Linear Equation Word Problems SAT

A music app charges $2 to download the app plus $1.29 per song downloaded. Write a linear equation to find the total cost to download 30 songs.

• y=1.29x + 2

• y=1.29 + 2x

• 30 = 1.29x + 2

• y = 1.29(30) + 2

An airplane at 30,100 feet above ground begins descending at the rate of 2,150 feet per minute. Write a linear equation to find how many minutes it will take the plane to reach the ground.

• y=30100 - 2150x

• y = 30100 + 2150x

• 0 = 30100 - 2150x

• y = 30100 - 2150(0)

A group of mountain climbers begin an expedition with 250 pounds of food. The plan to eat a total of 12 pounds of food per day. Write a linear equation to find the number of days their food will last.

• y = 250 + 12x

• y = 250 - 12x

• 0 = 250 - 12x

• y = 250 - 12(0)

ChitChat Wireless charges $0.30 per minute plus a monthly base fee. In September, Maggie used 120 minutes and her bill was $51. Write a equation to find the cost of the base fee. Select all that apply.

• y - 51 = 0.3 (x - 120)

• y + 51 = 0.3 (x + 120)

• y = 0.3(120) + 51

• 51 = 0.3(120) + b

There is a daily fee for renting a moving truck, plus a charge of $0.50 per mile driven. If driven 48 miles, it costs $64 to rent a truck. Write an equation to find the daily fee. (Select all that apply.)

• 48 = 0.5x + 64

• y - 64 = 0.5 (x - 48)

• 64 = 0.5(48) + b

• 48 = 0.5(64) + b

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

The local service center advertises that it charges a flat fee of $50 plus $8 per mile to tow a vehicle. Write an equation that represents the total cost (C) of a service for m miles of towing.

• y = 8x + 50

• C = 50m +8

• y = 50x + 8

• C = 8m + 50

Find the equation of the line in the graph.

• y = 2x + 5

• y = -2x + 5

• y = 5 + 2x

• y = - x + 5

Bob's Plumbing charges $15 per hour plus a service fee of $40 for coming out to your house. Which equation models this situation?

• y = 15x + 40

• y = 40x + 15

• y = 15x

• y = 15x - 40

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