Mastering Inequalities: Write and Interpret Word Problems

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 pay? Write an inequality and interpret the solution.

• At least 15 students need to pay.

• At least 20 students need to pay.

• At least 30 students need to pay.

• At least 25 students need to pay.

3. Tom wants to save more than $200 for a new bike. If he saves $25 each week, how many weeks will it take him to reach his goal? Write the inequality and explain the solution.

• Tom needs to save for more than 8 weeks.

• Tom needs to save for 5 weeks.

• Tom needs to save for exactly 8 weeks.

• Tom needs to save for 10 weeks.

4. A concert hall can hold a maximum of 500 people. If 350 tickets have already been sold, how many more tickets can be sold? Write an inequality to represent this situation.

• 100

• 150

• 400

• 200

5. Lisa is making gift bags and wants to include at least 10 candies in each bag. If she has 45 candies, how many bags can she make? Write an inequality and interpret the solution.

• Lisa can make exactly 3 bags.

• Lisa can make at least 5 bags.

• Lisa can make 6 bags.

• Lisa can make at most 4 bags.

6. A farmer has a budget of no more than $1,200 to buy seeds. If each bag of seeds costs $45, how many bags can he buy? Write the inequality and explain the solution.

• 20

• 26

• 25

• 30

7. A gym requires at least 15 members to start a new class. If there are currently 8 members signed up, how many more members are needed? Write an inequality and interpret the solution.

• 7

• 10

• 12

• 5

8. A movie theater has a seating capacity of 250. If there are already 180 tickets sold, how many more tickets can be sold? Write an inequality to represent this situation.

• 70

• 90

• 80

• 60

9. Jenna wants to run at least 5 miles each week. If she runs 1.5 miles on Monday, how many more miles does she need to run? Write the inequality and explain the solution.

• 6 miles

• 2 miles

• 3.5

• 4 miles

10. A charity event needs to raise at least $1,000. If they have already raised $600, how much more do they need to raise? Write an inequality and interpret the solution.

• $400

• $200

• $500

• $300