Real-Life Inequalities: Understanding and Applying Them

1. Sarah has at least $50 to spend on books. If each book costs $12, how many books can she buy? Write an inequality to represent this situation.

• 6

• 4

• 3

• 5

2. A school is planning a field trip and needs at least 30 students to sign up. If 5 students have already signed up, how many more need to sign up? Write an inequality to show this.

• 25

• 10

• 15

• 20

3. Tom is saving money for a video game that costs $60. If he currently has $20, how much more does he need to save? Write an inequality to represent this.

• x = 40

• x > 60

• x <= 20

• x >= 40

4. A recipe requires at least 3 cups of flour. If you have 1.5 cups, how many more cups do you need? Write an inequality to express this.

• You need at least 1.5 more cups of flour.

• You need at least 0.5 more cups of flour.

• You need at least 3.5 more cups of flour.

• You need at least 2 more cups of flour.

5. A concert hall can hold a maximum of 500 people. If 350 tickets have been sold, how many more tickets can be sold? Write an inequality to represent this situation.

• 150

• 200

• 100

• 400

6. Lisa wants to buy a new phone that costs $300. If she has saved $150, how much more does she need to save? Write an inequality to show this.

• x >= 150

• x > 150

• x < 150

• x = 150

7. A farmer has at least 100 apples to sell. If he sells 25 apples, how many does he have left? Write an inequality to represent this situation.

• x - 25 <= 75

• x - 25 >= 75

• x - 25 = 100

• x + 25 >= 100

8. A gym requires at least 15 members to stay open. If there are currently 10 members, how many more members are needed? Write an inequality to express this.

• 10

• 7

• 3

• 5

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

• 2

• 1

• 3

• 4

10. A student needs to score at least 70% on a test to pass. If the test has 20 questions, how many questions must they answer correctly? Write an inequality to show this.

• 14

• 18

• 16

• 12