Deck 10: Completing the Square

ملء الشاشة (f)
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سؤال
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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سؤال
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>
سؤال
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>
سؤال
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>
سؤال
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>
سؤال
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>
سؤال
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>
سؤال
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>
سؤال
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>
سؤال
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>
سؤال
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>
سؤال
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>
سؤال
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>
سؤال
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>
سؤال
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>
سؤال
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>
سؤال
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>
سؤال
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>
سؤال
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>
سؤال
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
سؤال
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 = __________
سؤال
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>
سؤال
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>
سؤال
Simplify. Simplify.  <div style=padding-top: 35px>
سؤال
Solve the equation. Solve the equation.   x = __________<div style=padding-top: 35px> x = __________
سؤال
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 = __________
سؤال
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>
سؤال
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 = __________
سؤال
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>
سؤال
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 = __________
سؤال
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 = __________
سؤال
Solve the equation. Solve the equation.   x = __________<div style=padding-top: 35px> x = __________
سؤال
Solve the equation. Solve the equation.   x = __________<div style=padding-top: 35px> x = __________
سؤال
Solve the equation. Solve the equation.   y = __________<div style=padding-top: 35px> y = __________
سؤال
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>
سؤال
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 = __________
سؤال
Solve the equation. Solve the equation.   y = __________<div style=padding-top: 35px> y = __________
سؤال
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 = __________%
سؤال
Solve the equation. Solve the equation.   x = __________<div style=padding-top: 35px> x = __________
سؤال
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>
سؤال
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>
سؤال
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>
سؤال
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>
سؤال
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>
سؤال
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
سؤال
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
سؤال
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>
سؤال
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
سؤال
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>
سؤال
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.
سؤال
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>
سؤال
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>
سؤال
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>
سؤال
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>
سؤال
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)
سؤال
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>
سؤال
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>
سؤال
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>
سؤال
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
سؤال
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>
سؤال
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 = __________
سؤال
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 = __________
سؤال
Solve the equation using the quadratic formula. Solve the equation using the quadratic formula.   x = __________<div style=padding-top: 35px> x = __________
سؤال
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 = __________
سؤال
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>
سؤال
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
سؤال
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 = __________
سؤال
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
سؤال
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 = __________
سؤال
Solve the equation. Solve the equation.   x = __________<div style=padding-top: 35px> x = __________
سؤال
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
سؤال
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
سؤال
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 = __________
سؤال
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
سؤال
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 = __________
سؤال
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 = __________
سؤال
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 = __________
سؤال
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
سؤال
Solve the equation. Solve the equation.   t = __________<div style=padding-top: 35px> t = __________
سؤال
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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k this deck
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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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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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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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
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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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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 = __________
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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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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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