Question 1

Graph the solution of the system.
-X + y $\le$ 9
Y $\ge$ 3x - 3
X $\ge$ 0
Y $\ge$ -3
 )
_____
A) 
B) 
C) 
D)

Accepted Answer

The answer of Graph the solution of the system.
-X +...

Question 2

Select the system of inequalities that matches the given graph.
-
A) y $\ge$ xy $\ge$ -2x + 2
B) y $\ge$ xy $\le$ -2x + 2
C) y$\le$ xy $\ge$ -2x + 2
D) y $\le$ xy $\le$ -2x + 2

Accepted Answer

The answer of Select the system of inequalities that matches...

Question 3

Select the system of inequalities that matches the given graph.
-
A) y $\le$ -xy $\ge$2x + 2
B) y $\le$-xy $\le$ 2x + 2
C) y $\ge$ -xy $\ge$2x + 2
D) y $\ge$ -xy $\le$ 2x + 2

Accepted Answer

The answer of Select the system of inequalities that matches...

Question 4

Indicate whether the statement is true or false.
-If one inequality in a system of two linear inequalities contains the "<" symbol and the other contains the ">" symbol, the graph of the system will have solid boundary lines.

Accepted Answer

In a system of linear inequalities, the boundary lines are solid if the inequalities include the "≤" or "≥" symbols, indicating that points on the line are included in the solution set. The "<" and ">" symbols indicate that the boundary lines should be dashed, showing that points on the line are not included in the solution set.

Question 5

Decide whether the ordered pair is a solution of the system.
-(  , -  )
y + 5x = -2
x + y = -17

Accepted Answer

The answer of Decide whether the ordered pair is a...

Question 6

Decide whether the ordered pair is a solution of the system.
-( 6, 6)
3x = -12 - y
4x = -6 - 3y

Accepted Answer

Substituting $x = 6$ and $y = 6$ into both equations, for the first equation $3(6) = -12 - (6)$ simplifies to $18 = -18$, which is false. For the second equation, $4(6) = -6 - 3(6)$ simplifies to $24 = -24$, which is also false. Therefore, the ordered pair $(6, 6)$ is not a solution to the system.

Question 7

Decide whether the ordered pair is a solution of the system.
-( -6, -5)
y - 2x = 4
x + y = -4

Accepted Answer

Substitute x = -6 and y = -5 into both equations: 1) -5 - 2(-6) = 4 simplifies to -5 + 12 = 7, which is incorrect.2) -6 + (-5) = -11, which is incorrect.Therefore, the ordered pair (-6, -5) is not a solution to the system.

Question 8

Solve the system by graphing.
-  
A) {(-4, 3)}
B) {(-3, 4)}
C) {(x, y)|3x + 4y = 7}
D)

Accepted Answer

The answer of Solve the system by graphing.
-  
A)...

Question 9

Provide an appropriate response.
-When two linear equations are solved for y and the slopes are equal and the y-intercepts are different, the lines are_________ ?
A) Parallel
B) Intersecting
C) One

Accepted Answer

When two linear equations have equal slopes but different y-intercepts, they are parallel, meaning they never intersect.

Question 10

GraphSolve the system by substitution.
-2x + y = -2
Y = 4x - 2
A) {( -1, -6)}
B) {( 0, -2)}
C) {( -2, 2)}
D) {( -2, 0)}

Accepted Answer

The answer of GraphSolve the system by substitution.
-2x + y...

Question 11

GraphSolve the system by substitution.
-X - 2y = 18
2x - y = 0
A) {( -6, -13)}
B) {( -7, -14)}
C) {( 6, 12)}
D) {( -6, -12)}

Accepted Answer

From the second equation, $2x - y = 0$, we can express $y$ in terms of $x$: $y = 2x$. Substituting $y = 2x$ into the first equation, $x - 2(2x) = 18$, simplifies to $x - 4x = 18$, which further simplifies to $-3x = 18$. Solving for $x$, we get $x = -6$. Substituting $x = -6$ back into $y = 2x$, we get $y = 2(-6) = -12$. Therefore, the solution is $(-6, -12)$.

Question 12

Solve the system by elimination.
-4x - y = 19
5x + y = 35
A) {(x, y)| 4x - y = 19}
B) 
C) {( 6, 5)}
D) {( 5, 6)}

Accepted Answer

The answer of Solve the system by elimination.
-4x - y...

Question 13

Solve the system by elimination.
--5x + 7y = 56
2x + 4y = 32
A) {( 0, 8)}
B) {( 0, 9)}
C) {( -1, 9)}
D)

Accepted Answer

The answer of Solve the system by elimination.
--5x + 7y...

Question 14

Solve the system by elimination.
--7x + 9y = -98
3x - 6y = 57
A) {( 5, -6)}
B) {( 5, -7)}
C) 
D) {( 4, -6)}

Accepted Answer

The answer of Solve the system by elimination.
--7x + 9y...

Question 15

Solve the system by elimination.
-6x + 4y = 5
18x + 12y = -15
A) 
B) {(x, y)| 6x + 4y = 5}
C) {( 30, 20)}
D) {( -30, -20)}

Accepted Answer

The answer of Solve the system by elimination.
-6x + 4y...

Question 16

Solve the system by elimination.
--6x + 9y = 0
3x - 6y =0
A) {( -6, 1)}
B) 
C) {(0, 0)}
D) {( -6, 0)}

Accepted Answer

The answer of Solve the system by elimination.
--6x + 9y...

Question 17

Solve the system by any method.
--3y =- 5 - 1
30x = 18y - 6
A) {( -5, 3)}
B) {(x, y)| 5x - 3y = -1}
C) 
D) {( 3, -5)}

Accepted Answer

The answer of Solve the system by any method.
--3y =-...

Question 18

Solve the system by any method.
- x -  y = -53
-  x+  y = 23
A) {( -63, 35)}
B) {( 63, -35)}
C) {( -63, -35)}
D) {( 63, 35)}

Accepted Answer

The answer of Solve the system by any method.
- x...

Question 19

Solve the system by any method.
-0)5x - 0.1y = -0.2
-0)1x - 0.1y = 0.4
A) 
B) {( -1.6, -0.7)}
C) {( -1, -3)}
D) {( 2.3, 1.5)}

Accepted Answer

The answer of Solve the system by any method.
-0)5x -...

Question 20

Solve the problem by using a system of equations.
-The distance between city A and city B is 250 mi more than the distance between city C and city D. Together, the two distances total 1500 mi. How far is it between city A and city B? How far is it between city C and city D?
A) City A and B: 875 mi; City C and D: 625 mi
B) City A and B: 875 mi; City C and D: 750 mi
C) City A and B: 750mi; City C and D: 625 mi
D) City A and B: 1500 mi; City C and D: 1250 mi

Accepted Answer

Let x be the distance between city A and B, and y be the distance between city C and D. The system of equations is x = y + 250 and x + y = 1500. Solving this system gives x = 875 and y = 625.

Quiz 5: Exponents and Polynomials

Graph the solution of the system. -X + y $\le$ 9 Y $\ge$ 3x - 3 X $\ge$ 0 Y $\ge$ -3 $Graph the solution of the system. -X + y \le 9 Y \ge 3x - 3 X \ge 0 Y \ge -3 ) _ A) B) C) D)$ ) _

Select the system of inequalities that matches the given graph. - $Select the system of inequalities that matches the given graph. - A) y \ge xy \ge -2x + 2 B) y \ge xy \le -2x + 2 C) y \le xy \ge -2x + 2 D) y \le xy \le -2x + 2$

Select the system of inequalities that matches the given graph. - $Select the system of inequalities that matches the given graph. - A) y \le -xy \ge 2x + 2 B) y \le -xy \le 2x + 2 C) y \ge -xy \ge 2x + 2 D) y \ge -xy \le 2x + 2$

Indicate whether the statement is true or false. -If one inequality in a system of two linear inequalities contains the "<" symbol and the other contains the ">" symbol, the graph of the system will have solid boundary lines.

Decide whether the ordered pair is a solution of the system. -( , - ) y + 5x = -2 x + y = -17

Decide whether the ordered pair is a solution of the system. -( 6, 6) 3x = -12 - y 4x = -6 - 3y

Decide whether the ordered pair is a solution of the system. -( -6, -5) y - 2x = 4 x + y = -4

Solve the system by graphing. -

Provide an appropriate response. -When two linear equations are solved for y and the slopes are equal and the y-intercepts are different, the lines are_________ ?

GraphSolve the system by substitution. -2x + y = -2 Y = 4x - 2

GraphSolve the system by substitution. -X - 2y = 18 2x - y = 0

Solve the system by elimination. -4x - y = 19 5x + y = 35

Solve the system by elimination. --5x + 7y = 56 2x + 4y = 32

Solve the system by elimination. --7x + 9y = -98 3x - 6y = 57

Solve the system by elimination. -6x + 4y = 5 18x + 12y = -15

Solve the system by elimination. --6x + 9y = 0 3x - 6y =0

Solve the system by any method. --3y =- 5 - 1 30x = 18y - 6

Solve the system by any method. - x - y = -53 - x+ y = 23

Solve the system by any method. -0) 5x - 0.1y = -0.2 -0) 1x - 0.1y = 0.4

Solve the problem by using a system of equations. -The distance between city A and city B is 250 mi more than the distance between city C and city D. Together, the two distances total 1500 mi. How far is it between city A and city B? How far is it between city C and city D?