Simplifying rational expressions Quiz

1. Simplify $\frac{x^2-4}{x^2+5x+6}$.

• A. $\frac{x-2}{x+3}$
• B. $\frac{x+2}{x+3}$
• C. $\frac{-4}{5x+6}$
• D. $\frac{x-2}{x-3}$

2. For which $x$ is $\frac{x+1}{x^2-5x+6}$ undefined?

• A. $x=-1$
• B. $x=2$ only
• C. $x=2$ and $x=3$
• D. $x=-2$ and $x=-3$

3. Divide: $\frac{x^2+3x+5}{x+1}$ equals

• A. $x+3+\frac{2}{x+1}$
• B. $x+2+\frac{3}{x+1}$
• C. $x+2+\frac{5}{x+1}$
• D. $x+1+\frac{4}{x+1}$

4. Which is a factor of $x^3-27$?

• A. $x+3$
• B. $x^2-3x+9$
• C. $x^2+3$
• D. $x-3$

5. Solve $\frac{x-1}{x+2}=3$.

• A. $x=-\frac{7}{2}$
• B. $x=-2$
• C. $x=\frac{7}{2}$
• D. $x=-\frac{5}{2}$