One, None, or Infinite Solutions

Equations always have a solution.

• True

• False

When solving an equation and we get

5 = -3

This means the equation has:

• One Solution

• No Solution

• Infinite Solutions

Which equations would have only one solution? (Select all that apply)

• 2x = 2x

• 4x -1 = 12

• 3x - 17 = 3x - 21

• x + 5 = 2x - x + 5

• 2x - 6 = 4x - 18

Which equations would have infinite solutions? (Select all that apply)

• 2x = 2x

• 4x -1 = 12

• 3x - 17 = 3x - 21

• x + 5 = 2x - x + 5

• 2x - 6 = 4x - 18

Which equations would have no solutions? (Select all that apply)

• 2x = 2x

• 4x -1 = 12

• 3x - 17 = 3x - 21

• x + 5 = 2x - x + 5

• 2x - 6 = 4x - 18

When solving an equation and we get

-9 = -9

This means the equation has:

• One Solution

• No Solution

• Infinite Solutions

Solve the equation:

 $\frac{x}{4}+2=4$  
Does it have one, none, or infinite solutions?

• One Solution

• No Solution

• Infinite Solutions

Solve the equation:

 $3x\ -\ 12\ =\ 2\left(x-6\right)+x$  
Does it have one, none, or infinite solutions?

• One Solution

• No Solution

• Infinite Solutions