Writing and Interpreting Inequalities: Grade 8 Challenge

1. Sarah has at least $50 to spend on books. If each book costs $12, how many books can she buy? Write an inequality to represent this situation.

• 6

• 5

• 3

• 4

2. A school is planning a field trip and needs to collect at least $300 from students. If each student pays $15, how many students need to participate? Write an inequality for this scenario.

• x ≥ 20

• x ≤ 15

• x > 25

• x < 20

4. Tom wants to save at least $200 for a new bike. If he saves $25 each week, how many weeks will it take him to reach his goal? Write an inequality to represent this situation.

• w < 8

• w = 10

• w >= 8

• w <= 7

6. A farmer has at least 100 apples to sell. If he sells them in bags of 8 apples each, how many bags can he sell? Write an inequality to represent this situation.

• 10

• 15

• 20

• 12

7. A car rental company charges a minimum of $30 per day. If a customer wants to rent a car for at least 5 days, what is the minimum amount they will spend? Write an inequality to express this.

• $120

• $200

• $90

• $150

8. A student needs to score at least 70% on a test to pass. If the test has 50 questions, how many questions must they answer correctly? Write an inequality to represent this situation.

• 30

• 40

• 50

• 35

9. A bakery needs to make at least 200 cookies for an event. If they can bake 25 cookies at a time, how many batches do they need to make? Write an inequality to express this.

• 6

• 8

• 10

• 12

10. A charity event aims to raise at least $1,000. If each ticket sold is $20, how many tickets need to be sold? Write an inequality to represent this situation.

• x ≥ 50

• x ≤ 50

• x < 50

• x > 50