Linear Word Problems All Types

Easy Car Rental charges $8.50 an hour plus a rental fee of $25.50. Which equation represents the total charges for x hours?

• y = 8.5 + 25.5

• y = 25.5 + 8.5x

• y = 8.5 + 25.5x

Jenny went to the sale at Kohl's last weekend.  
T-shirts were on sale for $15 each and hoodies were on sale for $20 each.  If she spent $150 total, write an equation to represent this situation.  

• 20x + 15 = y 

• 35x = y 

• 15x + 20y = 150 

• 150 - 20x = 15y 

A holiday meal costs $12.50 a person plus a delivery fee of $30.  Which equation represents the amount a holiday meal costs, including delivery, for x people?

• y = 30 + 12.5x 

• y = 12.5 + 30

• y = 12.5 + 30x

The amusement park charges $20 to get in plus $1.50 per ride. Which linear equation below represents this relationship.

• y=1.5+20x

• y=1.5x + 20

• y = 20x + 1.5

• y= 21.5x

Write an linear equation to model the following:
You want to buy desserts, ice-cream is $2.50 per scoop and puppychow is $4 per bag and you want to spend $20. 

• y=2.50x+4

• 2.50x+4y=20

• y=4x+2.5

The booster club made $708 on homecoming T-shirt sells. Small t-shirts cost $12 while large t-shirts cost $14. If x is small t-shirts and y is large t-shirts, what equation represents this.

• 12x + 14y = 708

• 14x + 12y = 708

• 708x + 14y = 12

• 12x + 708y = 14

You have $18 to spend on Uber Eats credits and hats for Among us. Uber Eats credits are $1 each and hats for Among Us cost $2 each. Let x = # of Uber Eats credits Ley y = # of hats for Among Us What equation should you use for this word problem?

• y+18x=2

• x+2y=18

• 2x+y=18

• 18x+y=2

Daniel went to a fruit market where he found that oranges cost $4 per pound and bananas cost $2 per pound. He bought some oranges and bananas and the total cost was $28.

If "x" represents the pounds of oranges Daniel bought and "y" represents the pounds of bananas, which equation models this situation?

• 2x + 4y = 28

• 4x + 2y = 28

Avery, Mia, and Luna are planning a charity event where they sell two types of tickets: x tickets for $2 each and y tickets for $4 each. They aim to raise $100 from the event.

Which equation describes all possible combinations of tickets they can sell to reach their goal?

• 2x + 4y = 100

• 4x + 2y = 100

• 2x = 4y

• 6xy = 100

Harper, Anika, and Aiden were volunteering at a local basketball game. The tickets were priced at $5 for students (x) and $7 for adults (y). If they managed to collect $500 from ticket sales, write an equation that represents this scenario.

• 7x+5y=500

• y=7x+500

• 5x+7y=500

• y=500x+7