1. Algebraic Techniques

Rational Expressions — Quiz

Test your understanding of rational expressions with 5 practice questions.

Practice Questions

Question 1

When solving a rational equation, after identifying excluded values, what is the next crucial step to ensure a valid solution?

Question 2

Given the rational equation $ \frac{x}{x-2} - \frac{1}{x} = \frac{2}{x(x-2)} $, what are the excluded values and the solution for $ x $?

Question 3

What is the result of simplifying the complex rational expression $ \frac{1 - \frac{1}{x}}{1 - \frac{1}{x^2}} $?

Question 4

When adding the rational expressions $ \frac{x}{x^2 - 3x + 2} $ and $ \frac{1}{x-2} $, what is the least common denominator (LCD)?

Question 5

What is the result of subtracting $ \frac{x+2}{x^2 - 4x + 4} - \frac{1}{x-2} $?