1. Foundations and Review

Rational Expressions — Quiz

Test your understanding of rational expressions with 5 practice questions.

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Practice Questions

Question 1

Which of the following is the simplified form of the rational expression $ \frac{x^2 - 2x - 3}{x^2 - 9} $?

Question 2

What are the restrictions on the variable $ x $ for the rational expression $ \frac{x^2 - 16}{x^2 - 4x} $?

Question 3

Multiply the rational expressions: $$ \frac{x + 2}{x^2 - 4} \cdot \frac{x - 2}{x + 5} $$

Question 4

Divide the rational expressions: $$ \frac{x^2 - 25}{x^2 - 4x} \div \frac{x + 5}{x - 4} $$

Question 5

Solve the equation: $$ \frac{x}{x + 1} + \frac{2}{x + 1} = 3 $$