Real-Life Linear Equations: Word Problems Unlocked

A car rental company charges a flat fee of $30 plus $0.20 per mile driven. Write an equation to represent the total cost (C) of renting a car for x miles. What is the cost for 50 miles?

• $30

• $50

• $40

• $60

Maria is saving money to buy a new bike. She saves $15 each week. Write an equation to represent the total amount of money (M) she has saved after w weeks. How much will she have saved after 8 weeks?

• 120

• 80

• 100

• 140

A store sells notebooks for $2 each and pens for $1 each. If a student buys a total of 10 items and spends $16, write a system of equations to represent the situation. How many notebooks did the student buy?

• 6

• 4

• 8

• 5

A gardener is planting flowers in rows. If each row has 5 flowers and he wants to plant a total of 35 flowers, write an equation to find the number of rows (r) he needs. How many rows will he plant?

• 6

• 8

• 7

• 5

A phone company offers a plan that costs $25 per month plus $0.10 per text message. Write an equation to represent the total monthly cost (C) for sending t text messages. What is the cost if she sends 100 messages?

• $25

• $35

• $15

• $50

A school is organizing a field trip. The cost per student is $45, and there are 20 students going. Write an equation to find the total cost (T) of the trip. What is the total cost for the trip?

• $1,200

• $1,000

• $720

• $900

A recipe requires 2 cups of flour for every 3 cups of sugar. Write a linear equation to represent the relationship between the cups of flour (f) and sugar (s). How many cups of flour are needed for 9 cups of sugar?

• 4 cups of flour

• 6 cups of flour

• 12 cups of flour

• 3 cups of flour

A train travels at a constant speed of 60 miles per hour. Write an equation to represent the distance (d) traveled after t hours. How far will the train travel in 3 hours?

• 180 miles

• 150 miles

• 240 miles

• 90 miles

A bookstore sells novels for $10 each and textbooks for $20 each. If a customer buys a total of 5 books and spends $70, write a system of equations to find out how many novels and textbooks were purchased.

• 2 novels and 3 textbooks

• 3 novels and 2 textbooks

• 4 novels and 1 textbook

• 1 novel and 4 textbooks

A local gym charges a $50 membership fee plus $5 per class attended. Write an equation to represent the total cost (C) for attending c classes. What is the total cost if a member attends 10 classes?

• 100

• 150

• 200

• 75