Real-Life Inequalities: Multiply & Divide to Solve

1. Sarah has at least 3 times as many marbles as Tom. If Tom has x marbles, write an inequality to represent the situation.

• S < 3x

• S = 3x

• S <= 3x

• S >= 3x

Tags

CCSS.6.EE.B.8

2. A store sells notebooks for $2 each. If you want to spend no more than $20, write an inequality to find the maximum number of notebooks you can buy.

• x ≤ 10

• x ≥ 10

• x < 10

• x ≤ 5

Tags

CCSS.6.EE.B.8

3. A recipe requires at least 4 cups of flour. If each cup weighs 0.5 pounds, write an inequality to express the minimum weight of flour needed.

• weight < 2

• weight >= 2

• weight > 2

• weight <= 2

Tags

CCSS.6.EE.B.8

4. A car can travel at a speed of at least 60 miles per hour. If you want to reach your destination in less than 3 hours, write an inequality to find the maximum distance you can travel.

• distance < 150

• distance > 180

• distance = 200

• distance < 180

Tags

CCSS.6.EE.B.8

5. A gardener wants to plant at least 5 rows of flowers. If each row requires 8 plants, write an inequality to express the minimum number of plants needed.

• x <= 40

• x >= 40

• x < 40

• x > 40

Tags

CCSS.6.EE.B.8

6. A school is planning a field trip and needs to collect at least $150. If each student contributes x dollars, write an inequality to represent the number of students needed if each contributes $5.

• n > 35

• n >= 30

• n < 30

• n <= 25

Tags

CCSS.6.EE.B.8

7. A box can hold no more than 24 pounds of fruit. If each apple weighs 1.5 pounds, write an inequality to find the maximum number of apples that can be placed in the box.

• x ≤ 16

• x ≤ 20

• x ≤ 10

• x ≤ 12

8. A runner trains for at least 30 minutes each day. If she runs at a speed of 6 miles per hour, write an inequality to express the minimum distance she must run each day.

• d ≥ 3

• d ≥ 4

• d ≤ 2

• d < 3

9. A movie theater has a seating capacity of 120. If each ticket costs $10, write an inequality to find the maximum revenue if all seats are sold.

• R < 1000

• R >= 1200

• R <= 1200

• R = 1500

Tags

CCSS.6.EE.B.8

10. A student needs to score at least 75% on a test to pass. If the test has 40 questions, write an inequality to find the minimum number of questions the student must answer correctly to pass.

• 25

• 30

• 35

• 40

Tags

CCSS.6.EE.B.8