Rational Expressions Practice Test

Factor before canceling, preserve restrictions, combine fractions with LCDs, and simplify complex rational expressions.

Rational Expressions Practice Test

This test has 20 questions

About This Rational Expressions Practice Test

The test covers the full range of algebraic work with rational expressions: simplifying, multiplying, dividing, adding, subtracting, evaluating, and finding excluded values.

It also includes complex fractions and reciprocals, where domain restrictions can expand after an expression is inverted.

Skills Covered

Factoring, cancellation, LCDs, multiplication and division, complex fractions, reciprocals, evaluation, and excluded values.

Key Ideas

  1. Cancel factors, never terms inside a sum.
  2. Keep restrictions from the original expression.
  3. Invert only the divisor when dividing.
  4. Use the least common denominator for addition and subtraction.

Common Mistakes to Avoid

Do not erase a restriction after cancellation or add numerators and denominators directly.

Practice Format

Each question has four answer choices. The explanation shows the method, completes the algebra, states the conclusion, and explains why every distractor is incorrect.