Real-Life Inequalities: Solving on Number Lines

1. Sarah has at least $50 to spend on books. If each book costs $12, how many books can she buy? Represent this situation with an inequality and solve it on a number line.

• 4

• 3

• 6

• 5

2. A school is planning a field trip and needs at least 30 students to sign up. If 12 students have already signed up, how many more need to sign up? Write an inequality and find the solution on a number line.

• 25

• 18

• 20

• 15

3. A concert hall can hold a maximum of 500 people. If 350 tickets have been sold, how many more tickets can be sold? Create an inequality to represent this and solve it.

• 150

• 100

• 200

• 250

4. Tom is saving money for a new bike that costs $200. If he currently has $75, how much more does he need to save? Write an inequality and find the solution on a number line.

• Tom needs to save $150 more.

• Tom needs to save $200 more.

• Tom needs to save $100 more.

• Tom needs to save at least $125 more.

5. A recipe requires at least 2 cups of sugar. If you have 1.5 cups, how much more do you need? Formulate an inequality and solve it.

• 0.5 cups

• 0 cups

• 1 cup

• 2.5 cups

6. A car can travel a maximum of 300 miles on a full tank. If it has already traveled 150 miles, how many more miles can it travel? Write an inequality and represent it on a number line.

• 250 miles

• 200 miles

• 100 miles

• 150 miles

7. Lisa wants to buy a new phone that costs $600. She has saved $250 so far. How much more does she need to save? Create an inequality and solve it.

• 400

• 350

• 300

• 450

8. A gym has a capacity of 100 members. If there are currently 85 members, how many more can join? Write an inequality to represent this situation and solve it on a number line.

• 15

• 25

• 10

• 20

9. A farmer needs at least 100 pounds of feed for his animals. If he has 40 pounds, how much more does he need to buy? Formulate an inequality and find the solution.

• 50 pounds

• 80 pounds

• 60 pounds

• 70 pounds

10. A movie theater has 200 seats. If 150 tickets have been sold, how many more can be sold? Write an inequality to represent this and solve it on a number line.

• 50

• 100

• 25

• 75