Mastering Inequalities: Write and Graph for Grade 8

1. A school is planning a field trip and needs to raise at least $500. If each student contributes $15, how many students must participate? Write an inequality to represent this situation.

• 34

• 25

• 40

• 30

2. A farmer has a budget of $200 to buy seeds. If each packet of seeds costs $8, how many packets can he buy? Write an inequality and graph it on a number line.

• The farmer can buy at most 30 packets of seeds.

• The farmer can buy at most 25 packets of seeds.

• The farmer can buy at most 15 packets of seeds.

• The farmer can buy at most 20 packets of seeds.

3. A gym charges a monthly fee of $30 plus $5 for each class attended. If a member wants to spend no more than $100 in a month, how many classes can they attend? Write the inequality and graph it.

• 12

• 10

• 16

• 14

4. A concert hall has a seating capacity of 300. If tickets are sold for $20 each, how many tickets must be sold to make at least $4,000? Write an inequality and explain how to graph it.

• At least 250 tickets must be sold.

• At least 200 tickets must be sold.

• At least 150 tickets must be sold.

• At least 100 tickets must be sold.

5. A company produces x gadgets and y widgets. The total production must be less than 150 items. Write the inequality and describe how to graph it in the coordinate plane.

• x + y > 150

• x + y = 150

• x + y ≤ 150

• x + y < 150

6. A student needs to score at least 75% on a test to pass. If the test has 40 questions, how many questions must the student answer correctly? Write the inequality and graph it.

• 25

• 30

• 35

• 40

7. A restaurant wants to serve at least 100 customers on a Saturday. If each table seats 4 people, how many tables are needed? Write an inequality and illustrate it on a graph.

• At least 25 tables are needed.

• 15 tables are needed.

• 30 tables are needed.

• 20 tables are needed.

8. A charity event aims to raise at least $1,000. If each ticket sold is $25, how many tickets must be sold? Write the inequality and show how to graph it.

• At least 20 tickets must be sold.

• At least 40 tickets must be sold.

• At least 30 tickets must be sold.

• At least 50 tickets must be sold.

9. A car rental company charges a flat fee of $50 plus $0.20 per mile driven. If a customer wants to spend no more than $100, how many miles can they drive? Write the inequality and graph it.

• 150 miles

• 300 miles

• 200 miles

• 250 miles

10. A student is saving money for a new laptop that costs $800. If they save $50 each week, how many weeks will it take to save enough? Write the inequality and graph it on a number line.

• It will take 10 weeks.

• It will take 20 weeks.

• It will take at least 16 weeks.

• It will take 25 weeks.