Factoring Expressions

Use the distributive property to choose an equivalent expression.

3(2x+8)

• 2x+24

• 6x+24

• 6x+8

• 5x+11

 $\frac{1}{2}\left(4a+b+12\right)$  

Use the distributive property to write an equivalent expression.  

•  $8a+2b+24$  
  

•  $2a+b+6$  

•  $2a+\frac{1}{2}b+6$  
  

•  $2a+\frac{1}{2}b+12$  
  

 $4\left(-2x-6\right)$  

Which answer choice is equivalent to:

•  $-8x+24$  
  

•  $-8x\ -24$  
  

•  $8x\ -24$  
  

•  $8x+\left(-24\right)$  

 $-2\left(-4x+6y-3\right)$  

Use the distributive property to write an equivalent expression.  Choose all that apply.  

•  $8x+\left(-12y\right)-3$  

•  $8x+\left(-12y\right)+6$  

•  $8x+6y-3$  

•  $8x\ -12y+6$  

 $\frac{1}{5}\left(10x-15y-3\right)$  

Use the distributive property to write an equivalent expression.

•  $2x+3y+\frac{3}{5}$  

•  $2x-3y-\frac{3}{5}$  

•  $2x-10y-\frac{3}{5}$  

•  $10x-75y-\frac{1}{5}$  

Factor:
12x + 9

• 3(4x + 3)
• x(12+9)
• 3(4x - 3)
• not factorable

Factor:

17xy - x

• 17(xy - x)

• y(17x - x)

• x(17y - 1)

• Can't be factored

Factor:  
4x + 30y

• 2(x + 15y)
• 4(x + 15y)
• 2(2x + 15y)
• can't be factored

Factor:  
7x + 48y

• 7(x + 7y)
• 7(x + y)
• can't be factored
• 7(x + 48y)

Factor:  
2x + 18

• 2(x + 9)
• 2(x + 8)
• 2(2x + 9)
• cannot be factored