Equations and Inequalities Test Review

Consider the procedure used below to solve the given equation.

5(2x+4) + 3x - 5 = 45

Step 1: 7x + 20 + 3x - 5 = 45

Step 2: 10x +15 = 45

Step 3: 10x = 30

Step 4: x = 3

• The first mistake was made in step 1.

• The first mistake was made in step 2.

• The first mistake was made in step 3.

• The first mistake was made in step 4.

• x = 3

• x = -9

• x = 17/13

• x = -3

George works at Chick-Fil-A.

He must earn at least $150 per week.

He earns $12.50 per hour.

Which inequality represents the number of hours, x, George must work each week?

Laila needs a test average of 80 or higher to make the honor roll. There are 5 tests in the term. Her first four test grades were 83, 68, 77, and 90.

Which inequality could be used to find what she needs to score on her fifth test, x, in order to make the honor roll?