Factoring and Rational Expressions Review Worksheet with Answer Key | Algebra 2

A worksheet on factorizing expressions be extracting a common factor, by grouping, by using the quadratic formula or algebraic identities. The exercises also require to simplify algebraic fractions, composite algebraic fractions or expressions involving multiplication or division between algebraic fractions and solve quadratic equations or equations with algebraic fractions. Detailed solutions are included.

Master algebraic fractions and factorisation with this no-prep revision worksheet! Covers quadratics, polynomial grouping, simplifying complex algebraic fractions, and solving rational equations. Includes full worked solutions.
Main Resource Description (TES)
Looking for a thorough, high-level resource to prepare your classes for advanced algebra assessments? This printable Factorisation and Algebraic Fractions Revision Worksheet offers intensive practice to help your GCSE Higher, A-Level transition, or National 5 Maths students master polynomial manipulation.
This is a no-prep, printable PDF resource, meaning you can simply download, print, and hand it straight to your classes! It is excellent for deep-dive independent revision, homework tasks, or formal exam preparation.

What’s Included?
• 3 Pages of Rigorous Student Exercises: High-density layouts featuring multi-step algebraic expansion, fraction reduction, and structural problem-solving.
• 10 Pages of Full, Step-by-Step Worked Solutions: A complete, beautifully laid-out marking guide displaying every factorisation stage, fraction cancellation, and quadratic root calculation. Perfect for quick teacher marking or student self-assessment!

Comprehensive Skills Covered
• Polynomial Factorisation: GCF isolation, quadratic trinomials, difference of two squares, grouping, and handling cubic identities.
• Simplifying Algebraic Fractions: Multiplying, dividing, and simplifying complex rational expressions containing multi-variable parameters.
• Solving Quadratic Equations: Solving by factorisation, removing common factors, and identifying zero-product roots.
• Solving Rational Equations: Managing variable denominators, finding lowest common denominators (LCM), and handling complex fractional algebraic equations.