Solving Multi-Step Inequalities: Real-Life Applications

1. Sarah has $50 to spend on books. Each book costs $8. Write an inequality to represent how many books she can buy, and solve it.

• 5

• 7

• 8

• 6

2. A school is planning a field trip and needs to raise at least $300. If each student contributes $15, how many students need to participate? Write and solve the inequality.

• 20

• 25

• 30

• 15

3. A gym charges a monthly fee of $30 plus $5 for each class attended. If you want to spend no more than $100, how many classes can you attend? Write and solve the inequality.

• 14

• 16

• 12

• 10

4. A concert hall has a seating capacity of 500. If 200 tickets are sold and each ticket costs $20, how many more tickets can be sold to reach a total revenue of at least $10,000? Write and solve the inequality.

• 150

• 250

• 400

• 300

5. Emma is saving money for a new bike that costs $200. If she saves $25 each week, how many weeks will it take her to save enough? Write and solve the inequality.

• 10 weeks

• 6 weeks

• 12 weeks

• 8 weeks

6. A farmer has 120 acres of land and wants to plant corn and wheat. If he plants 3 acres of corn for every 2 acres of wheat, how many acres of wheat can he plant if he wants to plant at least 60 acres in total? Write and solve the inequality.

• 24 acres of wheat

• 42 acres of wheat

• 18 acres of wheat

• 30 acres of wheat

7. A car rental company charges a flat fee of $50 plus $0.20 per mile driven. If you want to spend no more than $100, how many miles can you drive? Write and solve the inequality.

• 300 miles

• 200 miles

• 150 miles

• 250 miles

8. A store is having a sale where you can buy 3 shirts for $45. If you want to spend less than $100, how many shirts can you buy? Write and solve the inequality.

• 8 shirts

• 10 shirts

• 4 shirts

• 6

9. A recipe requires at least 2 cups of sugar. If you already have 0.5 cups, how many more cups do you need to buy? Write and solve the inequality.

• 1.5 cups

• 2 cups

• 3 cups

• 1 cup

10. A student needs to score at least 75% on a test to pass. If the test has 40 questions, how many questions must the student answer correctly? Write and solve the inequality.

• 40

• 35

• 25

• 30