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

• 4

• 5

• 3

2. A school is planning a field trip and needs at least 30 students to sign up. If 5 students have already signed up, how many more need to sign up? Write an inequality and interpret the solution.

• 10

• 15

• 25

• 20

3. Tom wants to save at least $200 for a new bike. If he saves $15 each week, how many weeks will it take him to save enough? Write an inequality and solve it.

• 14 weeks

• 12 weeks

• 20 weeks

• 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

• 200

• 400

• 150

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 at most 4 bags.

• Lisa can make 2 bags or fewer.

• Lisa can make at least 5 bags.

• Lisa can make exactly 3 bags.

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 and solve it.

• 15

• 20

• 10

• 12

7. A gym requires at least 15 members to start a new class. If 10 members have already signed up, how many more are needed? Write an inequality and interpret the solution.

• 3

• 7

• 5

• 10

8. A movie theater has a seating capacity of 200. If 120 tickets are sold, how many more tickets can be sold? Write an inequality to represent this situation.

• 80

• 60

• 100

• 40

9. Emma wants to buy a new phone that costs $300. If she has saved $120 so far, how much more does she need to save? Write an inequality and solve it.

• 180

• 200

• 250

• 150

10. A charity event needs at least $1,000 to be successful. If they have raised $750 so far, how much more do they need to raise? Write an inequality and interpret the solution.

• They need to raise at least $500 more.

• They need to raise at least $250 more.

• They have already raised enough money.

• They need to raise at least $100 more.