Inequalities

Solving Inequalities

Introduction

Multiple Choice

Solve the inequality.

x + 5 ≤ 13

• x ≥ 8

• x ≥ 18

• x ≤ 8

• x ≤ 18

Multiple Choice

Solve for x: 5x + 9 > 34

• x > -5

• x > 5

• x < -5

• x < 5

Multiple Choice

Solve for x: 3x + 7 < 22

• x < -29/3

• x < -5

• x < 29/3

• x < 5

Multiple Choice

The dance committee hired a DJ for the fall dance. The DJ charges $125 per hour in addition to $55 for an assistant. The committee wants to keep the total cost under $600. Which inequality represents the maximum amount of hours the DJ will play at the dance?

• 125x + 55 ≤ 600
• 125x + 55 ≥ 600
• 125x + 55 > 600
• 125x + 55 < 600

Multiple Choice

Joan needed $100 to buy a graphing calculator for her math class. Her neighbor will pay her $5 per hour to babysit and her Father gave her $10 for mowing the lawn. Which inequality represents the minimum amount of hours she will need to babysit in order for her to buy her calculator?

• 5x + 10 ≥ 100
• 5x - 100 ≥ 10
• 10x + 5 ≤ 100
• 5x + 10 > 100

Multiple Choice

Mallory bought pizza and soda for a party. If she spent $12.57 on the sodas and $10.95 for each pizza, how many pizzas did she buy if her total is $89.22?

• 10.95x + 12.57 = 89.22

• 12.57x + 10.95 = 89.22

• 89.22x -10.95 = 12.57

• 12.57 + 10.95 = 89.22