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

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

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

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

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

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.

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

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

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