Algebraic Fractions Quiz

1. Simplify $\frac{2x}{5} \times \frac{10}{4x}$

• A. $1$
• B. $4$
• C. $\frac{1}{2}$
• D. $\frac{20}{9x}$

2. What is the correct common denominator for $\frac{x}{4} + \frac{x}{6}$?

• A. $10$
• B. $24$
• C. $12$
• D. $4$

3. Simplify $\frac{x^2-9}{x+3}$

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

4. Solve $\frac{1}{x} + \frac{1}{2} = 1$ for $x > 0$

• A. $x=1$
• B. $x=2$
• C. $x=0.5$
• D. $x=4$

5. A student simplifies $\frac{x+5}{x}$ to $5$. What error have they made?

• A. Cancelled a common factor correctly
• B. Cancelled the $x$ term incorrectly, as it is not a common factor of the whole numerator
• C. Used the wrong common denominator
• D. Divided instead of multiplying