Modeling Real-Life Situations with Inequalities

1. A store sells pencils for $0.50 each. If you have $5, how many pencils can you buy? Write an inequality to represent this situation.

• 5

• 10

• 15

• 20

2. Sarah is saving money for a new bike that costs $200. If she currently has $75, write an inequality to show how much more she needs to save.

• x < 125

• x = 125

• x > 125

• x < 150

3. A class trip costs $30 per student. If the school has a budget of $600, write an inequality to determine how many students can go on the trip.

• x < 20

• x ≤ 25

• x ≥ 15

• x ≤ 20

4. Tom wants to buy video games that cost $40 each. If he has $150, write an inequality to find out how many games he can buy.

• x < 3

• x = 2

• x >= 4

• x <= 3

5. A recipe requires at least 2 cups of sugar. If you have 1.5 cups, write an inequality to show how much more sugar you need to buy.

• x = 1

• x >= 0.5

• x < 0.5

• x > 1.5

6. A car can travel at a speed of at least 60 miles per hour. If you want to reach a destination 240 miles away, write an inequality to find out how long it will take.

• t >= 4

• t <= 3

• t < 4

• t = 5

7. A gym membership costs $25 per month. If you want to spend no more than $300 in a year, write an inequality to find out how many months you can maintain the membership.

• x <= 12

• x = 10

• x >= 12

• x < 12

8. A farmer has a field that can hold at most 100 animals. If he currently has 45 animals, write an inequality to show how many more animals he can add.

• x = 100

• x ≥ 45

• x ≤ 55

• x < 55

9. A concert ticket costs $50. If you want to buy tickets for you and your friends without spending more than $200, write an inequality to represent the maximum number of tickets you can buy.

• x ≤ 4

• x ≤ 2

• x ≤ 3

• x ≤ 5

10. A school is planning a field day and needs at least 10 volunteers. If 4 people have signed up, write an inequality to show how many more volunteers are needed.

• x >= 6

• x < 6

• x > 6

• x <= 6