Solving Linear Equations: Word Problems in Context

A car rental company charges a flat fee of $50 plus $0.20 per mile driven. Write an equation to represent the total cost (C) in terms of miles driven (m). If a customer drives 150 miles, what is the total cost?

• $90

• $70

• $100

• $80

A school is selling tickets for a play. Adult tickets cost $10 each and student tickets cost $5 each. If the total revenue from ticket sales is $300 and 40 tickets were sold, how many adult and student tickets were sold?

• 20 adult tickets and 20 student tickets

• 10 adult tickets and 30 student tickets

• 15 adult tickets and 25 student tickets

• 25 adult tickets and 15 student tickets

A gardener is planting flowers in a rectangular garden. The length of the garden is 3 meters more than twice the width. If the width is w meters, write an equation for the length and find the length if the width is 4 meters.

• 11 meters

• 9 meters

• 12 meters

• 10 meters

A bookstore sells novels for $12 each and textbooks for $20 each. If a customer buys a total of 10 books for $160, how many novels and textbooks did they buy?

• 6 novels and 4 textbooks

• 4 novels and 6 textbooks

• 3 novels and 7 textbooks

• 5 novels and 5 textbooks

A gym charges a monthly fee of $30 plus $5 for each class attended. Write an equation for the total cost (C) based on the number of classes (c) attended. If a member attends 8 classes, what is their total cost?

• $50

• $80

• $70

• $100

A factory produces 500 gadgets in 5 hours. If the production rate is constant, write an equation to find the number of gadgets produced per hour. How many gadgets are produced in 8 hours?

• 900 gadgets

• 600 gadgets

• 700 gadgets

• 800 gadgets

A taxi company charges a base fare of $3 plus $2 per mile. Write an equation for the total fare (F) based on the number of miles (m) driven. If a passenger travels 10 miles, what is the total fare?

• $30

• $23

• $20

• $15

A concert hall has 200 seats. If adult tickets are sold for $15 and children's tickets for $10, and the total sales amount to $2,000, how many adult and children's tickets were sold?

• 50 adult tickets and 150 children's tickets

• 100 adult tickets and 100 children's tickets

• 0 adult tickets and 200 children's tickets

• 200 adult tickets and 0 children's tickets

A recipe requires 2 cups of flour for every 3 cups of sugar. If you want to use 6 cups of sugar, how many cups of flour do you need? Write an equation to represent this relationship.

• 4 cups of flour

• 6 cups of flour

• 2 cups of flour

• 3 cups of flour

A swimming pool is being filled with water at a rate of 50 liters per hour. If the pool holds 1,000 liters, how long will it take to fill the pool? Write an equation to represent the time (t) in terms of the total volume (V).

• 15 hours

• 25 hours

• 20 hours

• 30 hours