Graphing and Solving Linear Inequalities Challenge

1. A school is planning a field trip and needs to raise at least $500. If each student contributes $15, how many students need to participate? Graph the inequality that represents this situation.

• 30

• 25

• 34

• 40

2. A local gym has a maximum capacity of 100 members. If there are currently 75 members, how many more can join? Write and graph the inequality that shows the number of new members allowed.

• 10

• 30

• 25

• 50

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

• 20

• 30

• 25

• 15

4. A concert venue can hold a maximum of 300 people. If 150 tickets have already been sold, how many more can be sold? Write and graph the inequality that represents this situation.

• 200

• 250

• 100

• 150

5. A charity event aims to raise at least $1,000. If each ticket sold is $20, how many tickets must be sold? Write the inequality and graph it.

• At least 70 tickets must be sold.

• At least 50 tickets must be sold.

• At least 30 tickets must be sold.

• At least 100 tickets must be sold.

6. A student needs to score at least 70% on a test to pass. If the test has 50 questions, how many questions can the student miss? Write and graph the inequality that represents this situation.

• 10

• 15

• 20

• 25

7. A car rental company charges a flat fee of $30 plus $0.15 per mile driven. If a customer wants to spend no more than $60, how many miles can they drive? Write and graph the inequality.

• 100 miles

• 250 miles

• 150 miles

• 200 miles

8. A bakery can produce a maximum of 200 loaves of bread per day. If they have already baked 120 loaves, how many more can they bake? Write and graph the inequality that represents this situation.

• 100

• 40

• 60

• 80

9. 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 and graph the inequality that represents this situation.

• 10 weeks

• 16 weeks

• 20 weeks

• 25 weeks

10. A pet store has a limit of 50 pets for adoption. If there are currently 30 pets available, how many more can be added? Write and graph the inequality that represents this situation.

• 10

• 15

• 25

• 20