Real-Life Inequalities: Solve and Graph 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 find the solution on a number line.

• 3

• 5

• 6

• 4

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 solve it.

• 15

• 10

• 20

• 25

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? Create an inequality and find the solution on a number line.

• 300

• 150

• 250

• 400

4. Tom wants to save at least $200 for a new bike. If he saves $25 each week, how many weeks will it take him? Write an inequality to represent this situation and solve it.

• 12 weeks

• 10 weeks

• 6 weeks

• 8 weeks

5. A recipe requires at least 3 cups of flour. If you have 1.5 cups, how many more cups do you need? Formulate an inequality and find the solution.

• 1.5 cups

• 4 cups

• 3.5 cups

• 2 cups

6. A car can travel a maximum of 300 miles on a full tank. If it has already traveled 120 miles, how many more miles can it travel? Write an inequality and solve it.

• 150 miles

• 250 miles

• 200 miles

• 180 miles

7. Lisa needs to score at least 75% on her math test to pass. If the test has 40 questions, how many questions can she miss? Create an inequality and find the solution on a number line.

• 10

• 5

• 20

• 15

8. A gym requires at least 15 members to start a new class. If there are currently 10 members, how many more are needed? Write an inequality and solve it.

• 10

• 7

• 5

• 3

9. A farmer has a minimum of 100 apples to sell. If he sells 30 apples, how many does he have left? Formulate an inequality and find the solution.

• 80 apples

• 70 apples

• 100 apples

• 60 apples

10. A movie theater has a maximum capacity of 250 seats. If 180 seats are already filled, how many more can be filled? Create an inequality and solve it on a number line.

• 60

• 70

• 90

• 80