Solving Systems by Graphing through Substitution and Elimination

To Find the solution to this system of equations, Juan decided to multiply the entire first equation by -1. What method is Juan employing to find the solution?

• Substitution

• Graphing

• No Solution

• Elimination

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

What is the first step Terri could take to find the solution to the system of equations using the Elimination Method?

• Multiply by -1 through one equation to flip the signs and create opposite y-values.

• Multiply by -1 through one equation to flip the signs and create opposite x-values.

• Multiply by 1 through one equation to flip the signs and create opposite y-values.

• Isolate a variable and substitute the value in the other equation.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

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

• 1.5x+0.5y=78.5
  x+y=87

• 1.5x+0.5y=78.5
  1.5x+0.5y=87

• x+y=78.5
  1.5x+0.5y=87

• x+y=78.5
  x+y=87

Tags

CCSS.HSA.CED.A.3

Alexandra finds that she can give 3 haircuts and 2 hair dyes in 315 minutes. Giving 2 haircuts and 4 hair dyes takes 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

How many solutions?

• One Solution

• No solution

• Infinitely Many Solutions

Tags

CCSS.8.EE.C.8B

Solve for x and y
2x − 3y = −1
 y = x − 1

• (-2,-3)

• (0,-1)

• (3,4)

• (4,3)

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 solution of a system of equations will make _____ equations true, when x and y are plugged in 

• The first

• The second

• Both

• Neither

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

What is the correct first step to solve this system of equations?
4x - 3y = -10
2x + 3y = 4

• subtract the 2 equations 

• multiply the second equation by 3

• divide the first equation by 4

• add the 2 equations together

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Which of the following is not a method to solve systems?

• Elimination

• Difference of Squares

• Substitution

• Graphing

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6