Exploring Inequalities: Write and Interpret Real-Life Scenarios

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.

• 3

• 5

• 6

• 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 and interpret the solution.

• 20

• 25

• 15

• 10

3. 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 and explain the meaning of the solution.

• 100

• 400

• 150

• 200

4. Tom wants to save at least $200 for a new bike. If he saves $15 each week, how many weeks will it take him to save enough? Write an inequality and interpret the result.

• 16 weeks

• 12 weeks

• 14 weeks

• 10 weeks

5. 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 and explain the solution.

• 1.5 cups

• 2 cups

• 3.5 cups

• 4 cups

6. A gym has a maximum capacity of 100 members. If there are currently 75 members, how many more can join? Write an inequality and interpret the solution.

• 25

• 100

• 50

• 15

7. Lisa needs to score at least 80% on her final exam to pass the class. If the exam is out of 100 points, what score does she need to achieve? Write an inequality and explain the result.

• 80

• 90

• 85

• 70

8. A farmer has at least 200 apples to sell. If he sells them in bags of 25, how many bags can he sell at a minimum? Write an inequality and interpret the solution.

• 8

• 10

• 6

• 12

9. A movie theater has a seating limit of 250. If there are already 180 tickets sold, how many more can be sold? Write an inequality and explain the meaning of the solution.

• 60

• 80

• 90

• 70

10. A charity event needs to raise at least $1,000. If they have raised $450 so far, how much more do they need to raise? Write an inequality and interpret the solution.

• They need to raise at least $550 more.

• They need to raise $700 more.

• They need to raise $600 more.

• They need to raise $450 more.