Real-Life Inequalities: Interpreting and Creating Problems

1. Sarah has at least 15 apples. If she gives away some, how many apples does she have left? Write an inequality to represent this situation.

• x - y < 15

• x + y >= 15

• x - y >= 15

• x + y <= 15

2. A movie theater can hold a maximum of 200 people. If there are already 150 people inside, how many more can enter? Write an inequality to show this.

• 50

• 25

• 75

• 100

3. Tom wants to buy a video game that costs $50. He has $30 saved. Write an inequality to show how much more money he needs to save.

• x >= 20

• x < 20

• x <= 20

• x > 20

4. A school is planning a field trip and needs at least 30 students to sign up. If 22 students have signed up, how many more are needed? Write an inequality to represent this.

• 8

• 15

• 12

• 5

5. Lisa is saving money for a new bike that costs $120. If she currently has $80, write an inequality to show how much more she needs to save.

• x < 40

• x > 40

• x <= 40

• x >= 40

6. A recipe requires at least 2 cups of flour. If you have 1.5 cups, how much more do you need? Write an inequality to represent this situation.

• You need at least 1 cup more flour.

• You need at least 2 cups more flour.

• You need at least 0.25 more cups of flour.

• You need at least 0.5 more cups of flour.

7. A class needs at least 10 volunteers for a project. If 6 students have volunteered, how many more are needed? Write an inequality to show this.

• 4

• 8

• 5

• 2

8. Mark has a collection of at least 50 baseball cards. If he buys 10 more, how many does he have now? Write an inequality to represent this.

• x + 10 < 50

• x + 10 = 50

• x + 10 > 70

• x + 10 >= 60

9. A concert venue can hold a maximum of 500 people. If there are already 450 tickets sold, how many more can be sold? Write an inequality to show this.

• 50

• 25

• 100

• 450

10. Emma wants to read at least 5 books this month. If she has read 3 so far, how many more does she need to read? Write an inequality to represent this.

• 4

• 3

• 1

• 2