Solving Inequalities: Word Problems for 7th Graders

1. Yenni has x apples and wants to have at least 10 apples. Write an inequality to represent this situation and solve for x.

• x > 10

• x >= 10

• x = 10

• x < 10

2. If 3x + 5 > 20, how many more apples does Yenni need to buy to have more than 20 apples?

• 15

• 5

• 10

• 20

3. Yenni is saving money. She has y dollars and wants to save at least 50 dollars. Write an inequality and solve for y.

• y < 50

• y = 50

• y >= 50

• y > 50

4. If Yenni spends 2y + 10 dollars on snacks and wants to keep her spending under 30 dollars, what inequality represents this situation?

• 2y + 10 < 30

• 2y + 10 ≤ 30

• 2y + 10 > 30

• 2y + 10 = 30

5. Yenni's school is organizing a field trip. The cost per student is 15x, and they need at least 100 students to go. Write an inequality and solve for x.

• x >= total cost / 1500

• x < total cost / 1500

• x <= total cost / 1500

• x = total cost / 1500

6. If Yenni has 4x - 3 > 5, how many more items does she need to buy to satisfy the inequality?

• 1

• 5

• 3

• 2

7. Yenni wants to buy a new video game that costs 60 dollars. If she has z dollars, write an inequality to show how much more she needs to save.

• 60 - z > 0

• z - 60 < 0

• z + 60 < 0

• 60 + z > 60

8. If 5x + 2 < 27, what is the maximum number of items Yenni can buy if each item costs x dollars?

• 3

• 4

• 6

• 5

9. Yenni is planning a party and needs at least 30 chairs. If she has c chairs, write an inequality to represent how many more chairs she needs.

• c < 30

• c = 30

• c > 30

• c ≤ 30

10. If Yenni's total score in a game is represented by 2x + 10 and she wants to score more than 50 points, what inequality can be formed?

• 2x + 10 = 50

• 2x + 10 > 50

• 2x + 10 < 50

• 2x + 10 ≥ 50