Equations With Word Problems

Scott works on cars. He charges $35 for each car plus $7 per hour. Write an equation that represents this scenario if Kylie's car bill was $63.

• 7x + 35 = 63

• 7x = 63

• 7x - 35 = 63

• 35x + 7 = 63

The temperature where Cally lives is 73℉ and is falling 2℉ per hour. Which of the following equations can be used to determine how many hours (h) it will take for the temperature to drop to 65℉?

• 73 - 2h = 65

• 73 - 65 = 2h

• 65 - 2h = 63

• 2h - 73 = 65

Jim works at a local restaurant. He earns $8 an hour, plus tips. If Jim earned $350 last week, which included $270 in tips, how many hours did he work?

• 8/h + 270 = 350

• 350 = 270 + 8 + h

• 350 = 270 + 8h

• 350 -270 = h

Bob's Plumbing charges $25 per hour plus a service fee of $40 for coming out to your house. Which equation models this situation?

• y = 25x + 40

• y = 40x + 25

• y = 25x

• y = 25x - 40

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

• y = 12.50 + 30x

• y = 30 + 12.50x

• y = 12.50 + 30

• 12.50x = 30

A canoe rental service charges a $20 transportation fee and $30 dollars an hour to rent a canoe.  Write and graph an equation representing the cost, y, of renting a canoe for x hours. 

• y = $50x

• y = $20x + 30

• y = $30x + $20

• $30x + y = $20

You plan to go snowboarding. The resort charges $15 an hour in addition to $25 to rent a board. Write an equation that represents the cost to go snowboarding for the day.

• y=15x-25

• 15x+25y=100

• 25x+y=15

• y=15x+25

Lee charges $3 for a basket and $2.50 for each pound of fruit picked at the orchard. Write an equation in y = mx + b form for the total cost of x pounds of fruit from the orchard.

• y = 3x + 2.5

• y = 2.50x + 3

• y = 2.50x 

• y = 3x + 2.50

You are selling t-shirts for Student Council at school. Your club starts out with $200 in their bank. You then sell t-shirts for 6 dollars a shirt. Select the equation that matches this situation. Then find out how much money you would make if you sold 45 t-shirts. SELECT TWO ANSWERS.

• $470

• $9,006

For lunch, Amanda had a hamburger and some potato chips. The hamburger totaled 325 calories and each chip had 12 calories. Write a linear equation to represent the situation.

• y = 12 + 325

• y = 12x  + 325

• y = 325 - 12x

• y = 325x + 12