Write & Solve Linear Systems EOC Review

India graphed two lines in order to find the solution to a given system of equations.

What is the solution?

• (-3,-8)

• (-8,-3)

• (3,-8)

• (8,3)

Tags

CCSS.8.EE.C.8B

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Nancy went to the grocery story.  On Monday she purchased 4 apples and 6 bananas for a total of $13.  On Wednesday she purchased 3 apples and 7 bananas for a total of $13.50.  Which system of equations represents the situation?

• 4x + 6y = 3
  13.5x - 13y = 6
• x + y = 4
  x - y = 6
• 4x + 6y = 13
  3x + 7y = 13.5
• 4x - 6y = 13
  3x - 7y = 13.5

Tags

CCSS.8.EE.C.8C

A phone company offers two monthly plans.

Plan A costs $20 plus an additional $0.12 for each minute of calls. Plan B costs $12 plus an additional $0.15 for each minute of calls.

What is the proper system of equations?

• y = 0.12x + 20

  y = 0.15x + 12

• y = 20x + 0.10

  y = 12x + 0.12

• y = 12x + 20

  y = 0.15x + 0.12

• y = 0.15x + 20

  y = 0.12x + 12

Tags

CCSS.8.EE.C.8C

Alexandra finds that she can give 5 haircuts and 3 hair dyes in 315 minutes. Giving 2 haircuts and 6 hair dyes takes 450 minutes.  Which system of equations represents the situation?

• 5x + 3y = 315

  2x + 6y = 450

• 3x + 6y = 450

  2x + 5y = 315

• 2x + 2y = 315

  3x + 5y = 450

• 3x + 5y =450

  2x + 6y = 315

Tags

CCSS.8.EE.C.8C

When you graph the exact same line twice,

• you will have no solution. 

• you will have one solution.

• you will have infinite solutions. 

• you will graph a giraffe. 

Tags

CCSS.8.EE.C.8A

When the lines are parallel,

• there is no solution. 

• there is one solution.

• there are infinite solutions. 

• there is a parabola. 

Tags

CCSS.8.EE.C.8B

Sarah enjoys cutting lawns and charges $20 for each small lawn and $30 for each large lawn she mows. Sarah earned $140 for mowing 6 lawns. Write a system of equations that could be used to find x, small lawns and y, large lawns Sarah mowed.

Tags

CCSS.8.EE.C.8C

Michael spent $50 for 6 tigerfish and 8 goldfish. Shaun spent $55 for 5 tigerfish and 10 goldfish. Write a system of equations that could be use the find t, the price of a tigerfish and g, the price of a goldfish.

Tags

CCSS.8.EE.C.8C

Caitlin won a bag full of money at the fundraiser party! She won 49 bills that amounted to $1430. The bills consist of twenty dollar bills and fifty dollar bills. Using x for number of $20 bills and y for number of $50 bills, which systems would help determine how many of each bill Caitlin has?

• x + y = 1430

  20x + 50y = 49

• x + y = 49

  10x + 5y = 1430

• x + y = 49

  20x + 50y = 1430

• x + y = 49

  x + y = 1430

Tags

CCSS.8.EE.C.8C