Exploring One-Variable Inequalities in Real-Life Scenarios

1. Sarah has at least $50 to spend on books. If each book costs $12, how many books can she buy? Solve the inequality and graph it.

• 3

• 5

• 6

• 4

2. A concert hall can hold a maximum of 300 people. If 75 tickets have already been sold, how many more tickets can be sold? Write and solve the inequality, then graph it.

• 100

• 225

• 150

• 300

3. A school is planning a field trip and needs to raise at least $200. If each student contributes $15, how many students need to participate? Solve the inequality and graph the solution.

• 12

• 10

• 16

• 14

4. A car rental company charges a flat fee of $30 plus $0.20 per mile driven. If you want to spend no more than $50, how many miles can you drive? Write and solve the inequality, then graph it.

• 120 miles

• 75 miles

• 100 miles

• 50 miles

5. Jamie wants to save at least $100 for a new bike. If she saves $20 each week, how many weeks will it take her? Solve the inequality and graph the solution.

• 3 weeks

• 5 weeks

• 7 weeks

• 10 weeks

6. A factory produces at least 500 toys each day. If each toy costs $5 to make, what is the minimum revenue the factory needs to generate? Write and solve the inequality, then graph it.

• The minimum revenue the factory needs to generate is $2500.

• $1000

• $4000

• $3000

7. A gym has a maximum capacity of 150 members. If there are currently 90 members, how many more can join? Write and solve the inequality, then graph it.

• 30

• 75

• 45

• 60

8. A baker can make at most 200 cookies in a day. If she has already made 120 cookies, how many more can she make? Solve the inequality and graph the solution.

• 80

• 120

• 60

• 100

9. 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, then graph it.

• 35

• 40

• 30

• 25

10. A local charity wants to collect at least 1,000 cans of food. If they have already collected 450 cans, how many more do they need? Solve the inequality and graph the solution.

• 600

• 400

• 700

• 550