System of Equations

Ralph makes $14 per hour plus a $20 stipend.  Melissa makes $12 per hour plus a $15 stipend.  Which system models this scenario?

• y = 14x + 15
  y = 12x + 20

• y = 20x + 14
  y = 15x + 12

• y = 14x + 20
  y = 12x + 15

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

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

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

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

A 100 point test consists of 2 point questions and 5 point questions. There were 44 total questions on the test. Which system models this scenario?

• 2X + 5Y = 100
  X + Y = 44

• X + Y = 100
  2X + 5Y = 44

• 2X + 5Y = 100
  X + Y = 100

• X + Y = 44
  2X + 5Y = 44

Maggie bought 2 shirts and 2 sweaters and spent $86.  Mia bought 3 shirts and 1 sweater and spent $81.  Which system models this scenario?

• 2X + 2Y = 81
  3X + Y = 86

• 2X + 2Y = 86
  3X + Y = 81

• X + Y = 86
  X + Y = 81

• 2X + 2Y = 167
  3X + Y = 167

The sum of two numbers is 12.  The product of those two numbers is -64.  Which system models this scenario?

• X * Y = -64
  X + Y = 12

• X + Y = -64
  X * Y = 12

• X + Y = 12
  X + Y = -64

• X * Y = 12
  X * Y = -64

The sum of two numbers is 30.  The difference of those two numbers is 2.  Which system models this scenario?

• X - Y = 30
  X + Y = 2

• X * Y = 30
  X - Y = 2

• X + Y = 30
  X + Y = 2

• X + Y = 30
  X - Y = 2

Solve the system of equations.
y = 4x+1
3x + 2y = 13

• (1, 5)

• (5, 1)

• (0.25, 2)

• ∅