Solving Quadratic Equations: Factoring

Question 1

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

Revolt · Accepted Answer

x = 3

Question 2

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

Revolt · Accepted Answer

m(m – 3) = 108

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

The product of two consecutive integers is 420. An equation is written in standard form to solve for the smaller integer by factoring. What is the constant of the quadratic expression in this equation? x2 + x + = 0

Question 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?

Revolt · Accepted Answer

x(x – 5) = 176

Question 6

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

Revolt · Accepted Answer

-4 and 9

Question 7

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

Revolt · Accepted Answer

x = −10 and x = 4

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

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

Revolt · Accepted Answer

x = −7

Solving Quadratic Equations: Factoring Answers

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