Solving Real-Life Linear Equations for 8th Graders

A car rental company charges a flat fee of $30 plus $0.20 per mile driven. Write a linear equation to represent the total cost (C) in terms of miles driven (m). How much would it cost to drive 150 miles?

• $30

• $120

• $60

• $90

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 linear equations to represent the situation. How many notebooks and pens did the student buy?

• 5 notebooks and 5 pens

• 6 notebooks and 4 pens

• 4 notebooks and 6 pens

• 7 notebooks and 3 pens

A gardener is planting flowers in a rectangular garden. The length of the garden is 3 meters more than twice the width. If the perimeter of the garden is 36 meters, write a linear equation to find the width of the garden. What are the dimensions of the garden?

• Width: 5 meters, Length: 13 meters

• Width: 6 meters, Length: 12 meters

• Width: 7 meters, Length: 15 meters

• Width: 4 meters, Length: 10 meters

A phone plan charges a monthly fee of $25 plus $0.10 for each text message sent. If a customer’s bill for one month was $35, how many text messages did they send? Write and solve the linear equation.

• 50

• 120

• 75

• 100

A school is organizing a field trip. The cost per student is $50, and there is a fixed cost of $200 for the bus. Write a linear equation to represent the total cost (C) for x students. How much will it cost for 20 students?

• $1200

• $1500

• $1000

• $800

A recipe requires 2 cups of flour and 3 cups of sugar. If you want to make a larger batch that uses 12 cups of flour, how many cups of sugar will you need? Write a linear equation and solve for the amount of sugar needed.

• 12 cups of sugar

• 15 cups of sugar

• 21 cups of sugar

• 18 cups of sugar

A local gym charges a $50 membership fee plus $10 per class attended. If a member attended 8 classes in a month, how much did they pay in total? Write the linear equation and calculate the total cost.

• $130

• $100

• $150

• $120

A bike shop sells bicycles for $150 each and helmets for $25 each. If a customer buys a total of 5 items and spends $600, write a system of linear equations to find out how many bicycles and helmets were purchased. Solve the equations.

• 4 bicycles and 1 helmet

• 2 bicycles and 3 helmets

• 5 bicycles and 0 helmets

• 3 bicycles and 2 helmets

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

• 90 miles

• 180 miles

• 150 miles

• 240 miles

A bookstore sells novels for $12 each and magazines for $5 each. If a customer buys a total of 8 items and spends $66, write a system of linear equations to determine how many novels and magazines were purchased. Solve the equations.

• 3 novels and 5 magazines

• 5 novels and 3 magazines

• 2 novels and 6 magazines

• 4 novels and 4 magazines