Solving Quadratic Equations: Factoring

Question 1

The product of two consecutive integers is 72. The equation x(x + 1) = 72 represents the situation, where x represents the smaller integer. Which equation can be factored and solved for the smaller integer?

Revolt · Accepted Answer

A: x2 + x – 72 = 0

Question 2

–5–33✔ 5

Revolt · Accepted Answer

D: 5

Question 3

Which statement is true about the equation (x – 4)(x + 2) = 16?

Revolt · Accepted Answer

C: The factored form of the equation is (x + 4)(x – 6) = 0.

Question 4

What are the solutions of the equation 4x2 + 3x = 24 – x?

Revolt · Accepted Answer

B: –3 or 2

Question 5

⇒ 7

Revolt · Accepted Answer

81752

Question 6

Two positive, consecutive, odd integers have a product of 143. Complete the equation to represent finding x, the greater integer. x(x – ) = 143 What is the greater integer?

Revolt · Accepted Answer

Part 1: 2; Part 2: 13

Question 7

Two negative integers are 5 units apart on the number line, and their product is 126. What is the sum of the two integers?

Revolt · Accepted Answer

A: –23

Question 8

A rectangular piece of paper has a width that is 3 inches less than its length. It is cut in half along a diagonal to create two congruent right triangles with areas of 44 square inches. Which statements are true? Check all that apply.

Revolt · Accepted Answer

A: The area of the rectangle is 88 square inches.; C: The equation x2 – 3x – 88 = 0 can be used to solve for the length of the rectangle.; D: The triangle has a base of 11 inches and a height of 8 inches.

Question 9

Complete the equivalent equation for –7x – 60 = x2 + 10x.

Revolt · Accepted Answer

(x + )(x + ) = 0: 12; x =: –12 or –5

Question 10

–20–12✔ 1220

Revolt · Accepted Answer

C: 12

Solving Quadratic Equations: Factoring Answers

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