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.

• 6

• 5

• 4

• 3

2. A concert hall can hold a maximum of 300 people. If 150 tickets have already been sold, how many more tickets can be sold? Write and solve the inequality, then graph it.

• 100

• 150

• 200

• 250

3. Tom needs to score more than 75% on his math test to pass. If the test has 40 questions, how many questions must he answer correctly? Solve the inequality and represent it on a number line.

• 30

• 31

• 35

• 25

4. 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 the solution.

• 3 cups

• 0.5 cups

• 2.5 cups

• 1 cup

5. A car can travel no more than 400 miles on a full tank. If it has already traveled 250 miles, how many more miles can it travel? Formulate the inequality, solve it, and graph it.

• 200 miles

• 100 miles

• 250 miles

• 150 miles

6. Lisa wants to save at least $200 for a new bike. If she currently has $75, how much more does she need to save? Write the inequality, solve it, and show it on a number line.

• Lisa needs to save at least $125 more.

• Lisa needs to save $200 more.

• Lisa needs to save $100 more.

• Lisa needs to save $150 more.

8. A box can hold no more than 30 pounds. If the box currently weighs 18 pounds, how much more can it weigh? Write the inequality, solve it, and graph it on a number line.

• 12

• 20

• 10

• 15

9. A movie theater has a seating capacity of 200. If 120 seats are already filled, how many more can be filled? Formulate the inequality, solve it, and represent it graphically.

• 80

• 40

• 60

• 100

10. A gardener needs to plant at least 100 flowers. If he has already planted 45, how many more does he need to plant? Write the inequality, solve it, and graph the solution on a number line.

• 55

• 60

• 50

• 70