Real-Life Inequalities: Translating Word Problems

1. Sarah has 15 apples. She wants to give away some apples but still keep at least 8. Write an inequality to represent how many apples she can give away.

• x <= 7

• x > 7

• x >= 7

• x < 8

2. A movie theater has a seating capacity of 200. If they have sold 150 tickets, how many more tickets can they sell without exceeding capacity? Write an inequality to represent this situation.

• 25

• 100

• 75

• 50

3. Tom is saving money to buy a video game that costs $50. If he currently has $20, how much more does he need to save? Write an inequality to show how much more he needs to save.

• x >= 50

• x >= 40

• x >= 20

• x >= 30

4. A school is planning a field trip and needs at least 30 students to sign up. If 18 students have already signed up, how many more need to sign up? Write an inequality to represent this situation.

• 15

• 12

• 10

• 20

5. A store is having a sale where you can buy 3 shirts for $45. If you want to spend no more than $60, how many shirts can you buy? Write an inequality to represent this situation.

• 6

• 5

• 4

• 2

6. Lisa is running a race and wants to finish in under 30 minutes. If she has already run for 18 minutes, how much time does she have left? Write an inequality to represent this situation.

• 10 minutes; x < 0

• 15 minutes; x <= 12

• 5 minutes; x > 12

• 12 minutes; x >= 0

8. A book costs $12. If you have $50, how many books can you buy without exceeding your budget? Write an inequality to represent this situation.

• 4

• 6

• 5

• 3

9. A car can travel 300 miles on a full tank of gas. If you have already driven 120 miles, how many more miles can you drive without running out of gas? Write an inequality to represent this situation.

• 200 miles

• 250 miles

• 150 miles

• 180 miles

10. A recipe calls for at least 2 cups of sugar. If you have already added 1.5 cups, how much more sugar can you add? Write an inequality to represent this situation.

• You can add exactly 2 cups of sugar.

• You can add 1.5 cups of sugar.

• You can add at least 1 cup of sugar.

• You can add at most 0.5 cups of sugar.