Real-Life Linear Inequalities: Writing & Graphing Challenges

A local gym charges a monthly fee of $30 plus $5 for each class attended. Write an inequality to represent the maximum number of classes a member can attend if they want to spend no more than $100 in a month.

• x ≤ 10

• x ≤ 20

• x ≤ 14

• x ≤ 5

A school is planning a field trip and has a budget of $500. If each student pays $15, write an inequality to find the maximum number of students that can attend the trip.

• x ≤ 30

• x ≤ 40

• x ≤ 25

• x ≤ 33

Maria is saving money to buy a new bike that costs $250. If she saves $20 each week, write an inequality to show how many weeks it will take her to save enough money.

• 15w >= 250

• 25w >= 250

• 20w < 250

• 20w >= 250

A farmer has 120 acres of land and wants to plant corn and wheat. If he plants corn on x acres and wheat on y acres, write an inequality to represent the total land used.

• x + y ≤ 120

• x + y < 120

• x + y ≥ 120

• x + y = 120

A concert hall has a seating capacity of 800. If tickets are sold for $25 each, write an inequality to represent the maximum revenue if the hall is filled to capacity.

• R < 15000

• R = 18000

• R <= 20000

• R >= 25000

A bookstore sells novels for $12 each and textbooks for $30 each. If a customer wants to spend no more than $150, write an inequality to represent the number of novels (x) and textbooks (y) they can buy.

• 12x + 30y ≤ 150

• 15x + 20y ≤ 150

• 12x + 30y < 150

• 10x + 25y ≤ 150

A car rental company charges a flat fee of $50 plus $0.20 per mile driven. Write an inequality to represent the maximum number of miles a customer can drive if they want to spend no more than $100.

• m ≤ 200

• m ≤ 300

• m ≤ 250

• m ≤ 150

A pizza shop sells large pizzas for $15 each and drinks for $2 each. Write an inequality to represent the maximum number of pizzas (x) and drinks (y) that can be purchased for $50.

• 20x + y ≤ 50

• 15x + 2y ≤ 50

• 15x + 2y < 50

• 10x + 5y ≤ 50

A charity event aims to raise at least $1,000. If each ticket sold is $20, write an inequality to represent the minimum number of tickets that need to be sold.

• 10x ≥ 1000

• 20x ≥ 1000

• 20x < 1000

• x ≤ 50

A student has a budget of $60 to spend on school supplies. If notebooks cost $3 each and pens cost $2 each, write an inequality to represent the maximum number of notebooks (x) and pens (y) that can be purchased.

• 3x + 2y < 60

• 2x + y ≤ 60

• 3x + 2y ≤ 60

• 4x + 3y ≤ 60