Real-Life Applications of Linear Equations for 8th Grade

A car rental company charges a flat fee of $50 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?

• $80

• $120

• $100

• $60

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?

• 4 notebooks and 6 pens.

• 5 notebooks and 5 pens.

• The student bought 6 notebooks and 4 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 dimensions of the garden. What are the length and width?

• Length: 15 meters, Width: 6 meters

• Length: 12 meters, Width: 4 meters

• Length: 10 meters, Width: 8 meters

• Length: 13 meters, Width: 5 meters

A phone plan costs $30 per month plus $0.10 per text message. If a customer spends $50 in a month, how many text messages did they send? Write and solve the linear equation to find the answer.

• 100

• 250

• 200

• 150

A taxi charges a base fare of $3 plus $2 for every mile driven. If a passenger pays $15 for a ride, how many miles did they travel? Write the linear equation and solve for the distance.

• 4 miles

• 6 miles

• 8 miles

• 10 miles

A school is planning a field trip and has a budget of $500. The cost per student is $25. Write a linear equation to represent the number of students (s) that can go on the trip. How many students can attend if the budget is fully utilized?

• 20

• 15

• 30

• 25

A local gym charges a $50 registration fee and $30 per month for membership. Write a linear equation to represent the total cost (C) for m months. How much would it cost for 6 months?

• $230

• $180

• $300

• $150

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.

• 18 cups of sugar

• 12 cups of sugar

• 15 cups of sugar

• 21 cups of sugar

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 4 hours?

• 120 miles

• 240 miles

• 300 miles

• 180 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 linear equations to find out how many novels and textbooks were purchased.

• x + y = 5; 10x + 20y = 70

• x + y = 5; 10x + 20y = 50

• x + y = 4; 10x + 20y = 80

• x + y = 6; 10x + 20y = 60