Infinite, None and One Solution

Does the following equation have one solution, no solutions, or infinitely many solutions? 4x + 2 = 4 + 2x

• One

• None

• Infinite

• This cannot be determined

Does the following equation have one solution, no solutions, or infinitely many solutions?

2x + 2x - 7 + 2 = 4 + 2(x - 5) + 2x

• One

• None

• Infinite

• This cannot be determined

Does the following graph have one solution, no solutions, or infinitely many solutions?

• One Solution

• No Solutions

• Infinitely Many Solutions

What is the definition of one solution?

• There will only be ONE number that will make both sides equal.

• Any value for the variable can be substituted and both sides will NEVER be equal.

• Any value for the variable can be substituted and both will sides will ALWAYS be equal.

What is the definition of infinitely many solutions?

• The coefficient will always be different. There will only be ONE correct answer.

• The coefficient will be the same but the constants will be different.

• You can put any number into the equation and both sides will be TRUE.

What is the solution to this equation?

• one solution

• no solution

• infinite solutions

• none of these

Solve:
3x + 15 = 3(x + 5)

• No Solution

• x = 15

• Infinitely Many Solutions

Solve:
2x + 1 = 2x - 1

• No Solution

• x = 0

• Infinitely Many Solutions

How many solutions? 4x - 3 = 3(2x + 3)

• one solution

• no solution

• infinitely many solutions

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