Solving Quadratic Equations: Factoring

Question 1

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

Revolt · Accepted Answer

x2 + 8x – 65 = 0

Question 2

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 3

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 4

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

Revolt · Accepted Answer

-4 and 9

Question 5

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

Revolt · Accepted Answer

x = 0

Question 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.

Revolt · Accepted Answer

w(w + 2) = 48

Question 7

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

Revolt · Accepted Answer

x = −7

Question 8

Which equations can be used to solve for y, the length of the room? Select three options.

Revolt · Accepted Answer

y2 – 5y = 750; 750 – y(y – 5) = 0; (y + 25)(y – 30) = 0

Question 9

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

Revolt · Accepted Answer

4 and –6

Solving Quadratic Equations: Factoring Answers

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