Factoring Linear Expressions

Factor completely:

 $21a+9$  

•  $3\left(7a+3\right)$  

•  $7\left(3a+3\right)$  

•  $9\left(3a+1\right)$  

• Cannot be factored

Factor:

 $-18y-27$  

•  $-9\left(2y-3\right)$  
  

•  $-9\left(2y+3\right)$  
  

•  $-9\left(-2y-3\right)$  
  

• Cannot be factored

Which of the following is NOT a way to factor this expression?

 $8x+36$  

•  $-4\left(2x+9\right)$  
  

•  $-4\left(-2x-9\right)$  
  

•  $4\left(2x+9\right)$  
  

Which of these expressions CANNOT be factored?

•  $28y-32x$  
  

•  $7a+10b$  
  

•  $-12q+33$  
  

•  $4s-4t$  
  

Factor:

 $28y-32$  

•  $8\left(3y-4\right)$  
  

•  $4\left(7y+8\right)$  
  

•  $4\left(7y-8\right)$  
  

• Cannot be factored

Mark factored the expression  $-20a-8b+12$   and got the answer of  $-4\left(5a+2b+3\right)$  . What mistake did Mark make?

• He didn't switch the sign of the 1st term

• He didn't switch the sign of the 2nd term

• He didn't switch the sign of the 3rd term

• Mark made no mistake

A rectangle's area is given by the expression  $16a-4$  . If the rectangle's width is  $4$  , which expression represents its length?

•  $4a$  
  

•  $-4a$  
  

•  $4a+1$  
  

•  $4a-1$  
  

What is the GCF that you would factor out of the expression  $36a+12b+27$ ?

• 2

• 3

• 6

• 12

Factor:

 $15a-6b+36$  

•  $-3\left(5a-2b+12\right)$  
  

•  $3\left(5a-2b+12\right)$  
  

•  $3\left(-5a+2b-12\right)$  
  

Factor:

 $14x+25y$ 

•  $7\left(2x+3y\right)$  
  

•  $2\left(7x+13y\right)$  
  

•  $5\left(3x+5y\right)$  
  

• Cannot be factored