Real-Life Inequalities: Solving Multi-Step Scenarios

1. Sarah has $50 to spend on school supplies. If each notebook costs $5, how many notebooks can she buy? Write an inequality to represent this situation.

• n = 5

• n >= 10

• n <= 10

• n < 10

2. A concert hall can hold a maximum of 300 people. If 120 tickets have already been sold, how many more tickets can be sold? Formulate an inequality to solve this problem.

• 180

• 150

• 250

• 200

3. A gym membership costs $30 per month. If you want to spend no more than $240 in a year, what is the maximum number of months you can maintain your membership?

• 8 months

• 6 months

• 12 months

• 10 months

4. A car rental company charges a flat fee of $20 plus $0.15 per mile driven. If you want to spend no more than $50, how many miles can you drive? Write and solve the inequality.

• 250 miles

• 200 miles

• 100 miles

• 150 miles

5. Emma is saving money for a new bike that costs $150. If she saves $20 each week, how many weeks will it take her to save enough money? Set up an inequality to find the answer.

• 12 weeks

• 10 weeks

• 8 weeks

• 6 weeks

6. A school is planning a field trip and has a budget of $500. If each student’s ticket costs $15, how many students can attend without exceeding the budget? Create an inequality to solve this.

• 15

• 25

• 40

• 33

7. A recipe requires at least 2 cups of flour. If you have 1.5 cups already, how many more cups do you need to buy? Write an inequality to represent this situation.

• x = 1

• x > 1.5

• x >= 0.5

• x < 0.5

8. A store is having a sale where you can buy 3 shirts for $45. If you want to spend no more than $90, how many shirts can you buy? Formulate and solve the inequality.

• 8

• 10

• 4

• 6

9. A student needs to score at least 75% on a test to pass. If the test has 40 questions, how many questions can the student miss and still pass? Write an inequality to find the answer.

• 20

• 10

• 15

• 5

10. A gardener wants to plant at least 100 flowers in a garden. If he has already planted 45 flowers, how many more does he need to plant? Set up an inequality to solve this problem.

• 60

• 50

• 70

• 55