Solving Linear Equations in Real-Life Scenarios

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?

• $120

• $60

• $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 find how many notebooks and pens the student bought.

• x + y = 10, 2x + 2y = 16

• x + y = 12, 2x + y = 14

• x + y = 10, 2x + y = 16

• x + y = 8, 2x + y = 18

A gardener is planting flowers in a rectangular garden. The length of the garden is twice the width. If the perimeter of the garden is 48 meters, write a linear equation to find the dimensions of the garden.

• Width: 10 meters, Length: 20 meters

• Width: 12 meters, Length: 24 meters

• Width: 6 meters, Length: 12 meters

• Width: 8 meters, Length: 16 meters

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.

• 100

• 150

• 200

• 250

A school is organizing a field trip. The cost per student is $25, 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 30 students?

• $950

• $600

• $800

• $1,200

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 unknown variable.

• 12 cups of sugar

• 21 cups of sugar

• 18 cups of sugar

• 15 cups of sugar

A local gym charges a monthly fee of $40 plus $5 for each class attended. If a member's total bill for the month is $75, how many classes did they attend? Write and solve the linear equation.

• 7

• 3

• 10

• 5

A bookstore sells novels for $10 each and magazines for $5 each. If a customer buys a total of 8 items and spends $50, write a system of linear equations to determine how many novels and magazines were purchased.

• x + y = 6; 10x + 5y = 60

• x + y = 10; 10x + 5y = 40

• x + y = 8; 10x + 5y = 50

• x + y = 8; 10x + 5y = 45

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

• 7 miles

• 5 miles

• 4 miles

• 6 miles

A factory produces 100 toys in 5 hours. If the production rate is constant, how many toys will be produced in 8 hours? Write a linear equation to represent the relationship and solve for the unknown.

• 200 toys

• 120 toys

• 140 toys

• 160 toys