Solving Quadratic Equations: Factoring Assignment

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

5 12 -12 or -5

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

B

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

C

The expression n2 + n represents the total number of blocks used in the nth figure of a pattern. Use the equation n2 + n = 56 to determine which figure has 56 blocks.

7

Two positive, consecutive, odd integers have a product of 143.

2 13

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?

A

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

A

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.

1 3 4

Percy solved the equation x2 + 7x + 12 = 12. His work is shown below. Is Percy correct? Explain.

Percy is not correct because he applied the zero product property to a factored expression that was not equal to 0. He should have subtracted 12 from both sides to get x2 + 7x = 0 before factoring. The correct solutions are 0 and -7.