

A worksheet on solving one-step, two-step and multi-step equations with fractions. The equations involve operations with positive and negative integers. There are 24 problems and detailed solutions are included.
This comprehensive, scaffolded worksheet packet is designed to take the stress out of teaching linear equations with rational coefficients. It guides Key Stage 3 and Key Stage 4 students seamlessly from simple one-step fractional equations all the way to complex multi-step problems featuring variables on both sides, expanding brackets over fractions, and clearing denominators.
Perfect for GCSE Maths preparation, this resource provides clear, step-by-step practice that builds confidence and algebraic fluency.
What’s Included in This Resource:
- Scaffolded Practice Sheets: Carefully organised problems that increase in difficulty to help students build skills progressively.
- Full Answer Key: Includes complete, step-by-step worked solutions for every single problem to save you hours of marking or to allow for student self-checking.
Skills Covered Step-by-Step:
- One-Step Equations: Solving simple equations with fractional answers or clearing basic denominators.
- Two-Step Equations: Isolating variables by adding/subtracting fractions and multiplying to solve.Multi-Step Equations: Collecting like terms, expanding brackets over fractions, and solving equations with variables on both sides of the equals sign.
Perfect For:
- Independent Classwork or Homework Packets
- KS3 Mastery & GCSE Foundation/Higher Tier Intervention
- Cover Lessons / Emergency Cover Work
- Maths Stations & Small Group Support
- End-of-Unit Revision or Exam Prep
Curriculum Alignment (UK National Curriculum & GCSE):
- KS3 Mathematics: Algebra – Solve linear equations in one variable containing fractions.
- KS4 / GCSE Maths (Foundation & Higher): Solve linear equations in one variable note-form, including those with fluid fraction terms, expanding brackets, and collecting terms on both sides.
Why Teachers Love This Resource:
“Finding high-quality, step-by-step equation practice with fractions can be tough. This packet scaffolds the algebra perfectly so students don’t get overwhelmed by the fractional steps!”
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