Algebra 2: 4.1 and 4.2 comprehension check

Simplify the following rational expression:

 $\frac{x^2-6x+9}{2x-6}$  

Which of the following are the excluded values of x (or restrictions) for the expression, Check all that apply:

 $\frac{2x^2-5x-7}{2x^2+2x}$  

• 0

• -2

• 7

• 1

• -1

Simplify:

 $\frac{5xy^2}{10xy^3}$  

•  $\frac{2}{y}$  

•  $\frac{y}{2}$  

•  $\frac{2x}{y}$  

•  $\frac{5}{10xy}$  

•  $\frac{1}{2y}$  

Multiply:

 $\frac{18x^3}{x-5}\cdot\frac{x^2-6x+5}{6x^4}$  

Divide:

 $\frac{6y-12}{5y+5}\div\frac{y^2-4}{y+1}$  

Simplify:

 $\frac{x^3+8}{x^2+4x+4}$  

•  $\frac{x^2-2x+4}{x+2}$  

•  $\frac{x^2+2x+4}{x+2}$  

•  $\frac{x+2}{x+4}$  

•  $x+2$