Inequalities in Action: Comparing Values and Solutions

1. Sarah has at least 15 apples. If she gives away 3 apples, how many apples does she have left? Write an inequality to represent this situation.

• x >= 15; x - 3 >= 12

• x >= 12; x - 3 >= 15

• x < 15; x - 3 < 12

• x > 15; x - 3 > 12

3. Tom is comparing his height to his friend. He is 5 feet tall, and his friend is at least 4 feet tall. Write an inequality to represent their heights.

• F < 4, T = 5

• F <= 4, T = 6

• F > 4, T = 5

• F >= 4, T = 5

4. A movie theater can hold a maximum of 300 people. If there are already 250 people inside, how many more can enter? Write an inequality to express this.

• 75

• 25

• 50

• 100

5. Lisa wants to buy a video game that costs $40. She has $25 saved. Write an inequality to show how much more money she needs to save.

• x < 15

• x >= 15

• x <= 15

• x > 15

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.

• x >= 0.5

• x = 1

• x < 0.5

• x > 1.5

7. A pet store has at least 10 puppies. If 4 are sold, how many puppies are left? Write an inequality to show the minimum number of puppies remaining.

• x >= 6

• x > 10

• x <= 4

• x < 6

8. A bike costs $150. If you have $100, write an inequality to show how much more money you need to buy the bike.

• x >= 50

• x <= 75

• x > 100

• x < 50

9. A class needs at least 12 students to go on a field trip. If 8 students have signed up, how many more are needed? Write an inequality to represent this.

• 4

• 2

• 6

• 10

10. A gardener wants to plant at least 30 flowers. If he has already planted 18, how many more does he need to plant? Write an inequality to express this.

• 12

• 15

• 20

• 10