Creating Inequalities: Real-World Constraints for 8th Graders

A school is planning a field trip and has a budget of $500. Each student ticket costs $15. Write an inequality to represent the maximum number of students that can attend the trip.

• x ≤ 25, so the maximum number of students is 25.

• x ≤ 40, so the maximum number of students is 40.

• x ≤ 50, so the maximum number of students is 50.

• x ≤ 33.33, so the maximum number of students is 33.

Maria wants to buy a new bike that costs $300. She has saved $120 so far. Write an inequality to show how much more money she needs to save to buy the bike.

• x < 180

• x <= 180

• x >= 180

• x > 180

A local bakery can produce a maximum of 200 loaves of bread per day. If they currently produce 150 loaves, write an inequality to represent how many more loaves they can make.

• x ≤ 50

• x ≥ 50

• x = 150

• x < 50

A gym has a capacity limit of 50 members in a class. If there are currently 30 members signed up, write an inequality to express how many more members can join the class.

• x ≤ 20

• x < 20

• x > 50

• x ≥ 30

Tom is saving money to buy a video game that costs $60. He has $25 saved. Write an inequality to show how much more he needs to save to afford the game.

• x >= 35

• x > 25

• x < 35

• x <= 60

A concert hall can hold a maximum of 1,000 people. If 750 tickets have already been sold, write an inequality to represent how many more tickets can be sold.

• x = 750

• x < 250

• x ≥ 250

• x ≤ 250

A farmer has 120 acres of land and wants to plant corn and wheat. If he plants at least 30 acres of corn, write an inequality to represent the maximum acres he can plant with wheat.

• wheat < 30

• wheat >= 90

• wheat <= 90

• wheat <= 60

A car rental company charges $30 per day for a car. If a customer has a budget of $240, write an inequality to show how many days they can rent the car.

• d < 6

• d >= 10

• d <= 5

• d <= 8

A student needs to score at least 70% on a test to pass. If the test has 50 questions, write an inequality to represent the minimum number of questions the student must answer correctly to pass.

• x ≤ 40

• x < 35

• x ≥ 35

• x = 30

A factory produces 500 toys a day. If they want to increase production by at least 20%, write an inequality to represent the minimum number of toys they need to produce each day.

• x > 700

• x < 600

• x ≥ 600

• x = 500