Setting Up Systems Word Problems

Chase and Sara went to the candy store. Chase bought 5 pieces of fudge and 3 pieces of bubble gum for a total of $5.70. Sara bought 2 pieces of fudge and 10 pieces of bubble gum for a total of $3.60. Which system of equations could be used to determine the cost of 1 piece of fudge, f, and 1 piece of bubble gum, g?

• 5f + 3g = 5.70

  2f + 10g = 3.60

• 5f + 3g = 3.60

  2f + 10g = 5.70

• 3f + 5g = 5.70

  10f + 2g = 3.60

Tags

CCSS.8.EE.C.8C

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, m, 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?

• m + n = 54

  m = 3n + 8

• m + n = 54

  n = 3m + 8

• m + n = 8

  m = 3n + 54

Tags

CCSS.HSA.CED.A.3

Maricella has a bag containing 35 nickels and quarters. The total value of these coins is $2.50.

• n + q = 35

  .05n + .25q = 2.50

• n + q = 2.50

  .05n + .25q = 35

• n + q = 35

  .5n + .25q = 2.50

• n + q = 2.50

  .5n + .25q = 35

Tags

CCSS.8.EE.C.8C

Jon has a total of 25 quarters and dimes. The amount of money he has is $5.65. Which system models this scenario?

• Q + D = 25
  .25Q + .10D = 5.65

• Q + D = 5.65
  .25Q + .10D = 25

• .25Q + .10D = 25
  Q + D = 5.65

Tags

CCSS.8.EE.C.8C

Sam has a total of 15 bikes and skateboards.  A bike has 2 wheels and a skateboard has 4 wheels, and she has a total of 40 wheels.  Which system models this scenario?

• B + S = 40
  2B + 4S = 15

• B + S = 15
  2B + 4S = 40

• B + S = 15
  4B + 2S = 40

Tags

CCSS.8.EE.C.8C

Uncle Freddy rented a total of 12 movies and games.  A movie rents for $3 and a game rents for $4.50, for a total of $42.  Which system models this scenario?

• 3M + 4.50G = 42
  M + G = 12

• 3M + 4.50G = 12
  M + G = 42

• M + G = 12
  4.50M + 3G = 42

Tags

CCSS.HSA.CED.A.3

Ruth wants to compare two different cell phone plans. Plan A is 10 cents per text and $25 a month. Plan B is 25 cents per text and $15 a month. Let y = total cost and x = month.

• y = .10x + 25

  y = .25x + 15

• y = .25x + 10

  y = .15x + 25

• y = .10x + 15

  y = .25x + 25

Tags

CCSS.8.EE.C.8C

Jon has a total of 25 quarters and dimes. The amount of money he has is $5.65. Which system models this scenario?

• Q + D = 25

  .25Q + .10D = 5.65

• Q + D = 5.65

  .25Q + .10D = 25

• .25Q + .10D = 25

  Q + D = 5.65

Tags

CCSS.8.EE.C.8C

The length of a rectangle is two times the width. The perimeter of the rectangle is 24 cm. How would you set up this system of equations?

• L = 2 + w

  2L + 2w = 24

• L = 2w

  L + w = 24

• L = 2w

  2L + 2w = 24

Tags

CCSS.8.EE.C.8C

Emma has 42 coins in her purse consisting of quarters and dimes. She has a total of $7.95.

• 0.25q + 0.1d = 7.95
  q + d = 42

• 25q + 10d = 7.95
  q + d = 42

• 0.25q + 0.1d = 42
  q + d = 7.95

Tags

CCSS.8.EE.C.8C