How many solutions does an equation have?

How many solutions does an equation have?

One Solution, No Solution, 
or Infinite Solutions?

Ex 1: One Solution

               3(2x+3) = -39

Poll

If an equation has ONE SOLUTION, then it is...

• Always True

• Sometimes True

• Never True

Ex 2: No Solution

               -12x + 2 = -12x + 7          Same x term, but different constants.

Multiple Choice

If an equation has NO SOLUTION, the final line of work will be a _ statement.

• True

• False

Poll

If an equation has NO SOLUTION, then it is...

• Always True

• Sometimes True

• Never True

Ex 3: Infinite Solutions

               -5x + 1 = -5x + 1          Same thing on both sides...

                                                       Also called an IDENTITY

Multiple Choice

If an equation has INFINITE SOLUTIONS, the final line of work will be a _ statement.

• True

• False

Poll

If an equation has INFINITE SOLUTIONS, then it is...

• Always True

• Sometimes True

• Never True

Multiple Choice

How many solutions does the equation have?

 $4x-8=0$  

• One Solution

• No Solution

• Infinite Solutions

Multiple Choice

How many solutions does the equation have?

 $3\left(x+8\right)=24+3x$  

• One Solution

• No Solution

• Infinite Solutions

Multiple Choice

How many solutions does the equation have?

 $2\left(x-6\right)=2\left(x+4\right)-20$  

• One Solution

• No Solution

• Infinite Solutions

Multiple Choice

How many solutions does the equation have?

 $-x-8=7-x$  

• One Solution

• No Solution

• Infinite Solutions

Multiple Choice

How many solutions does the equation have?

 $3\left(2-3x\right)=-8x+2$  

• One Solution

• No Solution

• Infinite Solutions

Open Ended

How can you tell if an equation will have NO SOLUTION?

Open Ended

How can you tell if an equation will have INFINITE SOLUTIONS?

Multiple Select

Which of the following is another way of saying that an equation has NO SOLUTION?

SELECT ALL THAT APPLY

• All Real Numbers

• The Empty Set

•  $x\in R$  

• { }

Multiple Select

Which of the following is another way of saying that an equation has INFINITE SOLUTIONS?

SELECT ALL THAT APPLY

• All Real Numbers

• The Empty Set

•  $x\in R$  

• { }