Solving Quadratic Equations: Factoring Answers

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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
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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
4

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

A
x = −10
B
x = −7
C
x = −4
D
x = −2
5

Two positive integers have a product of 176. One integer is 5 less than the other integer. Which equation can be used to find the value of x, the greater integer?

A
x2 + 5 = 176
B
x(x + 5) = 176
C
x(x – 5) = 176
D
x2 – 5 = 176
6

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
7

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
9

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
10

Which is a solution to (x – 3)(x + 9) = –27?

A
x = –9
B
x = –3
C
x = 0
D
x = 6

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