Solving and Graphing One-Step Inequalities in Real Life

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.

• 6

• 4

• 3

• 5

2. A school requires that students have no more than 3 tardies per semester. If Jamie has 1 tardy, how many more can he have? Write and solve the inequality, then graph it.

• 2

• 4

• 1

• 3

3. A concert hall can hold a maximum of 200 people. If 150 tickets have been sold, how many more can be sold? Set up the inequality and graph it.

• 100

• 50

• 25

• 75

4. Tom needs to score at least 75% on his math test to pass. If the test has 20 questions, how many questions can he miss? Solve the inequality and represent it on a number line.

• 10

• 5

• 7

• 3

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

• 3 cups

• 2.5 cups

• 0.5 cups

• 1 cup

6. A gym membership costs $30 per month. If you want to spend no more than $300 in a year, how many months can you afford? Set up the inequality and graph it.

• 10 months

• 5 months

• 12 months

• 8 months

7. 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 go? Write the inequality and graph it.

• 100 miles

• 150 miles

• 200 miles

• 50 miles

8. Lisa wants to save at least $100 for a new bike. If she currently has $40, how much more does she need to save? Solve the inequality and graph it on a number line.

• Lisa needs to save at least $50 more.

• Lisa needs to save at least $60 more.

• Lisa needs to save at least $70 more.

• Lisa needs to save at least $80 more.

9. A farmer has at least 50 apples. If he sells 15 apples, how many does he have left? Write the inequality, solve it, and graph it.

• At least 35 apples

• At least 50 apples

• At least 25 apples

• At least 45 apples

10. A student needs to read at least 5 books this summer. If he has read 2 books so far, how many more does he need to read? Set up the inequality and graph it.

• 4

• 2

• 6

• 3