Students simplify rational expressions by factoring polynomials, preserving denominator restrictions, and multiplying or dividing by canceling common factors rather than individual terms. They add and subtract rational expressions by finding a least common denominator, combining numerators correctly, and working with linear or common quadratic factors. They determine valid domains, solve simple rational equations by clearing denominators, reject extraneous solutions through checks in the original equation, and interpret rational expressions as rates, proportions, or relationships in context.
On this page:
- Master skills like “Subtract rational expressions”, “Check for extraneous solutions”, and “Solve simple rational equations” with unlimited, free practice problems
- Download (or modify) free worksheets on Rational Expressions and Equations you can use at home or in class with practice problems across all skills in this group including “Simplify rational expressions by factoring”, “Determine restrictions on rational expressions”, “Add rational expressions with common denominators”.
- Start working on adaptive units like “Polynomials and Quadratics - Practice” or “Polynomials and Quadratics - Advanced” that include these skills and will introduce and scaffold the skills carefully for maximum learning.
Rational Expressions and Equations: Individual Skills
Master 7 individual skills with free practice problems. Mouseover to see the skill's practice problems. Create a free account to track your progress.
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Practice 'Add rational expressions with common denominators'
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Download/Modify Free Grade 11 'Rational Expressions and Equations' Worksheet
Print this free 'Rational Expressions and Equations' worksheet to practice these skills away from the computer. Click 'Modify' to easily customize this worksheet to your exact needs.
This Worksheet Includes:
- Add rational expressions with common denominators
- Add rational expressions with unlike denominators
- Check for extraneous solutions
- Determine restrictions on rational expressions
- Simplify rational expressions by factoring
- Solve simple rational equations
- Subtract rational expressions
Units Teaching These Skills
These adaptive units introduce, teach, or reinforce skills in this group (Rational Expressions and Equations) through scaffolded problems that grow in difficulty as concepts are understood.