Linear Equation Word Problems

All Star Taxi charges a $4 base fee and an additional $1 per mile. Write an equation to represent the total cost of the taxi service, y, for x miles.

• y = 4 + 1x

• y = 4x + 1

• y = 4 + 1

• y = 5

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

When a tow truck is called, the cost of service is $5 plus $1 per mile that the car must be towed. Write an equation to represent the total cost of towing, y, for x miles.

• y = 5 + 1x

• y = 5x + 1

• y = 5 + 1

• y = 6

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

Your new job is at the custom t-shirt shop, where t-shirts are printed to order. For each order, the shop charges $8 per shirt plus a one-time setup fee of $15. Write the equation for total cost (y) for x shirts.

• y = 8x + 15

• y = 8 + 15x

• y = 8 + 15

• y = 23

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

When a plumber is called, the cost of the service is $50 for him to show up plus an additional $25 per hour. Write an equation to show the total cost of the service, y, for x hours of work.

• y = 50 + 25x

• y = 50x + 25

• y = 50 + 25

• y = 75

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

Cell phone companies used to charge by the text! Verizon would charge $10 a month as a base fee plus $0.50 per text. Write an equation that shows the total monthly bill, y, for x text messages.

• y = 10 + 0.50x

• y = 10x + 0.50

• y = 10 + 0.50

• y = 10.50

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

Suppose a town has a population of 5,000 residents, but that the population is decreasing by 500 people each year. Write the linear equation to represent the total population, y, after x years.

• y = 5000 - 500x

• y = 5000x - 500

• y = 5000 - 500

• y = 4500

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

Eric sells phone cases at a stand in the mall. He makes $60 as a base fee and $5 for each case he sells. Write an equation to show the total amount of money he makes, y, for x cases sold.

• y = 60 + 5x

• y = 60x + 5

• y = 60 + 5

• y = 65

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

The cost to join Retro Fitness can be modeled by y = 50 + 20x, where y is the cost and x is the number of months. Explain what the y-intercept means in context.

• 50 is the y-intercept, and it means the cost to join the gym

• 20 is the y-intercept, and it means the cost to join the gym

• 50 is the y-intercept, and it means the amount you pay per month

• 20 is the y-intercept, and it means the amount you pay per month

Tags

CCSS.HSF.LE.B.5