Solving Real-Life Linear Equations for 8th Graders

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?

• $100

• $60

• $120

• $80

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 rows. If he plants 3 flowers in each row and has a total of 24 flowers, write a linear equation to find the number of rows (r). How many rows will he plant?

• 12

• 8

• 10

• 6

A phone company offers a plan that costs $30 per month plus $0.10 per text message. Write a linear equation for the total cost (C) based on the number of text messages (t) sent. How much would the total cost be if 200 text messages are sent?

• $70

• $50

• $100

• $30

A school is organizing a field trip. The cost per student is $25, and there are 40 students attending. Write a linear equation to find the total cost (T) for the trip. What is the total cost?

• The total cost is $1000.

• $500

• $750

• $1200

A recipe requires 2 cups of flour and 3 cups of sugar. If you want to make a larger batch using x cups of flour, write a linear equation to represent the amount of sugar needed (s). How much sugar is needed if you use 6 cups of flour?

• 9 cups of sugar

• 6 cups of sugar

• 3 cups of sugar

• 12 cups of sugar

A taxi charges a base fare of $3 plus $2 for each mile driven. Write a linear equation to represent the total fare (F) in terms of miles driven (d). How much would the fare be for a 5-mile trip?

• $8

• $10

• $13

• $15

A local gym charges a monthly membership fee of $40 plus $5 for each class attended. Write a linear equation to represent the total cost (C) based on the number of classes (c) attended. What would the total cost be if a member attends 8 classes?

• $40

• $80

• $100

• $60

A bookstore sells novels for $10 each and magazines for $5 each. If a customer buys a total of 15 items and spends $100, write a system of linear equations to find out how many novels and magazines were purchased. How many of each were bought?

• 5 novels and 10 magazines

• 10 novels and 5 magazines

• 3 novels and 12 magazines

• 7 novels and 8 magazines

A factory produces 500 toys in 8 hours. If the production rate is constant, write a linear equation to represent the number of toys (T) produced in hours (h). How many toys are produced in 12 hours?

• 750 toys

• 600 toys

• 800 toys

• 500 toys