Equation With Word Problem

At a college bookstore, Carla purchased a math textbook and a novel that cost a total of $54, not including tax. If the price of the math textbook, t, is $8 more than 3 times the price of the novel, n, which system of linear equations could be used to determine the price of each book?

• t + n = 54
  t = 3n + 8

• t + n = 54
  n = 3t + 8

• t + n = 54
  t = 3n - 8

• t + n = 8
  t = 3n + 54

Some students want to order shirts with their school logo. One company charges $9.65 per shirt plus a setup fee of $43. Another company charges $8.40 per shirt plus a $58 fee. Which equation represents the number of shirts when both companies charge the same amount?

• y = 9.65 + x
  y = 8.40 + x

• y = 9.65x + 43
  y = 8.40x + 58

• y =9.65x
  y = 8.40x

• y = 9.65x - 43
  y = 8.40x - 58

John was 20 feet away and was running 5 feet per minute. Alex was 50 feet away and was 3 feet per minute. Write a system of two equations for this situation?

• y = 5x + 20

  y = 3x + 50

• y = 20x + 5

  y = 50x + 3

• y = 5x + 50

  y = 2x + 20

• y = 50x + 5

  y = 20x + 3

The Really Awesome Skating Rink was $5 to get in and $3 per hour. The Not As Awesome Skating Rink was $10 at the door and was $6 per hour. Write an equation for this situation.

• y = 3x + 5

  y = 6x + 10

• y = 5x + 3

  y = 10x + 6

• y = 3x + 10

  y = 6x + 5

• y = 5x + 6

  y = 10x + 3

The little bunny ate 20 carrots and he could eat another 5 carrots a day. The big bunny had already eaten 60 carrots and he could eat 25 more carrots a day. Write a system of equations for this situation.

• y = 5x + 20

  y = 25x + 60

• y = 20x + 5

  y = 60x + 25

• y = 60x + 5

  y = 20x + 25

• y = 5x + 60

  y = 25x + 20

Darth Vader and Kylo Ren were selling bacon pancakes. Darth Vader had made $23 and Kylo Ren had made $44. Darth Vader was making $5 per minute and Kylo Ren was making $30 a minute (because of his high-waisted pants). Write a system of equations for this situation.

• y = 30x + 44

  y = 5x + 23

• y = 44x + 30

  y = 23x + 5

• y = 30x + 23

  y = 5x + 44

• y = 23x + 30

  y = 44x + 5

• Caroline rents exactly 7 games each month.

• Caroline rents exactly 6 games each month.

• Caroline rents exactly 6 or more games each month.

• Caroline rents from 1 to 5 games each month.

Alexandra finds that she can give 3 haircuts and 2 hair dyes in 315 minutes. Giving 2 haircuts and 4 hair dyes takes 450 minutes.  How long does it take her to do a haircut?
3x + 2y = 315
2x + 4y = 450

• 45 minutes

• 90 minutes

• 60 minutes

• 30 minutes

David is running a concession stand at a soccer game. He sells nachos and sodas. Nachos cost $1.50 each and sodas cost $0.50 each. At the end of the game, David made a total of $78.50 and sold a total of 87 nachos and sodas combined. Which system of equations represents this situation?

• 1.5x+0.5y=78.5
  x+y=87

• 1.5x+0.5y=78.5
  1.5x+0.5y=87

• x+y=78.5
  1.5x+0.5y=87

• x+y=78.5
  x+y=87

Last season two running backs on the Steelers football team rushed a combined total of 1550 yards.  One rushed 4 times as many yards as the other.  Let x and y represent the number of yards each individual player rushed. Which system of equations could be used? 

• x + y = 1550
  y  = 4x

• x + y = 1550
  y = x + 4

• y - x = 1550
  y = 4x

• y = 1550 + x
  y = x + 4