How many questions are in this quiz?

This quiz has 59 questions on simplifying rational expressions and stating restrictions.

Do I need to state restrictions even after simplifying?

Yes. Restrictions come from the original denominators, even if a factor cancels in the simplified form.

What is the quiz format?

Each question has 4 options and there is no timer, so you can take your time and double-check factoring and restrictions.

What’s the most common mistake with rational expressions?

Canceling terms instead of factors is the big one. Always factor first, then cancel only common factors.

How do I choose the length and difficulty?

Use the start panel to set your preferred question count and select a difficulty (or Mixed) based on how much challenge you want.

Simplify rational expressions with restrictions

About this quiz

What you’ll practice

This Algebra quiz focuses on simplifying rational expressions correctly and listing the restrictions (excluded values) that make denominators zero.

Each question is multiple-choice with 4 options and no timer, so you can work carefully through factoring, cancellation, and domain checks.

Common pitfalls to avoid

A frequent mistake is canceling terms that aren’t factors (you can only cancel common factors, not parts of a sum). Another is forgetting to state restrictions from the original denominator, even after simplification.

Factor completely before canceling (GCF, trinomials, difference of squares)
Write restrictions from the original expression, not just the simplified one
Cancel factors only, never individual terms inside addition/subtraction
Watch for sign errors when factoring out negatives
Check for values that make any denominator zero after factoring

Difficulty and settings

Difficulty is balanced across easy, medium, and harder items: you’ll see straightforward cancellations alongside problems that require multi-step factoring and careful restriction tracking.

Before you start, pick your question count and choose a difficulty level (or keep Mixed) to tailor the practice to your goals—quick review, steady skill-building, or a full challenge set.