AnswersIntegrated Math II FullCompleting the Square

Solving Quadratic Equations: Factoring Answers

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Which is a solution to the equation?(x −2)(x + 5) = 18

A
x = −10
B
x = −7
C
x = −4
D
x = −2
2
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For what values of x is x2 + 2x = 24 true?

A
–6 and –4
B
–4 and 6
C
4 and –6
D
6 and 4
3

John has 48 square centimeter tiles he wants to use to create a mosaic. He wants the mosaic to be rectangular with a length that is 2 centimeters longer than the width.

A
w(w – 2) = 48
B
w(w + 2) = 48
C
2w(w – 2) = 48
D
2w(w + 2) = 48
4

Two positive integers are 3 units apart on a number line. Their product is 108.

A
m(m – 3) = 108
B
m(m + 3) = 108
C
(m + 3)(m – 3) = 108
D
(m – 12)(m – 9) = 108
6

A square picture with a side length of 4 inches needs to be enlarged. The final area needs to be 81 square inches.

A
x2 + 4x – 81 = 0
B
x2 + 4x – 65 = 0
C
x2 + 8x – 65 = 0
D
x2 + 8x – 81 = 0
7

What are the solutions to the equation?x2 + 6x = 40

A
x = −10 and x = 4
B
x = −8 and x = 5
C
x = −5 and x = 8
D
x = −4 and x = 10
8

Two negative integers are 8 units apart on the number line and have a product of 308.Which equation could be used to determine x, the smaller negative integer?

A
x2 + 8x – 308 = 0
B
x2 – 8x + 308 = 0
C
x2 + 8x + 308 = 0
D
x2 − 8x − 308 = 0
9

For what values of x is x2-36=5x true?

A
-9 and -4
B
-4 and 9
C
4 and -9
D
9 and 4

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