3. Rational and Radical Functions
Solving Rational Equations — Quiz
Test your understanding of solving rational equations with 5 practice questions.
Practice Questions
Question 1
When solving a rational equation, which of the following operations is most likely to introduce extraneous solutions?
Question 2
Solve the rational equation $ \frac{2}{x-1} + \frac{1}{x+1} = \frac{4}{x^2-1} $ for $ x $.
Question 3
Given the equation $ \frac{x}{x-2} = \frac{2}{x-2} + 3 $, what is the solution set for $ x $?
Question 4
Which of the following rational equations has an extraneous solution of $ x = -2 $?
Question 5
Consider the equation $ \frac{1}{x-3} + \frac{x}{x+2} = \frac{x^2-x+7}{(x-3)(x+2)} $. What is the solution for $ x $?