Solving and Graphing One-Step Inequalities for 7th Grade

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 is planning a field trip and needs to collect at least $200. If each student contributes $15, how many students are needed? Write the inequality and represent it on a number line.

• 14

• 10

• 16

• 12

3. 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 it.

• Tom needs to save exactly $35 more.

• Tom needs to save $50 more.

• Tom needs to save less than $35 more.

• Tom needs to save $45 more.

4. A recipe requires at most 3 cups of sugar. If you already used 1.5 cups, how much more can you use? Formulate the inequality and show it on a number line.

• 1.5 cups

• 3.5 cups

• 1 cup

• 2 cups

5. A concert hall can hold no more than 500 people. If 350 tickets have been sold, how many more can be sold? Write the inequality and graph it.

• 400

• 150

• 200

• 100

6. Lisa wants to run at least 5 miles each week. If she has already run 2 miles, how many more miles does she need to run? Solve the inequality and represent it on a number line.

• 3 miles

• 4 miles

• 6 miles

• 2 miles

7. A box can hold a maximum of 30 pounds. If it currently holds 18 pounds, how much more weight can it hold? Write the inequality and graph it.

• 20 pounds

• 10 pounds

• 15 pounds

• 12 pounds

8. A car rental company charges a minimum of $30 per day. If you want to rent a car for x days, what is the minimum amount you will spend? Write the inequality and show it on a number line.

• total_cost = 30 + x

• total_cost <= 30 * x

• total_cost > 30 + 30 * x

• total_cost >= 30 * x

9. A farmer has at least 100 apples to sell. If he sells them in bags of 12, how many bags can he fill? Write the inequality and graph it.

• 10

• 9

• 8

• 7

10. A student needs to score more than 70% on a test to pass. If the test is out of 100 points, what is the minimum score needed? Write the inequality and represent it on a number line.

• 71

• 80

• 75

• 60