Substitution and Graphing to Solve Systems of Equations

The equations of two lines are:
 2x-y=4 and y=-2x+8.
What is the value of x in the solution for this system?

• x=8

• x=3

• x=11

• x=5

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

The school that Stefan goes to is selling tickets to a choral performance. On the first day of ticket sales the school sold 3 senior citizen tickets and 1 child ticket for a total of $38. The school took in $52 on the second day by selling 3 senior citizen tickets and 2 child tickets. Which equations represents the system that could be used?

• 1s + 3c = 38
  2s + 3c = 52

• 3s + 1c = 38
  3s + 2c = 52

• s + c = 38
  s + c = 52

• 3s + 3c = 38
  1s + 2c = 52

Tags

CCSS.HSA.CED.A.3

Solve:
y = 8x + 2
y = -x - 7

• (1, 10)

• (-1, -6)

• (2, 7)

• (9, 9)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Solve:
6x + 2y = -20
y = -2x - 4

• (-5, -14)

• (1, 6)

• (-6, 8)

• (2, -8)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Solve:
y = 4x - 10
y = 3x - 5

• (7 , -15)

• (1, -5)

• (5 , 10)

• (1, 2)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

What is the solution to the system of equations? 
y = 3x - 8
y = 4 - x

• (3,1)

• (1,3)

• (-3,1)

• (3,-1)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Does the system have one, none or infinite solutions?

y = 2x -11

y = 2x +5

• One

• None

• Infinitely many solutions

Tags

CCSS.8.EE.C.8B

Solve by graphing.
y = 2x + 1
y = 4x - 1

• (1,3)

• (-1,-3)

• (-1,3)

• (3,1)

Tags

CCSS.8.EE.C.8B

Solve the system by graphing:

y = 2x+8

4y - 8x = 32

• No Solution

• Infinitely Many Solutions

• (2,4)

• (4,-8)

Tags

CCSS.8.EE.C.8B

Solve the solution by substitution:

x = 7 - 2y

2x + y = 5

• (-1,4)

• (4,-1)

• (1,3)

• (3,1)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6