Multiplying and Dividing Rational Expressions Worksheet with Answer Key

What's on the worksheet

1. Multiply the rational expressions and state the excluded values:
   \dfrac{8x^3}{15y} \cdot \dfrac{25y^2}{12x}\dfrac{x^2 - 25}{x^2 + 3x} \cdot \dfrac{3x + 9}{x + 5}\dfrac{4 - x^2}{x^2 + 4x + 4} \cdot \dfrac{3x + 6}{x - 2}
2. Divide the rational expressions and state the excluded values:
   \dfrac{9x^2}{x + 4} \div \dfrac{6x}{x^2 - 16}(x^2 - 7x + 10) \div \dfrac{x - 5}{x + 2}\dfrac{9x^2 - 4}{x^2 + 6x + 9} \div \dfrac{3x^2 + x - 2}{x^2 - 9}
3. Divide one rational expression by another and state every excluded value.
4. Find the mistake in Mei's division of two rational expressions.
5. Word problem: Naomi's average speed on a training run as a rational expression.
6. Simplify a chain of division and multiplication left to right and compare with Lucas's reading.
7. Find what is wrong with the order in which Ethan canceled a factor while dividing.