Setting Up Systems

Rachel buys 3 tricycles and 4 bicycles for a total of $72. Joe bought 5 tricycles and 2 bicycles for $50.  Which system models this scenario?

• 3B + 4T = 72
  2T + 5B = 50
• 3T + 4B = 72
  5T + 2B = 50
• 3T + 4B = 50
  5T + 2B = 72

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.CED.A.3

CCSS.HSA.REI.C.6

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.HSA.CED.A.1

CCSS.HSA.CED.A.2

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.

What do the x and y represent?

• x = total cost, y = number of texts

• x = number of texts, y = total cost

• x = number of texts, y = number of months

• x = cost per texts, y = total cost

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.SSE.A.1

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.HSA.CED.A.1

CCSS.HSA.CED.A.2

CCSS.HSA.CED.A.3

CCSS.HSA.REI.C.6

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.HSA.CED.A.1

CCSS.HSA.CED.A.2

CCSS.HSA.CED.A.3

Ben ordered 20 total items consisting of pizza and sodas.  A pizza is $10, a soda is $2, and he spent a total of $72.  Which system models this scenario?

• 10P + 2S = 20
  P + S = 72
• P + S = 20
  2P + 10S = 72
• P + S = 20
  10P + 2S = 72

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.2

CCSS.HSA.CED.A.3

CCSS.HSA.REI.C.6

What would be the correct substitution step for

x = 3y - 2

4x - 3y = 5

• 4x(3y - 2) - 3y = 5

• 4x - 3y = 3y - 2

• 4x - 3(3y - 2) = 5

• 4(3y - 2) - 3y = 5

Tags

CCSS.HSA.REI.A.1

CCSS.HSA.REI.C.6

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.1

CCSS.HSA.CED.A.2

CCSS.HSA.CED.A.3

CCSS.HSA.REI.C.6

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.HSA.CED.A.1

CCSS.HSA.CED.A.2

CCSS.HSA.CED.A.3

CCSS.HSA.REI.C.6

What is the solution?

• (1,1)

• (1.2 , .6)

• (0,3)

• (2 , 1.3)

Tags

CCSS.HSA.REI.C.6

CCSS.HSA.REI.D.10

CCSS.HSA.REI.D.11

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7