Real-Life Linear Equations: Solve and Graph Them!

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?

• $60

• $120

• $100

• $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?

• 4 notebooks and 6 pens

• 5 notebooks and 5 pens

• 7 notebooks and 3 pens

• 6 notebooks and 4 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.

• Width: 7 meters, Length: 15 meters

• Width: 6 meters, Length: 12 meters

• Width: 5 meters, Length: 13 meters

• Width: 4 meters, Length: 10 meters

A taxi charges a base fare of $3 plus $1.50 for each mile driven. If a passenger pays $15, how many miles did they travel? Write and solve the linear equation for this scenario.

• 5 miles

• 8 miles

• 10 miles

• 12 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?

• 30

• 20

• 25

• 15

A phone company offers a plan that costs $30 per month plus $0.10 per text message. If a customer’s bill is $50 one month, how many text messages did they send? Write and solve the linear equation for this situation.

• 250

• 150

• 200

• 100

A recipe requires 2 cups of flour and 3 cups of sugar. If you want to make a larger batch using 12 cups of flour, how many cups of sugar will you need? Write a linear equation to represent the relationship between flour and sugar in this recipe.

• 18 cups of sugar

• 6 cups of sugar

• 24 cups of sugar

• 12 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 3 hours?

• 150 miles

• 90 miles

• 240 miles

• 180 miles

A local gym charges a $50 membership fee plus $10 per class attended. If a member pays $130 in total, how many classes did they attend? Write and solve the linear equation for this scenario.

• 10

• 12

• 8

• 5

A bookstore sells novels for $15 each and textbooks for $25 each. If a customer buys a total of 5 books and spends $100, write a system of linear equations to find out how many novels and textbooks were purchased.

• x + y = 6; 15x + 25y = 90

• x + y = 5; 10x + 20y = 100

• x + y = 5; 15x + 25y = 100

• x + y = 4; 15x + 25y = 110