Excluded Values Practice Test
20 domain-restriction questions with worked explanations.
Find every input that makes an original denominator zero or a rational divisor invalid.
20 domain-restriction questions with worked explanations.
Excluded values are inputs for which an original rational expression is undefined. They come from denominator zeros and remain excluded even when a factor later cancels during simplification.
This test includes linear, quadratic, repeated, and fully factored denominators; expressions with several fractions; simplified expressions with retained restrictions; and rational expressions used as divisors.
You will factor denominators, solve zero-factor equations, combine restrictions from several fractions, retain canceled exclusions, recognize denominators with no real zeros, and exclude zeros of a divisor.
Common errors include using numerator zeros, reversing signs in linear factors, forgetting one denominator in a sum, dropping restrictions after cancellation, assuming every quadratic has real zeros, and checking only where a divisor is undefined but not where it equals zero.
Use this free 20-question test for classroom review, tutoring, homework support, exam preparation, or independent practice. Each response is followed by an explanation, and the test can be repeated without registration.