Solving and Graphing Two-Step Inequalities for 7th Grade

1. Sarah has $50. She wants to buy some books that cost $12 each. If she wants to spend less than $50, how many books can she buy? Graph the inequality on a number line.

• 4

• 6

• 5

• 3

2. A school is planning a field trip and needs to collect at least $200. If each student contributes $15, how many students need to contribute to meet the goal? Write and solve the inequality, then identify the solutions.

• 12

• 16

• 10

• 14

3. Tom is saving money to buy a new video game that costs $60. If he currently has $20 and saves $10 each week, how many weeks will it take for him to have enough money? Write the inequality and graph it.

• 6 weeks

• 8 weeks

• 4 weeks

• 2 weeks

4. A gardener has a budget of $100 to buy plants. If each plant costs $15, how many plants can he buy without exceeding his budget? Set up the inequality and identify the solutions.

• 8

• 5

• 6

• 7

5. Lisa is making bracelets to sell. She spends $5 on materials and sells each bracelet for $10. If she wants to make at least $50 in profit, how many bracelets does she need to sell? Write the inequality and graph it.

• Lisa needs to sell at least 4 bracelets.

• Lisa needs to sell at least 10 bracelets.

• Lisa needs to sell at least 8 bracelets.

• Lisa needs to sell at least 6 bracelets.

6. A movie theater charges $8 per ticket. If a group of friends wants to spend less than $50 on tickets, how many tickets can they buy? Write the inequality and identify the solutions.

• 6

• 8

• 7

• 5

7. A car rental company charges a flat fee of $30 plus $0.20 per mile driven. If a customer wants to spend no more than $50, how many miles can they drive? Set up the inequality and graph it.

• 50 miles

• 100 miles

• 75 miles

• 120 miles

8. A gym charges a monthly fee of $25. If a member wants to spend less than $100 in 4 months, how many months can they remain a member? Write the inequality and identify the solutions.

• 4 months

• 5 months

• 2 months

• 3 months

9. A baker makes cookies that cost $2 each to make. If she wants to sell them for $5 each and make at least $30 profit, how many cookies does she need to sell? Write the inequality and graph it.

• 20

• 5

• 10

• 15

10. A student has $80 to spend on school supplies. If each notebook costs $4 and each pen costs $2, how many notebooks and pens can she buy without exceeding her budget? Set up the inequality and identify the solutions.

• The student can buy 10 notebooks and 20 pens.

• The student can buy 20 notebooks and 0 pens.

• The student can buy any combination of notebooks and pens such that 2x + y ≤ 40, where x and y are non-negative integers.

• The student can buy 30 pens and 5 notebooks.