Exploring Real-Life Inequalities on Number Lines

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

• 5

• 4

• 3

• 6

2. A concert hall can hold a maximum of 300 people. If 120 tickets have already been sold, how many more tickets can be sold? Write the inequality and represent it on a number line.

• 180

• 200

• 250

• 150

3. A school is planning a field trip and needs at least $200 to cover costs. If each student contributes $15, how many students need to participate? Write the inequality and graph it.

• 12

• 10

• 14

• 16

4. Tom is saving money for a new bike that costs $250. If he currently has $75, how much more does he need to save? Write the inequality and show it on a number line.

• Tom needs to save at least $175 more.

• Tom needs to save $150 more.

• Tom needs to save $200 more.

• Tom needs to save $100 more.

5. A recipe requires at least 2 cups of flour. If you have 1.5 cups, how many more cups do you need? Write the inequality and graph the solution.

• 1 cup

• 3 cups

• 0.5 cups

• 2 cups

6. A gym has a limit of 50 members for a class. If there are currently 30 members, how many more can join? Write the inequality and represent it on a number line.

• 10

• 25

• 20

• 15

7. Lisa wants to buy a new phone that costs $600. If she has saved $250, how much more does she need? Write the inequality and graph it.

• Lisa needs $450 more.

• Lisa needs $300 more.

• Lisa needs at least $350 more.

• Lisa needs $400 more.

8. A farmer has at least 100 apples to sell. If he sells them in bags of 8, how many bags can he sell? Write the inequality and show it on a number line.

• The farmer can sell at least 13 bags.

• The farmer can sell at least 12 bags.

• The farmer can sell at least 15 bags.

• The farmer can sell at least 10 bags.

9. 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

• $90

• $120

10. A student needs to score at least 70% on a test to pass. If the test has 50 questions, how many questions must they answer correctly? Write the inequality and represent it on a number line.

• 50

• 40

• 35

• 30