Rational expressions Quiz

1. Simplify $\frac{x^2-16}{x^2+x-12}$.

• A. $\frac{x+4}{x-3}$
• B. $\frac{x-4}{x-3}$
• C. $\frac{x-4}{x+3}$
• D. $\frac{-16}{x-12}$

2. Which simplification is valid?

• A. $\frac{x+3}{x+5}=\frac35$
• B. $\frac{x^2+1}{x^2+2}=\frac12$
• C. $\frac{x+4}{4}=x$
• D. $\frac{2x+6}{x+3}=2$

3. Simplify $\frac{x}{x+1}\times\frac{x^2-1}{x^2}$.

• A. $\frac{x+1}{x}$
• B. $\frac{x}{x-1}$
• C. $\frac{x-1}{x}$
• D. $1$

4. Write $\frac{x^2+3x+5}{x+1}$ in the form $ax+b+\frac{c}{x+1}$.

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

5. For which values of $x$ is $\frac{x-5}{x^2-9}$ undefined?

• A. $x=3$ only
• B. $x=3$ and $x=-3$
• C. $x=-3$ only
• D. $x=5$