </strong> A)   B)   C)   D) infinitely many solutions E) no solution <div style=padding-top: 35px>
B) <strong>Solve the system of equations using elimination, if possible, and express the solution as an ordered triple.  - </strong> A)   B)   C)   D) infinitely many solutions E) no solution <div style=padding-top: 35px>
C) <strong>Solve the system of equations using elimination, if possible, and express the solution as an ordered triple.  - </strong> A)   B)   C)   D) infinitely many solutions E) no solution <div style=padding-top: 35px>
D) infinitely many solutions
E) no solution
سؤال
Solve the system of equations using elimination, if possible, and express the solution as an ordered triple.

-<strong>Solve the system of equations using elimination, if possible, and express the solution as an ordered triple.  - </strong> A)   B)   C)   D) infinitely many solutions E) no solution <div style=padding-top: 35px>

A) <strong>Solve the system of equations using elimination, if possible, and express the solution as an ordered triple.  - </strong> A)   B)   C)   D) infinitely many solutions E) no solution <div style=padding-top: 35px>
B) <strong>Solve the system of equations using elimination, if possible, and express the solution as an ordered triple.  - </strong> A)   B)   C)   D) infinitely many solutions E) no solution <div style=padding-top: 35px>
C) <strong>Solve the system of equations using elimination, if possible, and express the solution as an ordered triple.  - </strong> A)   B)   C)   D) infinitely many solutions E) no solution <div style=padding-top: 35px>
D) infinitely many solutions
E) no solution
سؤال
Solve the system of equations using elimination, if possible, and express the solution as an ordered triple.

-<strong>Solve the system of equations using elimination, if possible, and express the solution as an ordered triple.  - </strong> A)   B)   C)   D) infinitely many solutions E) no solution <div style=padding-top: 35px>

A) <strong>Solve the system of equations using elimination, if possible, and express the solution as an ordered triple.  - </strong> A)   B)   C)   D) infinitely many solutions E) no solution <div style=padding-top: 35px>
B) <strong>Solve the system of equations using elimination, if possible, and express the solution as an ordered triple.  - </strong> A)   B)   C)   D) infinitely many solutions E) no solution <div style=padding-top: 35px>
C) <strong>Solve the system of equations using elimination, if possible, and express the solution as an ordered triple.  - </strong> A)   B)   C)   D) infinitely many solutions E) no solution <div style=padding-top: 35px>
D) infinitely many solutions
E) no solution
سؤال
Solve the system of equations using elimination, if possible, and express the solution as an ordered triple.

-<strong>Solve the system of equations using elimination, if possible, and express the solution as an ordered triple.  - </strong> A)   B)   C)   D) infinitely many solutions E) no solution <div style=padding-top: 35px>

A) <strong>Solve the system of equations using elimination, if possible, and express the solution as an ordered triple.  - </strong> A)   B)   C)   D) infinitely many solutions E) no solution <div style=padding-top: 35px>
B) <strong>Solve the system of equations using elimination, if possible, and express the solution as an ordered triple.  - </strong> A)   B)   C)   D) infinitely many solutions E) no solution <div style=padding-top: 35px>
C) <strong>Solve the system of equations using elimination, if possible, and express the solution as an ordered triple.  - </strong> A)   B)   C)   D) infinitely many solutions E) no solution <div style=padding-top: 35px>
D) infinitely many solutions
E) no solution
سؤال
Solve the system of equations using elimination, if possible, and express the solution as an ordered triple.

-<strong>Solve the system of equations using elimination, if possible, and express the solution as an ordered triple.  - </strong> A)   B)   C)   D) infinitely many solutions E) no solution <div style=padding-top: 35px>

A) <strong>Solve the system of equations using elimination, if possible, and express the solution as an ordered triple.  - </strong> A)   B)   C)   D) infinitely many solutions E) no solution <div style=padding-top: 35px>
B) <strong>Solve the system of equations using elimination, if possible, and express the solution as an ordered triple.  - </strong> A)   B)   C)   D) infinitely many solutions E) no solution <div style=padding-top: 35px>
C) <strong>Solve the system of equations using elimination, if possible, and express the solution as an ordered triple.  - </strong> A)   B)   C)   D) infinitely many solutions E) no solution <div style=padding-top: 35px>
D) infinitely many solutions
E) no solution
سؤال
Solve the system of equations using elimination, if possible, and express the solution as an ordered triple.

-<strong>Solve the system of equations using elimination, if possible, and express the solution as an ordered triple.  - </strong> A)   B)   C)   D) infinitely many solutions E) no solution <div style=padding-top: 35px>

A) <strong>Solve the system of equations using elimination, if possible, and express the solution as an ordered triple.  - </strong> A)   B)   C)   D) infinitely many solutions E) no solution <div style=padding-top: 35px>
B) <strong>Solve the system of equations using elimination, if possible, and express the solution as an ordered triple.  - </strong> A)   B)   C)   D) infinitely many solutions E) no solution <div style=padding-top: 35px>
C) <strong>Solve the system of equations using elimination, if possible, and express the solution as an ordered triple.  - </strong> A)   B)   C)   D) infinitely many solutions E) no solution <div style=padding-top: 35px>
D) infinitely many solutions
E) no solution
سؤال
Solve the system of equations using elimination, if possible, and express the solution as an ordered triple.

-<strong>Solve the system of equations using elimination, if possible, and express the solution as an ordered triple.  - </strong> A)   B)   C)   D) infinitely many solutions E) no solution <div style=padding-top: 35px>

A) <strong>Solve the system of equations using elimination, if possible, and express the solution as an ordered triple.  - </strong> A)   B)   C)   D) infinitely many solutions E) no solution <div style=padding-top: 35px>
B) <strong>Solve the system of equations using elimination, if possible, and express the solution as an ordered triple.  - </strong> A)   B)   C)   D) infinitely many solutions E) no solution <div style=padding-top: 35px>
C) <strong>Solve the system of equations using elimination, if possible, and express the solution as an ordered triple.  - </strong> A)   B)   C)   D) infinitely many solutions E) no solution <div style=padding-top: 35px>
D) infinitely many solutions
E) no solution
سؤال
Nancy just inherited $83,000. She decides to diversify her investment by putting the money into three different accounts: tax-free bonds which pay 5% annual interest, a certificate of deposit which pays 7% annual interest, and a mutual stock fund which has an average annual rate of return of 12%. The amount she invests in the certificate of deposit is double the amount she invests in bonds. Her goal for total return per year from these three investments is $7720. How much should Nancy put into each account?

A) <strong>Nancy just inherited $83,000. She decides to diversify her investment by putting the money into three different accounts: tax-free bonds which pay 5% annual interest, a certificate of deposit which pays 7% annual interest, and a mutual stock fund which has an average annual rate of return of 12%. The amount she invests in the certificate of deposit is double the amount she invests in bonds. Her goal for total return per year from these three investments is $7720. How much should Nancy put into each account?</strong> A)   B)   C)   D)   E) none of these <div style=padding-top: 35px>
B) <strong>Nancy just inherited $83,000. She decides to diversify her investment by putting the money into three different accounts: tax-free bonds which pay 5% annual interest, a certificate of deposit which pays 7% annual interest, and a mutual stock fund which has an average annual rate of return of 12%. The amount she invests in the certificate of deposit is double the amount she invests in bonds. Her goal for total return per year from these three investments is $7720. How much should Nancy put into each account?</strong> A)   B)   C)   D)   E) none of these <div style=padding-top: 35px>
C) <strong>Nancy just inherited $83,000. She decides to diversify her investment by putting the money into three different accounts: tax-free bonds which pay 5% annual interest, a certificate of deposit which pays 7% annual interest, and a mutual stock fund which has an average annual rate of return of 12%. The amount she invests in the certificate of deposit is double the amount she invests in bonds. Her goal for total return per year from these three investments is $7720. How much should Nancy put into each account?</strong> A)   B)   C)   D)   E) none of these <div style=padding-top: 35px>
D) <strong>Nancy just inherited $83,000. She decides to diversify her investment by putting the money into three different accounts: tax-free bonds which pay 5% annual interest, a certificate of deposit which pays 7% annual interest, and a mutual stock fund which has an average annual rate of return of 12%. The amount she invests in the certificate of deposit is double the amount she invests in bonds. Her goal for total return per year from these three investments is $7720. How much should Nancy put into each account?</strong> A)   B)   C)   D)   E) none of these <div style=padding-top: 35px>
E) none of these
سؤال
In the Storms baseball stadium, there are three levels of seats available. Box seats are sold for $10 each, reserved seats are sold for $7 each, and bleacher seats are sold for $4 each. The stadium capacity is 4500. Total revenue is $27,900 when all seats are sold. If half the box seats, half the reserved seats, and all of the bleacher seats are sold, the revenue is $18,150. Find how many of each type of seat are there.

A) <strong>In the Storms baseball stadium, there are three levels of seats available. Box seats are sold for $10 each, reserved seats are sold for $7 each, and bleacher seats are sold for $4 each. The stadium capacity is 4500. Total revenue is $27,900 when all seats are sold. If half the box seats, half the reserved seats, and all of the bleacher seats are sold, the revenue is $18,150. Find how many of each type of seat are there.</strong> A)   B)   C)   D)   E) none of these <div style=padding-top: 35px>
B) <strong>In the Storms baseball stadium, there are three levels of seats available. Box seats are sold for $10 each, reserved seats are sold for $7 each, and bleacher seats are sold for $4 each. The stadium capacity is 4500. Total revenue is $27,900 when all seats are sold. If half the box seats, half the reserved seats, and all of the bleacher seats are sold, the revenue is $18,150. Find how many of each type of seat are there.</strong> A)   B)   C)   D)   E) none of these <div style=padding-top: 35px>
C) <strong>In the Storms baseball stadium, there are three levels of seats available. Box seats are sold for $10 each, reserved seats are sold for $7 each, and bleacher seats are sold for $4 each. The stadium capacity is 4500. Total revenue is $27,900 when all seats are sold. If half the box seats, half the reserved seats, and all of the bleacher seats are sold, the revenue is $18,150. Find how many of each type of seat are there.</strong> A)   B)   C)   D)   E) none of these <div style=padding-top: 35px>
D) <strong>In the Storms baseball stadium, there are three levels of seats available. Box seats are sold for $10 each, reserved seats are sold for $7 each, and bleacher seats are sold for $4 each. The stadium capacity is 4500. Total revenue is $27,900 when all seats are sold. If half the box seats, half the reserved seats, and all of the bleacher seats are sold, the revenue is $18,150. Find how many of each type of seat are there.</strong> A)   B)   C)   D)   E) none of these <div style=padding-top: 35px>
E) none of these
سؤال
Morgan is keeping track of her calcium intake from three sources for three days. The first day she had a glass of milk, a serving of cottage cheesem and 1 calcium supplement pill totaling 1090 mg of calcium. The second day she had 2 glasses of milk, 1 serving of cottage cheese, and 1 calcium supplement totaling 1450 mg of calcium. The third day she had 1 glass of milk, 2 servings of cottage cheese, and 1 calcium supplement totaling 1310 mg of calcium. Find the amount of calcium in each of the three sources.

A) <strong>Morgan is keeping track of her calcium intake from three sources for three days. The first day she had a glass of milk, a serving of cottage cheesem and 1 calcium supplement pill totaling 1090 mg of calcium. The second day she had 2 glasses of milk, 1 serving of cottage cheese, and 1 calcium supplement totaling 1450 mg of calcium. The third day she had 1 glass of milk, 2 servings of cottage cheese, and 1 calcium supplement totaling 1310 mg of calcium. Find the amount of calcium in each of the three sources.</strong> A)   B)   C)   D)   E) none of these <div style=padding-top: 35px>
B) <strong>Morgan is keeping track of her calcium intake from three sources for three days. The first day she had a glass of milk, a serving of cottage cheesem and 1 calcium supplement pill totaling 1090 mg of calcium. The second day she had 2 glasses of milk, 1 serving of cottage cheese, and 1 calcium supplement totaling 1450 mg of calcium. The third day she had 1 glass of milk, 2 servings of cottage cheese, and 1 calcium supplement totaling 1310 mg of calcium. Find the amount of calcium in each of the three sources.</strong> A)   B)   C)   D)   E) none of these <div style=padding-top: 35px>
C) <strong>Morgan is keeping track of her calcium intake from three sources for three days. The first day she had a glass of milk, a serving of cottage cheesem and 1 calcium supplement pill totaling 1090 mg of calcium. The second day she had 2 glasses of milk, 1 serving of cottage cheese, and 1 calcium supplement totaling 1450 mg of calcium. The third day she had 1 glass of milk, 2 servings of cottage cheese, and 1 calcium supplement totaling 1310 mg of calcium. Find the amount of calcium in each of the three sources.</strong> A)   B)   C)   D)   E) none of these <div style=padding-top: 35px>
D) <strong>Morgan is keeping track of her calcium intake from three sources for three days. The first day she had a glass of milk, a serving of cottage cheesem and 1 calcium supplement pill totaling 1090 mg of calcium. The second day she had 2 glasses of milk, 1 serving of cottage cheese, and 1 calcium supplement totaling 1450 mg of calcium. The third day she had 1 glass of milk, 2 servings of cottage cheese, and 1 calcium supplement totaling 1310 mg of calcium. Find the amount of calcium in each of the three sources.</strong> A)   B)   C)   D)   E) none of these <div style=padding-top: 35px>
E) none of these
سؤال
A company that manufactures gas grills sells their lowest-end grill for . It costs to manufacture each grill and the company has an overhead cost of per month.

-Find the number of grills that must be sold each month to break even.

A) <strong>A company that manufactures gas grills sells their lowest-end grill for . It costs to manufacture each grill and the company has an overhead cost of per month.  -Find the number of grills that must be sold each month to break even.</strong> A)   B)   C)   D)   E) none of these <div style=padding-top: 35px>
B) <strong>A company that manufactures gas grills sells their lowest-end grill for . It costs to manufacture each grill and the company has an overhead cost of per month.  -Find the number of grills that must be sold each month to break even.</strong> A)   B)   C)   D)   E) none of these <div style=padding-top: 35px>
C) <strong>A company that manufactures gas grills sells their lowest-end grill for . It costs to manufacture each grill and the company has an overhead cost of per month.  -Find the number of grills that must be sold each month to break even.</strong> A)   B)   C)   D)   E) none of these <div style=padding-top: 35px>
D) <strong>A company that manufactures gas grills sells their lowest-end grill for . It costs to manufacture each grill and the company has an overhead cost of per month.  -Find the number of grills that must be sold each month to break even.</strong> A)   B)   C)   D)   E) none of these <div style=padding-top: 35px>
E) none of these
سؤال
A company that manufactures gas grills sells their lowest-end grill for . It costs to manufacture each grill and the company has an overhead cost of per month.

-Find the grill-manufacturer's revenue at the break-even point.

A) <strong>A company that manufactures gas grills sells their lowest-end grill for . It costs to manufacture each grill and the company has an overhead cost of per month.  -Find the grill-manufacturer's revenue at the break-even point.</strong> A)   B)   C)   D)   E) none of these <div style=padding-top: 35px>
B) <strong>A company that manufactures gas grills sells their lowest-end grill for . It costs to manufacture each grill and the company has an overhead cost of per month.  -Find the grill-manufacturer's revenue at the break-even point.</strong> A)   B)   C)   D)   E) none of these <div style=padding-top: 35px>
C) <strong>A company that manufactures gas grills sells their lowest-end grill for . It costs to manufacture each grill and the company has an overhead cost of per month.  -Find the grill-manufacturer's revenue at the break-even point.</strong> A)   B)   C)   D)   E) none of these <div style=padding-top: 35px>
D) <strong>A company that manufactures gas grills sells their lowest-end grill for . It costs to manufacture each grill and the company has an overhead cost of per month.  -Find the grill-manufacturer's revenue at the break-even point.</strong> A)   B)   C)   D)   E) none of these <div style=padding-top: 35px>
E) none of these
سؤال
Chloe decides to open a lemonade stand to earn money for the summer. She is able to build a lemonade stand for $49. To make each cup of lemonade, including the cost of the cup, costs $0.12. She decides to sell each cup for $0.40. How many cups of lemonade must Chloe sell to break even?

A) 123
B) 62
C) 175
D) 70
E) none of these
سؤال
Find Chloe's revenue at the break-even point.

A) $175
B) $70
C) $24.80
D) $49.20
E) none of these
سؤال
Suppose that you receive an inheritance of $48,000. You decide to invest some of the money in stocks and some in certificates of deposit (CDs). Because the CDs are a less risky investment you want to put 3 times as much into CDs as stocks. How much are you going to invest in each type of account?

A) <strong>Suppose that you receive an inheritance of $48,000. You decide to invest some of the money in stocks and some in certificates of deposit (CDs). Because the CDs are a less risky investment you want to put 3 times as much into CDs as stocks. How much are you going to invest in each type of account?</strong> A)   B)   C)   D)   E) none of these <div style=padding-top: 35px>
B) <strong>Suppose that you receive an inheritance of $48,000. You decide to invest some of the money in stocks and some in certificates of deposit (CDs). Because the CDs are a less risky investment you want to put 3 times as much into CDs as stocks. How much are you going to invest in each type of account?</strong> A)   B)   C)   D)   E) none of these <div style=padding-top: 35px>
C) <strong>Suppose that you receive an inheritance of $48,000. You decide to invest some of the money in stocks and some in certificates of deposit (CDs). Because the CDs are a less risky investment you want to put 3 times as much into CDs as stocks. How much are you going to invest in each type of account?</strong> A)   B)   C)   D)   E) none of these <div style=padding-top: 35px>
D) <strong>Suppose that you receive an inheritance of $48,000. You decide to invest some of the money in stocks and some in certificates of deposit (CDs). Because the CDs are a less risky investment you want to put 3 times as much into CDs as stocks. How much are you going to invest in each type of account?</strong> A)   B)   C)   D)   E) none of these <div style=padding-top: 35px>
E) none of these
سؤال
The cost of 5 deli sandwiches and 7 small salads is <strong>The cost of 5 deli sandwiches and 7 small salads is   . The cost of 6 deli sandwiches and 4 small salads is   . Find the cost of the deli sandwich and the small salad.</strong> A)   B)   C)   D)   E) none of these <div style=padding-top: 35px> . The cost of 6 deli sandwiches and 4 small salads is
<strong>The cost of 5 deli sandwiches and 7 small salads is   . The cost of 6 deli sandwiches and 4 small salads is   . Find the cost of the deli sandwich and the small salad.</strong> A)   B)   C)   D)   E) none of these <div style=padding-top: 35px> . Find the cost of the deli sandwich and the small salad.

A) <strong>The cost of 5 deli sandwiches and 7 small salads is   . The cost of 6 deli sandwiches and 4 small salads is   . Find the cost of the deli sandwich and the small salad.</strong> A)   B)   C)   D)   E) none of these <div style=padding-top: 35px>
B) <strong>The cost of 5 deli sandwiches and 7 small salads is   . The cost of 6 deli sandwiches and 4 small salads is   . Find the cost of the deli sandwich and the small salad.</strong> A)   B)   C)   D)   E) none of these <div style=padding-top: 35px>
C) <strong>The cost of 5 deli sandwiches and 7 small salads is   . The cost of 6 deli sandwiches and 4 small salads is   . Find the cost of the deli sandwich and the small salad.</strong> A)   B)   C)   D)   E) none of these <div style=padding-top: 35px>
D) <strong>The cost of 5 deli sandwiches and 7 small salads is   . The cost of 6 deli sandwiches and 4 small salads is   . Find the cost of the deli sandwich and the small salad.</strong> A)   B)   C)   D)   E) none of these <div style=padding-top: 35px>
E) none of these
سؤال
A metallurgist has an alloy with 12% titanium and an alloy with 44% titanium. He needs 100 grams of an alloy with 20% titanium. How much of each alloy should be mixed to obtain the 100 grams of alloy with 20% titanium?

A) <strong>A metallurgist has an alloy with 12% titanium and an alloy with 44% titanium. He needs 100 grams of an alloy with 20% titanium. How much of each alloy should be mixed to obtain the 100 grams of alloy with 20% titanium?</strong> A)   B)   C)   D)   E) none of these <div style=padding-top: 35px>
B) <strong>A metallurgist has an alloy with 12% titanium and an alloy with 44% titanium. He needs 100 grams of an alloy with 20% titanium. How much of each alloy should be mixed to obtain the 100 grams of alloy with 20% titanium?</strong> A)   B)   C)   D)   E) none of these <div style=padding-top: 35px>
C) <strong>A metallurgist has an alloy with 12% titanium and an alloy with 44% titanium. He needs 100 grams of an alloy with 20% titanium. How much of each alloy should be mixed to obtain the 100 grams of alloy with 20% titanium?</strong> A)   B)   C)   D)   E) none of these <div style=padding-top: 35px>
D) <strong>A metallurgist has an alloy with 12% titanium and an alloy with 44% titanium. He needs 100 grams of an alloy with 20% titanium. How much of each alloy should be mixed to obtain the 100 grams of alloy with 20% titanium?</strong> A)   B)   C)   D)   E) none of these <div style=padding-top: 35px>
E) none of these
سؤال
The owner of a coffee shop is making a special blend of coffee that combines Ethiopian beans that sell for <strong>The owner of a coffee shop is making a special blend of coffee that combines Ethiopian beans that sell for  Per pound and Guatemalan beans that sell for  Per pound. She wants to have a total of  Pounds of the special blend, and she is selling it for  Per pound. How many pounds of each type of bean should she combine?</strong> A)   B)   C)   D)   E) none of these <div style=padding-top: 35px> Per pound and Guatemalan beans that sell for <strong>The owner of a coffee shop is making a special blend of coffee that combines Ethiopian beans that sell for  Per pound and Guatemalan beans that sell for  Per pound. She wants to have a total of  Pounds of the special blend, and she is selling it for  Per pound. How many pounds of each type of bean should she combine?</strong> A)   B)   C)   D)   E) none of these <div style=padding-top: 35px> Per pound. She wants to have a total of <strong>The owner of a coffee shop is making a special blend of coffee that combines Ethiopian beans that sell for  Per pound and Guatemalan beans that sell for  Per pound. She wants to have a total of  Pounds of the special blend, and she is selling it for  Per pound. How many pounds of each type of bean should she combine?</strong> A)   B)   C)   D)   E) none of these <div style=padding-top: 35px> Pounds of the special blend, and she is selling it for <strong>The owner of a coffee shop is making a special blend of coffee that combines Ethiopian beans that sell for  Per pound and Guatemalan beans that sell for  Per pound. She wants to have a total of  Pounds of the special blend, and she is selling it for  Per pound. How many pounds of each type of bean should she combine?</strong> A)   B)   C)   D)   E) none of these <div style=padding-top: 35px> Per pound. How many pounds of each type of bean should she combine?

A) <strong>The owner of a coffee shop is making a special blend of coffee that combines Ethiopian beans that sell for  Per pound and Guatemalan beans that sell for  Per pound. She wants to have a total of  Pounds of the special blend, and she is selling it for  Per pound. How many pounds of each type of bean should she combine?</strong> A)   B)   C)   D)   E) none of these <div style=padding-top: 35px>
B) <strong>The owner of a coffee shop is making a special blend of coffee that combines Ethiopian beans that sell for  Per pound and Guatemalan beans that sell for  Per pound. She wants to have a total of  Pounds of the special blend, and she is selling it for  Per pound. How many pounds of each type of bean should she combine?</strong> A)   B)   C)   D)   E) none of these <div style=padding-top: 35px>
C) <strong>The owner of a coffee shop is making a special blend of coffee that combines Ethiopian beans that sell for  Per pound and Guatemalan beans that sell for  Per pound. She wants to have a total of  Pounds of the special blend, and she is selling it for  Per pound. How many pounds of each type of bean should she combine?</strong> A)   B)   C)   D)   E) none of these <div style=padding-top: 35px>
D) <strong>The owner of a coffee shop is making a special blend of coffee that combines Ethiopian beans that sell for  Per pound and Guatemalan beans that sell for  Per pound. She wants to have a total of  Pounds of the special blend, and she is selling it for  Per pound. How many pounds of each type of bean should she combine?</strong> A)   B)   C)   D)   E) none of these <div style=padding-top: 35px>
E) none of these
سؤال
Two blends will be used to make ice cream that contains 10% milkfat. Blend A contains 6% milkfat and blend B contains 13% milkfat. How much of each blend should be used to make 2000 gallons of ice cream that contains 10% milkfat?

A) <strong>Two blends will be used to make ice cream that contains 10% milkfat. Blend A contains 6% milkfat and blend B contains 13% milkfat. How much of each blend should be used to make 2000 gallons of ice cream that contains 10% milkfat?</strong> A)   B)   C)   D)   E) none of these <div style=padding-top: 35px>
B) <strong>Two blends will be used to make ice cream that contains 10% milkfat. Blend A contains 6% milkfat and blend B contains 13% milkfat. How much of each blend should be used to make 2000 gallons of ice cream that contains 10% milkfat?</strong> A)   B)   C)   D)   E) none of these <div style=padding-top: 35px>
C) <strong>Two blends will be used to make ice cream that contains 10% milkfat. Blend A contains 6% milkfat and blend B contains 13% milkfat. How much of each blend should be used to make 2000 gallons of ice cream that contains 10% milkfat?</strong> A)   B)   C)   D)   E) none of these <div style=padding-top: 35px>
D) <strong>Two blends will be used to make ice cream that contains 10% milkfat. Blend A contains 6% milkfat and blend B contains 13% milkfat. How much of each blend should be used to make 2000 gallons of ice cream that contains 10% milkfat?</strong> A)   B)   C)   D)   E) none of these <div style=padding-top: 35px>
E) none of these
سؤال
One cell phone plan charges $35.99 per month, including 400 minutes of out-of-network calls each month. Each additional minute outside the network costs $0.25. Another plan charges $59.99 per month, including 1000 minutes of out-of-network calls per month. This plan charges $0.40 for each additional minute out of the network. Find the number of total minutes outside the network a customer must use for the plans to cost the same in a month.

A) 1840
B) 1400
C) 1000
D) 400
E) none of these
سؤال
Sally and Harry go to a fast food restaurant for breakfast. Sally ordered <strong>Sally and Harry go to a fast food restaurant for breakfast. Sally ordered  Sausage biscuit sandwiches and  Orange juice. Her meal contained  Grams of carbohydrates. Harry ordered  Sausage biscuit sandwiches and  Orange juices and his meal contained  Grams of carbohydrates. How many carbohydrates are in the each sausage biscuit and in each orange juice?</strong> A)   B)   C)   D)   E) none of these <div style=padding-top: 35px> Sausage biscuit sandwiches and <strong>Sally and Harry go to a fast food restaurant for breakfast. Sally ordered  Sausage biscuit sandwiches and  Orange juice. Her meal contained  Grams of carbohydrates. Harry ordered  Sausage biscuit sandwiches and  Orange juices and his meal contained  Grams of carbohydrates. How many carbohydrates are in the each sausage biscuit and in each orange juice?</strong> A)   B)   C)   D)   E) none of these <div style=padding-top: 35px> Orange juice. Her meal contained <strong>Sally and Harry go to a fast food restaurant for breakfast. Sally ordered  Sausage biscuit sandwiches and  Orange juice. Her meal contained  Grams of carbohydrates. Harry ordered  Sausage biscuit sandwiches and  Orange juices and his meal contained  Grams of carbohydrates. How many carbohydrates are in the each sausage biscuit and in each orange juice?</strong> A)   B)   C)   D)   E) none of these <div style=padding-top: 35px> Grams of carbohydrates. Harry ordered <strong>Sally and Harry go to a fast food restaurant for breakfast. Sally ordered  Sausage biscuit sandwiches and  Orange juice. Her meal contained  Grams of carbohydrates. Harry ordered  Sausage biscuit sandwiches and  Orange juices and his meal contained  Grams of carbohydrates. How many carbohydrates are in the each sausage biscuit and in each orange juice?</strong> A)   B)   C)   D)   E) none of these <div style=padding-top: 35px> Sausage biscuit sandwiches and <strong>Sally and Harry go to a fast food restaurant for breakfast. Sally ordered  Sausage biscuit sandwiches and  Orange juice. Her meal contained  Grams of carbohydrates. Harry ordered  Sausage biscuit sandwiches and  Orange juices and his meal contained  Grams of carbohydrates. How many carbohydrates are in the each sausage biscuit and in each orange juice?</strong> A)   B)   C)   D)   E) none of these <div style=padding-top: 35px> Orange juices and his meal contained <strong>Sally and Harry go to a fast food restaurant for breakfast. Sally ordered  Sausage biscuit sandwiches and  Orange juice. Her meal contained  Grams of carbohydrates. Harry ordered  Sausage biscuit sandwiches and  Orange juices and his meal contained  Grams of carbohydrates. How many carbohydrates are in the each sausage biscuit and in each orange juice?</strong> A)   B)   C)   D)   E) none of these <div style=padding-top: 35px> Grams of carbohydrates. How many carbohydrates are in the each sausage biscuit and in each orange juice?

A) <strong>Sally and Harry go to a fast food restaurant for breakfast. Sally ordered  Sausage biscuit sandwiches and  Orange juice. Her meal contained  Grams of carbohydrates. Harry ordered  Sausage biscuit sandwiches and  Orange juices and his meal contained  Grams of carbohydrates. How many carbohydrates are in the each sausage biscuit and in each orange juice?</strong> A)   B)   C)   D)   E) none of these <div style=padding-top: 35px>
B) <strong>Sally and Harry go to a fast food restaurant for breakfast. Sally ordered  Sausage biscuit sandwiches and  Orange juice. Her meal contained  Grams of carbohydrates. Harry ordered  Sausage biscuit sandwiches and  Orange juices and his meal contained  Grams of carbohydrates. How many carbohydrates are in the each sausage biscuit and in each orange juice?</strong> A)   B)   C)   D)   E) none of these <div style=padding-top: 35px>
C) <strong>Sally and Harry go to a fast food restaurant for breakfast. Sally ordered  Sausage biscuit sandwiches and  Orange juice. Her meal contained  Grams of carbohydrates. Harry ordered  Sausage biscuit sandwiches and  Orange juices and his meal contained  Grams of carbohydrates. How many carbohydrates are in the each sausage biscuit and in each orange juice?</strong> A)   B)   C)   D)   E) none of these <div style=padding-top: 35px>
D) <strong>Sally and Harry go to a fast food restaurant for breakfast. Sally ordered  Sausage biscuit sandwiches and  Orange juice. Her meal contained  Grams of carbohydrates. Harry ordered  Sausage biscuit sandwiches and  Orange juices and his meal contained  Grams of carbohydrates. How many carbohydrates are in the each sausage biscuit and in each orange juice?</strong> A)   B)   C)   D)   E) none of these <div style=padding-top: 35px>
E) none of these
سؤال
Sean is shifting his debt on his credit cards. He wants 4 times as much on his Visa card as on his Mastercard. Find the amount of debt he should have on each card.

A) <strong>Sean is shifting his debt on his credit cards. He wants 4 times as much on his Visa card as on his Mastercard. Find the amount of debt he should have on each card.</strong> A)   B)   C)   D)   E) none of these <div style=padding-top: 35px>
B) <strong>Sean is shifting his debt on his credit cards. He wants 4 times as much on his Visa card as on his Mastercard. Find the amount of debt he should have on each card.</strong> A)   B)   C)   D)   E) none of these <div style=padding-top: 35px>
C) <strong>Sean is shifting his debt on his credit cards. He wants 4 times as much on his Visa card as on his Mastercard. Find the amount of debt he should have on each card.</strong> A)   B)   C)   D)   E) none of these <div style=padding-top: 35px>
D) <strong>Sean is shifting his debt on his credit cards. He wants 4 times as much on his Visa card as on his Mastercard. Find the amount of debt he should have on each card.</strong> A)   B)   C)   D)   E) none of these <div style=padding-top: 35px>
E) none of these
سؤال
A Saturday matinee sells adult tickets for $6.50 and kid tickets, for kids under 12, for $4.00. A total of 150 tickets were sold, and the revenue from the ticket sales was $805. Find the number of adult tickets and the number of kid tickets sold.

A) <strong>A Saturday matinee sells adult tickets for $6.50 and kid tickets, for kids under 12, for $4.00. A total of 150 tickets were sold, and the revenue from the ticket sales was $805. Find the number of adult tickets and the number of kid tickets sold.</strong> A)   B)   C)   D)   E) none of these <div style=padding-top: 35px>
B) <strong>A Saturday matinee sells adult tickets for $6.50 and kid tickets, for kids under 12, for $4.00. A total of 150 tickets were sold, and the revenue from the ticket sales was $805. Find the number of adult tickets and the number of kid tickets sold.</strong> A)   B)   C)   D)   E) none of these <div style=padding-top: 35px>
C) <strong>A Saturday matinee sells adult tickets for $6.50 and kid tickets, for kids under 12, for $4.00. A total of 150 tickets were sold, and the revenue from the ticket sales was $805. Find the number of adult tickets and the number of kid tickets sold.</strong> A)   B)   C)   D)   E) none of these <div style=padding-top: 35px>
D) <strong>A Saturday matinee sells adult tickets for $6.50 and kid tickets, for kids under 12, for $4.00. A total of 150 tickets were sold, and the revenue from the ticket sales was $805. Find the number of adult tickets and the number of kid tickets sold.</strong> A)   B)   C)   D)   E) none of these <div style=padding-top: 35px>
E) none of these
سؤال
Two bicyclists leave the same point at the same time and travel in opposite directions. One cyclist rides at an average speed of 9 mph and the other at an average speed of 12 mph. Find the distance each cyclist has gone when the distance between them is 22 miles. Round your answer to the nearest tenth of a mile.

A) <strong>Two bicyclists leave the same point at the same time and travel in opposite directions. One cyclist rides at an average speed of 9 mph and the other at an average speed of 12 mph. Find the distance each cyclist has gone when the distance between them is 22 miles. Round your answer to the nearest tenth of a mile.</strong> A)   B)   C)   D)   E) none of these <div style=padding-top: 35px>
B) <strong>Two bicyclists leave the same point at the same time and travel in opposite directions. One cyclist rides at an average speed of 9 mph and the other at an average speed of 12 mph. Find the distance each cyclist has gone when the distance between them is 22 miles. Round your answer to the nearest tenth of a mile.</strong> A)   B)   C)   D)   E) none of these <div style=padding-top: 35px>
C) <strong>Two bicyclists leave the same point at the same time and travel in opposite directions. One cyclist rides at an average speed of 9 mph and the other at an average speed of 12 mph. Find the distance each cyclist has gone when the distance between them is 22 miles. Round your answer to the nearest tenth of a mile.</strong> A)   B)   C)   D)   E) none of these <div style=padding-top: 35px>
D) <strong>Two bicyclists leave the same point at the same time and travel in opposite directions. One cyclist rides at an average speed of 9 mph and the other at an average speed of 12 mph. Find the distance each cyclist has gone when the distance between them is 22 miles. Round your answer to the nearest tenth of a mile.</strong> A)   B)   C)   D)   E) none of these <div style=padding-top: 35px>
E) none of these
سؤال
Miley is shifting her credit card debt. She has a total of $2292 in debt, and she wants three times as much debt on her Visa as on her Master Card. How much debt will she have on each credit card?

A) <strong>Miley is shifting her credit card debt. She has a total of $2292 in debt, and she wants three times as much debt on her Visa as on her Master Card. How much debt will she have on each credit card?</strong> A)   B)   C)   D)   E) none of these <div style=padding-top: 35px>
B) <strong>Miley is shifting her credit card debt. She has a total of $2292 in debt, and she wants three times as much debt on her Visa as on her Master Card. How much debt will she have on each credit card?</strong> A)   B)   C)   D)   E) none of these <div style=padding-top: 35px>
C) <strong>Miley is shifting her credit card debt. She has a total of $2292 in debt, and she wants three times as much debt on her Visa as on her Master Card. How much debt will she have on each credit card?</strong> A)   B)   C)   D)   E) none of these <div style=padding-top: 35px>
D) <strong>Miley is shifting her credit card debt. She has a total of $2292 in debt, and she wants three times as much debt on her Visa as on her Master Card. How much debt will she have on each credit card?</strong> A)   B)   C)   D)   E) none of these <div style=padding-top: 35px>
E) none of these
سؤال
Solve the equation <strong>Solve the equation  For the variable  </strong> A)   B)   C)   D)   E) none of these <div style=padding-top: 35px> For the variable <strong>Solve the equation  For the variable  </strong> A)   B)   C)   D)   E) none of these <div style=padding-top: 35px>

A) <strong>Solve the equation  For the variable  </strong> A)   B)   C)   D)   E) none of these <div style=padding-top: 35px>
B) <strong>Solve the equation  For the variable  </strong> A)   B)   C)   D)   E) none of these <div style=padding-top: 35px>
C) <strong>Solve the equation  For the variable  </strong> A)   B)   C)   D)   E) none of these <div style=padding-top: 35px>
D) <strong>Solve the equation  For the variable  </strong> A)   B)   C)   D)   E) none of these <div style=padding-top: 35px>
E) none of these
سؤال
Write the system of equations in standard from, clearing all fractions: <strong>Write the system of equations in standard from, clearing all fractions:  </strong> A)   B)   C)   D)   E) none of these <div style=padding-top: 35px>

A) <strong>Write the system of equations in standard from, clearing all fractions:  </strong> A)   B)   C)   D)   E) none of these <div style=padding-top: 35px>
B) <strong>Write the system of equations in standard from, clearing all fractions:  </strong> A)   B)   C)   D)   E) none of these <div style=padding-top: 35px>
C) <strong>Write the system of equations in standard from, clearing all fractions:  </strong> A)   B)   C)   D)   E) none of these <div style=padding-top: 35px>
D) <strong>Write the system of equations in standard from, clearing all fractions:  </strong> A)   B)   C)   D)   E) none of these <div style=padding-top: 35px>
E) none of these
سؤال
Solve the system of equations by substitution.

-<strong>Solve the system of equations by substitution.  - </strong> A) {-3 ,5} B) {3 , -5} C) {0 , 4} D) infinitely many solutions E) no solution <div style=padding-top: 35px>

A) {-3 ,5}
B) {3 , -5}
C) {0 , 4}
D) infinitely many solutions
E) no solution
سؤال
Solve the system of equations by substitution.

-<strong>Solve the system of equations by substitution.  - </strong> A) {-1 ,   } B) {-6 ,-7} C) { 6 ,-7} D) infinitely many solutions E) no solution <div style=padding-top: 35px>

A) {-1 , <strong>Solve the system of equations by substitution.  - </strong> A) {-1 ,   } B) {-6 ,-7} C) { 6 ,-7} D) infinitely many solutions E) no solution <div style=padding-top: 35px> }
B) {-6 ,-7}
C) { 6 ,-7}
D) infinitely many solutions
E) no solution
سؤال
Solve the system of equations by substitution.

-<strong>Solve the system of equations by substitution.  - </strong> A) {-1 ,5} B) {0 ,-5} C) {5 ,0 } D) infinitely many solutions E) no solution <div style=padding-top: 35px>

A) {-1 ,5}
B) {0 ,-5}
C) {5 ,0 }
D) infinitely many solutions
E) no solution
سؤال
Solve the system of equations by substitution.

-<strong>Solve the system of equations by substitution.  - </strong> A) {7 ,-11} B) {7 ,-9} C) {8 ,-11} D) infinitely many solutions E) no solution <div style=padding-top: 35px>

A) {7 ,-11}
B) {7 ,-9}
C) {8 ,-11}
D) infinitely many solutions
E) no solution
سؤال
Solve the system of equations by substitution.

-<strong>Solve the system of equations by substitution.  - </strong> A) {35 ,35 } B) {0 ,   } C) {   , 0} D) infinitely many solutions E) no solution <div style=padding-top: 35px>

A) {35 ,35 }
B) {0 , <strong>Solve the system of equations by substitution.  - </strong> A) {35 ,35 } B) {0 ,   } C) {   , 0} D) infinitely many solutions E) no solution <div style=padding-top: 35px> }
C) { <strong>Solve the system of equations by substitution.  - </strong> A) {35 ,35 } B) {0 ,   } C) {   , 0} D) infinitely many solutions E) no solution <div style=padding-top: 35px> , 0}
D) infinitely many solutions
E) no solution
سؤال
Use elimination to solve the system of equations.

-<strong>Use elimination to solve the system of equations.  - </strong> A) {1 ,3} B) {-1 ,3} C) {8 ,3} D) infinitely many solutions E) no solution <div style=padding-top: 35px>

A) {1 ,3}
B) {-1 ,3}
C) {8 ,3}
D) infinitely many solutions
E) no solution
سؤال
Use elimination to solve the system of equations.

-<strong>Use elimination to solve the system of equations.  - </strong> A) {0 ,3} B) {-12 ,3} C) {0 ,-3} D) infinitely many solutions E) no solution <div style=padding-top: 35px>

A) {0 ,3}
B) {-12 ,3}
C) {0 ,-3}
D) infinitely many solutions
E) no solution
سؤال
Use elimination to solve the system of equations.

-<strong>Use elimination to solve the system of equations.  - </strong> A) {   } B) {   } C) {   } D) infinitely many solutions E) no solution <div style=padding-top: 35px>

A) { <strong>Use elimination to solve the system of equations.  - </strong> A) {   } B) {   } C) {   } D) infinitely many solutions E) no solution <div style=padding-top: 35px> }
B) { <strong>Use elimination to solve the system of equations.  - </strong> A) {   } B) {   } C) {   } D) infinitely many solutions E) no solution <div style=padding-top: 35px> }
C) { <strong>Use elimination to solve the system of equations.  - </strong> A) {   } B) {   } C) {   } D) infinitely many solutions E) no solution <div style=padding-top: 35px> }
D) infinitely many solutions
E) no solution
سؤال
Use elimination to solve the system of equations.

-<strong>Use elimination to solve the system of equations.  - </strong> A) {   } B) {   } C) {   } D) infinitely many solutions E) no solution <div style=padding-top: 35px>

A) { <strong>Use elimination to solve the system of equations.  - </strong> A) {   } B) {   } C) {   } D) infinitely many solutions E) no solution <div style=padding-top: 35px> }
B) { <strong>Use elimination to solve the system of equations.  - </strong> A) {   } B) {   } C) {   } D) infinitely many solutions E) no solution <div style=padding-top: 35px> }
C) { <strong>Use elimination to solve the system of equations.  - </strong> A) {   } B) {   } C) {   } D) infinitely many solutions E) no solution <div style=padding-top: 35px> }
D) infinitely many solutions
E) no solution
سؤال
Use elimination to solve the system of equations.

-<strong>Use elimination to solve the system of equations.  - </strong> A) {272 , 84} B) {544 , -840} C) {84 , 272} D) infinitely many solutions E) no solution <div style=padding-top: 35px>

A) {272 , 84}
B) {544 , -840}
C) {84 , 272}
D) infinitely many solutions
E) no solution
سؤال
Solve the system using any method.

-<strong>Solve the system using any method.  - </strong> A) {0 , 0} B) {   } C){   } D) infinitely many solutions E) no solution <div style=padding-top: 35px>

A) {0 , 0}
B) { <strong>Solve the system using any method.  - </strong> A) {0 , 0} B) {   } C){   } D) infinitely many solutions E) no solution <div style=padding-top: 35px> }
C){ <strong>Solve the system using any method.  - </strong> A) {0 , 0} B) {   } C){   } D) infinitely many solutions E) no solution <div style=padding-top: 35px> }
D) infinitely many solutions
E) no solution
سؤال
Solve the system using any method.

-<strong>Solve the system using any method.  - </strong> A) {2 , -4} B) {-2 , 10} C) {   } D) infinitely many solutions E) no solution <div style=padding-top: 35px>

A) {2 , -4}
B) {-2 , 10}
C) { <strong>Solve the system using any method.  - </strong> A) {2 , -4} B) {-2 , 10} C) {   } D) infinitely many solutions E) no solution <div style=padding-top: 35px> }
D) infinitely many solutions
E) no solution
سؤال
Solve the system using any method.

-<strong>Solve the system using any method.  - </strong> A) {   } B) {   } C) {   } D) infinitely many solutions E) no solution <div style=padding-top: 35px>

A) { <strong>Solve the system using any method.  - </strong> A) {   } B) {   } C) {   } D) infinitely many solutions E) no solution <div style=padding-top: 35px> }
B) { <strong>Solve the system using any method.  - </strong> A) {   } B) {   } C) {   } D) infinitely many solutions E) no solution <div style=padding-top: 35px> }
C) { <strong>Solve the system using any method.  - </strong> A) {   } B) {   } C) {   } D) infinitely many solutions E) no solution <div style=padding-top: 35px> }
D) infinitely many solutions
E) no solution
سؤال
Use an algebraic method to determine for which, if any, system {-2 , -4} is a solution.

A) <strong>Use an algebraic method to determine for which, if any, system {-2 , -4} is a solution.</strong> A)   B)   C)   D)   E) none of these <div style=padding-top: 35px>
B) <strong>Use an algebraic method to determine for which, if any, system {-2 , -4} is a solution.</strong> A)   B)   C)   D)   E) none of these <div style=padding-top: 35px>
C) <strong>Use an algebraic method to determine for which, if any, system {-2 , -4} is a solution.</strong> A)   B)   C)   D)   E) none of these <div style=padding-top: 35px>
D) <strong>Use an algebraic method to determine for which, if any, system {-2 , -4} is a solution.</strong> A)   B)   C)   D)   E) none of these <div style=padding-top: 35px>
E) none of these
سؤال
Use an algebraic method to determine for which, if any, system {6 , -2} is a solution.

A) <strong>Use an algebraic method to determine for which, if any, system {6 , -2} is a solution.</strong> A)   B)   C)   D)   E) none of these <div style=padding-top: 35px>
B) <strong>Use an algebraic method to determine for which, if any, system {6 , -2} is a solution.</strong> A)   B)   C)   D)   E) none of these <div style=padding-top: 35px>
C) <strong>Use an algebraic method to determine for which, if any, system {6 , -2} is a solution.</strong> A)   B)   C)   D)   E) none of these <div style=padding-top: 35px>
D) <strong>Use an algebraic method to determine for which, if any, system {6 , -2} is a solution.</strong> A)   B)   C)   D)   E) none of these <div style=padding-top: 35px>
E) none of these
سؤال
Use an algebraic method to determine for which, if any, system {-3 , 2} is a solution.

A) <strong>Use an algebraic method to determine for which, if any, system {-3 , 2} is a solution.</strong> A)   B)   C)   D)   E) none of these <div style=padding-top: 35px>
B) <strong>Use an algebraic method to determine for which, if any, system {-3 , 2} is a solution.</strong> A)   B)   C)   D)   E) none of these <div style=padding-top: 35px>
C) <strong>Use an algebraic method to determine for which, if any, system {-3 , 2} is a solution.</strong> A)   B)   C)   D)   E) none of these <div style=padding-top: 35px>
D) <strong>Use an algebraic method to determine for which, if any, system {-3 , 2} is a solution.</strong> A)   B)   C)   D)   E) none of these <div style=padding-top: 35px>
E) none of these
سؤال
The graph represents the system of equations <strong>The graph represents the system of equations   . Solve by graphing.  </strong> A) {-3 , 0} B) {0 , -3} C) {1 , -1} D) {-3 , 0}. E) no solution <div style=padding-top: 35px>
. Solve by graphing.
<strong>The graph represents the system of equations   . Solve by graphing.  </strong> A) {-3 , 0} B) {0 , -3} C) {1 , -1} D) {-3 , 0}. E) no solution <div style=padding-top: 35px>

A) {-3 , 0}
B) {0 , -3}
C) {1 , -1}
D) {-3 , 0}.
E) no solution
سؤال
The graph represents the system of equations <strong>The graph represents the system of equations   . Solve by graphing.  </strong> A) {-1 , -2} B) {2 , -1} C) {-2, -1} D) {-1 , 2} E) no solution <div style=padding-top: 35px>
. Solve by graphing.
<strong>The graph represents the system of equations   . Solve by graphing.  </strong> A) {-1 , -2} B) {2 , -1} C) {-2, -1} D) {-1 , 2} E) no solution <div style=padding-top: 35px>

A) {-1 , -2}
B) {2 , -1}
C) {-2, -1}
D) {-1 , 2}
E) no solution
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Deck 4: Systems of Linear Equations
1
Graph the system of linear inequalities. Label the solution region.

-<strong>Graph the system of linear inequalities. Label the solution region.  - </strong> A)   B)   C)   D)   E) none of these

A)
<strong>Graph the system of linear inequalities. Label the solution region.  - </strong> A)   B)   C)   D)   E) none of these
B) <strong>Graph the system of linear inequalities. Label the solution region.  - </strong> A)   B)   C)   D)   E) none of these
C) <strong>Graph the system of linear inequalities. Label the solution region.  - </strong> A)   B)   C)   D)   E) none of these
D) <strong>Graph the system of linear inequalities. Label the solution region.  - </strong> A)   B)   C)   D)   E) none of these
E) none of these

2
Graph the system of linear inequalities. Label the solution region.

-<strong>Graph the system of linear inequalities. Label the solution region.  - </strong> A)   B)   C)   D)   E) none of these

A) <strong>Graph the system of linear inequalities. Label the solution region.  - </strong> A)   B)   C)   D)   E) none of these
B) <strong>Graph the system of linear inequalities. Label the solution region.  - </strong> A)   B)   C)   D)   E) none of these
C) <strong>Graph the system of linear inequalities. Label the solution region.  - </strong> A)   B)   C)   D)   E) none of these
D) <strong>Graph the system of linear inequalities. Label the solution region.  - </strong> A)   B)   C)   D)   E) none of these
E) none of these

3
Graph the system of linear inequalities. Label the solution region.

-<strong>Graph the system of linear inequalities. Label the solution region.  - </strong> A)   B)   C)   D)   E) none of these

A) <strong>Graph the system of linear inequalities. Label the solution region.  - </strong> A)   B)   C)   D)   E) none of these
B) <strong>Graph the system of linear inequalities. Label the solution region.  - </strong> A)   B)   C)   D)   E) none of these
C) <strong>Graph the system of linear inequalities. Label the solution region.  - </strong> A)   B)   C)   D)   E) none of these
D) <strong>Graph the system of linear inequalities. Label the solution region.  - </strong> A)   B)   C)   D)   E) none of these
E) none of these

4
Graph the system of linear inequalities. Label the solution region.

-<strong>Graph the system of linear inequalities. Label the solution region.  - </strong> A)   B)   C)   D)   E) none of these

A) <strong>Graph the system of linear inequalities. Label the solution region.  - </strong> A)   B)   C)   D)   E) none of these
B) <strong>Graph the system of linear inequalities. Label the solution region.  - </strong> A)   B)   C)   D)   E) none of these
C) <strong>Graph the system of linear inequalities. Label the solution region.  - </strong> A)   B)   C)   D)   E) none of these
D) <strong>Graph the system of linear inequalities. Label the solution region.  - </strong> A)   B)   C)   D)   E) none of these
E) none of these
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5
The graph represents a system of linear inequalities. Estimate the vertices. <strong>The graph represents a system of linear inequalities. Estimate the vertices.  </strong> A)   B)   C)   D)   E) none of these

A) <strong>The graph represents a system of linear inequalities. Estimate the vertices.  </strong> A)   B)   C)   D)   E) none of these
B) <strong>The graph represents a system of linear inequalities. Estimate the vertices.  </strong> A)   B)   C)   D)   E) none of these
C) <strong>The graph represents a system of linear inequalities. Estimate the vertices.  </strong> A)   B)   C)   D)   E) none of these
D) <strong>The graph represents a system of linear inequalities. Estimate the vertices.  </strong> A)   B)   C)   D)   E) none of these
E) none of these
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6
The graph represents a system of inequalities. Estimate the vertices. <strong>The graph represents a system of inequalities. Estimate the vertices.  </strong> A)   B)   C)   D)   E) none of these

A) <strong>The graph represents a system of inequalities. Estimate the vertices.  </strong> A)   B)   C)   D)   E) none of these
B) <strong>The graph represents a system of inequalities. Estimate the vertices.  </strong> A)   B)   C)   D)   E) none of these
C) <strong>The graph represents a system of inequalities. Estimate the vertices.  </strong> A)   B)   C)   D)   E) none of these
D) <strong>The graph represents a system of inequalities. Estimate the vertices.  </strong> A)   B)   C)   D)   E) none of these
E) none of these
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7
Use an algebraic method to find the vertices of the system of linear inequalities. <strong>Use an algebraic method to find the vertices of the system of linear inequalities.  </strong> A)   B)   C)   D)   E) none of these

A) <strong>Use an algebraic method to find the vertices of the system of linear inequalities.  </strong> A)   B)   C)   D)   E) none of these
B) <strong>Use an algebraic method to find the vertices of the system of linear inequalities.  </strong> A)   B)   C)   D)   E) none of these
C) <strong>Use an algebraic method to find the vertices of the system of linear inequalities.  </strong> A)   B)   C)   D)   E) none of these
D) <strong>Use an algebraic method to find the vertices of the system of linear inequalities.  </strong> A)   B)   C)   D)   E) none of these
E) none of these
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8
Use an algebraic method to determine which, if any, of the ordered pairs is a solution to the system of inequalities. <strong>Use an algebraic method to determine which, if any, of the ordered pairs is a solution to the system of inequalities.  </strong> A)   B)   C)   D)   E) none of these

A) <strong>Use an algebraic method to determine which, if any, of the ordered pairs is a solution to the system of inequalities.  </strong> A)   B)   C)   D)   E) none of these
B) <strong>Use an algebraic method to determine which, if any, of the ordered pairs is a solution to the system of inequalities.  </strong> A)   B)   C)   D)   E) none of these
C) <strong>Use an algebraic method to determine which, if any, of the ordered pairs is a solution to the system of inequalities.  </strong> A)   B)   C)   D)   E) none of these
D) <strong>Use an algebraic method to determine which, if any, of the ordered pairs is a solution to the system of inequalities.  </strong> A)   B)   C)   D)   E) none of these
E) none of these
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9
Use the system of inequalities. <strong>Use the system of inequalities.    -Graph the system.</strong> A)   B)   C)   D)   E) none of these

-Graph the system.

A) <strong>Use the system of inequalities.    -Graph the system.</strong> A)   B)   C)   D)   E) none of these
B) <strong>Use the system of inequalities.    -Graph the system.</strong> A)   B)   C)   D)   E) none of these
C) <strong>Use the system of inequalities.    -Graph the system.</strong> A)   B)   C)   D)   E) none of these
D) <strong>Use the system of inequalities.    -Graph the system.</strong> A)   B)   C)   D)   E) none of these
E) none of these
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10
Use the system of inequalities. <strong>Use the system of inequalities.    -Use an algebraic method to find the vertices.</strong> A)   B)   C)   D)   E) none of these

-Use an algebraic method to find the vertices.

A) <strong>Use the system of inequalities.    -Use an algebraic method to find the vertices.</strong> A)   B)   C)   D)   E) none of these
B) <strong>Use the system of inequalities.    -Use an algebraic method to find the vertices.</strong> A)   B)   C)   D)   E) none of these
C) <strong>Use the system of inequalities.    -Use an algebraic method to find the vertices.</strong> A)   B)   C)   D)   E) none of these
D) <strong>Use the system of inequalities.    -Use an algebraic method to find the vertices.</strong> A)   B)   C)   D)   E) none of these
E) none of these
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11
Use the system of inequalities. <strong>Use the system of inequalities.    -Graph the system of inequalities.</strong> A)   B)   C)   D)   E) none of these

-Graph the system of inequalities.

A) <strong>Use the system of inequalities.    -Graph the system of inequalities.</strong> A)   B)   C)   D)   E) none of these
B) <strong>Use the system of inequalities.    -Graph the system of inequalities.</strong> A)   B)   C)   D)   E) none of these
C) <strong>Use the system of inequalities.    -Graph the system of inequalities.</strong> A)   B)   C)   D)   E) none of these
D) <strong>Use the system of inequalities.    -Graph the system of inequalities.</strong> A)   B)   C)   D)   E) none of these
E) none of these
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12
Use the system of inequalities. <strong>Use the system of inequalities.    -Use an algebraic method to find the vertices.</strong> A)   B)   C)   D)   E) none of these

-Use an algebraic method to find the vertices.

A) <strong>Use the system of inequalities.    -Use an algebraic method to find the vertices.</strong> A)   B)   C)   D)   E) none of these
B) <strong>Use the system of inequalities.    -Use an algebraic method to find the vertices.</strong> A)   B)   C)   D)   E) none of these
C) <strong>Use the system of inequalities.    -Use an algebraic method to find the vertices.</strong> A)   B)   C)   D)   E) none of these
D) <strong>Use the system of inequalities.    -Use an algebraic method to find the vertices.</strong> A)   B)   C)   D)   E) none of these
E) none of these
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13
An investor can invest at most $20,000 in a retirement plan. He wants to place at least $5000 in Treasury Notes yielding 5% and more than $14,000 in corporate bonds yielding 8%. He also wants to earn $1420 annually. Let
<strong>An investor can invest at most $20,000 in a retirement plan. He wants to place at least $5000 in Treasury Notes yielding 5% and more than $14,000 in corporate bonds yielding 8%. He also wants to earn $1420 annually. Let   the amount invested in Treasury Notes and   the amount invested in corporate bonds.  -Write four constraints that describe this situation.</strong> A)   B)   C)   D)   E) none of these the amount invested in Treasury Notes and <strong>An investor can invest at most $20,000 in a retirement plan. He wants to place at least $5000 in Treasury Notes yielding 5% and more than $14,000 in corporate bonds yielding 8%. He also wants to earn $1420 annually. Let   the amount invested in Treasury Notes and   the amount invested in corporate bonds.  -Write four constraints that describe this situation.</strong> A)   B)   C)   D)   E) none of these the amount invested in corporate bonds.

-Write four constraints that describe this situation.

A) <strong>An investor can invest at most $20,000 in a retirement plan. He wants to place at least $5000 in Treasury Notes yielding 5% and more than $14,000 in corporate bonds yielding 8%. He also wants to earn $1420 annually. Let   the amount invested in Treasury Notes and   the amount invested in corporate bonds.  -Write four constraints that describe this situation.</strong> A)   B)   C)   D)   E) none of these
B) <strong>An investor can invest at most $20,000 in a retirement plan. He wants to place at least $5000 in Treasury Notes yielding 5% and more than $14,000 in corporate bonds yielding 8%. He also wants to earn $1420 annually. Let   the amount invested in Treasury Notes and   the amount invested in corporate bonds.  -Write four constraints that describe this situation.</strong> A)   B)   C)   D)   E) none of these
C) <strong>An investor can invest at most $20,000 in a retirement plan. He wants to place at least $5000 in Treasury Notes yielding 5% and more than $14,000 in corporate bonds yielding 8%. He also wants to earn $1420 annually. Let   the amount invested in Treasury Notes and   the amount invested in corporate bonds.  -Write four constraints that describe this situation.</strong> A)   B)   C)   D)   E) none of these
D) <strong>An investor can invest at most $20,000 in a retirement plan. He wants to place at least $5000 in Treasury Notes yielding 5% and more than $14,000 in corporate bonds yielding 8%. He also wants to earn $1420 annually. Let   the amount invested in Treasury Notes and   the amount invested in corporate bonds.  -Write four constraints that describe this situation.</strong> A)   B)   C)   D)   E) none of these
E) none of these
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14
An investor can invest at most $20,000 in a retirement plan. He wants to place at least $5000 in Treasury Notes yielding 5% and more than $14,000 in corporate bonds yielding 8%. He also wants to earn $1420 annually. Let
<strong>An investor can invest at most $20,000 in a retirement plan. He wants to place at least $5000 in Treasury Notes yielding 5% and more than $14,000 in corporate bonds yielding 8%. He also wants to earn $1420 annually. Let   the amount invested in Treasury Notes and   the amount invested in corporate bonds.  -Graph the constraints.</strong> A)   B)   C)   D)   E) none of these the amount invested in Treasury Notes and <strong>An investor can invest at most $20,000 in a retirement plan. He wants to place at least $5000 in Treasury Notes yielding 5% and more than $14,000 in corporate bonds yielding 8%. He also wants to earn $1420 annually. Let   the amount invested in Treasury Notes and   the amount invested in corporate bonds.  -Graph the constraints.</strong> A)   B)   C)   D)   E) none of these the amount invested in corporate bonds.

-Graph the constraints.

A) <strong>An investor can invest at most $20,000 in a retirement plan. He wants to place at least $5000 in Treasury Notes yielding 5% and more than $14,000 in corporate bonds yielding 8%. He also wants to earn $1420 annually. Let   the amount invested in Treasury Notes and   the amount invested in corporate bonds.  -Graph the constraints.</strong> A)   B)   C)   D)   E) none of these
B) <strong>An investor can invest at most $20,000 in a retirement plan. He wants to place at least $5000 in Treasury Notes yielding 5% and more than $14,000 in corporate bonds yielding 8%. He also wants to earn $1420 annually. Let   the amount invested in Treasury Notes and   the amount invested in corporate bonds.  -Graph the constraints.</strong> A)   B)   C)   D)   E) none of these
C) <strong>An investor can invest at most $20,000 in a retirement plan. He wants to place at least $5000 in Treasury Notes yielding 5% and more than $14,000 in corporate bonds yielding 8%. He also wants to earn $1420 annually. Let   the amount invested in Treasury Notes and   the amount invested in corporate bonds.  -Graph the constraints.</strong> A)   B)   C)   D)   E) none of these
D) <strong>An investor can invest at most $20,000 in a retirement plan. He wants to place at least $5000 in Treasury Notes yielding 5% and more than $14,000 in corporate bonds yielding 8%. He also wants to earn $1420 annually. Let   the amount invested in Treasury Notes and   the amount invested in corporate bonds.  -Graph the constraints.</strong> A)   B)   C)   D)   E) none of these
E) none of these
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15
An investor can invest at most $20,000 in a retirement plan. He wants to place at least $5000 in Treasury Notes yielding 5% and more than $14,000 in corporate bonds yielding 8%. He also wants to earn $1420 annually. Let
<strong>An investor can invest at most $20,000 in a retirement plan. He wants to place at least $5000 in Treasury Notes yielding 5% and more than $14,000 in corporate bonds yielding 8%. He also wants to earn $1420 annually. Let   the amount invested in Treasury Notes and   the amount invested in corporate bonds.  -Estimate the vertices of the feasible region.</strong> A)   B)   C)   D)   E) none of these the amount invested in Treasury Notes and <strong>An investor can invest at most $20,000 in a retirement plan. He wants to place at least $5000 in Treasury Notes yielding 5% and more than $14,000 in corporate bonds yielding 8%. He also wants to earn $1420 annually. Let   the amount invested in Treasury Notes and   the amount invested in corporate bonds.  -Estimate the vertices of the feasible region.</strong> A)   B)   C)   D)   E) none of these the amount invested in corporate bonds.

-Estimate the vertices of the feasible region.

A) <strong>An investor can invest at most $20,000 in a retirement plan. He wants to place at least $5000 in Treasury Notes yielding 5% and more than $14,000 in corporate bonds yielding 8%. He also wants to earn $1420 annually. Let   the amount invested in Treasury Notes and   the amount invested in corporate bonds.  -Estimate the vertices of the feasible region.</strong> A)   B)   C)   D)   E) none of these
B) <strong>An investor can invest at most $20,000 in a retirement plan. He wants to place at least $5000 in Treasury Notes yielding 5% and more than $14,000 in corporate bonds yielding 8%. He also wants to earn $1420 annually. Let   the amount invested in Treasury Notes and   the amount invested in corporate bonds.  -Estimate the vertices of the feasible region.</strong> A)   B)   C)   D)   E) none of these
C) <strong>An investor can invest at most $20,000 in a retirement plan. He wants to place at least $5000 in Treasury Notes yielding 5% and more than $14,000 in corporate bonds yielding 8%. He also wants to earn $1420 annually. Let   the amount invested in Treasury Notes and   the amount invested in corporate bonds.  -Estimate the vertices of the feasible region.</strong> A)   B)   C)   D)   E) none of these
D) <strong>An investor can invest at most $20,000 in a retirement plan. He wants to place at least $5000 in Treasury Notes yielding 5% and more than $14,000 in corporate bonds yielding 8%. He also wants to earn $1420 annually. Let   the amount invested in Treasury Notes and   the amount invested in corporate bonds.  -Estimate the vertices of the feasible region.</strong> A)   B)   C)   D)   E) none of these
E) none of these
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16
Represent the system of equations with an augmented matrix: <strong>Represent the system of equations with an augmented matrix:  </strong> A)   B)   C)   D)   E) none of these

A) <strong>Represent the system of equations with an augmented matrix:  </strong> A)   B)   C)   D)   E) none of these
B) <strong>Represent the system of equations with an augmented matrix:  </strong> A)   B)   C)   D)   E) none of these
C) <strong>Represent the system of equations with an augmented matrix:  </strong> A)   B)   C)   D)   E) none of these
D) <strong>Represent the system of equations with an augmented matrix:  </strong> A)   B)   C)   D)   E) none of these
E) none of these
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17
Represent the system of equations with an augmented matrix: <strong>Represent the system of equations with an augmented matrix:  </strong> A)   B)   C)   D)   E) none of these

A) <strong>Represent the system of equations with an augmented matrix:  </strong> A)   B)   C)   D)   E) none of these
B) <strong>Represent the system of equations with an augmented matrix:  </strong> A)   B)   C)   D)   E) none of these
C) <strong>Represent the system of equations with an augmented matrix:  </strong> A)   B)   C)   D)   E) none of these
D) <strong>Represent the system of equations with an augmented matrix:  </strong> A)   B)   C)   D)   E) none of these
E) none of these
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18
Use row operations to change the first entry in the first row to 1. Rewrite the matrix. <strong>Use row operations to change the first entry in the first row to 1. Rewrite the matrix.  </strong> A)   B)   C)   D)   E) none of these

A) <strong>Use row operations to change the first entry in the first row to 1. Rewrite the matrix.  </strong> A)   B)   C)   D)   E) none of these
B) <strong>Use row operations to change the first entry in the first row to 1. Rewrite the matrix.  </strong> A)   B)   C)   D)   E) none of these
C) <strong>Use row operations to change the first entry in the first row to 1. Rewrite the matrix.  </strong> A)   B)   C)   D)   E) none of these
D) <strong>Use row operations to change the first entry in the first row to 1. Rewrite the matrix.  </strong> A)   B)   C)   D)   E) none of these
E) none of these
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19
The matrix <strong>The matrix   represents a system of equations in reduced row echelon form. Identify the solution of the system of equations.</strong> A)(1, 0) B)(-9, 4) C) (4, -9) D) infinitely many solutions E) no solution represents a system of equations in reduced row echelon form. Identify the solution of the system of equations.

A)(1, 0)
B)(-9, 4)
C) (4, -9)
D) infinitely many solutions
E) no solution
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20
The matrix <strong>The matrix   represents a system of equations in reduced row echelon form. Identify the solution of the system of equations.</strong> A) (2, 0, -1) B) (1, 0, 0) C) (-1, 0, 2) D) infinitely many solutions E) no solution represents a system of equations in reduced row echelon form. Identify the solution of the system of equations.

A) (2, 0, -1)
B) (1, 0, 0)
C) (-1, 0, 2)
D) infinitely many solutions
E) no solution
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21
The matrix <strong>The matrix   represent a system of equations in reduced row echelon form. Identify the solution of the system of equations.</strong> A) (0, 0, 0) B) (5, 3, 6) C) (5, 3, 0) D) infinitely many solutions E) no solution represent a system of equations in reduced row echelon form. Identify the solution of the system of equations.

A) (0, 0, 0)
B) (5, 3, 6)
C) (5, 3, 0)
D) infinitely many solutions
E) no solution
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22
Use row operations to change the first entry in the second row to 0. Rewrite the matrix. <strong>Use row operations to change the first entry in the second row to 0. Rewrite the matrix.  </strong> A)   B)   C)   D)   E) none of these

A) <strong>Use row operations to change the first entry in the second row to 0. Rewrite the matrix.  </strong> A)   B)   C)   D)   E) none of these
B) <strong>Use row operations to change the first entry in the second row to 0. Rewrite the matrix.  </strong> A)   B)   C)   D)   E) none of these
C) <strong>Use row operations to change the first entry in the second row to 0. Rewrite the matrix.  </strong> A)   B)   C)   D)   E) none of these
D) <strong>Use row operations to change the first entry in the second row to 0. Rewrite the matrix.  </strong> A)   B)   C)   D)   E) none of these
E) none of these
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23
Use row operations to change the first entry in the second row to 0. Rewrite the matrix <strong>Use row operations to change the first entry in the second row to 0. Rewrite the matrix  </strong> A)   B)   C)   D)   E) none of these

A) <strong>Use row operations to change the first entry in the second row to 0. Rewrite the matrix  </strong> A)   B)   C)   D)   E) none of these
B) <strong>Use row operations to change the first entry in the second row to 0. Rewrite the matrix  </strong> A)   B)   C)   D)   E) none of these
C) <strong>Use row operations to change the first entry in the second row to 0. Rewrite the matrix  </strong> A)   B)   C)   D)   E) none of these
D) <strong>Use row operations to change the first entry in the second row to 0. Rewrite the matrix  </strong> A)   B)   C)   D)   E) none of these
E) none of these
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24
Represent the system of equations with an augmented matrix. Solve the system by rewriting the matrix in reduced row echelon form.

-<strong>Represent the system of equations with an augmented matrix. Solve the system by rewriting the matrix in reduced row echelon form.  - </strong> A)(5, 8) B) (-5, 8) C) ( 5, -60 D) infinitely many solutions E) no solution

A)(5, 8)
B) (-5, 8)
C) ( 5, -60
D) infinitely many solutions
E) no solution
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25
Represent the system of equations with an augmented matrix. Solve the system by rewriting the matrix in reduced row echelon form.

-<strong>Represent the system of equations with an augmented matrix. Solve the system by rewriting the matrix in reduced row echelon form.  - </strong> A) (4, -1) B) (-5, 1) C) ( -4, 1) D) infinitely many solutions E) no solution

A) (4, -1)
B) (-5, 1)
C) ( -4, 1)
D) infinitely many solutions
E) no solution
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26
Represent the system of equations with an augmented matrix. Solve the system by rewriting the matrix in reduced row echelon form.

-<strong>Represent the system of equations with an augmented matrix. Solve the system by rewriting the matrix in reduced row echelon form.  - </strong> A) (0, 20) B) (0, 0) C) (2, 0) D) infinitely many solutions E) no solution

A) (0, 20)
B) (0, 0)
C) (2, 0)
D) infinitely many solutions
E) no solution
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27
Represent the system of equations with an augmented matrix. Solve the system by rewriting the matrix in reduced row echelon form.

-<strong>Represent the system of equations with an augmented matrix. Solve the system by rewriting the matrix in reduced row echelon form.  - </strong> A) (3, -4, 1) B) (-3, 4, 10 C)   D) infinitely many solutions E) no solution

A) (3, -4, 1)
B) (-3, 4, 10
C) <strong>Represent the system of equations with an augmented matrix. Solve the system by rewriting the matrix in reduced row echelon form.  - </strong> A) (3, -4, 1) B) (-3, 4, 10 C)   D) infinitely many solutions E) no solution
D) infinitely many solutions
E) no solution
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28
Represent the system of equations with an augmented matrix. Solve the system by rewriting the matrix in reduced row echelon form.

-<strong>Represent the system of equations with an augmented matrix. Solve the system by rewriting the matrix in reduced row echelon form.  - </strong> A)   B) ( 11, -22, 6) C)   D) infinitely many solutions E) no solution

A) <strong>Represent the system of equations with an augmented matrix. Solve the system by rewriting the matrix in reduced row echelon form.  - </strong> A)   B) ( 11, -22, 6) C)   D) infinitely many solutions E) no solution
B) ( 11, -22, 6)
C) <strong>Represent the system of equations with an augmented matrix. Solve the system by rewriting the matrix in reduced row echelon form.  - </strong> A)   B) ( 11, -22, 6) C)   D) infinitely many solutions E) no solution
D) infinitely many solutions
E) no solution
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29
Represent the system of equations with an augmented matrix. Solve the system by rewriting the matrix in reduced row echelon form.

-<strong>Represent the system of equations with an augmented matrix. Solve the system by rewriting the matrix in reduced row echelon form.  - </strong> A)(-3, -3, -3) B) (-4, 0, 3) C) ( -2, -8, 6) D) infinitely many solutions E) no solution

A)(-3, -3, -3)
B) (-4, 0, 3)
C) ( -2, -8, 6)
D) infinitely many solutions
E) no solution
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30
Students are having a bake sale to raise funds for the school band. They collect $19.00 for selling 2 pies, 1 cake, and 3 cinnamon rolls. They collect $11.50 for selling 1 cake and 4 cinnamon rolls. They collect $17.50 for selling 1 pie, 1 cake and 5 cinnamon rolls. Find the price for each item.

A) $4.00 per pie$3.50 per cake$2.00 per cinnamon roll
B) $4.50 per pie$5.50 per cake$1.50 per cinnamon roll
C) $5.50 per pie$4.50 per cake$1.50 per cinnamon roll
D) $4.25 per pie$7.50 per cake$1.00 per cinnamon roll
E) none of these
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31
Use an algebraic method to determine which of the ordered triples is a solution to the system. <strong>Use an algebraic method to determine which of the ordered triples is a solution to the system.  </strong> A)   B)   C)   D)   E) none of these

A) <strong>Use an algebraic method to determine which of the ordered triples is a solution to the system.  </strong> A)   B)   C)   D)   E) none of these
B) <strong>Use an algebraic method to determine which of the ordered triples is a solution to the system.  </strong> A)   B)   C)   D)   E) none of these
C) <strong>Use an algebraic method to determine which of the ordered triples is a solution to the system.  </strong> A)   B)   C)   D)   E) none of these
D) <strong>Use an algebraic method to determine which of the ordered triples is a solution to the system.  </strong> A)   B)   C)   D)   E) none of these
E) none of these
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32
Use an algebraic method to determine which of the ordered triples is a solution to the system. <strong>Use an algebraic method to determine which of the ordered triples is a solution to the system.  </strong> A)   B)   C)   D)   E) none of these

A) <strong>Use an algebraic method to determine which of the ordered triples is a solution to the system.  </strong> A)   B)   C)   D)   E) none of these
B) <strong>Use an algebraic method to determine which of the ordered triples is a solution to the system.  </strong> A)   B)   C)   D)   E) none of these
C) <strong>Use an algebraic method to determine which of the ordered triples is a solution to the system.  </strong> A)   B)   C)   D)   E) none of these
D) <strong>Use an algebraic method to determine which of the ordered triples is a solution to the system.  </strong> A)   B)   C)   D)   E) none of these
E) none of these
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33
Use constant multiples of only the top equation to eliminate the variable x from the system of equations. Which system of two equations results? <strong>Use constant multiples of only the top equation to eliminate the variable x from the system of equations. Which system of two equations results?  </strong> A)   B)   C)   D)   E) none of these

A) <strong>Use constant multiples of only the top equation to eliminate the variable x from the system of equations. Which system of two equations results?  </strong> A)   B)   C)   D)   E) none of these
B) <strong>Use constant multiples of only the top equation to eliminate the variable x from the system of equations. Which system of two equations results?  </strong> A)   B)   C)   D)   E) none of these
C) <strong>Use constant multiples of only the top equation to eliminate the variable x from the system of equations. Which system of two equations results?  </strong> A)   B)   C)   D)   E) none of these
D) <strong>Use constant multiples of only the top equation to eliminate the variable x from the system of equations. Which system of two equations results?  </strong> A)   B)   C)   D)   E) none of these
E) none of these
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34
Use constant multiples of only the top equation to eliminate the variable y from the system of equations. Which system of two equations results? <strong>Use constant multiples of only the top equation to eliminate the variable y from the system of equations. Which system of two equations results?  </strong> A)   B)   C)   D)   E) none of these

A) <strong>Use constant multiples of only the top equation to eliminate the variable y from the system of equations. Which system of two equations results?  </strong> A)   B)   C)   D)   E) none of these
B) <strong>Use constant multiples of only the top equation to eliminate the variable y from the system of equations. Which system of two equations results?  </strong> A)   B)   C)   D)   E) none of these
C) <strong>Use constant multiples of only the top equation to eliminate the variable y from the system of equations. Which system of two equations results?  </strong> A)   B)   C)   D)   E) none of these
D) <strong>Use constant multiples of only the top equation to eliminate the variable y from the system of equations. Which system of two equations results?  </strong> A)   B)   C)   D)   E) none of these
E) none of these
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35
Use constant multiples of only the top equation to eliminate the variable z from the system of equations. Which system of two equations results? <strong>Use constant multiples of only the top equation to eliminate the variable z from the system of equations. Which system of two equations results?  </strong> A)   B)   C)   D)   E) none of these

A) <strong>Use constant multiples of only the top equation to eliminate the variable z from the system of equations. Which system of two equations results?  </strong> A)   B)   C)   D)   E) none of these
B) <strong>Use constant multiples of only the top equation to eliminate the variable z from the system of equations. Which system of two equations results?  </strong> A)   B)   C)   D)   E) none of these
C) <strong>Use constant multiples of only the top equation to eliminate the variable z from the system of equations. Which system of two equations results?  </strong> A)   B)   C)   D)   E) none of these
D) <strong>Use constant multiples of only the top equation to eliminate the variable z from the system of equations. Which system of two equations results?  </strong> A)   B)   C)   D)   E) none of these
E) none of these
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36
Solve the system of equations using elimination, if possible, and express the solution as an ordered triple.

-<strong>Solve the system of equations using elimination, if possible, and express the solution as an ordered triple.  - </strong> A)   B)   C)   D) infinitely many solutions E) no solution

A) <strong>Solve the system of equations using elimination, if possible, and express the solution as an ordered triple.  - </strong> A)   B)   C)   D) infinitely many solutions E) no solution
B) <strong>Solve the system of equations using elimination, if possible, and express the solution as an ordered triple.  - </strong> A)   B)   C)   D) infinitely many solutions E) no solution
C) <strong>Solve the system of equations using elimination, if possible, and express the solution as an ordered triple.  - </strong> A)   B)   C)   D) infinitely many solutions E) no solution
D) infinitely many solutions
E) no solution
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37
Solve the system of equations using elimination, if possible, and express the solution as an ordered triple.

-<strong>Solve the system of equations using elimination, if possible, and express the solution as an ordered triple.  - </strong> A)   B)   C)   D) infinitely many solutions E) no solution

A) <strong>Solve the system of equations using elimination, if possible, and express the solution as an ordered triple.  - </strong> A)   B)   C)   D) infinitely many solutions E) no solution
B) <strong>Solve the system of equations using elimination, if possible, and express the solution as an ordered triple.  - </strong> A)   B)   C)   D) infinitely many solutions E) no solution
C) <strong>Solve the system of equations using elimination, if possible, and express the solution as an ordered triple.  - </strong> A)   B)   C)   D) infinitely many solutions E) no solution
D) infinitely many solutions
E) no solution
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38
Solve the system of equations using elimination, if possible, and express the solution as an ordered triple.

-<strong>Solve the system of equations using elimination, if possible, and express the solution as an ordered triple.  - </strong> A)   B)   C)   D) infinitely many solutions E) no solution

A) <strong>Solve the system of equations using elimination, if possible, and express the solution as an ordered triple.  - </strong> A)   B)   C)   D) infinitely many solutions E) no solution
B) <strong>Solve the system of equations using elimination, if possible, and express the solution as an ordered triple.  - </strong> A)   B)   C)   D) infinitely many solutions E) no solution
C) <strong>Solve the system of equations using elimination, if possible, and express the solution as an ordered triple.  - </strong> A)   B)   C)   D) infinitely many solutions E) no solution
D) infinitely many solutions
E) no solution
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39
Solve the system of equations using elimination, if possible, and express the solution as an ordered triple.

-<strong>Solve the system of equations using elimination, if possible, and express the solution as an ordered triple.  - </strong> A)   B)   C)   D) infinitely many solutions E) no solution

A) <strong>Solve the system of equations using elimination, if possible, and express the solution as an ordered triple.  - </strong> A)   B)   C)   D) infinitely many solutions E) no solution
B) <strong>Solve the system of equations using elimination, if possible, and express the solution as an ordered triple.  - </strong> A)   B)   C)   D) infinitely many solutions E) no solution
C) <strong>Solve the system of equations using elimination, if possible, and express the solution as an ordered triple.  - </strong> A)   B)   C)   D) infinitely many solutions E) no solution
D) infinitely many solutions
E) no solution
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40
Solve the system of equations using elimination, if possible, and express the solution as an ordered triple.

-<strong>Solve the system of equations using elimination, if possible, and express the solution as an ordered triple.  - </strong> A)   B)   C)   D) infinitely many solutions E) no solution

A) <strong>Solve the system of equations using elimination, if possible, and express the solution as an ordered triple.  - </strong> A)   B)   C)   D) infinitely many solutions E) no solution
B) <strong>Solve the system of equations using elimination, if possible, and express the solution as an ordered triple.  - </strong> A)   B)   C)   D) infinitely many solutions E) no solution
C) <strong>Solve the system of equations using elimination, if possible, and express the solution as an ordered triple.  - </strong> A)   B)   C)   D) infinitely many solutions E) no solution
D) infinitely many solutions
E) no solution
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41
Solve the system of equations using elimination, if possible, and express the solution as an ordered triple.

-<strong>Solve the system of equations using elimination, if possible, and express the solution as an ordered triple.  - </strong> A)   B)   C)   D) infinitely many solutions E) no solution

A) <strong>Solve the system of equations using elimination, if possible, and express the solution as an ordered triple.  - </strong> A)   B)   C)   D) infinitely many solutions E) no solution
B) <strong>Solve the system of equations using elimination, if possible, and express the solution as an ordered triple.  - </strong> A)   B)   C)   D) infinitely many solutions E) no solution
C) <strong>Solve the system of equations using elimination, if possible, and express the solution as an ordered triple.  - </strong> A)   B)   C)   D) infinitely many solutions E) no solution
D) infinitely many solutions
E) no solution
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42
Solve the system of equations using elimination, if possible, and express the solution as an ordered triple.

-<strong>Solve the system of equations using elimination, if possible, and express the solution as an ordered triple.  - </strong> A)   B)   C)   D) infinitely many solutions E) no solution

A) <strong>Solve the system of equations using elimination, if possible, and express the solution as an ordered triple.  - </strong> A)   B)   C)   D) infinitely many solutions E) no solution
B) <strong>Solve the system of equations using elimination, if possible, and express the solution as an ordered triple.  - </strong> A)   B)   C)   D) infinitely many solutions E) no solution
C) <strong>Solve the system of equations using elimination, if possible, and express the solution as an ordered triple.  - </strong> A)   B)   C)   D) infinitely many solutions E) no solution
D) infinitely many solutions
E) no solution
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43
Nancy just inherited $83,000. She decides to diversify her investment by putting the money into three different accounts: tax-free bonds which pay 5% annual interest, a certificate of deposit which pays 7% annual interest, and a mutual stock fund which has an average annual rate of return of 12%. The amount she invests in the certificate of deposit is double the amount she invests in bonds. Her goal for total return per year from these three investments is $7720. How much should Nancy put into each account?

A) <strong>Nancy just inherited $83,000. She decides to diversify her investment by putting the money into three different accounts: tax-free bonds which pay 5% annual interest, a certificate of deposit which pays 7% annual interest, and a mutual stock fund which has an average annual rate of return of 12%. The amount she invests in the certificate of deposit is double the amount she invests in bonds. Her goal for total return per year from these three investments is $7720. How much should Nancy put into each account?</strong> A)   B)   C)   D)   E) none of these
B) <strong>Nancy just inherited $83,000. She decides to diversify her investment by putting the money into three different accounts: tax-free bonds which pay 5% annual interest, a certificate of deposit which pays 7% annual interest, and a mutual stock fund which has an average annual rate of return of 12%. The amount she invests in the certificate of deposit is double the amount she invests in bonds. Her goal for total return per year from these three investments is $7720. How much should Nancy put into each account?</strong> A)   B)   C)   D)   E) none of these
C) <strong>Nancy just inherited $83,000. She decides to diversify her investment by putting the money into three different accounts: tax-free bonds which pay 5% annual interest, a certificate of deposit which pays 7% annual interest, and a mutual stock fund which has an average annual rate of return of 12%. The amount she invests in the certificate of deposit is double the amount she invests in bonds. Her goal for total return per year from these three investments is $7720. How much should Nancy put into each account?</strong> A)   B)   C)   D)   E) none of these
D) <strong>Nancy just inherited $83,000. She decides to diversify her investment by putting the money into three different accounts: tax-free bonds which pay 5% annual interest, a certificate of deposit which pays 7% annual interest, and a mutual stock fund which has an average annual rate of return of 12%. The amount she invests in the certificate of deposit is double the amount she invests in bonds. Her goal for total return per year from these three investments is $7720. How much should Nancy put into each account?</strong> A)   B)   C)   D)   E) none of these
E) none of these
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44
In the Storms baseball stadium, there are three levels of seats available. Box seats are sold for $10 each, reserved seats are sold for $7 each, and bleacher seats are sold for $4 each. The stadium capacity is 4500. Total revenue is $27,900 when all seats are sold. If half the box seats, half the reserved seats, and all of the bleacher seats are sold, the revenue is $18,150. Find how many of each type of seat are there.

A) <strong>In the Storms baseball stadium, there are three levels of seats available. Box seats are sold for $10 each, reserved seats are sold for $7 each, and bleacher seats are sold for $4 each. The stadium capacity is 4500. Total revenue is $27,900 when all seats are sold. If half the box seats, half the reserved seats, and all of the bleacher seats are sold, the revenue is $18,150. Find how many of each type of seat are there.</strong> A)   B)   C)   D)   E) none of these
B) <strong>In the Storms baseball stadium, there are three levels of seats available. Box seats are sold for $10 each, reserved seats are sold for $7 each, and bleacher seats are sold for $4 each. The stadium capacity is 4500. Total revenue is $27,900 when all seats are sold. If half the box seats, half the reserved seats, and all of the bleacher seats are sold, the revenue is $18,150. Find how many of each type of seat are there.</strong> A)   B)   C)   D)   E) none of these
C) <strong>In the Storms baseball stadium, there are three levels of seats available. Box seats are sold for $10 each, reserved seats are sold for $7 each, and bleacher seats are sold for $4 each. The stadium capacity is 4500. Total revenue is $27,900 when all seats are sold. If half the box seats, half the reserved seats, and all of the bleacher seats are sold, the revenue is $18,150. Find how many of each type of seat are there.</strong> A)   B)   C)   D)   E) none of these
D) <strong>In the Storms baseball stadium, there are three levels of seats available. Box seats are sold for $10 each, reserved seats are sold for $7 each, and bleacher seats are sold for $4 each. The stadium capacity is 4500. Total revenue is $27,900 when all seats are sold. If half the box seats, half the reserved seats, and all of the bleacher seats are sold, the revenue is $18,150. Find how many of each type of seat are there.</strong> A)   B)   C)   D)   E) none of these
E) none of these
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45
Morgan is keeping track of her calcium intake from three sources for three days. The first day she had a glass of milk, a serving of cottage cheesem and 1 calcium supplement pill totaling 1090 mg of calcium. The second day she had 2 glasses of milk, 1 serving of cottage cheese, and 1 calcium supplement totaling 1450 mg of calcium. The third day she had 1 glass of milk, 2 servings of cottage cheese, and 1 calcium supplement totaling 1310 mg of calcium. Find the amount of calcium in each of the three sources.

A) <strong>Morgan is keeping track of her calcium intake from three sources for three days. The first day she had a glass of milk, a serving of cottage cheesem and 1 calcium supplement pill totaling 1090 mg of calcium. The second day she had 2 glasses of milk, 1 serving of cottage cheese, and 1 calcium supplement totaling 1450 mg of calcium. The third day she had 1 glass of milk, 2 servings of cottage cheese, and 1 calcium supplement totaling 1310 mg of calcium. Find the amount of calcium in each of the three sources.</strong> A)   B)   C)   D)   E) none of these
B) <strong>Morgan is keeping track of her calcium intake from three sources for three days. The first day she had a glass of milk, a serving of cottage cheesem and 1 calcium supplement pill totaling 1090 mg of calcium. The second day she had 2 glasses of milk, 1 serving of cottage cheese, and 1 calcium supplement totaling 1450 mg of calcium. The third day she had 1 glass of milk, 2 servings of cottage cheese, and 1 calcium supplement totaling 1310 mg of calcium. Find the amount of calcium in each of the three sources.</strong> A)   B)   C)   D)   E) none of these
C) <strong>Morgan is keeping track of her calcium intake from three sources for three days. The first day she had a glass of milk, a serving of cottage cheesem and 1 calcium supplement pill totaling 1090 mg of calcium. The second day she had 2 glasses of milk, 1 serving of cottage cheese, and 1 calcium supplement totaling 1450 mg of calcium. The third day she had 1 glass of milk, 2 servings of cottage cheese, and 1 calcium supplement totaling 1310 mg of calcium. Find the amount of calcium in each of the three sources.</strong> A)   B)   C)   D)   E) none of these
D) <strong>Morgan is keeping track of her calcium intake from three sources for three days. The first day she had a glass of milk, a serving of cottage cheesem and 1 calcium supplement pill totaling 1090 mg of calcium. The second day she had 2 glasses of milk, 1 serving of cottage cheese, and 1 calcium supplement totaling 1450 mg of calcium. The third day she had 1 glass of milk, 2 servings of cottage cheese, and 1 calcium supplement totaling 1310 mg of calcium. Find the amount of calcium in each of the three sources.</strong> A)   B)   C)   D)   E) none of these
E) none of these
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46
A company that manufactures gas grills sells their lowest-end grill for . It costs to manufacture each grill and the company has an overhead cost of per month.

-Find the number of grills that must be sold each month to break even.

A) <strong>A company that manufactures gas grills sells their lowest-end grill for . It costs to manufacture each grill and the company has an overhead cost of per month.  -Find the number of grills that must be sold each month to break even.</strong> A)   B)   C)   D)   E) none of these
B) <strong>A company that manufactures gas grills sells their lowest-end grill for . It costs to manufacture each grill and the company has an overhead cost of per month.  -Find the number of grills that must be sold each month to break even.</strong> A)   B)   C)   D)   E) none of these
C) <strong>A company that manufactures gas grills sells their lowest-end grill for . It costs to manufacture each grill and the company has an overhead cost of per month.  -Find the number of grills that must be sold each month to break even.</strong> A)   B)   C)   D)   E) none of these
D) <strong>A company that manufactures gas grills sells their lowest-end grill for . It costs to manufacture each grill and the company has an overhead cost of per month.  -Find the number of grills that must be sold each month to break even.</strong> A)   B)   C)   D)   E) none of these
E) none of these
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47
A company that manufactures gas grills sells their lowest-end grill for . It costs to manufacture each grill and the company has an overhead cost of per month.

-Find the grill-manufacturer's revenue at the break-even point.

A) <strong>A company that manufactures gas grills sells their lowest-end grill for . It costs to manufacture each grill and the company has an overhead cost of per month.  -Find the grill-manufacturer's revenue at the break-even point.</strong> A)   B)   C)   D)   E) none of these
B) <strong>A company that manufactures gas grills sells their lowest-end grill for . It costs to manufacture each grill and the company has an overhead cost of per month.  -Find the grill-manufacturer's revenue at the break-even point.</strong> A)   B)   C)   D)   E) none of these
C) <strong>A company that manufactures gas grills sells their lowest-end grill for . It costs to manufacture each grill and the company has an overhead cost of per month.  -Find the grill-manufacturer's revenue at the break-even point.</strong> A)   B)   C)   D)   E) none of these
D) <strong>A company that manufactures gas grills sells their lowest-end grill for . It costs to manufacture each grill and the company has an overhead cost of per month.  -Find the grill-manufacturer's revenue at the break-even point.</strong> A)   B)   C)   D)   E) none of these
E) none of these
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48
Chloe decides to open a lemonade stand to earn money for the summer. She is able to build a lemonade stand for $49. To make each cup of lemonade, including the cost of the cup, costs $0.12. She decides to sell each cup for $0.40. How many cups of lemonade must Chloe sell to break even?

A) 123
B) 62
C) 175
D) 70
E) none of these
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49
Find Chloe's revenue at the break-even point.

A) $175
B) $70
C) $24.80
D) $49.20
E) none of these
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50
Suppose that you receive an inheritance of $48,000. You decide to invest some of the money in stocks and some in certificates of deposit (CDs). Because the CDs are a less risky investment you want to put 3 times as much into CDs as stocks. How much are you going to invest in each type of account?

A) <strong>Suppose that you receive an inheritance of $48,000. You decide to invest some of the money in stocks and some in certificates of deposit (CDs). Because the CDs are a less risky investment you want to put 3 times as much into CDs as stocks. How much are you going to invest in each type of account?</strong> A)   B)   C)   D)   E) none of these
B) <strong>Suppose that you receive an inheritance of $48,000. You decide to invest some of the money in stocks and some in certificates of deposit (CDs). Because the CDs are a less risky investment you want to put 3 times as much into CDs as stocks. How much are you going to invest in each type of account?</strong> A)   B)   C)   D)   E) none of these
C) <strong>Suppose that you receive an inheritance of $48,000. You decide to invest some of the money in stocks and some in certificates of deposit (CDs). Because the CDs are a less risky investment you want to put 3 times as much into CDs as stocks. How much are you going to invest in each type of account?</strong> A)   B)   C)   D)   E) none of these
D) <strong>Suppose that you receive an inheritance of $48,000. You decide to invest some of the money in stocks and some in certificates of deposit (CDs). Because the CDs are a less risky investment you want to put 3 times as much into CDs as stocks. How much are you going to invest in each type of account?</strong> A)   B)   C)   D)   E) none of these
E) none of these
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51
The cost of 5 deli sandwiches and 7 small salads is <strong>The cost of 5 deli sandwiches and 7 small salads is   . The cost of 6 deli sandwiches and 4 small salads is   . Find the cost of the deli sandwich and the small salad.</strong> A)   B)   C)   D)   E) none of these . The cost of 6 deli sandwiches and 4 small salads is
<strong>The cost of 5 deli sandwiches and 7 small salads is   . The cost of 6 deli sandwiches and 4 small salads is   . Find the cost of the deli sandwich and the small salad.</strong> A)   B)   C)   D)   E) none of these . Find the cost of the deli sandwich and the small salad.

A) <strong>The cost of 5 deli sandwiches and 7 small salads is   . The cost of 6 deli sandwiches and 4 small salads is   . Find the cost of the deli sandwich and the small salad.</strong> A)   B)   C)   D)   E) none of these
B) <strong>The cost of 5 deli sandwiches and 7 small salads is   . The cost of 6 deli sandwiches and 4 small salads is   . Find the cost of the deli sandwich and the small salad.</strong> A)   B)   C)   D)   E) none of these
C) <strong>The cost of 5 deli sandwiches and 7 small salads is   . The cost of 6 deli sandwiches and 4 small salads is   . Find the cost of the deli sandwich and the small salad.</strong> A)   B)   C)   D)   E) none of these
D) <strong>The cost of 5 deli sandwiches and 7 small salads is   . The cost of 6 deli sandwiches and 4 small salads is   . Find the cost of the deli sandwich and the small salad.</strong> A)   B)   C)   D)   E) none of these
E) none of these
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52
A metallurgist has an alloy with 12% titanium and an alloy with 44% titanium. He needs 100 grams of an alloy with 20% titanium. How much of each alloy should be mixed to obtain the 100 grams of alloy with 20% titanium?

A) <strong>A metallurgist has an alloy with 12% titanium and an alloy with 44% titanium. He needs 100 grams of an alloy with 20% titanium. How much of each alloy should be mixed to obtain the 100 grams of alloy with 20% titanium?</strong> A)   B)   C)   D)   E) none of these
B) <strong>A metallurgist has an alloy with 12% titanium and an alloy with 44% titanium. He needs 100 grams of an alloy with 20% titanium. How much of each alloy should be mixed to obtain the 100 grams of alloy with 20% titanium?</strong> A)   B)   C)   D)   E) none of these
C) <strong>A metallurgist has an alloy with 12% titanium and an alloy with 44% titanium. He needs 100 grams of an alloy with 20% titanium. How much of each alloy should be mixed to obtain the 100 grams of alloy with 20% titanium?</strong> A)   B)   C)   D)   E) none of these
D) <strong>A metallurgist has an alloy with 12% titanium and an alloy with 44% titanium. He needs 100 grams of an alloy with 20% titanium. How much of each alloy should be mixed to obtain the 100 grams of alloy with 20% titanium?</strong> A)   B)   C)   D)   E) none of these
E) none of these
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53
The owner of a coffee shop is making a special blend of coffee that combines Ethiopian beans that sell for <strong>The owner of a coffee shop is making a special blend of coffee that combines Ethiopian beans that sell for  Per pound and Guatemalan beans that sell for  Per pound. She wants to have a total of  Pounds of the special blend, and she is selling it for  Per pound. How many pounds of each type of bean should she combine?</strong> A)   B)   C)   D)   E) none of these Per pound and Guatemalan beans that sell for <strong>The owner of a coffee shop is making a special blend of coffee that combines Ethiopian beans that sell for  Per pound and Guatemalan beans that sell for  Per pound. She wants to have a total of  Pounds of the special blend, and she is selling it for  Per pound. How many pounds of each type of bean should she combine?</strong> A)   B)   C)   D)   E) none of these Per pound. She wants to have a total of <strong>The owner of a coffee shop is making a special blend of coffee that combines Ethiopian beans that sell for  Per pound and Guatemalan beans that sell for  Per pound. She wants to have a total of  Pounds of the special blend, and she is selling it for  Per pound. How many pounds of each type of bean should she combine?</strong> A)   B)   C)   D)   E) none of these Pounds of the special blend, and she is selling it for <strong>The owner of a coffee shop is making a special blend of coffee that combines Ethiopian beans that sell for  Per pound and Guatemalan beans that sell for  Per pound. She wants to have a total of  Pounds of the special blend, and she is selling it for  Per pound. How many pounds of each type of bean should she combine?</strong> A)   B)   C)   D)   E) none of these Per pound. How many pounds of each type of bean should she combine?

A) <strong>The owner of a coffee shop is making a special blend of coffee that combines Ethiopian beans that sell for  Per pound and Guatemalan beans that sell for  Per pound. She wants to have a total of  Pounds of the special blend, and she is selling it for  Per pound. How many pounds of each type of bean should she combine?</strong> A)   B)   C)   D)   E) none of these
B) <strong>The owner of a coffee shop is making a special blend of coffee that combines Ethiopian beans that sell for  Per pound and Guatemalan beans that sell for  Per pound. She wants to have a total of  Pounds of the special blend, and she is selling it for  Per pound. How many pounds of each type of bean should she combine?</strong> A)   B)   C)   D)   E) none of these
C) <strong>The owner of a coffee shop is making a special blend of coffee that combines Ethiopian beans that sell for  Per pound and Guatemalan beans that sell for  Per pound. She wants to have a total of  Pounds of the special blend, and she is selling it for  Per pound. How many pounds of each type of bean should she combine?</strong> A)   B)   C)   D)   E) none of these
D) <strong>The owner of a coffee shop is making a special blend of coffee that combines Ethiopian beans that sell for  Per pound and Guatemalan beans that sell for  Per pound. She wants to have a total of  Pounds of the special blend, and she is selling it for  Per pound. How many pounds of each type of bean should she combine?</strong> A)   B)   C)   D)   E) none of these
E) none of these
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54
Two blends will be used to make ice cream that contains 10% milkfat. Blend A contains 6% milkfat and blend B contains 13% milkfat. How much of each blend should be used to make 2000 gallons of ice cream that contains 10% milkfat?

A) <strong>Two blends will be used to make ice cream that contains 10% milkfat. Blend A contains 6% milkfat and blend B contains 13% milkfat. How much of each blend should be used to make 2000 gallons of ice cream that contains 10% milkfat?</strong> A)   B)   C)   D)   E) none of these
B) <strong>Two blends will be used to make ice cream that contains 10% milkfat. Blend A contains 6% milkfat and blend B contains 13% milkfat. How much of each blend should be used to make 2000 gallons of ice cream that contains 10% milkfat?</strong> A)   B)   C)   D)   E) none of these
C) <strong>Two blends will be used to make ice cream that contains 10% milkfat. Blend A contains 6% milkfat and blend B contains 13% milkfat. How much of each blend should be used to make 2000 gallons of ice cream that contains 10% milkfat?</strong> A)   B)   C)   D)   E) none of these
D) <strong>Two blends will be used to make ice cream that contains 10% milkfat. Blend A contains 6% milkfat and blend B contains 13% milkfat. How much of each blend should be used to make 2000 gallons of ice cream that contains 10% milkfat?</strong> A)   B)   C)   D)   E) none of these
E) none of these
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55
One cell phone plan charges $35.99 per month, including 400 minutes of out-of-network calls each month. Each additional minute outside the network costs $0.25. Another plan charges $59.99 per month, including 1000 minutes of out-of-network calls per month. This plan charges $0.40 for each additional minute out of the network. Find the number of total minutes outside the network a customer must use for the plans to cost the same in a month.

A) 1840
B) 1400
C) 1000
D) 400
E) none of these
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56
Sally and Harry go to a fast food restaurant for breakfast. Sally ordered <strong>Sally and Harry go to a fast food restaurant for breakfast. Sally ordered  Sausage biscuit sandwiches and  Orange juice. Her meal contained  Grams of carbohydrates. Harry ordered  Sausage biscuit sandwiches and  Orange juices and his meal contained  Grams of carbohydrates. How many carbohydrates are in the each sausage biscuit and in each orange juice?</strong> A)   B)   C)   D)   E) none of these Sausage biscuit sandwiches and <strong>Sally and Harry go to a fast food restaurant for breakfast. Sally ordered  Sausage biscuit sandwiches and  Orange juice. Her meal contained  Grams of carbohydrates. Harry ordered  Sausage biscuit sandwiches and  Orange juices and his meal contained  Grams of carbohydrates. How many carbohydrates are in the each sausage biscuit and in each orange juice?</strong> A)   B)   C)   D)   E) none of these Orange juice. Her meal contained <strong>Sally and Harry go to a fast food restaurant for breakfast. Sally ordered  Sausage biscuit sandwiches and  Orange juice. Her meal contained  Grams of carbohydrates. Harry ordered  Sausage biscuit sandwiches and  Orange juices and his meal contained  Grams of carbohydrates. How many carbohydrates are in the each sausage biscuit and in each orange juice?</strong> A)   B)   C)   D)   E) none of these Grams of carbohydrates. Harry ordered <strong>Sally and Harry go to a fast food restaurant for breakfast. Sally ordered  Sausage biscuit sandwiches and  Orange juice. Her meal contained  Grams of carbohydrates. Harry ordered  Sausage biscuit sandwiches and  Orange juices and his meal contained  Grams of carbohydrates. How many carbohydrates are in the each sausage biscuit and in each orange juice?</strong> A)   B)   C)   D)   E) none of these Sausage biscuit sandwiches and <strong>Sally and Harry go to a fast food restaurant for breakfast. Sally ordered  Sausage biscuit sandwiches and  Orange juice. Her meal contained  Grams of carbohydrates. Harry ordered  Sausage biscuit sandwiches and  Orange juices and his meal contained  Grams of carbohydrates. How many carbohydrates are in the each sausage biscuit and in each orange juice?</strong> A)   B)   C)   D)   E) none of these Orange juices and his meal contained <strong>Sally and Harry go to a fast food restaurant for breakfast. Sally ordered  Sausage biscuit sandwiches and  Orange juice. Her meal contained  Grams of carbohydrates. Harry ordered  Sausage biscuit sandwiches and  Orange juices and his meal contained  Grams of carbohydrates. How many carbohydrates are in the each sausage biscuit and in each orange juice?</strong> A)   B)   C)   D)   E) none of these Grams of carbohydrates. How many carbohydrates are in the each sausage biscuit and in each orange juice?

A) <strong>Sally and Harry go to a fast food restaurant for breakfast. Sally ordered  Sausage biscuit sandwiches and  Orange juice. Her meal contained  Grams of carbohydrates. Harry ordered  Sausage biscuit sandwiches and  Orange juices and his meal contained  Grams of carbohydrates. How many carbohydrates are in the each sausage biscuit and in each orange juice?</strong> A)   B)   C)   D)   E) none of these
B) <strong>Sally and Harry go to a fast food restaurant for breakfast. Sally ordered  Sausage biscuit sandwiches and  Orange juice. Her meal contained  Grams of carbohydrates. Harry ordered  Sausage biscuit sandwiches and  Orange juices and his meal contained  Grams of carbohydrates. How many carbohydrates are in the each sausage biscuit and in each orange juice?</strong> A)   B)   C)   D)   E) none of these
C) <strong>Sally and Harry go to a fast food restaurant for breakfast. Sally ordered  Sausage biscuit sandwiches and  Orange juice. Her meal contained  Grams of carbohydrates. Harry ordered  Sausage biscuit sandwiches and  Orange juices and his meal contained  Grams of carbohydrates. How many carbohydrates are in the each sausage biscuit and in each orange juice?</strong> A)   B)   C)   D)   E) none of these
D) <strong>Sally and Harry go to a fast food restaurant for breakfast. Sally ordered  Sausage biscuit sandwiches and  Orange juice. Her meal contained  Grams of carbohydrates. Harry ordered  Sausage biscuit sandwiches and  Orange juices and his meal contained  Grams of carbohydrates. How many carbohydrates are in the each sausage biscuit and in each orange juice?</strong> A)   B)   C)   D)   E) none of these
E) none of these
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57
Sean is shifting his debt on his credit cards. He wants 4 times as much on his Visa card as on his Mastercard. Find the amount of debt he should have on each card.

A) <strong>Sean is shifting his debt on his credit cards. He wants 4 times as much on his Visa card as on his Mastercard. Find the amount of debt he should have on each card.</strong> A)   B)   C)   D)   E) none of these
B) <strong>Sean is shifting his debt on his credit cards. He wants 4 times as much on his Visa card as on his Mastercard. Find the amount of debt he should have on each card.</strong> A)   B)   C)   D)   E) none of these
C) <strong>Sean is shifting his debt on his credit cards. He wants 4 times as much on his Visa card as on his Mastercard. Find the amount of debt he should have on each card.</strong> A)   B)   C)   D)   E) none of these
D) <strong>Sean is shifting his debt on his credit cards. He wants 4 times as much on his Visa card as on his Mastercard. Find the amount of debt he should have on each card.</strong> A)   B)   C)   D)   E) none of these
E) none of these
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58
A Saturday matinee sells adult tickets for $6.50 and kid tickets, for kids under 12, for $4.00. A total of 150 tickets were sold, and the revenue from the ticket sales was $805. Find the number of adult tickets and the number of kid tickets sold.

A) <strong>A Saturday matinee sells adult tickets for $6.50 and kid tickets, for kids under 12, for $4.00. A total of 150 tickets were sold, and the revenue from the ticket sales was $805. Find the number of adult tickets and the number of kid tickets sold.</strong> A)   B)   C)   D)   E) none of these
B) <strong>A Saturday matinee sells adult tickets for $6.50 and kid tickets, for kids under 12, for $4.00. A total of 150 tickets were sold, and the revenue from the ticket sales was $805. Find the number of adult tickets and the number of kid tickets sold.</strong> A)   B)   C)   D)   E) none of these
C) <strong>A Saturday matinee sells adult tickets for $6.50 and kid tickets, for kids under 12, for $4.00. A total of 150 tickets were sold, and the revenue from the ticket sales was $805. Find the number of adult tickets and the number of kid tickets sold.</strong> A)   B)   C)   D)   E) none of these
D) <strong>A Saturday matinee sells adult tickets for $6.50 and kid tickets, for kids under 12, for $4.00. A total of 150 tickets were sold, and the revenue from the ticket sales was $805. Find the number of adult tickets and the number of kid tickets sold.</strong> A)   B)   C)   D)   E) none of these
E) none of these
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59
Two bicyclists leave the same point at the same time and travel in opposite directions. One cyclist rides at an average speed of 9 mph and the other at an average speed of 12 mph. Find the distance each cyclist has gone when the distance between them is 22 miles. Round your answer to the nearest tenth of a mile.

A) <strong>Two bicyclists leave the same point at the same time and travel in opposite directions. One cyclist rides at an average speed of 9 mph and the other at an average speed of 12 mph. Find the distance each cyclist has gone when the distance between them is 22 miles. Round your answer to the nearest tenth of a mile.</strong> A)   B)   C)   D)   E) none of these
B) <strong>Two bicyclists leave the same point at the same time and travel in opposite directions. One cyclist rides at an average speed of 9 mph and the other at an average speed of 12 mph. Find the distance each cyclist has gone when the distance between them is 22 miles. Round your answer to the nearest tenth of a mile.</strong> A)   B)   C)   D)   E) none of these
C) <strong>Two bicyclists leave the same point at the same time and travel in opposite directions. One cyclist rides at an average speed of 9 mph and the other at an average speed of 12 mph. Find the distance each cyclist has gone when the distance between them is 22 miles. Round your answer to the nearest tenth of a mile.</strong> A)   B)   C)   D)   E) none of these
D) <strong>Two bicyclists leave the same point at the same time and travel in opposite directions. One cyclist rides at an average speed of 9 mph and the other at an average speed of 12 mph. Find the distance each cyclist has gone when the distance between them is 22 miles. Round your answer to the nearest tenth of a mile.</strong> A)   B)   C)   D)   E) none of these
E) none of these
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60
Miley is shifting her credit card debt. She has a total of $2292 in debt, and she wants three times as much debt on her Visa as on her Master Card. How much debt will she have on each credit card?

A) <strong>Miley is shifting her credit card debt. She has a total of $2292 in debt, and she wants three times as much debt on her Visa as on her Master Card. How much debt will she have on each credit card?</strong> A)   B)   C)   D)   E) none of these
B) <strong>Miley is shifting her credit card debt. She has a total of $2292 in debt, and she wants three times as much debt on her Visa as on her Master Card. How much debt will she have on each credit card?</strong> A)   B)   C)   D)   E) none of these
C) <strong>Miley is shifting her credit card debt. She has a total of $2292 in debt, and she wants three times as much debt on her Visa as on her Master Card. How much debt will she have on each credit card?</strong> A)   B)   C)   D)   E) none of these
D) <strong>Miley is shifting her credit card debt. She has a total of $2292 in debt, and she wants three times as much debt on her Visa as on her Master Card. How much debt will she have on each credit card?</strong> A)   B)   C)   D)   E) none of these
E) none of these
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61
Solve the equation <strong>Solve the equation  For the variable  </strong> A)   B)   C)   D)   E) none of these For the variable <strong>Solve the equation  For the variable  </strong> A)   B)   C)   D)   E) none of these

A) <strong>Solve the equation  For the variable  </strong> A)   B)   C)   D)   E) none of these
B) <strong>Solve the equation  For the variable  </strong> A)   B)   C)   D)   E) none of these
C) <strong>Solve the equation  For the variable  </strong> A)   B)   C)   D)   E) none of these
D) <strong>Solve the equation  For the variable  </strong> A)   B)   C)   D)   E) none of these
E) none of these
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62
Write the system of equations in standard from, clearing all fractions: <strong>Write the system of equations in standard from, clearing all fractions:  </strong> A)   B)   C)   D)   E) none of these

A) <strong>Write the system of equations in standard from, clearing all fractions:  </strong> A)   B)   C)   D)   E) none of these
B) <strong>Write the system of equations in standard from, clearing all fractions:  </strong> A)   B)   C)   D)   E) none of these
C) <strong>Write the system of equations in standard from, clearing all fractions:  </strong> A)   B)   C)   D)   E) none of these
D) <strong>Write the system of equations in standard from, clearing all fractions:  </strong> A)   B)   C)   D)   E) none of these
E) none of these
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63
Solve the system of equations by substitution.

-<strong>Solve the system of equations by substitution.  - </strong> A) {-3 ,5} B) {3 , -5} C) {0 , 4} D) infinitely many solutions E) no solution

A) {-3 ,5}
B) {3 , -5}
C) {0 , 4}
D) infinitely many solutions
E) no solution
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64
Solve the system of equations by substitution.

-<strong>Solve the system of equations by substitution.  - </strong> A) {-1 ,   } B) {-6 ,-7} C) { 6 ,-7} D) infinitely many solutions E) no solution

A) {-1 , <strong>Solve the system of equations by substitution.  - </strong> A) {-1 ,   } B) {-6 ,-7} C) { 6 ,-7} D) infinitely many solutions E) no solution }
B) {-6 ,-7}
C) { 6 ,-7}
D) infinitely many solutions
E) no solution
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65
Solve the system of equations by substitution.

-<strong>Solve the system of equations by substitution.  - </strong> A) {-1 ,5} B) {0 ,-5} C) {5 ,0 } D) infinitely many solutions E) no solution

A) {-1 ,5}
B) {0 ,-5}
C) {5 ,0 }
D) infinitely many solutions
E) no solution
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66
Solve the system of equations by substitution.

-<strong>Solve the system of equations by substitution.  - </strong> A) {7 ,-11} B) {7 ,-9} C) {8 ,-11} D) infinitely many solutions E) no solution

A) {7 ,-11}
B) {7 ,-9}
C) {8 ,-11}
D) infinitely many solutions
E) no solution
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67
Solve the system of equations by substitution.

-<strong>Solve the system of equations by substitution.  - </strong> A) {35 ,35 } B) {0 ,   } C) {   , 0} D) infinitely many solutions E) no solution

A) {35 ,35 }
B) {0 , <strong>Solve the system of equations by substitution.  - </strong> A) {35 ,35 } B) {0 ,   } C) {   , 0} D) infinitely many solutions E) no solution }
C) { <strong>Solve the system of equations by substitution.  - </strong> A) {35 ,35 } B) {0 ,   } C) {   , 0} D) infinitely many solutions E) no solution , 0}
D) infinitely many solutions
E) no solution
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68
Use elimination to solve the system of equations.

-<strong>Use elimination to solve the system of equations.  - </strong> A) {1 ,3} B) {-1 ,3} C) {8 ,3} D) infinitely many solutions E) no solution

A) {1 ,3}
B) {-1 ,3}
C) {8 ,3}
D) infinitely many solutions
E) no solution
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69
Use elimination to solve the system of equations.

-<strong>Use elimination to solve the system of equations.  - </strong> A) {0 ,3} B) {-12 ,3} C) {0 ,-3} D) infinitely many solutions E) no solution

A) {0 ,3}
B) {-12 ,3}
C) {0 ,-3}
D) infinitely many solutions
E) no solution
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70
Use elimination to solve the system of equations.

-<strong>Use elimination to solve the system of equations.  - </strong> A) {   } B) {   } C) {   } D) infinitely many solutions E) no solution

A) { <strong>Use elimination to solve the system of equations.  - </strong> A) {   } B) {   } C) {   } D) infinitely many solutions E) no solution }
B) { <strong>Use elimination to solve the system of equations.  - </strong> A) {   } B) {   } C) {   } D) infinitely many solutions E) no solution }
C) { <strong>Use elimination to solve the system of equations.  - </strong> A) {   } B) {   } C) {   } D) infinitely many solutions E) no solution }
D) infinitely many solutions
E) no solution
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71
Use elimination to solve the system of equations.

-<strong>Use elimination to solve the system of equations.  - </strong> A) {   } B) {   } C) {   } D) infinitely many solutions E) no solution

A) { <strong>Use elimination to solve the system of equations.  - </strong> A) {   } B) {   } C) {   } D) infinitely many solutions E) no solution }
B) { <strong>Use elimination to solve the system of equations.  - </strong> A) {   } B) {   } C) {   } D) infinitely many solutions E) no solution }
C) { <strong>Use elimination to solve the system of equations.  - </strong> A) {   } B) {   } C) {   } D) infinitely many solutions E) no solution }
D) infinitely many solutions
E) no solution
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72
Use elimination to solve the system of equations.

-<strong>Use elimination to solve the system of equations.  - </strong> A) {272 , 84} B) {544 , -840} C) {84 , 272} D) infinitely many solutions E) no solution

A) {272 , 84}
B) {544 , -840}
C) {84 , 272}
D) infinitely many solutions
E) no solution
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73
Solve the system using any method.

-<strong>Solve the system using any method.  - </strong> A) {0 , 0} B) {   } C){   } D) infinitely many solutions E) no solution

A) {0 , 0}
B) { <strong>Solve the system using any method.  - </strong> A) {0 , 0} B) {   } C){   } D) infinitely many solutions E) no solution }
C){ <strong>Solve the system using any method.  - </strong> A) {0 , 0} B) {   } C){   } D) infinitely many solutions E) no solution }
D) infinitely many solutions
E) no solution
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74
Solve the system using any method.

-<strong>Solve the system using any method.  - </strong> A) {2 , -4} B) {-2 , 10} C) {   } D) infinitely many solutions E) no solution

A) {2 , -4}
B) {-2 , 10}
C) { <strong>Solve the system using any method.  - </strong> A) {2 , -4} B) {-2 , 10} C) {   } D) infinitely many solutions E) no solution }
D) infinitely many solutions
E) no solution
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75
Solve the system using any method.

-<strong>Solve the system using any method.  - </strong> A) {   } B) {   } C) {   } D) infinitely many solutions E) no solution

A) { <strong>Solve the system using any method.  - </strong> A) {   } B) {   } C) {   } D) infinitely many solutions E) no solution }
B) { <strong>Solve the system using any method.  - </strong> A) {   } B) {   } C) {   } D) infinitely many solutions E) no solution }
C) { <strong>Solve the system using any method.  - </strong> A) {   } B) {   } C) {   } D) infinitely many solutions E) no solution }
D) infinitely many solutions
E) no solution
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76
Use an algebraic method to determine for which, if any, system {-2 , -4} is a solution.

A) <strong>Use an algebraic method to determine for which, if any, system {-2 , -4} is a solution.</strong> A)   B)   C)   D)   E) none of these
B) <strong>Use an algebraic method to determine for which, if any, system {-2 , -4} is a solution.</strong> A)   B)   C)   D)   E) none of these
C) <strong>Use an algebraic method to determine for which, if any, system {-2 , -4} is a solution.</strong> A)   B)   C)   D)   E) none of these
D) <strong>Use an algebraic method to determine for which, if any, system {-2 , -4} is a solution.</strong> A)   B)   C)   D)   E) none of these
E) none of these
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77
Use an algebraic method to determine for which, if any, system {6 , -2} is a solution.

A) <strong>Use an algebraic method to determine for which, if any, system {6 , -2} is a solution.</strong> A)   B)   C)   D)   E) none of these
B) <strong>Use an algebraic method to determine for which, if any, system {6 , -2} is a solution.</strong> A)   B)   C)   D)   E) none of these
C) <strong>Use an algebraic method to determine for which, if any, system {6 , -2} is a solution.</strong> A)   B)   C)   D)   E) none of these
D) <strong>Use an algebraic method to determine for which, if any, system {6 , -2} is a solution.</strong> A)   B)   C)   D)   E) none of these
E) none of these
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78
Use an algebraic method to determine for which, if any, system {-3 , 2} is a solution.

A) <strong>Use an algebraic method to determine for which, if any, system {-3 , 2} is a solution.</strong> A)   B)   C)   D)   E) none of these
B) <strong>Use an algebraic method to determine for which, if any, system {-3 , 2} is a solution.</strong> A)   B)   C)   D)   E) none of these
C) <strong>Use an algebraic method to determine for which, if any, system {-3 , 2} is a solution.</strong> A)   B)   C)   D)   E) none of these
D) <strong>Use an algebraic method to determine for which, if any, system {-3 , 2} is a solution.</strong> A)   B)   C)   D)   E) none of these
E) none of these
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79
The graph represents the system of equations <strong>The graph represents the system of equations   . Solve by graphing.  </strong> A) {-3 , 0} B) {0 , -3} C) {1 , -1} D) {-3 , 0}. E) no solution
. Solve by graphing.
<strong>The graph represents the system of equations   . Solve by graphing.  </strong> A) {-3 , 0} B) {0 , -3} C) {1 , -1} D) {-3 , 0}. E) no solution

A) {-3 , 0}
B) {0 , -3}
C) {1 , -1}
D) {-3 , 0}.
E) no solution
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80
The graph represents the system of equations <strong>The graph represents the system of equations   . Solve by graphing.  </strong> A) {-1 , -2} B) {2 , -1} C) {-2, -1} D) {-1 , 2} E) no solution
. Solve by graphing.
<strong>The graph represents the system of equations   . Solve by graphing.  </strong> A) {-1 , -2} B) {2 , -1} C) {-2, -1} D) {-1 , 2} E) no solution

A) {-1 , -2}
B) {2 , -1}
C) {-2, -1}
D) {-1 , 2}
E) no solution
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افتح القفل للوصول البطاقات البالغ عددها 90 في هذه المجموعة.