Quiz: Solving Sysytems by Graphing and Substitution

Solve the following system:
Using Substitution:

 $y=6x-11$  

 $-2x-3y=-7$  

•  $\left(2,\ 1\right)$  

•  $\left(1,\ 3\right)$  

•  $\left(2,\ 5\right)$  

•  $\left(3,\ 2\right)$  

Solve the following system:
Using Substitution:

 $2x-y=-1$  

 $y=x-1$  

•  $\left(-2,-3\right)$  

•  $\left(4,\ 5\right)$  

•  $\left(5,\ 3\right)$  

•  $\left(3,\ 4\right)$  

Solve the following system:

 $y=-2$  

 $4x-3y=18$  

•  $\left(3,\ -2\right)$  

•  $\left(3,\ 2\right)$  

•  $\left(-2,3\right)$  

•  $\left(2,\ 3\right)$  

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Solve the following system:

 $y=5x-3$  

 $3x-8y=24$  

•  $\left(0,\ -3\right)$  

•  $\left(0,\ 3\right)$  

•  $\left(-3,\ 0\right)$  

•  $\left(3,\ 0\right)$  

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

A gym charges a one-time registration fee as well as a monthly fee. The cost of joining the gym for 4 months is $370, and the cost of joining for 6 months is $530. Write a system of equations to find the registration fee and monthly fee. m= months; r = registration fee.

• r - 4m = 370
  r - 6m = 530
• r + 4m = 370
  r + 6m = 530
• m + 4r = 370
  m + 6r = 530
• m - 4r = 370
  m - 6r = 530

Tags

CCSS.HSA.CED.A.3

Now that we know the correct system is r + 4m = 370 and r + 6m = 530, solve this system to find the registration fee and monthly fee.

• (50, 80)
• (80, 50)
• (-50, -80)
• (-80, -50)

Tags

CCSS.8.EE.C.8C

How can you tell if a point is a solution to a system?

• It makes the first equation true.
• The (x,y) coordinates satisfy both equations
• It makes logical sense
• It makes neither equation negative

Tags

CCSS.HSA.REI.C.6

CCSS.HSA.REI.D.10

CCSS.HSA.REI.D.11

The solution to a system of equations is any ordered pair that makes both equations true. 

• TRUE
• FALSE

Tags

CCSS.HSA.REI.C.9

^{What is the solution?} 

• 1
• -2
• (1, 2)
• (1, -1)

Tags

CCSS.8.EE.C.8A

What is the solution to the system?

• (0, 3)
• (1, -1)
• (-3, 1)
• (1, 3)

Tags

CCSS.8.EE.C.8B