Real-Life Inequalities: Model & Combine Scenarios

1. A store sells pencils for $0.50 each. If you want to spend no more than $5, how many pencils can you buy? Write an inequality to represent this situation.

• 10

• 5

• 15

• 20

Tags

CCSS.6.EE.B.8

2. Sarah has at least 20 stickers. If she gives away some stickers to her friends, how many stickers does she have left? Write an inequality to model this situation.

• S + G <= 20

• S + G >= 20

• S - G < 20

• S - G >= 20

Tags

CCSS.7.EE.B.4B

3. A school requires that students complete at least 15 hours of community service to graduate. If John has completed 8 hours, how many more hours does he need? Write an inequality to represent this.

• 10

• 12

• 5

• 7

4. A car can hold a maximum of 5 passengers. If 3 passengers are already in the car, how many more can get in? Write an inequality to express this situation.

• 1

• 2

• 4

• 3

Tags

CCSS.6.EE.B.8

5. 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 show this.

• 3 cups

• 2.5 cups

• 0.5 cups

• 1 cup

Tags

CCSS.6.EE.B.8

6. A concert hall has a seating capacity of 300. If 250 tickets have been sold, how many more tickets can be sold? Write an inequality to represent this situation.

• 50

• 100

• 75

• 25

Tags

CCSS.6.EE.B.8

7. A gym has a minimum age requirement of 16 years. If a person is 15 years old, can they join the gym? Write an inequality to model this situation.

• A 15-year-old can join with parental consent.

• Yes, a 15-year-old can join the gym.

• The minimum age is 18 years, so they can join.

• No, a 15-year-old cannot join the gym.

Tags

CCSS.6.EE.B.8

8. A farmer has at least 50 apples. If he sells some, how many apples does he have left? Write an inequality to represent this scenario.

• 50 + x <= 50

• 50 - x < 50

• 50 - x >= 0

• x - 50 >= 0

Tags

CCSS.7.EE.B.4B

9. A student needs to score at least 70% on a test to pass. If they scored 65%, how many more points do they need to pass? Write an inequality to express this.

• 10

• 3

• 5

• 7

Tags

CCSS.6.EE.B.8

10. A bike rental shop charges $10 for the first hour and $5 for each additional hour. If you want to spend no more than $30, how many hours can you rent a bike? Write an inequality to represent this situation.

• 3 hours

• 4 hours

• 6 hours

• 5 hours