Deck 10: Completing the Square

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Question
Solve the following quadratic equation by completing the square. <strong>Solve the following quadratic equation by completing the square.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>

A) <strong>Solve the following quadratic equation by completing the square.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Solve the following quadratic equation by completing the square.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Solve the following quadratic equation by completing the square.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Solve the following quadratic equation by completing the square.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Solve the following quadratic equation by completing the square.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
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Question
Fill in the blanks so that the left side is a perfect square trinomial; that is, complete the square. <strong>Fill in the blanks so that the left side is a perfect square trinomial; that is, complete the square.   _____   _____  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> _____ <strong>Fill in the blanks so that the left side is a perfect square trinomial; that is, complete the square.   _____   _____  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> _____ <strong>Fill in the blanks so that the left side is a perfect square trinomial; that is, complete the square.   _____   _____  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>

A) <strong>Fill in the blanks so that the left side is a perfect square trinomial; that is, complete the square.   _____   _____  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Fill in the blanks so that the left side is a perfect square trinomial; that is, complete the square.   _____   _____  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Fill in the blanks so that the left side is a perfect square trinomial; that is, complete the square.   _____   _____  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Fill in the blanks so that the left side is a perfect square trinomial; that is, complete the square.   _____   _____  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Fill in the blanks so that the left side is a perfect square trinomial; that is, complete the square.   _____   _____  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
Question
Solve the equation. <strong>Solve the equation.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>

A) <strong>Solve the equation.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Solve the equation.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Solve the equation.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Solve the equation.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Solve the equation.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
Question
Suppose a deposit of $3,500 in a savings account that paid an annual interest rate <strong>Suppose a deposit of $3,500 in a savings account that paid an annual interest rate   (compounded yearly) is worth $3,977 after 2 years. Using the formula   , we have   Solve for r to find the annual interest rate. Round the answer to the nearest tenth.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> (compounded yearly) is worth $3,977 after 2 years. Using the formula <strong>Suppose a deposit of $3,500 in a savings account that paid an annual interest rate   (compounded yearly) is worth $3,977 after 2 years. Using the formula   , we have   Solve for r to find the annual interest rate. Round the answer to the nearest tenth.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> , we have <strong>Suppose a deposit of $3,500 in a savings account that paid an annual interest rate   (compounded yearly) is worth $3,977 after 2 years. Using the formula   , we have   Solve for r to find the annual interest rate. Round the answer to the nearest tenth.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> Solve for r to find the annual interest rate. Round the answer to the nearest tenth.

A) <strong>Suppose a deposit of $3,500 in a savings account that paid an annual interest rate   (compounded yearly) is worth $3,977 after 2 years. Using the formula   , we have   Solve for r to find the annual interest rate. Round the answer to the nearest tenth.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Suppose a deposit of $3,500 in a savings account that paid an annual interest rate   (compounded yearly) is worth $3,977 after 2 years. Using the formula   , we have   Solve for r to find the annual interest rate. Round the answer to the nearest tenth.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Suppose a deposit of $3,500 in a savings account that paid an annual interest rate   (compounded yearly) is worth $3,977 after 2 years. Using the formula   , we have   Solve for r to find the annual interest rate. Round the answer to the nearest tenth.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Suppose a deposit of $3,500 in a savings account that paid an annual interest rate   (compounded yearly) is worth $3,977 after 2 years. Using the formula   , we have   Solve for r to find the annual interest rate. Round the answer to the nearest tenth.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Suppose a deposit of $3,500 in a savings account that paid an annual interest rate   (compounded yearly) is worth $3,977 after 2 years. Using the formula   , we have   Solve for r to find the annual interest rate. Round the answer to the nearest tenth.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
Question
Solve the following quadratic equation by completing the square. <strong>Solve the following quadratic equation by completing the square.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>

A) <strong>Solve the following quadratic equation by completing the square.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Solve the following quadratic equation by completing the square.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Solve the following quadratic equation by completing the square.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Solve the following quadratic equation by completing the square.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Solve the following quadratic equation by completing the square.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
Question
Fill in the blanks so that the left side of each is a perfect square trinomial; that is, complete the square. <strong>Fill in the blanks so that the left side of each is a perfect square trinomial; that is, complete the square.   _____   _____  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> _____ <strong>Fill in the blanks so that the left side of each is a perfect square trinomial; that is, complete the square.   _____   _____  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> _____ <strong>Fill in the blanks so that the left side of each is a perfect square trinomial; that is, complete the square.   _____   _____  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>

A) <strong>Fill in the blanks so that the left side of each is a perfect square trinomial; that is, complete the square.   _____   _____  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Fill in the blanks so that the left side of each is a perfect square trinomial; that is, complete the square.   _____   _____  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Fill in the blanks so that the left side of each is a perfect square trinomial; that is, complete the square.   _____   _____  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Fill in the blanks so that the left side of each is a perfect square trinomial; that is, complete the square.   _____   _____  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Fill in the blanks so that the left side of each is a perfect square trinomial; that is, complete the square.   _____   _____  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
Question
Fill in the blanks so that the left side is a perfect square trinomial; that is, complete the square. <strong>Fill in the blanks so that the left side is a perfect square trinomial; that is, complete the square.   _____   _____  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> _____ <strong>Fill in the blanks so that the left side is a perfect square trinomial; that is, complete the square.   _____   _____  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> _____ <strong>Fill in the blanks so that the left side is a perfect square trinomial; that is, complete the square.   _____   _____  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>

A) <strong>Fill in the blanks so that the left side is a perfect square trinomial; that is, complete the square.   _____   _____  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Fill in the blanks so that the left side is a perfect square trinomial; that is, complete the square.   _____   _____  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Fill in the blanks so that the left side is a perfect square trinomial; that is, complete the square.   _____   _____  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Fill in the blanks so that the left side is a perfect square trinomial; that is, complete the square.   _____   _____  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Fill in the blanks so that the left side is a perfect square trinomial; that is, complete the square.   _____   _____  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
Question
In the figure below, triangle ABC has angles <strong>In the figure below, triangle ABC has angles   and   and height k . Find the lengths of sides AB , BC , and AC , in terms of k .  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> and <strong>In the figure below, triangle ABC has angles   and   and height k . Find the lengths of sides AB , BC , and AC , in terms of k .  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> and height k . Find the lengths of sides AB , BC , and AC , in terms of k . <strong>In the figure below, triangle ABC has angles   and   and height k . Find the lengths of sides AB , BC , and AC , in terms of k .  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>

A) <strong>In the figure below, triangle ABC has angles   and   and height k . Find the lengths of sides AB , BC , and AC , in terms of k .  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>In the figure below, triangle ABC has angles   and   and height k . Find the lengths of sides AB , BC , and AC , in terms of k .  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>In the figure below, triangle ABC has angles   and   and height k . Find the lengths of sides AB , BC , and AC , in terms of k .  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>In the figure below, triangle ABC has angles   and   and height k . Find the lengths of sides AB , BC , and AC , in terms of k .  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>In the figure below, triangle ABC has angles   and   and height k . Find the lengths of sides AB , BC , and AC , in terms of k .  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
Question
Solve the following quadratic equation by completing the square. <strong>Solve the following quadratic equation by completing the square.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>

A) <strong>Solve the following quadratic equation by completing the square.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Solve the following quadratic equation by completing the square.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Solve the following quadratic equation by completing the square.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Solve the following quadratic equation by completing the square.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Solve the following quadratic equation by completing the square.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
Question
Solve the equation. <strong>Solve the equation.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>

A) <strong>Solve the equation.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Solve the equation.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Solve the equation.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Solve the equation.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Solve the equation.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
Question
Solve the equation. <strong>Solve the equation.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>

A) <strong>Solve the equation.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Solve the equation.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Solve the equation.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Solve the equation.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Solve the equation.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
Question
Solve the following quadratic equation by completing the square. <strong>Solve the following quadratic equation by completing the square.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>

A) <strong>Solve the following quadratic equation by completing the square.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Solve the following quadratic equation by completing the square.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Solve the following quadratic equation by completing the square.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Solve the following quadratic equation by completing the square.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Solve the following quadratic equation by completing the square.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
Question
Fill in the blanks so that the left side is a perfect square trinomial; that is, complete the square. <strong>Fill in the blanks so that the left side is a perfect square trinomial; that is, complete the square.   _____   _____  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> _____ <strong>Fill in the blanks so that the left side is a perfect square trinomial; that is, complete the square.   _____   _____  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> _____ <strong>Fill in the blanks so that the left side is a perfect square trinomial; that is, complete the square.   _____   _____  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>

A) <strong>Fill in the blanks so that the left side is a perfect square trinomial; that is, complete the square.   _____   _____  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Fill in the blanks so that the left side is a perfect square trinomial; that is, complete the square.   _____   _____  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Fill in the blanks so that the left side is a perfect square trinomial; that is, complete the square.   _____   _____  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Fill in the blanks so that the left side is a perfect square trinomial; that is, complete the square.   _____   _____  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Fill in the blanks so that the left side is a perfect square trinomial; that is, complete the square.   _____   _____  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
Question
Solve the equation. <strong>Solve the equation.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>

A) <strong>Solve the equation.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Solve the equation.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Solve the equation.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Solve the equation.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Solve the equation.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
Question
If the length of the shorter sides of a <strong>If the length of the shorter sides of a   triangle is   , find the length of the hypotenuse, in terms of   .  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> triangle is <strong>If the length of the shorter sides of a   triangle is   , find the length of the hypotenuse, in terms of   .  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> , find the length of the hypotenuse, in terms of <strong>If the length of the shorter sides of a   triangle is   , find the length of the hypotenuse, in terms of   .  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> . <strong>If the length of the shorter sides of a   triangle is   , find the length of the hypotenuse, in terms of   .  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>

A) <strong>If the length of the shorter sides of a   triangle is   , find the length of the hypotenuse, in terms of   .  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>If the length of the shorter sides of a   triangle is   , find the length of the hypotenuse, in terms of   .  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>If the length of the shorter sides of a   triangle is   , find the length of the hypotenuse, in terms of   .  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>If the length of the shorter sides of a   triangle is   , find the length of the hypotenuse, in terms of   .  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>If the length of the shorter sides of a   triangle is   , find the length of the hypotenuse, in terms of   .  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
Question
Solve the following quadratic equation by completing the square. <strong>Solve the following quadratic equation by completing the square.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>

A) <strong>Solve the following quadratic equation by completing the square.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Solve the following quadratic equation by completing the square.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Solve the following quadratic equation by completing the square.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Solve the following quadratic equation by completing the square.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Solve the following quadratic equation by completing the square.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
Question
Solve the equation. <strong>Solve the equation.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>

A) <strong>Solve the equation.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Solve the equation.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Solve the equation.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Solve the equation.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Solve the equation.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
Question
Solve the following quadratic equation by completing the square. <strong>Solve the following quadratic equation by completing the square.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>

A) <strong>Solve the following quadratic equation by completing the square.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Solve the following quadratic equation by completing the square.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Solve the following quadratic equation by completing the square.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Solve the following quadratic equation by completing the square.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Solve the following quadratic equation by completing the square.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
Question
Solve the equation. <strong>Solve the equation.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>

A) <strong>Solve the equation.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Solve the equation.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Solve the equation.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Solve the equation.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Solve the equation.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
Question
Simplify. <strong>Simplify.  </strong> A) 7 B) 3 C) 1 D) 9 E) 5 <div style=padding-top: 35px>

A) 7
B) 3
C) 1
D) 9
E) 5
Question
Solve the following quadratic equation by completing the square. Solve the following quadratic equation by completing the square.   a = __________<div style=padding-top: 35px> a = __________
Question
Solve the equation using the quadratic formula. <strong>Solve the equation using the quadratic formula.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>

A) <strong>Solve the equation using the quadratic formula.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Solve the equation using the quadratic formula.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Solve the equation using the quadratic formula.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Solve the equation using the quadratic formula.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Solve the equation using the quadratic formula.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
Question
Fill in the blanks so that the left side is a perfect square trinomial; that is, complete the square. Fill in the blanks so that the left side is a perfect square trinomial; that is, complete the square.   _____   _____  <div style=padding-top: 35px> _____ Fill in the blanks so that the left side is a perfect square trinomial; that is, complete the square.   _____   _____  <div style=padding-top: 35px> _____ Fill in the blanks so that the left side is a perfect square trinomial; that is, complete the square.   _____   _____  <div style=padding-top: 35px>
Question
Simplify. Simplify.  <div style=padding-top: 35px>
Question
Solve the equation. Solve the equation.   x = __________<div style=padding-top: 35px> x = __________
Question
Solve the following quadratic equation by completing the square. Solve the following quadratic equation by completing the square.   x = __________<div style=padding-top: 35px> x = __________
Question
If the length of the shorter sides of a If the length of the shorter sides of a   triangle is x , find the length of the hypotenuse, in terms of x .  <div style=padding-top: 35px> triangle is x , find the length of the hypotenuse, in terms of x . If the length of the shorter sides of a   triangle is x , find the length of the hypotenuse, in terms of x .  <div style=padding-top: 35px>
Question
Solve the following quadratic equation by completing the square. Solve the following quadratic equation by completing the square.   a = __________<div style=padding-top: 35px> a = __________
Question
Fill in the blanks so that the left side is a perfect square trinomial; that is, complete the square. Fill in the blanks so that the left side is a perfect square trinomial; that is, complete the square.   _____   _____  <div style=padding-top: 35px> _____ Fill in the blanks so that the left side is a perfect square trinomial; that is, complete the square.   _____   _____  <div style=padding-top: 35px> _____ Fill in the blanks so that the left side is a perfect square trinomial; that is, complete the square.   _____   _____  <div style=padding-top: 35px>
Question
Solve the following quadratic equation by completing the square. Solve the following quadratic equation by completing the square.   x = __________<div style=padding-top: 35px> x = __________
Question
Solve the following quadratic equation by completing the square. Solve the following quadratic equation by completing the square.   x = __________<div style=padding-top: 35px> x = __________
Question
Solve the equation. Solve the equation.   x = __________<div style=padding-top: 35px> x = __________
Question
Solve the equation. Solve the equation.   x = __________<div style=padding-top: 35px> x = __________
Question
Solve the equation. Solve the equation.   y = __________<div style=padding-top: 35px> y = __________
Question
Fill in the blanks so that the left side is a perfect square trinomial; that is, complete the square. Fill in the blanks so that the left side is a perfect square trinomial; that is, complete the square.   _____   _____  <div style=padding-top: 35px> _____ Fill in the blanks so that the left side is a perfect square trinomial; that is, complete the square.   _____   _____  <div style=padding-top: 35px> _____ Fill in the blanks so that the left side is a perfect square trinomial; that is, complete the square.   _____   _____  <div style=padding-top: 35px>
Question
Solve the following quadratic equation by completing the square. Solve the following quadratic equation by completing the square.   x = __________<div style=padding-top: 35px> x = __________
Question
Solve the equation. Solve the equation.   y = __________<div style=padding-top: 35px> y = __________
Question
Suppose a deposit of $3,500 in a savings account that paid an annual interest rate r (compounded yearly) is worth $4,098 after 2 years. Using the formula Suppose a deposit of $3,500 in a savings account that paid an annual interest rate r (compounded yearly) is worth $4,098 after 2 years. Using the formula   , we have   Solve for r to find the annual interest rate. Round the answer to the nearest tenth. r = __________%<div style=padding-top: 35px> , we have Suppose a deposit of $3,500 in a savings account that paid an annual interest rate r (compounded yearly) is worth $4,098 after 2 years. Using the formula   , we have   Solve for r to find the annual interest rate. Round the answer to the nearest tenth. r = __________%<div style=padding-top: 35px> Solve for r to find the annual interest rate. Round the answer to the nearest tenth. r = __________%
Question
Solve the equation. Solve the equation.   x = __________<div style=padding-top: 35px> x = __________
Question
Fill in the blanks so that the left side is a perfect square trinomial; that is, complete the square. Fill in the blanks so that the left side is a perfect square trinomial; that is, complete the square.   _____   _____  <div style=padding-top: 35px> _____ Fill in the blanks so that the left side is a perfect square trinomial; that is, complete the square.   _____   _____  <div style=padding-top: 35px> _____ Fill in the blanks so that the left side is a perfect square trinomial; that is, complete the square.   _____   _____  <div style=padding-top: 35px>
Question
Solve the equation. Use factoring or the quadratic formula, whichever is appropriate. (Try factoring first. If you have any difficulty factoring, then go right to the quadratic formula.) <strong>Solve the equation. Use factoring or the quadratic formula, whichever is appropriate. (Try factoring first. If you have any difficulty factoring, then go right to the quadratic formula.)  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>

A) <strong>Solve the equation. Use factoring or the quadratic formula, whichever is appropriate. (Try factoring first. If you have any difficulty factoring, then go right to the quadratic formula.)  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Solve the equation. Use factoring or the quadratic formula, whichever is appropriate. (Try factoring first. If you have any difficulty factoring, then go right to the quadratic formula.)  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Solve the equation. Use factoring or the quadratic formula, whichever is appropriate. (Try factoring first. If you have any difficulty factoring, then go right to the quadratic formula.)  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Solve the equation. Use factoring or the quadratic formula, whichever is appropriate. (Try factoring first. If you have any difficulty factoring, then go right to the quadratic formula.)  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Solve the equation. Use factoring or the quadratic formula, whichever is appropriate. (Try factoring first. If you have any difficulty factoring, then go right to the quadratic formula.)  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
Question
Solve the equation using the quadratic formula. <strong>Solve the equation using the quadratic formula.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>

A) <strong>Solve the equation using the quadratic formula.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Solve the equation using the quadratic formula.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Solve the equation using the quadratic formula.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Solve the equation using the quadratic formula.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Solve the equation using the quadratic formula.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
Question
Find the value of Find the value of   when  <div style=padding-top: 35px> when Find the value of   when  <div style=padding-top: 35px>
Question
Solve the equation. Use factoring or the quadratic formula, whichever is appropriate. (Try factoring first. If you have any difficulty factoring, then go right to the quadratic formula.) <strong>Solve the equation. Use factoring or the quadratic formula, whichever is appropriate. (Try factoring first. If you have any difficulty factoring, then go right to the quadratic formula.)  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>

A) <strong>Solve the equation. Use factoring or the quadratic formula, whichever is appropriate. (Try factoring first. If you have any difficulty factoring, then go right to the quadratic formula.)  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Solve the equation. Use factoring or the quadratic formula, whichever is appropriate. (Try factoring first. If you have any difficulty factoring, then go right to the quadratic formula.)  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Solve the equation. Use factoring or the quadratic formula, whichever is appropriate. (Try factoring first. If you have any difficulty factoring, then go right to the quadratic formula.)  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Solve the equation. Use factoring or the quadratic formula, whichever is appropriate. (Try factoring first. If you have any difficulty factoring, then go right to the quadratic formula.)  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Solve the equation. Use factoring or the quadratic formula, whichever is appropriate. (Try factoring first. If you have any difficulty factoring, then go right to the quadratic formula.)  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
Question
Writing in 1829, former President James Madison made some predictions about the growth of the population of the United States. The populations he predicted fit the equation <strong>Writing in 1829, former President James Madison made some predictions about the growth of the population of the United States. The populations he predicted fit the equation   where y is the population in millions of people x years from 1829. Use the equation to determine the approximate year President Madison would have predicted that the U.S. population would reach 100,000,000. Round answer to the nearest year.</strong> A) 1914 B) 1904 C) 1908 D) 1930 E) 1897 <div style=padding-top: 35px> where y is the population in millions of people x years from 1829. Use the equation to determine the approximate year President Madison would have predicted that the U.S. population would reach 100,000,000. Round answer to the nearest year.

A) 1914
B) 1904
C) 1908
D) 1930
E) 1897
Question
The total cost (in dollars) for a company to manufacture and sell <strong>The total cost (in dollars) for a company to manufacture and sell   items per week is   , whereas the revenue brought in by selling all   items is   . How many items must be sold to obtain a weekly profit of $500?</strong> A) 40 or 80 items B) 10 or 110 items C) 50 items D) 70 items E) 70 or 80 items <div style=padding-top: 35px> items per week is <strong>The total cost (in dollars) for a company to manufacture and sell   items per week is   , whereas the revenue brought in by selling all   items is   . How many items must be sold to obtain a weekly profit of $500?</strong> A) 40 or 80 items B) 10 or 110 items C) 50 items D) 70 items E) 70 or 80 items <div style=padding-top: 35px> , whereas the revenue brought in by selling all <strong>The total cost (in dollars) for a company to manufacture and sell   items per week is   , whereas the revenue brought in by selling all   items is   . How many items must be sold to obtain a weekly profit of $500?</strong> A) 40 or 80 items B) 10 or 110 items C) 50 items D) 70 items E) 70 or 80 items <div style=padding-top: 35px> items is <strong>The total cost (in dollars) for a company to manufacture and sell   items per week is   , whereas the revenue brought in by selling all   items is   . How many items must be sold to obtain a weekly profit of $500?</strong> A) 40 or 80 items B) 10 or 110 items C) 50 items D) 70 items E) 70 or 80 items <div style=padding-top: 35px> . How many items must be sold to obtain a weekly profit of $500?

A) 40 or 80 items
B) 10 or 110 items
C) 50 items
D) 70 items
E) 70 or 80 items
Question
Multiply both sides of the equation by their LCD. Then solve the resulting equation. <strong>Multiply both sides of the equation by their LCD. Then solve the resulting equation.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>

A) <strong>Multiply both sides of the equation by their LCD. Then solve the resulting equation.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Multiply both sides of the equation by their LCD. Then solve the resulting equation.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Multiply both sides of the equation by their LCD. Then solve the resulting equation.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Multiply both sides of the equation by their LCD. Then solve the resulting equation.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Multiply both sides of the equation by their LCD. Then solve the resulting equation.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
Question
An object is thrown downward with an initial velocity of 3 feet per second. The relationship between the distance s it travels and time t is given by <strong>An object is thrown downward with an initial velocity of 3 feet per second. The relationship between the distance s it travels and time t is given by   . How long does it take the object to fall 70 feet?</strong> A) 5 seconds B) 3 seconds C) 1 second D) 2 seconds E) 4 seconds <div style=padding-top: 35px> . How long does it take the object to fall 70 feet?

A) 5 seconds
B) 3 seconds
C) 1 second
D) 2 seconds
E) 4 seconds
Question
Solve the equation. Use factoring or the quadratic formula, whichever is appropriate. (Try factoring first. If you have any difficulty factoring, then go right to the quadratic formula.) <strong>Solve the equation. Use factoring or the quadratic formula, whichever is appropriate. (Try factoring first. If you have any difficulty factoring, then go right to the quadratic formula.)  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>

A) <strong>Solve the equation. Use factoring or the quadratic formula, whichever is appropriate. (Try factoring first. If you have any difficulty factoring, then go right to the quadratic formula.)  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Solve the equation. Use factoring or the quadratic formula, whichever is appropriate. (Try factoring first. If you have any difficulty factoring, then go right to the quadratic formula.)  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Solve the equation. Use factoring or the quadratic formula, whichever is appropriate. (Try factoring first. If you have any difficulty factoring, then go right to the quadratic formula.)  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Solve the equation. Use factoring or the quadratic formula, whichever is appropriate. (Try factoring first. If you have any difficulty factoring, then go right to the quadratic formula.)  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Solve the equation. Use factoring or the quadratic formula, whichever is appropriate. (Try factoring first. If you have any difficulty factoring, then go right to the quadratic formula.)  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
Question
Writing in 1829, former President James Madison made some predictions about the growth of the population of the United States. The populations he predicted fit the equation Writing in 1829, former President James Madison made some predictions about the growth of the population of the United States. The populations he predicted fit the equation   where y is the population in millions of people x years from 1829. Use the equation to determine the approximate year President Madison would have predicted that the U.S. population would reach 140,000,000. Round the answer to the nearest year.<div style=padding-top: 35px> where y is the population in millions of people x years from 1829. Use the equation to determine the approximate year President Madison would have predicted that the U.S. population would reach 140,000,000. Round the answer to the nearest year.
Question
Solve the equation. <strong>Solve the equation.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>

A) <strong>Solve the equation.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Solve the equation.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Solve the equation.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Solve the equation.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Solve the equation.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
Question
Look for the greatest common factor, then use the quadratic formula to find all solutions. <strong>Look for the greatest common factor, then use the quadratic formula to find all solutions.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>

A) <strong>Look for the greatest common factor, then use the quadratic formula to find all solutions.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Look for the greatest common factor, then use the quadratic formula to find all solutions.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Look for the greatest common factor, then use the quadratic formula to find all solutions.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Look for the greatest common factor, then use the quadratic formula to find all solutions.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Look for the greatest common factor, then use the quadratic formula to find all solutions.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
Question
Solve the equation. <strong>Solve the equation.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>

A) <strong>Solve the equation.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Solve the equation.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Solve the equation.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Solve the equation.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Solve the equation.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
Question
Look for the greatest common factor, then use the quadratic formula to find all solutions. <strong>Look for the greatest common factor, then use the quadratic formula to find all solutions.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>

A) <strong>Look for the greatest common factor, then use the quadratic formula to find all solutions.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Look for the greatest common factor, then use the quadratic formula to find all solutions.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Look for the greatest common factor, then use the quadratic formula to find all solutions.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Look for the greatest common factor, then use the quadratic formula to find all solutions.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Look for the greatest common factor, then use the quadratic formula to find all solutions.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
Question
An object is thrown downward with an initial velocity of 3 feet per second. The relationship between the distance s it travels and time t is given by An object is thrown downward with an initial velocity of 3 feet per second. The relationship between the distance s it travels and time t is given by   . How long does it take the object to fall 70 feet? __________ second(s)<div style=padding-top: 35px> . How long does it take the object to fall 70 feet? __________ second(s)
Question
Solve the equation. Use factoring or the quadratic formula, whichever is appropriate. (Try factoring first. If you have any difficulty factoring, then go right to the quadratic formula.) <strong>Solve the equation. Use factoring or the quadratic formula, whichever is appropriate. (Try factoring first. If you have any difficulty factoring, then go right to the quadratic formula.)  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>

A) <strong>Solve the equation. Use factoring or the quadratic formula, whichever is appropriate. (Try factoring first. If you have any difficulty factoring, then go right to the quadratic formula.)  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Solve the equation. Use factoring or the quadratic formula, whichever is appropriate. (Try factoring first. If you have any difficulty factoring, then go right to the quadratic formula.)  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Solve the equation. Use factoring or the quadratic formula, whichever is appropriate. (Try factoring first. If you have any difficulty factoring, then go right to the quadratic formula.)  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Solve the equation. Use factoring or the quadratic formula, whichever is appropriate. (Try factoring first. If you have any difficulty factoring, then go right to the quadratic formula.)  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Solve the equation. Use factoring or the quadratic formula, whichever is appropriate. (Try factoring first. If you have any difficulty factoring, then go right to the quadratic formula.)  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
Question
Solve the equation. Use factoring or the quadratic formula, whichever is appropriate. (Try factoring first. If you have any difficulty factoring, then go right to the quadratic formula.) <strong>Solve the equation. Use factoring or the quadratic formula, whichever is appropriate. (Try factoring first. If you have any difficulty factoring, then go right to the quadratic formula.)  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>

A) <strong>Solve the equation. Use factoring or the quadratic formula, whichever is appropriate. (Try factoring first. If you have any difficulty factoring, then go right to the quadratic formula.)  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Solve the equation. Use factoring or the quadratic formula, whichever is appropriate. (Try factoring first. If you have any difficulty factoring, then go right to the quadratic formula.)  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Solve the equation. Use factoring or the quadratic formula, whichever is appropriate. (Try factoring first. If you have any difficulty factoring, then go right to the quadratic formula.)  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Solve the equation. Use factoring or the quadratic formula, whichever is appropriate. (Try factoring first. If you have any difficulty factoring, then go right to the quadratic formula.)  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Solve the equation. Use factoring or the quadratic formula, whichever is appropriate. (Try factoring first. If you have any difficulty factoring, then go right to the quadratic formula.)  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
Question
Multiply both sides of the equation by their LCD. Then solve the resulting equation. <strong>Multiply both sides of the equation by their LCD. Then solve the resulting equation.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>

A) <strong>Multiply both sides of the equation by their LCD. Then solve the resulting equation.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Multiply both sides of the equation by their LCD. Then solve the resulting equation.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Multiply both sides of the equation by their LCD. Then solve the resulting equation.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Multiply both sides of the equation by their LCD. Then solve the resulting equation.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Multiply both sides of the equation by their LCD. Then solve the resulting equation.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
Question
Find the value of <strong>Find the value of   when  </strong> A) 1 B) 196 C) - 196 D) - 164 E) 164 <div style=padding-top: 35px> when <strong>Find the value of   when  </strong> A) 1 B) 196 C) - 196 D) - 164 E) 164 <div style=padding-top: 35px>

A) 1
B) 196
C) - 196
D) - 164
E) 164
Question
Solve the equation. Use factoring or the quadratic formula, whichever is appropriate. (Try factoring first. If you have any difficulty factoring, then go right to the quadratic formula.) <strong>Solve the equation. Use factoring or the quadratic formula, whichever is appropriate. (Try factoring first. If you have any difficulty factoring, then go right to the quadratic formula.)  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>

A) <strong>Solve the equation. Use factoring or the quadratic formula, whichever is appropriate. (Try factoring first. If you have any difficulty factoring, then go right to the quadratic formula.)  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Solve the equation. Use factoring or the quadratic formula, whichever is appropriate. (Try factoring first. If you have any difficulty factoring, then go right to the quadratic formula.)  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Solve the equation. Use factoring or the quadratic formula, whichever is appropriate. (Try factoring first. If you have any difficulty factoring, then go right to the quadratic formula.)  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Solve the equation. Use factoring or the quadratic formula, whichever is appropriate. (Try factoring first. If you have any difficulty factoring, then go right to the quadratic formula.)  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Solve the equation. Use factoring or the quadratic formula, whichever is appropriate. (Try factoring first. If you have any difficulty factoring, then go right to the quadratic formula.)  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
Question
Solve the equation. Use factoring or the quadratic formula, whichever is appropriate. (Try factoring first. If you have any difficulty factoring, then go right to the quadratic formula.) Solve the equation. Use factoring or the quadratic formula, whichever is appropriate. (Try factoring first. If you have any difficulty factoring, then go right to the quadratic formula.)   x = __________<div style=padding-top: 35px> x = __________
Question
Multiply both sides of the equation by their LCD. Then solve the resulting equation. Multiply both sides of the equation by their LCD. Then solve the resulting equation.   r = __________<div style=padding-top: 35px> r = __________
Question
Solve the equation using the quadratic formula. Solve the equation using the quadratic formula.   x = __________<div style=padding-top: 35px> x = __________
Question
Look for the greatest common factor, then use the quadratic formula to find all solutions. Look for the greatest common factor, then use the quadratic formula to find all solutions.   y = __________<div style=padding-top: 35px> y = __________
Question
Use the discriminant to find the number and kind of solutions for the following equation. <strong>Use the discriminant to find the number and kind of solutions for the following equation.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>

A) <strong>Use the discriminant to find the number and kind of solutions for the following equation.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Use the discriminant to find the number and kind of solutions for the following equation.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Use the discriminant to find the number and kind of solutions for the following equation.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Use the discriminant to find the number and kind of solutions for the following equation.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Use the discriminant to find the number and kind of solutions for the following equation.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
Question
Use the discriminant to find the number and kind of solutions for the following equation. <strong>Use the discriminant to find the number and kind of solutions for the following equation.  </strong> A) D = 30, two irrational B) D = - 16, two complex C) D = 24, two rational D) D = 25, two rational E) D = 0, one rational <div style=padding-top: 35px>

A) D = 30, two irrational
B) D = - 16, two complex
C) D = 24, two rational
D) D = 25, two rational
E) D = 0, one rational
Question
Solve the equation. Use factoring or the quadratic formula, whichever is appropriate. (Try factoring first. If you have any difficulty factoring, then go right to the quadratic formula.) Solve the equation. Use factoring or the quadratic formula, whichever is appropriate. (Try factoring first. If you have any difficulty factoring, then go right to the quadratic formula.)   r = __________<div style=padding-top: 35px> r = __________
Question
Use the discriminant to find the number and kind of solutions for the following equation. <strong>Use the discriminant to find the number and kind of solutions for the following equation.  </strong> A) D = 0, one rational B) D = 30, two irrational C) D = - 25, two complex D) D = - 30, two complex E) D = 25, two rational <div style=padding-top: 35px>

A) D = 0, one rational
B) D = 30, two irrational
C) D = - 25, two complex
D) D = - 30, two complex
E) D = 25, two rational
Question
Multiply both sides of the equation by their LCD. Then solve the resulting equation. Multiply both sides of the equation by their LCD. Then solve the resulting equation.   y = __________<div style=padding-top: 35px> y = __________
Question
Solve the equation. Solve the equation.   x = __________<div style=padding-top: 35px> x = __________
Question
Use the discriminant to find the number and kind of solutions for the following equation. <strong>Use the discriminant to find the number and kind of solutions for the following equation.  </strong> A) D = - 9, two complex B) D = 9, two rational C) D = 0, one rational D) D = 41, two irrational E) D = - 41, two complex <div style=padding-top: 35px>

A) D = - 9, two complex
B) D = 9, two rational
C) D = 0, one rational
D) D = 41, two irrational
E) D = - 41, two complex
Question
Use the discriminant to find the number and kind of solutions for the following equation. <strong>Use the discriminant to find the number and kind of solutions for the following equation.  </strong> A) D = -9, two complex B) D = - 3, two complex C) D = 0, one rational D) D = 9, two rational E) D = 3, two irrational <div style=padding-top: 35px>

A) D = -9, two complex
B) D = - 3, two complex
C) D = 0, one rational
D) D = 9, two rational
E) D = 3, two irrational
Question
Look for the greatest common factor, then use the quadratic formula to find all solutions. Look for the greatest common factor, then use the quadratic formula to find all solutions.   t = __________<div style=padding-top: 35px> t = __________
Question
Use the discriminant to find the number and kind of solutions for the following equation. <strong>Use the discriminant to find the number and kind of solutions for the following equation.  </strong> A) D = - 9, two complex B) D = 9, two rational C) D = - 13, two complex D) D = 0, one rational E) D = 13, two irrational <div style=padding-top: 35px>

A) D = - 9, two complex
B) D = 9, two rational
C) D = - 13, two complex
D) D = 0, one rational
E) D = 13, two irrational
Question
Solve the equation. Use factoring or the quadratic formula, whichever is appropriate. (Try factoring first. If you have any difficulty factoring, then go right to the quadratic formula.) Solve the equation. Use factoring or the quadratic formula, whichever is appropriate. (Try factoring first. If you have any difficulty factoring, then go right to the quadratic formula.)   x = __________<div style=padding-top: 35px> x = __________
Question
Solve the equation. Use factoring or the quadratic formula, whichever is appropriate. (Try factoring first. If you have any difficulty factoring, then go right to the quadratic formula.) Solve the equation. Use factoring or the quadratic formula, whichever is appropriate. (Try factoring first. If you have any difficulty factoring, then go right to the quadratic formula.)   x = __________<div style=padding-top: 35px> x = __________
Question
Solve the equation. Use factoring or the quadratic formula, whichever is appropriate. (Try factoring first. If you have any difficulty factoring, then go right to the quadratic formula.) Solve the equation. Use factoring or the quadratic formula, whichever is appropriate. (Try factoring first. If you have any difficulty factoring, then go right to the quadratic formula.)   x = __________<div style=padding-top: 35px> x = __________
Question
The total cost (in dollars) for a company to manufacture and sell x items per week is The total cost (in dollars) for a company to manufacture and sell x items per week is   , whereas the revenue brought in by selling all x items is   . How many items must be sold to obtain a weekly profit of $300? __________ items<div style=padding-top: 35px> , whereas the revenue brought in by selling all x items is The total cost (in dollars) for a company to manufacture and sell x items per week is   , whereas the revenue brought in by selling all x items is   . How many items must be sold to obtain a weekly profit of $300? __________ items<div style=padding-top: 35px> . How many items must be sold to obtain a weekly profit of $300? __________ items
Question
Solve the equation. Solve the equation.   t = __________<div style=padding-top: 35px> t = __________
Question
Solve the equation. Use factoring or the quadratic formula, whichever is appropriate. (Try factoring first. If you have any difficulty factoring, then go right to the quadratic formula.) Solve the equation. Use factoring or the quadratic formula, whichever is appropriate. (Try factoring first. If you have any difficulty factoring, then go right to the quadratic formula.)   x = __________<div style=padding-top: 35px> x = __________
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Deck 10: Completing the Square
1
Solve the following quadratic equation by completing the square. <strong>Solve the following quadratic equation by completing the square.  </strong> A)   B)   C)   D)   E)

A) <strong>Solve the following quadratic equation by completing the square.  </strong> A)   B)   C)   D)   E)
B) <strong>Solve the following quadratic equation by completing the square.  </strong> A)   B)   C)   D)   E)
C) <strong>Solve the following quadratic equation by completing the square.  </strong> A)   B)   C)   D)   E)
D) <strong>Solve the following quadratic equation by completing the square.  </strong> A)   B)   C)   D)   E)
E) <strong>Solve the following quadratic equation by completing the square.  </strong> A)   B)   C)   D)   E)
C
2
Fill in the blanks so that the left side is a perfect square trinomial; that is, complete the square. <strong>Fill in the blanks so that the left side is a perfect square trinomial; that is, complete the square.   _____   _____  </strong> A)   B)   C)   D)   E)   _____ <strong>Fill in the blanks so that the left side is a perfect square trinomial; that is, complete the square.   _____   _____  </strong> A)   B)   C)   D)   E)   _____ <strong>Fill in the blanks so that the left side is a perfect square trinomial; that is, complete the square.   _____   _____  </strong> A)   B)   C)   D)   E)

A) <strong>Fill in the blanks so that the left side is a perfect square trinomial; that is, complete the square.   _____   _____  </strong> A)   B)   C)   D)   E)
B) <strong>Fill in the blanks so that the left side is a perfect square trinomial; that is, complete the square.   _____   _____  </strong> A)   B)   C)   D)   E)
C) <strong>Fill in the blanks so that the left side is a perfect square trinomial; that is, complete the square.   _____   _____  </strong> A)   B)   C)   D)   E)
D) <strong>Fill in the blanks so that the left side is a perfect square trinomial; that is, complete the square.   _____   _____  </strong> A)   B)   C)   D)   E)
E) <strong>Fill in the blanks so that the left side is a perfect square trinomial; that is, complete the square.   _____   _____  </strong> A)   B)   C)   D)   E)
D
3
Solve the equation. <strong>Solve the equation.  </strong> A)   B)   C)   D)   E)

A) <strong>Solve the equation.  </strong> A)   B)   C)   D)   E)
B) <strong>Solve the equation.  </strong> A)   B)   C)   D)   E)
C) <strong>Solve the equation.  </strong> A)   B)   C)   D)   E)
D) <strong>Solve the equation.  </strong> A)   B)   C)   D)   E)
E) <strong>Solve the equation.  </strong> A)   B)   C)   D)   E)
C
4
Suppose a deposit of $3,500 in a savings account that paid an annual interest rate <strong>Suppose a deposit of $3,500 in a savings account that paid an annual interest rate   (compounded yearly) is worth $3,977 after 2 years. Using the formula   , we have   Solve for r to find the annual interest rate. Round the answer to the nearest tenth.</strong> A)   B)   C)   D)   E)   (compounded yearly) is worth $3,977 after 2 years. Using the formula <strong>Suppose a deposit of $3,500 in a savings account that paid an annual interest rate   (compounded yearly) is worth $3,977 after 2 years. Using the formula   , we have   Solve for r to find the annual interest rate. Round the answer to the nearest tenth.</strong> A)   B)   C)   D)   E)   , we have <strong>Suppose a deposit of $3,500 in a savings account that paid an annual interest rate   (compounded yearly) is worth $3,977 after 2 years. Using the formula   , we have   Solve for r to find the annual interest rate. Round the answer to the nearest tenth.</strong> A)   B)   C)   D)   E)   Solve for r to find the annual interest rate. Round the answer to the nearest tenth.

A) <strong>Suppose a deposit of $3,500 in a savings account that paid an annual interest rate   (compounded yearly) is worth $3,977 after 2 years. Using the formula   , we have   Solve for r to find the annual interest rate. Round the answer to the nearest tenth.</strong> A)   B)   C)   D)   E)
B) <strong>Suppose a deposit of $3,500 in a savings account that paid an annual interest rate   (compounded yearly) is worth $3,977 after 2 years. Using the formula   , we have   Solve for r to find the annual interest rate. Round the answer to the nearest tenth.</strong> A)   B)   C)   D)   E)
C) <strong>Suppose a deposit of $3,500 in a savings account that paid an annual interest rate   (compounded yearly) is worth $3,977 after 2 years. Using the formula   , we have   Solve for r to find the annual interest rate. Round the answer to the nearest tenth.</strong> A)   B)   C)   D)   E)
D) <strong>Suppose a deposit of $3,500 in a savings account that paid an annual interest rate   (compounded yearly) is worth $3,977 after 2 years. Using the formula   , we have   Solve for r to find the annual interest rate. Round the answer to the nearest tenth.</strong> A)   B)   C)   D)   E)
E) <strong>Suppose a deposit of $3,500 in a savings account that paid an annual interest rate   (compounded yearly) is worth $3,977 after 2 years. Using the formula   , we have   Solve for r to find the annual interest rate. Round the answer to the nearest tenth.</strong> A)   B)   C)   D)   E)
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5
Solve the following quadratic equation by completing the square. <strong>Solve the following quadratic equation by completing the square.  </strong> A)   B)   C)   D)   E)

A) <strong>Solve the following quadratic equation by completing the square.  </strong> A)   B)   C)   D)   E)
B) <strong>Solve the following quadratic equation by completing the square.  </strong> A)   B)   C)   D)   E)
C) <strong>Solve the following quadratic equation by completing the square.  </strong> A)   B)   C)   D)   E)
D) <strong>Solve the following quadratic equation by completing the square.  </strong> A)   B)   C)   D)   E)
E) <strong>Solve the following quadratic equation by completing the square.  </strong> A)   B)   C)   D)   E)
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6
Fill in the blanks so that the left side of each is a perfect square trinomial; that is, complete the square. <strong>Fill in the blanks so that the left side of each is a perfect square trinomial; that is, complete the square.   _____   _____  </strong> A)   B)   C)   D)   E)   _____ <strong>Fill in the blanks so that the left side of each is a perfect square trinomial; that is, complete the square.   _____   _____  </strong> A)   B)   C)   D)   E)   _____ <strong>Fill in the blanks so that the left side of each is a perfect square trinomial; that is, complete the square.   _____   _____  </strong> A)   B)   C)   D)   E)

A) <strong>Fill in the blanks so that the left side of each is a perfect square trinomial; that is, complete the square.   _____   _____  </strong> A)   B)   C)   D)   E)
B) <strong>Fill in the blanks so that the left side of each is a perfect square trinomial; that is, complete the square.   _____   _____  </strong> A)   B)   C)   D)   E)
C) <strong>Fill in the blanks so that the left side of each is a perfect square trinomial; that is, complete the square.   _____   _____  </strong> A)   B)   C)   D)   E)
D) <strong>Fill in the blanks so that the left side of each is a perfect square trinomial; that is, complete the square.   _____   _____  </strong> A)   B)   C)   D)   E)
E) <strong>Fill in the blanks so that the left side of each is a perfect square trinomial; that is, complete the square.   _____   _____  </strong> A)   B)   C)   D)   E)
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7
Fill in the blanks so that the left side is a perfect square trinomial; that is, complete the square. <strong>Fill in the blanks so that the left side is a perfect square trinomial; that is, complete the square.   _____   _____  </strong> A)   B)   C)   D)   E)   _____ <strong>Fill in the blanks so that the left side is a perfect square trinomial; that is, complete the square.   _____   _____  </strong> A)   B)   C)   D)   E)   _____ <strong>Fill in the blanks so that the left side is a perfect square trinomial; that is, complete the square.   _____   _____  </strong> A)   B)   C)   D)   E)

A) <strong>Fill in the blanks so that the left side is a perfect square trinomial; that is, complete the square.   _____   _____  </strong> A)   B)   C)   D)   E)
B) <strong>Fill in the blanks so that the left side is a perfect square trinomial; that is, complete the square.   _____   _____  </strong> A)   B)   C)   D)   E)
C) <strong>Fill in the blanks so that the left side is a perfect square trinomial; that is, complete the square.   _____   _____  </strong> A)   B)   C)   D)   E)
D) <strong>Fill in the blanks so that the left side is a perfect square trinomial; that is, complete the square.   _____   _____  </strong> A)   B)   C)   D)   E)
E) <strong>Fill in the blanks so that the left side is a perfect square trinomial; that is, complete the square.   _____   _____  </strong> A)   B)   C)   D)   E)
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8
In the figure below, triangle ABC has angles <strong>In the figure below, triangle ABC has angles   and   and height k . Find the lengths of sides AB , BC , and AC , in terms of k .  </strong> A)   B)   C)   D)   E)   and <strong>In the figure below, triangle ABC has angles   and   and height k . Find the lengths of sides AB , BC , and AC , in terms of k .  </strong> A)   B)   C)   D)   E)   and height k . Find the lengths of sides AB , BC , and AC , in terms of k . <strong>In the figure below, triangle ABC has angles   and   and height k . Find the lengths of sides AB , BC , and AC , in terms of k .  </strong> A)   B)   C)   D)   E)

A) <strong>In the figure below, triangle ABC has angles   and   and height k . Find the lengths of sides AB , BC , and AC , in terms of k .  </strong> A)   B)   C)   D)   E)
B) <strong>In the figure below, triangle ABC has angles   and   and height k . Find the lengths of sides AB , BC , and AC , in terms of k .  </strong> A)   B)   C)   D)   E)
C) <strong>In the figure below, triangle ABC has angles   and   and height k . Find the lengths of sides AB , BC , and AC , in terms of k .  </strong> A)   B)   C)   D)   E)
D) <strong>In the figure below, triangle ABC has angles   and   and height k . Find the lengths of sides AB , BC , and AC , in terms of k .  </strong> A)   B)   C)   D)   E)
E) <strong>In the figure below, triangle ABC has angles   and   and height k . Find the lengths of sides AB , BC , and AC , in terms of k .  </strong> A)   B)   C)   D)   E)
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9
Solve the following quadratic equation by completing the square. <strong>Solve the following quadratic equation by completing the square.  </strong> A)   B)   C)   D)   E)

A) <strong>Solve the following quadratic equation by completing the square.  </strong> A)   B)   C)   D)   E)
B) <strong>Solve the following quadratic equation by completing the square.  </strong> A)   B)   C)   D)   E)
C) <strong>Solve the following quadratic equation by completing the square.  </strong> A)   B)   C)   D)   E)
D) <strong>Solve the following quadratic equation by completing the square.  </strong> A)   B)   C)   D)   E)
E) <strong>Solve the following quadratic equation by completing the square.  </strong> A)   B)   C)   D)   E)
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10
Solve the equation. <strong>Solve the equation.  </strong> A)   B)   C)   D)   E)

A) <strong>Solve the equation.  </strong> A)   B)   C)   D)   E)
B) <strong>Solve the equation.  </strong> A)   B)   C)   D)   E)
C) <strong>Solve the equation.  </strong> A)   B)   C)   D)   E)
D) <strong>Solve the equation.  </strong> A)   B)   C)   D)   E)
E) <strong>Solve the equation.  </strong> A)   B)   C)   D)   E)
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11
Solve the equation. <strong>Solve the equation.  </strong> A)   B)   C)   D)   E)

A) <strong>Solve the equation.  </strong> A)   B)   C)   D)   E)
B) <strong>Solve the equation.  </strong> A)   B)   C)   D)   E)
C) <strong>Solve the equation.  </strong> A)   B)   C)   D)   E)
D) <strong>Solve the equation.  </strong> A)   B)   C)   D)   E)
E) <strong>Solve the equation.  </strong> A)   B)   C)   D)   E)
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12
Solve the following quadratic equation by completing the square. <strong>Solve the following quadratic equation by completing the square.  </strong> A)   B)   C)   D)   E)

A) <strong>Solve the following quadratic equation by completing the square.  </strong> A)   B)   C)   D)   E)
B) <strong>Solve the following quadratic equation by completing the square.  </strong> A)   B)   C)   D)   E)
C) <strong>Solve the following quadratic equation by completing the square.  </strong> A)   B)   C)   D)   E)
D) <strong>Solve the following quadratic equation by completing the square.  </strong> A)   B)   C)   D)   E)
E) <strong>Solve the following quadratic equation by completing the square.  </strong> A)   B)   C)   D)   E)
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13
Fill in the blanks so that the left side is a perfect square trinomial; that is, complete the square. <strong>Fill in the blanks so that the left side is a perfect square trinomial; that is, complete the square.   _____   _____  </strong> A)   B)   C)   D)   E)   _____ <strong>Fill in the blanks so that the left side is a perfect square trinomial; that is, complete the square.   _____   _____  </strong> A)   B)   C)   D)   E)   _____ <strong>Fill in the blanks so that the left side is a perfect square trinomial; that is, complete the square.   _____   _____  </strong> A)   B)   C)   D)   E)

A) <strong>Fill in the blanks so that the left side is a perfect square trinomial; that is, complete the square.   _____   _____  </strong> A)   B)   C)   D)   E)
B) <strong>Fill in the blanks so that the left side is a perfect square trinomial; that is, complete the square.   _____   _____  </strong> A)   B)   C)   D)   E)
C) <strong>Fill in the blanks so that the left side is a perfect square trinomial; that is, complete the square.   _____   _____  </strong> A)   B)   C)   D)   E)
D) <strong>Fill in the blanks so that the left side is a perfect square trinomial; that is, complete the square.   _____   _____  </strong> A)   B)   C)   D)   E)
E) <strong>Fill in the blanks so that the left side is a perfect square trinomial; that is, complete the square.   _____   _____  </strong> A)   B)   C)   D)   E)
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14
Solve the equation. <strong>Solve the equation.  </strong> A)   B)   C)   D)   E)

A) <strong>Solve the equation.  </strong> A)   B)   C)   D)   E)
B) <strong>Solve the equation.  </strong> A)   B)   C)   D)   E)
C) <strong>Solve the equation.  </strong> A)   B)   C)   D)   E)
D) <strong>Solve the equation.  </strong> A)   B)   C)   D)   E)
E) <strong>Solve the equation.  </strong> A)   B)   C)   D)   E)
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15
If the length of the shorter sides of a <strong>If the length of the shorter sides of a   triangle is   , find the length of the hypotenuse, in terms of   .  </strong> A)   B)   C)   D)   E)   triangle is <strong>If the length of the shorter sides of a   triangle is   , find the length of the hypotenuse, in terms of   .  </strong> A)   B)   C)   D)   E)   , find the length of the hypotenuse, in terms of <strong>If the length of the shorter sides of a   triangle is   , find the length of the hypotenuse, in terms of   .  </strong> A)   B)   C)   D)   E)   . <strong>If the length of the shorter sides of a   triangle is   , find the length of the hypotenuse, in terms of   .  </strong> A)   B)   C)   D)   E)

A) <strong>If the length of the shorter sides of a   triangle is   , find the length of the hypotenuse, in terms of   .  </strong> A)   B)   C)   D)   E)
B) <strong>If the length of the shorter sides of a   triangle is   , find the length of the hypotenuse, in terms of   .  </strong> A)   B)   C)   D)   E)
C) <strong>If the length of the shorter sides of a   triangle is   , find the length of the hypotenuse, in terms of   .  </strong> A)   B)   C)   D)   E)
D) <strong>If the length of the shorter sides of a   triangle is   , find the length of the hypotenuse, in terms of   .  </strong> A)   B)   C)   D)   E)
E) <strong>If the length of the shorter sides of a   triangle is   , find the length of the hypotenuse, in terms of   .  </strong> A)   B)   C)   D)   E)
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16
Solve the following quadratic equation by completing the square. <strong>Solve the following quadratic equation by completing the square.  </strong> A)   B)   C)   D)   E)

A) <strong>Solve the following quadratic equation by completing the square.  </strong> A)   B)   C)   D)   E)
B) <strong>Solve the following quadratic equation by completing the square.  </strong> A)   B)   C)   D)   E)
C) <strong>Solve the following quadratic equation by completing the square.  </strong> A)   B)   C)   D)   E)
D) <strong>Solve the following quadratic equation by completing the square.  </strong> A)   B)   C)   D)   E)
E) <strong>Solve the following quadratic equation by completing the square.  </strong> A)   B)   C)   D)   E)
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17
Solve the equation. <strong>Solve the equation.  </strong> A)   B)   C)   D)   E)

A) <strong>Solve the equation.  </strong> A)   B)   C)   D)   E)
B) <strong>Solve the equation.  </strong> A)   B)   C)   D)   E)
C) <strong>Solve the equation.  </strong> A)   B)   C)   D)   E)
D) <strong>Solve the equation.  </strong> A)   B)   C)   D)   E)
E) <strong>Solve the equation.  </strong> A)   B)   C)   D)   E)
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18
Solve the following quadratic equation by completing the square. <strong>Solve the following quadratic equation by completing the square.  </strong> A)   B)   C)   D)   E)

A) <strong>Solve the following quadratic equation by completing the square.  </strong> A)   B)   C)   D)   E)
B) <strong>Solve the following quadratic equation by completing the square.  </strong> A)   B)   C)   D)   E)
C) <strong>Solve the following quadratic equation by completing the square.  </strong> A)   B)   C)   D)   E)
D) <strong>Solve the following quadratic equation by completing the square.  </strong> A)   B)   C)   D)   E)
E) <strong>Solve the following quadratic equation by completing the square.  </strong> A)   B)   C)   D)   E)
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19
Solve the equation. <strong>Solve the equation.  </strong> A)   B)   C)   D)   E)

A) <strong>Solve the equation.  </strong> A)   B)   C)   D)   E)
B) <strong>Solve the equation.  </strong> A)   B)   C)   D)   E)
C) <strong>Solve the equation.  </strong> A)   B)   C)   D)   E)
D) <strong>Solve the equation.  </strong> A)   B)   C)   D)   E)
E) <strong>Solve the equation.  </strong> A)   B)   C)   D)   E)
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20
Simplify. <strong>Simplify.  </strong> A) 7 B) 3 C) 1 D) 9 E) 5

A) 7
B) 3
C) 1
D) 9
E) 5
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21
Solve the following quadratic equation by completing the square. Solve the following quadratic equation by completing the square.   a = __________ a = __________
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22
Solve the equation using the quadratic formula. <strong>Solve the equation using the quadratic formula.  </strong> A)   B)   C)   D)   E)

A) <strong>Solve the equation using the quadratic formula.  </strong> A)   B)   C)   D)   E)
B) <strong>Solve the equation using the quadratic formula.  </strong> A)   B)   C)   D)   E)
C) <strong>Solve the equation using the quadratic formula.  </strong> A)   B)   C)   D)   E)
D) <strong>Solve the equation using the quadratic formula.  </strong> A)   B)   C)   D)   E)
E) <strong>Solve the equation using the quadratic formula.  </strong> A)   B)   C)   D)   E)
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23
Fill in the blanks so that the left side is a perfect square trinomial; that is, complete the square. Fill in the blanks so that the left side is a perfect square trinomial; that is, complete the square.   _____   _____  _____ Fill in the blanks so that the left side is a perfect square trinomial; that is, complete the square.   _____   _____  _____ Fill in the blanks so that the left side is a perfect square trinomial; that is, complete the square.   _____   _____
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24
Simplify. Simplify.
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25
Solve the equation. Solve the equation.   x = __________ x = __________
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26
Solve the following quadratic equation by completing the square. Solve the following quadratic equation by completing the square.   x = __________ x = __________
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27
If the length of the shorter sides of a If the length of the shorter sides of a   triangle is x , find the length of the hypotenuse, in terms of x .  triangle is x , find the length of the hypotenuse, in terms of x . If the length of the shorter sides of a   triangle is x , find the length of the hypotenuse, in terms of x .
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28
Solve the following quadratic equation by completing the square. Solve the following quadratic equation by completing the square.   a = __________ a = __________
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29
Fill in the blanks so that the left side is a perfect square trinomial; that is, complete the square. Fill in the blanks so that the left side is a perfect square trinomial; that is, complete the square.   _____   _____  _____ Fill in the blanks so that the left side is a perfect square trinomial; that is, complete the square.   _____   _____  _____ Fill in the blanks so that the left side is a perfect square trinomial; that is, complete the square.   _____   _____
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30
Solve the following quadratic equation by completing the square. Solve the following quadratic equation by completing the square.   x = __________ x = __________
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31
Solve the following quadratic equation by completing the square. Solve the following quadratic equation by completing the square.   x = __________ x = __________
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32
Solve the equation. Solve the equation.   x = __________ x = __________
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33
Solve the equation. Solve the equation.   x = __________ x = __________
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34
Solve the equation. Solve the equation.   y = __________ y = __________
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35
Fill in the blanks so that the left side is a perfect square trinomial; that is, complete the square. Fill in the blanks so that the left side is a perfect square trinomial; that is, complete the square.   _____   _____  _____ Fill in the blanks so that the left side is a perfect square trinomial; that is, complete the square.   _____   _____  _____ Fill in the blanks so that the left side is a perfect square trinomial; that is, complete the square.   _____   _____
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36
Solve the following quadratic equation by completing the square. Solve the following quadratic equation by completing the square.   x = __________ x = __________
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37
Solve the equation. Solve the equation.   y = __________ y = __________
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38
Suppose a deposit of $3,500 in a savings account that paid an annual interest rate r (compounded yearly) is worth $4,098 after 2 years. Using the formula Suppose a deposit of $3,500 in a savings account that paid an annual interest rate r (compounded yearly) is worth $4,098 after 2 years. Using the formula   , we have   Solve for r to find the annual interest rate. Round the answer to the nearest tenth. r = __________% , we have Suppose a deposit of $3,500 in a savings account that paid an annual interest rate r (compounded yearly) is worth $4,098 after 2 years. Using the formula   , we have   Solve for r to find the annual interest rate. Round the answer to the nearest tenth. r = __________% Solve for r to find the annual interest rate. Round the answer to the nearest tenth. r = __________%
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39
Solve the equation. Solve the equation.   x = __________ x = __________
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40
Fill in the blanks so that the left side is a perfect square trinomial; that is, complete the square. Fill in the blanks so that the left side is a perfect square trinomial; that is, complete the square.   _____   _____  _____ Fill in the blanks so that the left side is a perfect square trinomial; that is, complete the square.   _____   _____  _____ Fill in the blanks so that the left side is a perfect square trinomial; that is, complete the square.   _____   _____
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41
Solve the equation. Use factoring or the quadratic formula, whichever is appropriate. (Try factoring first. If you have any difficulty factoring, then go right to the quadratic formula.) <strong>Solve the equation. Use factoring or the quadratic formula, whichever is appropriate. (Try factoring first. If you have any difficulty factoring, then go right to the quadratic formula.)  </strong> A)   B)   C)   D)   E)

A) <strong>Solve the equation. Use factoring or the quadratic formula, whichever is appropriate. (Try factoring first. If you have any difficulty factoring, then go right to the quadratic formula.)  </strong> A)   B)   C)   D)   E)
B) <strong>Solve the equation. Use factoring or the quadratic formula, whichever is appropriate. (Try factoring first. If you have any difficulty factoring, then go right to the quadratic formula.)  </strong> A)   B)   C)   D)   E)
C) <strong>Solve the equation. Use factoring or the quadratic formula, whichever is appropriate. (Try factoring first. If you have any difficulty factoring, then go right to the quadratic formula.)  </strong> A)   B)   C)   D)   E)
D) <strong>Solve the equation. Use factoring or the quadratic formula, whichever is appropriate. (Try factoring first. If you have any difficulty factoring, then go right to the quadratic formula.)  </strong> A)   B)   C)   D)   E)
E) <strong>Solve the equation. Use factoring or the quadratic formula, whichever is appropriate. (Try factoring first. If you have any difficulty factoring, then go right to the quadratic formula.)  </strong> A)   B)   C)   D)   E)
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42
Solve the equation using the quadratic formula. <strong>Solve the equation using the quadratic formula.  </strong> A)   B)   C)   D)   E)

A) <strong>Solve the equation using the quadratic formula.  </strong> A)   B)   C)   D)   E)
B) <strong>Solve the equation using the quadratic formula.  </strong> A)   B)   C)   D)   E)
C) <strong>Solve the equation using the quadratic formula.  </strong> A)   B)   C)   D)   E)
D) <strong>Solve the equation using the quadratic formula.  </strong> A)   B)   C)   D)   E)
E) <strong>Solve the equation using the quadratic formula.  </strong> A)   B)   C)   D)   E)
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43
Find the value of Find the value of   when  when Find the value of   when
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44
Solve the equation. Use factoring or the quadratic formula, whichever is appropriate. (Try factoring first. If you have any difficulty factoring, then go right to the quadratic formula.) <strong>Solve the equation. Use factoring or the quadratic formula, whichever is appropriate. (Try factoring first. If you have any difficulty factoring, then go right to the quadratic formula.)  </strong> A)   B)   C)   D)   E)

A) <strong>Solve the equation. Use factoring or the quadratic formula, whichever is appropriate. (Try factoring first. If you have any difficulty factoring, then go right to the quadratic formula.)  </strong> A)   B)   C)   D)   E)
B) <strong>Solve the equation. Use factoring or the quadratic formula, whichever is appropriate. (Try factoring first. If you have any difficulty factoring, then go right to the quadratic formula.)  </strong> A)   B)   C)   D)   E)
C) <strong>Solve the equation. Use factoring or the quadratic formula, whichever is appropriate. (Try factoring first. If you have any difficulty factoring, then go right to the quadratic formula.)  </strong> A)   B)   C)   D)   E)
D) <strong>Solve the equation. Use factoring or the quadratic formula, whichever is appropriate. (Try factoring first. If you have any difficulty factoring, then go right to the quadratic formula.)  </strong> A)   B)   C)   D)   E)
E) <strong>Solve the equation. Use factoring or the quadratic formula, whichever is appropriate. (Try factoring first. If you have any difficulty factoring, then go right to the quadratic formula.)  </strong> A)   B)   C)   D)   E)
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45
Writing in 1829, former President James Madison made some predictions about the growth of the population of the United States. The populations he predicted fit the equation <strong>Writing in 1829, former President James Madison made some predictions about the growth of the population of the United States. The populations he predicted fit the equation   where y is the population in millions of people x years from 1829. Use the equation to determine the approximate year President Madison would have predicted that the U.S. population would reach 100,000,000. Round answer to the nearest year.</strong> A) 1914 B) 1904 C) 1908 D) 1930 E) 1897 where y is the population in millions of people x years from 1829. Use the equation to determine the approximate year President Madison would have predicted that the U.S. population would reach 100,000,000. Round answer to the nearest year.

A) 1914
B) 1904
C) 1908
D) 1930
E) 1897
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46
The total cost (in dollars) for a company to manufacture and sell <strong>The total cost (in dollars) for a company to manufacture and sell   items per week is   , whereas the revenue brought in by selling all   items is   . How many items must be sold to obtain a weekly profit of $500?</strong> A) 40 or 80 items B) 10 or 110 items C) 50 items D) 70 items E) 70 or 80 items items per week is <strong>The total cost (in dollars) for a company to manufacture and sell   items per week is   , whereas the revenue brought in by selling all   items is   . How many items must be sold to obtain a weekly profit of $500?</strong> A) 40 or 80 items B) 10 or 110 items C) 50 items D) 70 items E) 70 or 80 items , whereas the revenue brought in by selling all <strong>The total cost (in dollars) for a company to manufacture and sell   items per week is   , whereas the revenue brought in by selling all   items is   . How many items must be sold to obtain a weekly profit of $500?</strong> A) 40 or 80 items B) 10 or 110 items C) 50 items D) 70 items E) 70 or 80 items items is <strong>The total cost (in dollars) for a company to manufacture and sell   items per week is   , whereas the revenue brought in by selling all   items is   . How many items must be sold to obtain a weekly profit of $500?</strong> A) 40 or 80 items B) 10 or 110 items C) 50 items D) 70 items E) 70 or 80 items . How many items must be sold to obtain a weekly profit of $500?

A) 40 or 80 items
B) 10 or 110 items
C) 50 items
D) 70 items
E) 70 or 80 items
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47
Multiply both sides of the equation by their LCD. Then solve the resulting equation. <strong>Multiply both sides of the equation by their LCD. Then solve the resulting equation.  </strong> A)   B)   C)   D)   E)

A) <strong>Multiply both sides of the equation by their LCD. Then solve the resulting equation.  </strong> A)   B)   C)   D)   E)
B) <strong>Multiply both sides of the equation by their LCD. Then solve the resulting equation.  </strong> A)   B)   C)   D)   E)
C) <strong>Multiply both sides of the equation by their LCD. Then solve the resulting equation.  </strong> A)   B)   C)   D)   E)
D) <strong>Multiply both sides of the equation by their LCD. Then solve the resulting equation.  </strong> A)   B)   C)   D)   E)
E) <strong>Multiply both sides of the equation by their LCD. Then solve the resulting equation.  </strong> A)   B)   C)   D)   E)
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48
An object is thrown downward with an initial velocity of 3 feet per second. The relationship between the distance s it travels and time t is given by <strong>An object is thrown downward with an initial velocity of 3 feet per second. The relationship between the distance s it travels and time t is given by   . How long does it take the object to fall 70 feet?</strong> A) 5 seconds B) 3 seconds C) 1 second D) 2 seconds E) 4 seconds . How long does it take the object to fall 70 feet?

A) 5 seconds
B) 3 seconds
C) 1 second
D) 2 seconds
E) 4 seconds
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49
Solve the equation. Use factoring or the quadratic formula, whichever is appropriate. (Try factoring first. If you have any difficulty factoring, then go right to the quadratic formula.) <strong>Solve the equation. Use factoring or the quadratic formula, whichever is appropriate. (Try factoring first. If you have any difficulty factoring, then go right to the quadratic formula.)  </strong> A)   B)   C)   D)   E)

A) <strong>Solve the equation. Use factoring or the quadratic formula, whichever is appropriate. (Try factoring first. If you have any difficulty factoring, then go right to the quadratic formula.)  </strong> A)   B)   C)   D)   E)
B) <strong>Solve the equation. Use factoring or the quadratic formula, whichever is appropriate. (Try factoring first. If you have any difficulty factoring, then go right to the quadratic formula.)  </strong> A)   B)   C)   D)   E)
C) <strong>Solve the equation. Use factoring or the quadratic formula, whichever is appropriate. (Try factoring first. If you have any difficulty factoring, then go right to the quadratic formula.)  </strong> A)   B)   C)   D)   E)
D) <strong>Solve the equation. Use factoring or the quadratic formula, whichever is appropriate. (Try factoring first. If you have any difficulty factoring, then go right to the quadratic formula.)  </strong> A)   B)   C)   D)   E)
E) <strong>Solve the equation. Use factoring or the quadratic formula, whichever is appropriate. (Try factoring first. If you have any difficulty factoring, then go right to the quadratic formula.)  </strong> A)   B)   C)   D)   E)
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50
Writing in 1829, former President James Madison made some predictions about the growth of the population of the United States. The populations he predicted fit the equation Writing in 1829, former President James Madison made some predictions about the growth of the population of the United States. The populations he predicted fit the equation   where y is the population in millions of people x years from 1829. Use the equation to determine the approximate year President Madison would have predicted that the U.S. population would reach 140,000,000. Round the answer to the nearest year. where y is the population in millions of people x years from 1829. Use the equation to determine the approximate year President Madison would have predicted that the U.S. population would reach 140,000,000. Round the answer to the nearest year.
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51
Solve the equation. <strong>Solve the equation.  </strong> A)   B)   C)   D)   E)

A) <strong>Solve the equation.  </strong> A)   B)   C)   D)   E)
B) <strong>Solve the equation.  </strong> A)   B)   C)   D)   E)
C) <strong>Solve the equation.  </strong> A)   B)   C)   D)   E)
D) <strong>Solve the equation.  </strong> A)   B)   C)   D)   E)
E) <strong>Solve the equation.  </strong> A)   B)   C)   D)   E)
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52
Look for the greatest common factor, then use the quadratic formula to find all solutions. <strong>Look for the greatest common factor, then use the quadratic formula to find all solutions.  </strong> A)   B)   C)   D)   E)

A) <strong>Look for the greatest common factor, then use the quadratic formula to find all solutions.  </strong> A)   B)   C)   D)   E)
B) <strong>Look for the greatest common factor, then use the quadratic formula to find all solutions.  </strong> A)   B)   C)   D)   E)
C) <strong>Look for the greatest common factor, then use the quadratic formula to find all solutions.  </strong> A)   B)   C)   D)   E)
D) <strong>Look for the greatest common factor, then use the quadratic formula to find all solutions.  </strong> A)   B)   C)   D)   E)
E) <strong>Look for the greatest common factor, then use the quadratic formula to find all solutions.  </strong> A)   B)   C)   D)   E)
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53
Solve the equation. <strong>Solve the equation.  </strong> A)   B)   C)   D)   E)

A) <strong>Solve the equation.  </strong> A)   B)   C)   D)   E)
B) <strong>Solve the equation.  </strong> A)   B)   C)   D)   E)
C) <strong>Solve the equation.  </strong> A)   B)   C)   D)   E)
D) <strong>Solve the equation.  </strong> A)   B)   C)   D)   E)
E) <strong>Solve the equation.  </strong> A)   B)   C)   D)   E)
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54
Look for the greatest common factor, then use the quadratic formula to find all solutions. <strong>Look for the greatest common factor, then use the quadratic formula to find all solutions.  </strong> A)   B)   C)   D)   E)

A) <strong>Look for the greatest common factor, then use the quadratic formula to find all solutions.  </strong> A)   B)   C)   D)   E)
B) <strong>Look for the greatest common factor, then use the quadratic formula to find all solutions.  </strong> A)   B)   C)   D)   E)
C) <strong>Look for the greatest common factor, then use the quadratic formula to find all solutions.  </strong> A)   B)   C)   D)   E)
D) <strong>Look for the greatest common factor, then use the quadratic formula to find all solutions.  </strong> A)   B)   C)   D)   E)
E) <strong>Look for the greatest common factor, then use the quadratic formula to find all solutions.  </strong> A)   B)   C)   D)   E)
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55
An object is thrown downward with an initial velocity of 3 feet per second. The relationship between the distance s it travels and time t is given by An object is thrown downward with an initial velocity of 3 feet per second. The relationship between the distance s it travels and time t is given by   . How long does it take the object to fall 70 feet? __________ second(s) . How long does it take the object to fall 70 feet? __________ second(s)
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56
Solve the equation. Use factoring or the quadratic formula, whichever is appropriate. (Try factoring first. If you have any difficulty factoring, then go right to the quadratic formula.) <strong>Solve the equation. Use factoring or the quadratic formula, whichever is appropriate. (Try factoring first. If you have any difficulty factoring, then go right to the quadratic formula.)  </strong> A)   B)   C)   D)   E)

A) <strong>Solve the equation. Use factoring or the quadratic formula, whichever is appropriate. (Try factoring first. If you have any difficulty factoring, then go right to the quadratic formula.)  </strong> A)   B)   C)   D)   E)
B) <strong>Solve the equation. Use factoring or the quadratic formula, whichever is appropriate. (Try factoring first. If you have any difficulty factoring, then go right to the quadratic formula.)  </strong> A)   B)   C)   D)   E)
C) <strong>Solve the equation. Use factoring or the quadratic formula, whichever is appropriate. (Try factoring first. If you have any difficulty factoring, then go right to the quadratic formula.)  </strong> A)   B)   C)   D)   E)
D) <strong>Solve the equation. Use factoring or the quadratic formula, whichever is appropriate. (Try factoring first. If you have any difficulty factoring, then go right to the quadratic formula.)  </strong> A)   B)   C)   D)   E)
E) <strong>Solve the equation. Use factoring or the quadratic formula, whichever is appropriate. (Try factoring first. If you have any difficulty factoring, then go right to the quadratic formula.)  </strong> A)   B)   C)   D)   E)
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57
Solve the equation. Use factoring or the quadratic formula, whichever is appropriate. (Try factoring first. If you have any difficulty factoring, then go right to the quadratic formula.) <strong>Solve the equation. Use factoring or the quadratic formula, whichever is appropriate. (Try factoring first. If you have any difficulty factoring, then go right to the quadratic formula.)  </strong> A)   B)   C)   D)   E)

A) <strong>Solve the equation. Use factoring or the quadratic formula, whichever is appropriate. (Try factoring first. If you have any difficulty factoring, then go right to the quadratic formula.)  </strong> A)   B)   C)   D)   E)
B) <strong>Solve the equation. Use factoring or the quadratic formula, whichever is appropriate. (Try factoring first. If you have any difficulty factoring, then go right to the quadratic formula.)  </strong> A)   B)   C)   D)   E)
C) <strong>Solve the equation. Use factoring or the quadratic formula, whichever is appropriate. (Try factoring first. If you have any difficulty factoring, then go right to the quadratic formula.)  </strong> A)   B)   C)   D)   E)
D) <strong>Solve the equation. Use factoring or the quadratic formula, whichever is appropriate. (Try factoring first. If you have any difficulty factoring, then go right to the quadratic formula.)  </strong> A)   B)   C)   D)   E)
E) <strong>Solve the equation. Use factoring or the quadratic formula, whichever is appropriate. (Try factoring first. If you have any difficulty factoring, then go right to the quadratic formula.)  </strong> A)   B)   C)   D)   E)
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58
Multiply both sides of the equation by their LCD. Then solve the resulting equation. <strong>Multiply both sides of the equation by their LCD. Then solve the resulting equation.  </strong> A)   B)   C)   D)   E)

A) <strong>Multiply both sides of the equation by their LCD. Then solve the resulting equation.  </strong> A)   B)   C)   D)   E)
B) <strong>Multiply both sides of the equation by their LCD. Then solve the resulting equation.  </strong> A)   B)   C)   D)   E)
C) <strong>Multiply both sides of the equation by their LCD. Then solve the resulting equation.  </strong> A)   B)   C)   D)   E)
D) <strong>Multiply both sides of the equation by their LCD. Then solve the resulting equation.  </strong> A)   B)   C)   D)   E)
E) <strong>Multiply both sides of the equation by their LCD. Then solve the resulting equation.  </strong> A)   B)   C)   D)   E)
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59
Find the value of <strong>Find the value of   when  </strong> A) 1 B) 196 C) - 196 D) - 164 E) 164 when <strong>Find the value of   when  </strong> A) 1 B) 196 C) - 196 D) - 164 E) 164

A) 1
B) 196
C) - 196
D) - 164
E) 164
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60
Solve the equation. Use factoring or the quadratic formula, whichever is appropriate. (Try factoring first. If you have any difficulty factoring, then go right to the quadratic formula.) <strong>Solve the equation. Use factoring or the quadratic formula, whichever is appropriate. (Try factoring first. If you have any difficulty factoring, then go right to the quadratic formula.)  </strong> A)   B)   C)   D)   E)

A) <strong>Solve the equation. Use factoring or the quadratic formula, whichever is appropriate. (Try factoring first. If you have any difficulty factoring, then go right to the quadratic formula.)  </strong> A)   B)   C)   D)   E)
B) <strong>Solve the equation. Use factoring or the quadratic formula, whichever is appropriate. (Try factoring first. If you have any difficulty factoring, then go right to the quadratic formula.)  </strong> A)   B)   C)   D)   E)
C) <strong>Solve the equation. Use factoring or the quadratic formula, whichever is appropriate. (Try factoring first. If you have any difficulty factoring, then go right to the quadratic formula.)  </strong> A)   B)   C)   D)   E)
D) <strong>Solve the equation. Use factoring or the quadratic formula, whichever is appropriate. (Try factoring first. If you have any difficulty factoring, then go right to the quadratic formula.)  </strong> A)   B)   C)   D)   E)
E) <strong>Solve the equation. Use factoring or the quadratic formula, whichever is appropriate. (Try factoring first. If you have any difficulty factoring, then go right to the quadratic formula.)  </strong> A)   B)   C)   D)   E)
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61
Solve the equation. Use factoring or the quadratic formula, whichever is appropriate. (Try factoring first. If you have any difficulty factoring, then go right to the quadratic formula.) Solve the equation. Use factoring or the quadratic formula, whichever is appropriate. (Try factoring first. If you have any difficulty factoring, then go right to the quadratic formula.)   x = __________ x = __________
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62
Multiply both sides of the equation by their LCD. Then solve the resulting equation. Multiply both sides of the equation by their LCD. Then solve the resulting equation.   r = __________ r = __________
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63
Solve the equation using the quadratic formula. Solve the equation using the quadratic formula.   x = __________ x = __________
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64
Look for the greatest common factor, then use the quadratic formula to find all solutions. Look for the greatest common factor, then use the quadratic formula to find all solutions.   y = __________ y = __________
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65
Use the discriminant to find the number and kind of solutions for the following equation. <strong>Use the discriminant to find the number and kind of solutions for the following equation.  </strong> A)   B)   C)   D)   E)

A) <strong>Use the discriminant to find the number and kind of solutions for the following equation.  </strong> A)   B)   C)   D)   E)
B) <strong>Use the discriminant to find the number and kind of solutions for the following equation.  </strong> A)   B)   C)   D)   E)
C) <strong>Use the discriminant to find the number and kind of solutions for the following equation.  </strong> A)   B)   C)   D)   E)
D) <strong>Use the discriminant to find the number and kind of solutions for the following equation.  </strong> A)   B)   C)   D)   E)
E) <strong>Use the discriminant to find the number and kind of solutions for the following equation.  </strong> A)   B)   C)   D)   E)
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66
Use the discriminant to find the number and kind of solutions for the following equation. <strong>Use the discriminant to find the number and kind of solutions for the following equation.  </strong> A) D = 30, two irrational B) D = - 16, two complex C) D = 24, two rational D) D = 25, two rational E) D = 0, one rational

A) D = 30, two irrational
B) D = - 16, two complex
C) D = 24, two rational
D) D = 25, two rational
E) D = 0, one rational
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67
Solve the equation. Use factoring or the quadratic formula, whichever is appropriate. (Try factoring first. If you have any difficulty factoring, then go right to the quadratic formula.) Solve the equation. Use factoring or the quadratic formula, whichever is appropriate. (Try factoring first. If you have any difficulty factoring, then go right to the quadratic formula.)   r = __________ r = __________
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k this deck
68
Use the discriminant to find the number and kind of solutions for the following equation. <strong>Use the discriminant to find the number and kind of solutions for the following equation.  </strong> A) D = 0, one rational B) D = 30, two irrational C) D = - 25, two complex D) D = - 30, two complex E) D = 25, two rational

A) D = 0, one rational
B) D = 30, two irrational
C) D = - 25, two complex
D) D = - 30, two complex
E) D = 25, two rational
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Unlock for access to all 187 flashcards in this deck.
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69
Multiply both sides of the equation by their LCD. Then solve the resulting equation. Multiply both sides of the equation by their LCD. Then solve the resulting equation.   y = __________ y = __________
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70
Solve the equation. Solve the equation.   x = __________ x = __________
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71
Use the discriminant to find the number and kind of solutions for the following equation. <strong>Use the discriminant to find the number and kind of solutions for the following equation.  </strong> A) D = - 9, two complex B) D = 9, two rational C) D = 0, one rational D) D = 41, two irrational E) D = - 41, two complex

A) D = - 9, two complex
B) D = 9, two rational
C) D = 0, one rational
D) D = 41, two irrational
E) D = - 41, two complex
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Unlock Deck
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72
Use the discriminant to find the number and kind of solutions for the following equation. <strong>Use the discriminant to find the number and kind of solutions for the following equation.  </strong> A) D = -9, two complex B) D = - 3, two complex C) D = 0, one rational D) D = 9, two rational E) D = 3, two irrational

A) D = -9, two complex
B) D = - 3, two complex
C) D = 0, one rational
D) D = 9, two rational
E) D = 3, two irrational
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73
Look for the greatest common factor, then use the quadratic formula to find all solutions. Look for the greatest common factor, then use the quadratic formula to find all solutions.   t = __________ t = __________
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74
Use the discriminant to find the number and kind of solutions for the following equation. <strong>Use the discriminant to find the number and kind of solutions for the following equation.  </strong> A) D = - 9, two complex B) D = 9, two rational C) D = - 13, two complex D) D = 0, one rational E) D = 13, two irrational

A) D = - 9, two complex
B) D = 9, two rational
C) D = - 13, two complex
D) D = 0, one rational
E) D = 13, two irrational
Unlock Deck
Unlock for access to all 187 flashcards in this deck.
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75
Solve the equation. Use factoring or the quadratic formula, whichever is appropriate. (Try factoring first. If you have any difficulty factoring, then go right to the quadratic formula.) Solve the equation. Use factoring or the quadratic formula, whichever is appropriate. (Try factoring first. If you have any difficulty factoring, then go right to the quadratic formula.)   x = __________ x = __________
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Unlock for access to all 187 flashcards in this deck.
Unlock Deck
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76
Solve the equation. Use factoring or the quadratic formula, whichever is appropriate. (Try factoring first. If you have any difficulty factoring, then go right to the quadratic formula.) Solve the equation. Use factoring or the quadratic formula, whichever is appropriate. (Try factoring first. If you have any difficulty factoring, then go right to the quadratic formula.)   x = __________ x = __________
Unlock Deck
Unlock for access to all 187 flashcards in this deck.
Unlock Deck
k this deck
77
Solve the equation. Use factoring or the quadratic formula, whichever is appropriate. (Try factoring first. If you have any difficulty factoring, then go right to the quadratic formula.) Solve the equation. Use factoring or the quadratic formula, whichever is appropriate. (Try factoring first. If you have any difficulty factoring, then go right to the quadratic formula.)   x = __________ x = __________
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Unlock for access to all 187 flashcards in this deck.
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78
The total cost (in dollars) for a company to manufacture and sell x items per week is The total cost (in dollars) for a company to manufacture and sell x items per week is   , whereas the revenue brought in by selling all x items is   . How many items must be sold to obtain a weekly profit of $300? __________ items , whereas the revenue brought in by selling all x items is The total cost (in dollars) for a company to manufacture and sell x items per week is   , whereas the revenue brought in by selling all x items is   . How many items must be sold to obtain a weekly profit of $300? __________ items . How many items must be sold to obtain a weekly profit of $300? __________ items
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79
Solve the equation. Solve the equation.   t = __________ t = __________
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80
Solve the equation. Use factoring or the quadratic formula, whichever is appropriate. (Try factoring first. If you have any difficulty factoring, then go right to the quadratic formula.) Solve the equation. Use factoring or the quadratic formula, whichever is appropriate. (Try factoring first. If you have any difficulty factoring, then go right to the quadratic formula.)   x = __________ x = __________
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Unlock Deck
Unlock for access to all 187 flashcards in this deck.