Real-Life Inequalities: Solve & Graph on a Number Line

1. Sarah has at least $50 to spend on books. If each book costs $12, how many books can she buy? Write the inequality and solve it.

• 4

• 6

• 3

• 5

2. A concert hall can hold a maximum of 300 people. If 150 tickets have already been sold, how many more tickets can be sold? Write the inequality and find the solution.

• 150

• 250

• 200

• 100

3. Tom needs to score more than 75% on his math test to pass. If the test has 40 questions, how many questions must he answer correctly? Write the inequality and solve it.

• 25

• 31

• 30

• 35

4. A car rental company charges a flat fee of $30 plus $0.20 per mile driven. If you want to spend no more than $50, how many miles can you drive? Write the inequality and solve it.

• 60 miles

• 120 miles

• 100 miles

• 80 miles

5. A gym requires members to be at least 18 years old. If a member is currently 15 years old, how many years must they wait to join? Write the inequality and solve it.

• 3

• 4

• 2

• 1

6. A school is planning a field trip and needs at least 20 students to sign up. If 12 students have signed up, how many more are needed? Write the inequality and solve it.

• 15

• 10

• 8

• 5

7. Lisa wants to save at least $200 for a new bike. If she saves $25 each week, how many weeks will it take her? Write the inequality and solve it.

• 12 weeks

• 10 weeks

• 6 weeks

• 8 weeks

8. A recipe requires at least 3 cups of flour. If you have 1.5 cups, how many more cups do you need to buy? Write the inequality and solve it.

• 4 cups

• 3.5 cups

• 2 cups

• 1.5 cups

9. A store is having a sale where items are at least 30% off. If an item originally costs $80, what is the lowest price it can be? Write the inequality and solve it.

• $60

• $72

• $50

• $56

10. A student needs to read more than 100 pages in a week to keep up with their reading goal. If they have read 45 pages, how many more pages do they need to read? Write the inequality and solve it.

• More than 55 pages

• More than 75 pages

• Less than 45 pages

• Exactly 55 pages