Solving Quadratic Equations: Factoring

Question 1

Which is a solution to (x − 2)(x + 10) = 13?

Revolt · Accepted Answer

x = 3

Question 2

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

Revolt · Accepted Answer

-4 and 9

Question 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.

Revolt · Accepted Answer

w(w + 2) = 48

Question 4

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?

Revolt · Accepted Answer

x2 + 8x – 308 = 0

Question 5

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

Revolt · Accepted Answer

x = −10 and x = 4

Question 6

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

Revolt · Accepted Answer

m(m – 3) = 108

Question 7

For what values of x is x2 + 2x = 24 true?

Revolt · Accepted Answer

4 and –6

Question 8

The product of two consecutive negative integers is 600. What is the value of the lesser integer?

Revolt · Accepted Answer

–25

Question 9

What is the only solution of 2x2 + 8x = x2 – 16?

Revolt · Accepted Answer

-4

Question 10

What is the positive solution of x2 – 36 = 5x?

Revolt · Accepted Answer

9

Solving Quadratic Equations: Factoring Answers

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