Mastering Inequalities: Real-Life Applications & Graphing

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

• 6

• 4

• 3

• 5

2. A school is planning a field trip and needs at least 30 students to sign up. If each student pays $15, what is the minimum amount of money they need to collect? Write and solve the inequality, then graph it.

• $600

• $750

• $300

• $450

3. Tom is saving money for a new bike that costs $200. If he saves $25 each week, how many weeks will it take him to save enough? Write the inequality and graph it.

• 12 weeks

• 6 weeks

• 8 weeks

• 10 weeks

4. A concert hall can hold a maximum of 500 people. If 350 tickets have already been sold, how many more tickets can be sold? Write and solve the inequality, then graph it.

• 200

• 250

• 100

• 150

5. Lisa wants to buy a new phone that costs $300. She currently has $120 and plans to save $40 each month. How many months will it take her to afford the phone? Write the inequality and graph it.

• 5 months

• 8 months

• 6 months

• 4 months

6. A recipe requires at least 2 cups of flour. If you have 1.5 cups, how much more do you need? Write the inequality and graph it on a number line.

• You need 1 cup more flour.

• You need 2.5 cups more flour.

• You need 0 cups more flour.

• You need at least 0.5 cups more flour.

7. A gym has a maximum capacity of 150 members. If there are currently 120 members, how many more can join? Write and solve the inequality, then graph it.

• 40

• 50

• 30

• 25

8. A car rental company charges a minimum of $30 per day. If you want to rent a car for at least 5 days, what is the minimum amount you will spend? Write the inequality and graph it.

• $150

• $200

• $100

• $75

9. A farmer has at least 100 apples to sell. If he sells them in bags of 8 apples each, how many bags can he sell? Write and solve the inequality, then graph it.

• The farmer can sell at least 15 bags.

• The farmer can sell at least 13 bags.

• The farmer can sell at least 10 bags.

• The farmer can sell at least 12 bags.

10. A student needs to score at least 75% on a test to pass. If the test has 40 questions, how many questions must they answer correctly? Write the inequality and graph it on a number line.

• 35

• 40

• 25

• 30