Real-Life Inequalities: Solve and Interpret Scenarios

1. Sarah has $50 to spend on books. Each book costs $12. Write and solve an inequality to find out how many books she can buy. Graph the solution on a number line.

• Sarah can buy a maximum of 3 books.

• Sarah can buy a maximum of 5 books.

• Sarah can buy a maximum of 4 books.

• Sarah can buy a maximum of 6 books.

2. A school is planning a field trip and needs at least 30 students to sign up. If 12 students have already signed up, write and solve an inequality to find out how many more students need to sign up. Graph the solution.

• At least 18 more students need to sign up.

• At least 5 more students need to sign up.

• At least 25 more students need to sign up.

• At least 10 more students need to sign up.

3. A concert hall can hold a maximum of 500 people. If 150 tickets have already been sold, write and solve an inequality to determine how many more tickets can be sold. Graph the solution.

• 350

• 300

• 450

• 200

4. Tom is saving money for a new bike that costs $200. If he currently has $75 and saves $25 each week, write and solve an inequality to find out how many weeks it will take him to save enough money. Graph the solution.

• 5 weeks

• 7 weeks

• 3 weeks

• 10 weeks

5. A gym requires at least 15 members to stay open. If there are currently 8 members, write and solve an inequality to find out how many more members are needed. Graph the solution.

• 7

• 12

• 10

• 5

6. A farmer has 120 apples and wants to pack them into boxes that hold 15 apples each. Write and solve an inequality to find out how many boxes he can fill. Graph the solution.

• 8

• 12

• 10

• 6

7. A movie theater has 250 seats. If 180 tickets have been sold, write and solve an inequality to find out how many more tickets can be sold. Graph the solution.

• 90

• 70

• 60

• 80

8. Lisa is making gift bags for a party. She has 40 candies and wants to put the same number in each bag. If she wants to make at least 5 bags, write and solve an inequality to find out how many candies can go in each bag. Graph the solution.

• 10 candies per bag

• 1 to 8 candies per bag

• 9 to 15 candies per bag

• 1 to 4 candies per bag

9. A car rental company charges a flat fee of $30 plus $0.50 per mile driven. If a customer wants to spend no more than $60, write and solve an inequality to find out how many miles they can drive. Graph the solution.

• 75 miles

• 30 miles

• 60 miles

• 45 miles

10. A bookstore is having a sale where each book is $8. If a customer has $40 to spend, write and solve an inequality to find out how many books they can buy. Graph the solution.

• The customer can buy at most 5 books.

• The customer can buy at most 10 books.

• The customer can buy at most 7 books.

• The customer can buy at most 3 books.