Inequalities in Action: Write & Evaluate Challenges

1. Sarah has 12 apples. She wants to give some to her friends but keep at least 5 for herself. Write an inequality to represent how many apples she can give away.

• x <= 7

• x >= 8

• x = 6

• x < 5

2. A movie theater has 50 seats. If 20 seats are already filled, write an inequality to show how many more people can still enter the theater.

• x < 20

• x <= 30

• x >= 40

• x = 25

3. Tom is saving money to buy a video game that costs $30. If he currently has $15, write an inequality to represent how much more money he needs to save.

• x ≤ 15

• x < 15

• x = 15

• x > 15

4. A school is planning a field trip and needs at least 30 students to sign up. If 18 students have signed up so far, write an inequality to show how many more students need to sign up.

• x > 20

• x >= 12

• x <= 15

• x >= 10

5. Lisa is running a race and wants to finish in under 25 minutes. If she has already run for 18 minutes, write an inequality to represent how much time she has left to finish the race.

• time left < 7

• time left = 8

• time left > 10

• time left < 5

6. A box can hold a maximum of 40 pounds. If a box currently weighs 25 pounds, write an inequality to show how much more weight can be added to the box.

• x <= 15

• x >= 15

• x < 15

• x > 15

7. Mark has $50 to spend on books. If each book costs $8, write an inequality to represent how many books he can buy without exceeding his budget.

• 8b <= 50

• 8b + 10 <= 50

• 8b >= 50

• 8b < 50

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

• x > 1.5

• x = 1

• x < 0.5

• x >= 0.5

9. A car can travel a maximum of 300 miles on a full tank of gas. If it has already traveled 150 miles, write an inequality to represent how many more miles it can travel before needing to refuel.

• x >= 300

• x <= 150

• x = 150

• x < 150

10. A concert venue can hold a maximum of 500 people. If 350 tickets have been sold, write an inequality to show how many more tickets can be sold before reaching capacity.

• x > 350

• x < 150

• x ≤ 150

• x ≥ 150