All, Some, or No Solutions

How many solutions would this equation have?

 $3x+5=5+3x$  

• One solution

• No solution

• Infinitely many solutions

• Not enough information

How many solutions would this equation have?

 $6x+10=2\left(3x+5\right)$  

• One solution

• No solution

• Infinitely many solutions

• Not enough information

How many solutions would this equation have?

 $6x+10=2\left(3x+10\right)$  

• One solution

• No solution

• Infinitely many solutions

• Not enough information

How many solutions would this equation have?

 $5x+4x-2=8x-2$  

• One solution

• No solution

• Infinitely many solutions

• Not enough information

How many solutions would this equation have?

 $4x+2\left(2x-3\right)=4\left(2x-2\right)+3$  

• One solution

• No solution

• Infinitely many solutions

• Not enough information

How many solutions would this equation have?

 $x-3\left(2-3x\right)=2\left(5x-3\right)$  

• One solution

• No solution

• Infinitely many solutions

• Not enough information

Which expresion would make the equation have one solution?

 $12\left(x-3\right)+18=$  _______________

•  $6(2x-3)$  

•  $4\left(3x-3\right)$  

•  $4\left(2x-3\right)$  

• The answer is not listed.

Which expresion would make the equation have no solutions?

 $12\left(x-3\right)+18=$  _______________

•  $6(2x-3)$  

•  $4\left(3x-3\right)$  

•  $4\left(2x-3\right)$  

• The answer is not listed.

Which expresion would make the equation have infinitely many solutions?

 $12\left(x-3\right)+18=$  _______________

•  $6(2x-3)$  

•  $4\left(3x-3\right)$  

•  $4\left(2x-3\right)$  

• The answer is not listed.

Which point is the solution to the system on the graph?

• $(1,14)$

• $\left(5,10\right)$

• $\left(9,16\right)$

• $\left(15,0\right)$