Solving Systems of Equations by Graphing or Substitution

^{What is the solution?} 

• 1
• -2
• (1, 2)
• (1, -1)

Tags

CCSS.8.EE.C.8A

What is the solution to the system?

• (0, 3)
• (1, -1)
• (-3, 1)
• (1, 3)

Tags

CCSS.8.EE.C.8B

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

If a system of equations has no solution, what does the graph look like? 

• intersecting lines
• parallel lines
• same lines

Tags

CCSS.8.EE.C.8A

How many Solutions?

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

Tags

CCSS.8.EE.C.8A

Solve the following system by graphing.  What is the solution?

• Infinite number of solutions
• (3, 3)
• (3, -3)
• (-3, 3)

Tags

CCSS.8.EE.C.8B

Solve the following system by graphing.  What is the solution?

• (-2, -4)
• (2, -4)
• (-2, 4)
• (2, 4)

Tags

CCSS.8.EE.C.8B

Parallel Lines never intersect because...

• they have the same slopes. 
• they have the same y-intercept.
• they have different slopes.
• they have different y-intercepts. 

Tags

CCSS.4.G.A.1

CCSS.HSG.CO.A.1

Solve:
y=8x+1
y=6x+3

• (1, 9)
• (4, 14)
• (0, 1)
• (2, 4)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

The first step in solving using the substitution method is __________.

• get x by itself
• get y by itself
• get either variable by itself
• add the equations together

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6