Systems Solutions from Graphs

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

• intersecting lines

• parallel lines

• skew lines

• intersecting lines

Tags

CCSS.8.EE.C.8A

What is the solution to a systems of equations? 

• The point or points where they intersect

• What the lines have in common

• Either a single point, infinite number of points or no points

• ALL OF THE ABOVE 

Tags

CCSS.8.EE.C.8B

What is the solution to the linear system?

• (-8, -6)

• (-6, -8)

• (8, -6)

• No solution

Tags

CCSS.8.EE.C.8B

Where do these two lines intersect?

• No solution

• (-2, 3)

• (3, -2)

• (2, 3)

Tags

CCSS.8.EE.C.8B

What is the solution to the given system?

• parallel lines

• (0,0)

• (5, 7)

• no solution

Tags

CCSS.8.EE.C.8A

Which substitution would you use to check if (-2,5) is a solution to the following system:

• y = -x + 3 y = 4x + 4

  -2 = -1(5) + 3 5 = 4(-2) + 4

  -2 = -5 + 3 5 = -8 + 4

  -2 = -2 5 = -4

• y = -x + 3 y = 4x + 4

  5= -1(-2) + 3 5 = 4(-2) + 4

  5= 2 + 3 5 = -8 + 4

  5 = 5 5 = -4

What is the solution to the given system?

• (4, -2)

• (-3, 4)

• (4, -3)

• (0,-1)

Tags

CCSS.8.EE.C.8B

What is the solution to the given system?

• (1,3)

• (0,0)

• (2,2)

• no solution

Tags

CCSS.8.EE.C.8B

Which substitution would you use to check if (1,9) is a solution to the following system:

y = 6x + 3

y = x + 1

• 9 = 6 (1) + 3 9 = 1 + 1

  9 = 6 + 3 9= 2

  9 = 9

• 1 = 6 (9) + 3 1 = 9 + 1

  1 = 54+ 3 1= 10

  1= 57

What is the solution to this system of equations?

• (2,1)

• No Solution

• (-2, -1)

• (0, -3)

Tags

CCSS.8.EE.C.8B