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.

• 4

• 5

• 3

• 6

2. A school requires that students complete more than 5 hours of community service. If a student has already completed 2 hours, how many more hours do they need? Write the inequality and represent it on a number line.

• The student needs more than 4 additional hours of community service.

• The student needs less than 3 additional hours of community service.

• The student needs more than 3 additional hours of community service.

• The student needs exactly 3 additional hours of community service.

3. Tom is saving money for a video game that costs $60. If he currently has $25, what inequality represents how much more he needs to save? Solve and graph it.

• x < 35

• x < 25

• x = 35

• x > 35

4. A recipe requires at least 3 cups of flour. If you have 1.5 cups, how many more cups do you need? Write the inequality and graph it on a number line.

• You need 2 more cups of flour.

• You need 3.5 more cups of flour.

• You need 0.5 more cups of flour.

• You need at least 1.5 more cups of flour.

5. A concert hall can hold a maximum of 200 people. If there are already 150 tickets sold, how many more can be sold? Write the inequality and represent it on a number line.

• 100

• 25

• 50

• 75

6. Lisa wants to run at least 10 miles this week. If she has already run 4 miles, how many more does she need to run? Write the inequality and graph it.

• Lisa needs to run 8 more miles.

• Lisa needs to run 12 more miles.

• Lisa needs to run 5 more miles.

• Lisa needs to run at least 6 more miles.

7. A box can hold no more than 30 pounds. If it currently holds 18 pounds, how much more can be added? Write the inequality and represent it on a number line.

• 15 pounds

• 20 pounds

• 10 pounds

• 12 pounds

8. A car rental company charges a minimum of $25 per day. If you want to rent a car for at least 3 days, what is the minimum amount you will spend? Write the inequality and graph it.

• $50

• $75

• $150

• $100

9. A farmer has at least 100 apples. If he sells 30, how many does he have left? Write the inequality and represent it on a number line.

• At least 50 apples left.

• At least 100 apples left.

• At least 70 apples left.

• At least 80 apples left.

10. A student needs to score more than 75% on a test to pass. If the test has 40 questions, how many questions must they answer correctly? Write the inequality and graph it on a number line.

• More than 35 questions correctly

• The student must answer more than 30 questions correctly.

• More than 40 questions correctly

• More than 25 questions correctly