Writing and Interpreting Inequalities for Grade 8

1. A school club has at least 15 members. If they want to have a trip, they need at least 20 members. Write an inequality to represent the number of members needed for the trip.

• m < 20

• m <= 15

• m >= 20

• m = 20

2. Sarah has $50 to spend on books. Each book costs $8. Write an inequality to show how many books she can buy without exceeding her budget.

• b <= 6.25

• 8b >= 50

• 8b < 50

• 8b <= 50

3. A concert hall can hold a maximum of 500 people. If 200 tickets have already been sold, write an inequality to represent the number of additional tickets that can be sold.

• x = 300

• x ≥ 500

• x ≤ 300

• x < 200

4. A farmer has at least 100 apples. If he sells them in bags of 12, write an inequality to show how many bags he can sell.

• b <= 6

• b >= 9

• b < 10

• b <= 8.33

5. A gym requires at least 30 members to stay open. If they currently have 25 members, write an inequality to represent how many more members they need.

• x >= 5

• x = 5

• x <= 5

• x < 5

6. A car rental company charges $30 per day. If you want to spend no more than $150, write an inequality to represent the number of days you can rent the car.

• d ≤ 5

• d ≤ 6

• d = 5

• d < 5

7. A student needs to score at least 70% on a test to pass. If the test has 50 questions, write an inequality to represent the minimum number of questions the student must answer correctly.

• x ≤ 40

• x < 35

• x = 30

• x ≥ 35

8. A pizza shop sells large pizzas for $12 each. If you want to spend no more than $60, write an inequality to show how many pizzas you can buy.

• p < 5

• p ≤ 5

• p ≥ 5

• p ≤ 6

9. A local theater can seat a maximum of 300 people. If they have already sold 150 tickets, write an inequality to represent how many more tickets can be sold.

• x < 150

• x ≤ 150

• x ≥ 150

• x = 150

10. A charity event needs to raise at least $1,000. If they have already raised $600, write an inequality to represent how much more money they need to raise.

• x < 400

• x >= 400

• x = 400

• x <= 400