8.EE.3.7a Determining the number of solutions

6x + 1 = −6(1−x) 

• x=1

• x=−6

• Infinitely Many Solutions

• No Solution

How many solutions does an equation have if solving the equation results in the solution X=6. 

• no solution

• infinitely many solutions

• one solution

An equation that has an infinite number of solution means that...

• Only one number can be substituted for x to make the equation true

• Any real number can be substituted into the equation to make the equation true

• There are no numbers that can be substituted for x to make the equation true

Solve 5x + 5 = 3(5x-4) - 10x

• one solution

• infinitely many

• no solution

3(2b-1) - 7 = 6b - 10

• one solution

• no solution

• infinitely many

Find the equation that has no solutions as an answer.

• 2x - 5 = 4x + 6

• 3x + 2 = 3x + 9

• 2x + 8 = 2x + 8

• 7y - 9 = 2y + 9

For the equation 3(2x - 5) = 6x - k, which value of k will create an equation with infinite solutions?

• 15

• 5

• -5

• -15

Solve. 6(-4 + v) = -2v + 8

• v = 4

• no solution

• infinitely many solutions

• v = 6

How many solutions does the equation 3(x + 2) - 10 = 4x - 6 + x have?

• infinitely many

• two solutions

• one solution

• no solution

How many solutions does an equation have when solving the equation results in the statement 5=9

• One Solution

• No Solution

• Infinite Number of Solutions