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 an inequality to represent this situation and find the solution on a number line.

• 4

• 5

• 3

• 6

2. A school is planning a field trip and needs at least 30 students to sign up. If 5 students have already signed up, how many more need to sign up? Write an inequality and represent the solution on a number line.

• 25

• 20

• 10

• 15

3. A concert hall can hold a maximum of 500 people. If 200 tickets have already been sold, how many more tickets can be sold? Write an inequality and find the solution on a number line.

• 150

• 250

• 300

• 400

4. Tom is saving money to buy a new bike that costs $300. If he currently has $120, how much more does he need to save? Write an inequality to represent this and find the solution on a number line.

• Tom needs to save $150 more.

• Tom needs to save $100 more.

• Tom needs to save at least $180 more.

• Tom needs to save $200 more.

5. A recipe requires at least 2 cups of sugar. If you have 1.5 cups, how much more do you need? Write an inequality and represent the solution on a number line.

• You need at least 2 cups more sugar.

• You need at least 0 cups more sugar.

• You need at least 1 cup more sugar.

• You need at least 0.5 cups more sugar.

6. A gym has a limit of 100 members. If there are currently 75 members, how many more can join? Write an inequality and find the solution on a number line.

• 50

• 25

• 30

• 20

7. Lisa wants to run at least 5 miles each week. If she has already run 2 miles, how many more miles does she need to run? Write an inequality and represent the solution on a number line.

• Lisa needs to run at least 3 more miles.

• Lisa needs to run 1 more mile.

• Lisa needs to run 2 more miles.

• Lisa needs to run 4 more miles.

8. A farmer has a minimum of 20 acres of land to plant crops. If he has already planted on 15 acres, how many more acres does he need to plant? Write an inequality and find the solution on a number line.

• 10 acres

• 3 acres

• 5 acres

• 8 acres

9. A car can travel a maximum of 400 miles on a full tank. If it has already traveled 250 miles, how many more miles can it travel? Write an inequality and represent the solution on a number line.

• 100 miles

• 150 miles

• 200 miles

• 50 miles

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

• 35

• 50

• 30

• 40