Simple Word Problems One Variable

Which of the following situations could be descried by the equation y= -25x + 120

• There are 120 people in the football stadium, and 25 more are entering each hour.

• A plumber charges $25 for a house call and $120 per hour.

• A teacher has 120 students. Her third period has 25 students

• There are 120 gallons of water in a tank. It releases water at a rate of 25 gallons per minute

Speedy Boat Rental charges a $15 deposit fee plus $2 for each hour of use to rent a paddle boat.  Write an equation for C, the total cost, to rent the boat for h hours.

• h = 2C + 15

• C = 15h + 2

• h = 15C + 2

• C = 2h + 15

The Roaming Cell Phone Company charges $15.00 per month plus $0.20 per minute of airtime usage.  If Juanita uses x minutes of airtime, what is an equation that can be used to determine her monthly cell phone bill (C)?

• C = 15 + 0.20x

• C =15 (0.20x)

• C = 15 + x + 0.20

• C = 0.20 + 15x

Dexter's Gym charges a one-time registration fee of $40 and $20 each month. The total fee after x months is $340. Which equation models this situation?

• 40x + 20 = 340

• 20x + 40 = 340

• 20x - 40 = 340

• 20 + 340 = 40x

A business that rents cars is open for 8 hours on Monday. On Monday morning the business had 45 cars.

• The business rented 3 cars to customers during each of the first 5 hours.

• The business rented 2 cars to customers during each of the next 3 hours.

• The total number of cars that were brought back to the business by customers on Monday was 17.

  In which equation does c represent the number of cars the business had at the end of the day on Monday?

• 0. c = 45−(5+3)−(3+2)+17

• 0. c = 45−(5×3)−(3×2)−17

• 0. c = 45−(5+3)−(3+2)−17

• 0. c = 45−(5×3)−(3×2)+17

A business that rents cars is open for 8 hours on Monday. On Monday morning the business had 45 cars. The business rented 3 cars to customers during each of the first 5 hours. The business rented 2 cars to customers during each of the next 3 hours. The total number of cars that were brought back to the business by customers on Monday was 17. In which equation does c represent the number of cars the business had at the end of the day on Monday?

• c = 45−(5+3)−(3+2)+17

• c = 45−(5×3)−(3×2)−17

• c = 45−(5+3)−(3+2)−17

• c = 45−(5×3)−(3×2)+17

Scott's Automotive charges $35 for each car plus $7 per hour. Write an equation that represents this scenario if Kylie was charged $63.

• 35x + 7 = 63

• 7x = 63

• 7x - 35 = 63

• 7x + 35 = 63

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

Ace Telecommunications charges $0.12 per minute of phone use plus a monthly service fee of $8.00 for it phone service. Which equation can be used to find c, the total cost for one month when m, minutes are used?

• c = 0.12m + 8m

• c = 8m + 0.12m

• c = 0.12m + 8

• c = 0.20m

You are visiting Baltimore, MD and a taxi company charges you a flat fee of $3.00 for using the taxi and $0.75 per mile.

Which of the following equations matches the situation?

• 0.75x + 3y = 50

• y = 0.75x + 3

• y = 3x + 0.75

• 3x + 0.75y = 50

• 50 = -0.75x + y