Solving and Graphing Inequalities in Real Life Scenarios

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.

• 4

• 6

• 3

• 5

2. A school is planning a field trip and needs at least 30 students to sign up. If each student pays $15, how much money will they collect if at least 30 students sign up? Write and solve the inequality.

• 750

• 450

• 600

• 300

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 the solution.

• Tom needs to save for at least 6 weeks.

• Tom needs to save for at least 5 weeks.

• Tom needs to save for at least 10 weeks.

• Tom needs to save for at least 8 weeks.

4. 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 solve it.

• 3 cups

• 2.5 cups

• 0.5 cups

• 1 cup

5. 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.

• 100

• 200

• 400

• 150

6. Lisa wants to buy a new phone that costs $300. If she has $150 saved and plans to save $50 each month, how many months will it take her to afford the phone? Write the inequality and graph it.

• 5 months

• 2 months

• 3 months

• 4 months

7. 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 and solve the inequality.

• $150

• $75

• $200

• $100

8. A gym requires at least 15 members to stay open. If there are currently 10 members, how many more members are needed? Write the inequality and solve it.

• 5

• 10

• 7

• 3

9. A farmer has a field that can grow at least 100 plants. If he has already planted 60, how many more can he plant? Write and solve the inequality.

• 30

• 20

• 40

• 50

10. A movie theater has a seating capacity of 200. If 120 tickets are sold, how many more tickets can be sold without exceeding capacity? Write and solve the inequality.

• 60

• 40

• 80

• 100