Graphing Systems of Equations

How many solutions will this system have? 

• No solution

• One Solution

• I Don't Know

• Infinitely Many Solutions

Tags

CCSS.8.EE.C.8A

Lesly graphed two lines in order to find the solution to a given system of equations.
What is the solution?

• (-3,-8)

• (-8,-3)

• (3,-8)

• (8,3)

Tags

CCSS.8.EE.C.8B

What is the solution to this system?

• One Solution

• No solution

• Infinitely Many Solutions

Tags

CCSS.8.EE.C.8A

The solution (x, y) to a system of equations is the point where they...? 

• Run off the graph

• Don't touch

• Intersect

• Exist

Tags

CCSS.8.EE.C.8B

Decide if the following statements are true or false about the graph.

Groups:

(a) True

,

(b) False

• The slopes are equal, so the system has infinitely many solutions

• The line are parallel, so the system has no solution

• The lines will eventually touch, so the system has one solution

• The lines will not intersect, so the system has no solution

• The lines are perpendicular which means they will not ever cross.

• The slope(m) of the lines are equal

Tags

CCSS.8.EE.C.8B

If a system of linear equations has one solution, what does this mean about the two lines? 

• Parallel lines

• the same line 

• Intersecting lines

Tags

CCSS.8.EE.C.8A

If a system of linear equations has infinitely many solutions, what does this mean about the two lines? 

• Intersecting lines

• Same line

• Parallel lines

Tags

CCSS.8.EE.C.8A

Based on the equations for each line, determine how many solutions the system would have.

y=2x+3

y=-4x+3

• Infinite Number of Solutions

• No Solution

• One Solution

Tags

CCSS.8.EE.C.8B

Based on the equations for each line, determine how many solutions the system would have.

y=5x+3

y=5x-2

• Infinite Number of Solutions

• No Solution

• One Solution

Tags

CCSS.8.EE.C.8B

Based on the equations for each line, determine how many solutions the system would have.

y=-3x+2

y=-3x+2

• Infinite Number of Solutions

• No Solution

• One Solution

Tags

CCSS.8.EE.C.8B