Rational Expressions short assessment

Multiply and Simplify 

• 4(x+3)/(x+2),
• (x+2)/4(x+1)
• (x+2)/4(x+3),
• 4(x+1)/(x+2), 

Simplify. 

• (m+6)/(m-3)
• 7/(m-3)
• 7(m+6)
• (m-3)

Simplify  $\frac{1}{n+5}\times\frac{n^2+2n-15}{n-8}$  

•  $\frac{n-3}{n-8}$  

•  $\frac{n-3}{\left(n+5\right)\left(n-8\right)}$  

•  $\frac{n^2+2n-15}{\left(n+5\right)\left(n-8\right)}$  

•  $\frac{n^2+2n-14}{2n-3}$  

 $\frac{m^2+m-30}{m^2+13m\ +42}\div\frac{m-2}{m+7}$  Simplify

•  $\frac{m-5}{m-2}$  

•  $\frac{\left(m-5\right)\left(m-2\right)}{\left(m+7\right)^2}$  

•  $\frac{m^2+2m-32}{m^2+14m+49}$  

•  $\frac{-5}{2m^2}$  

Which value of x makes the expression undefined?

• -2
• 2
• -6
• -3

Simplify by cancelling

• 1
• -1
• Can't be simplified

Solve the following: $\frac{2}{x-3}=\frac{5}{2x+1}$   

•  $x=17$  

•  $x=\frac{17}{9}$  

•  $x=-17$  

•  $extraneous\ \ \ \ solution\left(s\right)$  

Solve the following: $\frac{3}{x+1}=\frac{1}{x}$   

•  $x=2$  

•  $x=\frac{1}{2}$  

•  $x=-2$  

•  $extraneous\ \ \ \ solution\left(s\right)$  

Solve the following: $\frac{x}{x+3}=\frac{8}{x+6}$   

•  $x=-4$  

•  $x=6$  

•  $x=-4,\ 6$  

•  $extraneous\ \ \ \ solution\left(s\right)$  

Simplify. 

• A
• B
• C
• D