Module 7 System of Equations Review

When eliminating, what is the first step?
-3x + 5y = 27
-3x + 2y = 9

• cross out the x's

• cross out the y's

• multiply either equation by -1

• multiply the top equation by 3

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

How many solutions does this system of equations have?

• One Solution

• No solution

• Infinitely Many Solutions

• Two Solutions

Tags

CCSS.8.EE.C.8A

Solve the system of equations by elimination.
-x + y = -13
-8x - 4y = -8 

• (5, 8)

• (5, -8)

• (-5, -18)

• (-5, 8)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Determine if (4, 1) is a solution for the system of equations.
y = -x + 5
y = 2x - 7

• yes

• no

Solve the system of equations.

-4x - y = 1

3x + 2y = 13

• (1, 5)

• (5, 1)

• (0.25, 2)

• (-3, 11)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

What is the solution to this system? Solve by substitution.
y= 4x + 3
2x - 3y = 21

• (3,-9)

• (-3,-9)

• (-3,9)

• (0,1)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Solve the system of Equation (x,y)
–2x + y = 10
4x – y = –14  

• (1,5)

• (6,2)

• (-2,6)

• (4,6)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Solve by elimination 
-2x + 6y = 16
-4x  - 3y = 2

• (2,2)

• (-2, -2) 

• (-2,2)

• (2,1)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

A customer at a store paid $64 for 3 large candles and 4 small candles. At the same store, a second customer paid $4 more than the first customer for 1 large candle and 8 small candles. The price of each large candle is the same, and the price of each small candle is the same. Which system of equations can be used to find the price in dollars of each large candle, x, and each small candle, y?

• 4y = 3x + 64

  8y = x + 68

• 4y = 3x + 64

  8y = x + 60

• 3x + 4y = 64

  x + 8y = 68

• 3x + 4y = 64

  x + 8y = 60

Tags

CCSS.8.EE.C.8C

Erin is 3 years younger than twice Alex's age. Their ages combined are 33 years. How old are Alex and Erin. If x=Erin's age and y=Alex's age, choose the system that matches the situation.

• x + y = 33
  y = 2x - 3

• x + y = 33
  x = 2y - 3

• x + y = 33
  x = 3 - 2y

• x + y = 3
  x = 33 - 2y

Tags

CCSS.HSA.CED.A.3