Real-Life Algebra: Applying Inequalities and Logic

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

• 5

• 3

• 4

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 express this.

• 15

• 30

• 25

• 20

3. Tom is saving money for a video game that costs $60. If he currently has $20, write an inequality to show how much more he needs to save.

• x < 40

• x >= 40

• x <= 40

• x > 40

4. A recipe requires at least 2 cups of flour. If you have 1.5 cups, how many more cups do you need? Write an inequality to represent this.

• 0.5 cups

• 3 cups

• 2.5 cups

• 1 cup

5. A car can hold a maximum of 5 passengers. If 3 passengers are already in the car, write an inequality to show how many more can join.

• x ≤ 2

• x = 5

• x < 2

• x ≥ 3

6. Lisa wants to buy a new phone that costs $300. If she has $150 saved, write an inequality to determine how much more she needs to save.

• x = 150

• x < 150

• x > 300

• x >= 150

7. A concert venue can hold a maximum of 1,000 people. If 750 tickets have been sold, write an inequality to find out how many more tickets can be sold.

• x ≤ 250

• x ≥ 250

• x < 250

• x = 750

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

• x <= 5

• x > 5

• x < 5

• x >= 5

9. A farmer has at least 100 apples to sell. If he sells 30 apples, write an inequality to express how many apples he has left.

• apples_left < 70

• apples_left >= 70

• apples_left = 30

• apples_left <= 100

10. A student needs to score at least 70% on a test to pass. If the test is out of 50 points, write an inequality to find out how many points the student needs to score to pass.

• score >= 35

• score >= 40

• score <= 30

• score < 35