Graphing System of Equations

Which set of equations represents the question:

Brad decides to call for some fast food delivery. If he choses McDonalds, the delivery fee is 5 dollars and each hamburger costs 1.5 dollars. For KFC, there is no delivery fee but each chicken sandwich costs 2.5 dollars. If the total costs of the two options are the same, how many hamburgers did he buy?

• y = 1.5x + 5

  y = 2.5x

• y = 5x + 1.5

  y = x + 2.5

• y = x + 1.5

  y = 2.5x + 1

• y = 2.5x + 5

  y = 1.5x

Which set of equations best represents the graph?

• y = 1.5x + 5

  y = 2.5x

• y = 5x + 1.5

  y = x + 2.5

• y = x + 1.5

  y = 2.5x + 1

• y = 2.5x + 5

  y = 1.5x

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.C.6

CCSS.HSA.REI.D.10

CCSS.HSA.REI.D.11

What is the solution the system of equations?

y = 1.5x + 5

y = 2.5x

• (5, 2)

• (5, 12.5)

• (-2, 5)

• (2, 5)

Tags

CCSS.HSA.REI.C.6

CCSS.HSA.REI.D.11

Brad decides to call for some fast food delivery. If he choses McDonalds, the delivery fee is 5 dollars and each hamburger costs 1.5 dollars. For KFC, there is no delivery fee but each chicken sandwich costs 2.5 dollars. If the total costs of the two options are the same, how many hamburgers did he buy?

• He bought 5 hamburgers for $12.50.

• He bought 12.5 hamburgers for $5.

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3

Which set of equations represents the question:

Gavin rides a subway to work. He has two payment options. Option A is to buy a monthly pass for $50, then pay two dollars per ride. Option B is to pay $4.50 per ride. After how many rides will the cost be the same?

• y = 4.5x + 50

  y = 2x

• y = 2x + 50

  y = 4.5x + 10

• y = 4.5x

  y = 2x + 50

• y = 50x + 2

  y = 4.5x

Which set of equations is represented by the graph?

• y = 4.5x + 50

  y = 2x

• y = 2x + 50

  y = 4.5x + 10

• y = 4.5x

  y = 2x + 50

• y = 50x + 2

  y = 4.5x

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.C.6

CCSS.HSA.REI.D.10

CCSS.HSA.REI.D.11

What is the solution to the graphed equations?

• (90, 20)

• (20, 90)

• (18, 85)

• (18, 80)

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.C.6

CCSS.HSA.REI.D.11

Gavin rides a subway to work. He has two payment options. Option A is to buy a monthly pass for $50, then pay two dollars per ride. Option B is to pay $4.50 per ride. After how many rides will the cost be the same?

• 90 rides will cost 20 dollars.

• 20 dollars will cost 90 dollars.

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.2

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.3

CCSS.HSA.REI.D.10

Which set of equations represents the question:

Tim and Jack both had donut trucks. Tim had 5 donuts ready to fry from the night before, and made 1 donut every 2 minutes. Jack always gives away the first 30 donuts he makes to a local shelter. He can make 4 donuts a minute. How long before they have the same number of donuts to sell?

• y = 2x - 5

  y = 4x + 30

• y = 1/2x + 5

  y = 4x - 30

• y = -1/2x + 5

  y = - 4x - 30

• y = 5x + 1/2

  y = -30x + 4

Which set of equations is represented by the graph?

• y = 2x - 5

  y = 4x + 30

• y = 1/2x + 5

  y = 4x - 30

• y = -1/2x + 5

  y = - 4x - 30

• y = 5x + 1/2

  y = -30x + 4

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.C.6

CCSS.HSA.REI.D.10

CCSS.HSA.REI.D.11