Solving & 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.

• 4

• 3

• 6

• 5

2. A school requires that students have at least 20 hours of community service to graduate. If a student has completed 15 hours, how many more hours do they need? Write and solve the inequality, then graph it.

• 5

• 10

• 8

• 3

3. A concert hall can hold a maximum of 500 people. If 350 tickets have been sold, how many more tickets can be sold? Set up the inequality and graph it on a number line.

• 200

• 100

• 400

• 150

4. Tom is saving money for a video game that costs $60. If he currently has $25, how much more does he need to save? Write the inequality and graph the solution.

• Tom needs to save $45 more.

• Tom needs to save $20 more.

• Tom needs to save $50 more.

• Tom needs to save at least $35 more.

5. A recipe requires at least 3 cups of flour. If you have 1.5 cups, how many more cups do you need to buy? Formulate the inequality and graph it.

• 2 cups

• 3.5 cups

• 1.5 cups

• 4 cups

6. A gym has a policy that members must be at least 18 years old. If a member is currently 16, how many more years must they wait? Write the inequality and graph it on a number line.

• 2

• 4

• 3

• 1

7. A farmer has at least 100 apples. If he sells 30 apples, how many does he have left? Create the inequality and graph the solution.

• At least 80 apples left.

• At least 50 apples left.

• At least 70 apples left.

• At least 100 apples left.

8. A student needs to score more than 75% on a test to pass. If the test is out of 100 points, what score does the student need? Write the inequality and graph it.

• The student needs to score more than 75 points.

• The student needs to score exactly 75 points.

• The student needs to score less than 75 points.

• The student needs to score more than 80 points.

9. 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 go? Set up the inequality and graph it.

• 250 miles

• 200 miles

• 100 miles

• 150 miles

10. A library has a limit of 10 books per person. If you currently have 6 books, how many more can you borrow? Write the inequality and graph the solution.

• 5

• 2

• 4

• 8