Real-Life Inequalities: Graphing and Solutions for 8th Graders

A store sells pencils for $0.50 each. If you have $5, how many pencils can you buy? Write and graph the inequality that represents this situation.

• 20

• 5

• 15

• 10

A class has a minimum requirement of 20 students to hold a field trip. If 15 students have signed up, how many more students need to sign up? Write and graph the inequality.

• 10

• 8

• 5

• 3

A gym charges a monthly fee of $30 plus $5 for each class attended. If you want to spend no more than $60, how many classes can you attend? Write and graph the inequality.

• 6

• 10

• 8

• 4

A car rental company charges $25 per day plus $0.15 per mile driven. If you want to spend no more than $100, how many miles can you drive? Write and graph the inequality.

• 500 miles

• 300 miles

• 400 miles

• 600 miles

A concert venue has a maximum capacity of 500 people. If 350 tickets have been sold, how many more tickets can be sold? Write and graph the inequality.

• 150

• 250

• 200

• 100

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 and graph the inequality.

• 30

• 35

• 25

• 40

A recipe requires at least 2 cups of sugar. If you have 1.5 cups, how much more do you need? Write and graph the inequality.

• 0.5 cups

• 1 cup

• 2.5 cups

• 0 cups

A factory produces at least 100 toys per day. If it produced 80 toys yesterday, how many more toys does it need to produce today to meet the requirement? Write and graph the inequality.

• 20

• 10

• 30

• 50

A runner wants to complete a marathon in under 4 hours. If they have already run 2 hours, how much time do they have left? Write and graph the inequality.

• 3 hours

• 1 hour

• 2 hours

• 4 hours

A school has a limit of 300 students in a program. If there are currently 250 students enrolled, how many more can enroll? Write and graph the inequality.

• 30

• 100

• 75

• 50