Math 12- Solving Systems of Equations

x + 2y = -4

x - 2y = 8

• (2,5)

• (2,-3)

• (2,-2)

• (-3,2)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Aaron finds that he can give 3 haircuts and 2 hair dyes in 315 minutes. Giving 2 haircuts and 4 hair dyes takes Aaron 450 minutes.  Which system of equations represents the situation?

• 3x + 2y = 315 2x + 4y = 450

• 3x + 2y = 450 2x + 4y = 315

• 2x + 2y = 315 3x + 4y = 450

Tags

CCSS.HSA.CED.A.3

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

• (1, 5)
• (5, 1)
• (0.25, 2)
• ∅

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Solve for x and y
3x + 2y = 16
7x + y = 19

• (-2,5)
• (-2,-5)
• (2,-5)
• (2,5)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Jerry is running a concession stand at a soccer game. He sells nachos and sodas. Nachos (n) cost $1.50 each and sodas (s) cost $0.50 each. At the end of the game, Jerry made a total of $78.50 and sold a total of 87 nachos and sodas combined. Which system of equations represents this situation?

• 1.5n+0.5s=78.5

  n+s=87

• 1.5n+0.5s=78.5

  1.5n+0.5s=87

• n+s=78.5

  1.5s+0.5s=87

• n+s=78.5

  n+s=87

Tags

CCSS.HSA.CED.A.3

Caitlin went to the grocery store. On Monday she purchased 4 apples and 6 bananas for a total of $13. On Wednesday Caitlin 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

y = -6x + 5

-2x + y = 5

• (-3, -6)

• (0, 3)

• (0, 5)

• (-3, 5)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Katie won a bag full of money! She has 49 bills in all. She counts $1,430. There are $20 dollar bills and $50 dollar bills. How many of each bill does Katie have? WRITE a system where T= # of $20 and F = # of $50.

• T + F = 1430 20T + 50F = 49

• T+ F = 49 10T + 5F = 1430 

• T + F = 49 20T + 50F  = 1430

• T + F = 49 T + F = 1430

Tags

CCSS.8.EE.C.8C