Review System of Equation by Graphing and Substitution

If a system of equations has NO SOLUTION, what does the graph look like?

• Intersecting lines

• Parallel lines

• Same line

Tags

CCSS.8.EE.C.8A

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

• Parallel lines

• Same line

• Intersecting lines

Tags

CCSS.8.EE.C.8A

When you graph the exact same equation twice,

• you will have no solution. 
• you will have one solution.
• you will have infinite solutions. 
• you will graph a giraffe. 

Tags

CCSS.8.EE.C.8B

How many solutions will this system have?

• One
• Two
• No Solution
• Infinitely Many Solutions

Tags

CCSS.8.EE.C.8B

What is the solution?
(Hint:  Both lines are graphed over each other)

• One Solution
• No solution
• Infinitely Many Solutions

Tags

CCSS.8.EE.C.8A

How many Solutions?

• One Solution
• No solution
• Infinitely Many Solutions
• (0, -1)

Tags

CCSS.8.EE.C.8B

Solve this system of equations by graphing.

y = 4x - 2

y = -x + 3

• (-2,-1)

• (-1,-2)

• (1,2)

• (2,1)

Tags

CCSS.8.EE.C.8B

Solve the system by GRAPHING.

y = 2/3x - 2

y = -x + 3

• (0,3)

• (0,-3)

• (3,0)

• (-3,0)

Tags

CCSS.8.EE.C.8B

What is the first step in solving a system by Substitution?

• Make sure both equations are in standard form.
• Make sure at least one equation is solved for one variable.
• Make sure both equations are in slope-intercept form.
• Make sure both equations can be solved.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Which equation is correctly using substitution for the system shown?

y = x + 6

y = -2x − 3

• x + 6 = -2x − 3

• y = x + 6 − 2x − 3

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6