Inequalities in Action: Translate and Solve for 7th Graders

1. Sarah has at least $50 to spend on a new video game. Write an inequality to represent how much she can spend, and graph the solution set.

• x > 50

• x <= 50

• x >= 50

• x < 50

2. A school requires that students read more than 20 books in a year. Write an inequality to represent the number of books a student must read, and identify the solution set.

• x > 20

• x ≥ 20

• x = 20

• x < 20

3. Tom is at least 5 feet tall to ride a roller coaster. Write an inequality for Tom's height and graph the solution set.

• h >= 5

• h > 5

• h <= 5

• h < 5

4. A recipe calls for no more than 3 cups of sugar. Write an inequality to represent the amount of sugar used, and identify the solution set.

• s = 3

• s >= 3

• s <= 3

• s < 3

5. A concert venue can hold a maximum of 200 people. Write an inequality to represent the number of attendees, and graph the solution set.

• x = 200

• x ≥ 200

• x ≤ 200

• x < 200

6. Lisa needs to score more than 75% on her test to pass. Write an inequality for her score and identify the solution set.

• x > 75

• x ≥ 75

• x < 75

• x = 75

7. A car can travel at least 30 miles per gallon of gas. Write an inequality to represent the car's fuel efficiency, and graph the solution set.

• x < 30

• x = 30

• x >= 30

• x <= 30

8. A store is offering discounts on items priced over $100. Write an inequality to represent the price of items eligible for discounts, and identify the solution set.

• p > 100

• p ≥ 100

• p = 100

• p < 100

9. A marathon runner must complete the race in less than 4 hours. Write an inequality for the time taken, and graph the solution set.

• t = 4

• t > 4

• t < 4

• t ≤ 4

10. A plant needs at least 6 hours of sunlight each day. Write an inequality to represent the sunlight requirement, and identify the solution set.

• x <= 6

• x >= 6

• x < 6

• x > 6