Review Graphing and Substitution Methods

What is the solution to the system?

• (3, -1)

• (2, -6)

• No Solution 

• (6, -2)

Tags

CCSS.8.EE.C.8B

What is the best method to use?

2x − 3y = −1

y =x − 1

• Graphing

• Substitution because a variable is defined

• Elimination because the equations are in standard form.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

What are possible solutions to a system of equations? Select all that apply.

• Intersecting Lines

  One solution (x, y)

• Double-shaded region

Tags

CCSS.8.EE.C.8A

The solution to a system of equations is (select all that apply):

• The ordered pair that makes BOTH equations true

• The point where the graphs intersect

• The ordered pair that makes at least one equation true

• Always an ordered pair

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

How many solutions does this system of equations have?

• One

• Two

Tags

CCSS.8.EE.C.8A

How would you solve this system and what is the solution?

y = 4x + 3

2x - 3y = 21

• Substitution

  (3,-9)

• Substitution

  (-3,-9)

• Elimination

  (3,-9)

• Elimination

  (-3, -9)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

If your system graphs as parallel lines what does that say about the solution set?

• One solution

• Two solutions

Tags

CCSS.8.EE.C.8A

Imagine you graphed this system. What is the solution?

• One Solution

• Two solutions

Tags

CCSS.8.EE.C.8B

• A

• B

• C

• D

Tags

CCSS.HSA.REI.D.12

Match the system to the graph.

• y ≤ 3x

  y ≤ -2x + 4 

• y > 3x

  y > -2x + 4

• y < 3x

  y > -2x + 3

• y > 3x

  y < -2x + 4

Tags

CCSS.HSA.REI.D.12