Review Linear Equation Word Problems

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)

A landscaping company bought a total of 25 plants and trees. The total cost of the plants and trees was $964. Each plant costs $12, while each tree costs $95. Which set of equations correctly represents this situation?

• p + t = 25

  12p + 95t = 964

• p + t = 964

  95p + 12t = 25

• 107pt = 964

  12p + 95t = 107

• 25p = 964

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 roadside vegetable stand sells pumpkins for $5 each and tomatoes for $3 each. The total sales on a certain day was $98. If they sold 10 pumpkins, write a linear equation to find the number of tomatoes sold.

• 5p + 3t = 98

• 5(10) + 3t = 98

• 5p + 3(10) = 98

• 5(10) + 3(10) = 98

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

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

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