Inequalities and Number Lines: Word Problems for 6th Graders

1. Sarah has at least 15 apples. Write an inequality to represent this situation and show it on a number line.

• x > 15

• x = 15

• x < 15

• x >= 15

2. A box can hold no more than 20 pounds of items. Write an inequality for this and identify the solution on a number line.

• x ≤ 20

• x < 20

• x = 20

• x ≥ 20

3. Tom needs to save more than $50 for a video game. Write the inequality and illustrate it on a number line.

• x < 50

• x = 50

• x > 50

• x ≥ 50

4. The temperature must be below 30 degrees for the event to be held outside. Write the inequality and mark the solution on a number line.

• T < 30

• T = 30

• T > 30

• T ≤ 30

5. A school requires at least 25 students to sign up for a trip. Write the inequality and show it on a number line.

• x < 25

• x <= 25

• x = 25

• x >= 25

6. A recipe calls for no more than 2 cups of sugar. Write the inequality and identify the solution on a number line.

• x < 2

• x >= 2

• x = 2

• x <= 2

7. Lisa can read more than 10 books this summer. Write the inequality and illustrate it on a number line.

• x < 10

• x ≥ 10

• x > 10

• x = 10

8. A car can travel at speeds less than 60 miles per hour. Write the inequality and show it on a number line.

• x < 60

• x = 60

• x ≤ 60

• x > 60

9. The concert can have a maximum of 500 attendees. Write the inequality and identify the solution on a number line.

• x ≤ 500

• x = 500

• x ≥ 500

• x < 500

10. A plant needs at least 5 hours of sunlight each day. Write the inequality and illustrate it on a number line.

• x > 5

• x < 5

• x >= 5

• x = 5