Identifying Number of Solutions Systems

How many solutions does this system of equations have?

• One Solution

• No solution

• Infinitely Many Solutions

• Two Solutions

Tags

CCSS.8.EE.C.8A

This system has _____ solutions

• no

• 1

• 2

• Infinitely many

Tags

CCSS.8.EE.C.8B

What is the solution to the system?

• (0, 3)

• (1, -1)

• (-3, 1)

• (1, 3)

Tags

CCSS.8.EE.C.8B

Why will these graphs never cross?

• They have the same y-intercept.

• They have the same slope.

• They are both lines.

• They are both positive slopes.

Tags

CCSS.8.EE.B.5

This system has _____ solutions

• 0

• 1

• 2

• Infinitely many

Tags

CCSS.8.EE.C.8B

Drag each equation into the correct box to indicate whether it has no solution, one solution, or infinite solutions.

• Infinite Solutions

• 2(x+5) = 2x+5

• No Solution

• 12+2x-x = 9x+6

• One Solution

• 5(x+2)-3x = 2(x+5)

Tags

CCSS.8.EE.C.7A

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

Why will this system have infinite solutions?

• The equations are both negative.

• The equations are the same.

• They have the same y-intercept but not the same slope.

• They have the same slope but not the same y-intercept.

Tags

CCSS.8.EE.C.8A

When will we get "no solutions" from a system of equations?

• The two lines cross once

• The two lines are the same and overlap

• The two lines are parallel and never touch

• The two lines cross at 2 points

Tags

CCSS.8.EE.C.8B

^{What is the solution?} 

• 1

• -2

• (1, 2)

• (1, -1)

Tags

CCSS.8.EE.C.8B