

A worksheet on solving linear equations in one variable that are written as proportions. The method of cross multiplication is used. There are 20 problems and detailed solutions are included.
Are you looking for a comprehensive, no-prep resource to help your students master solving equations with proportions? This Solving Equations with Proportions Worksheet features 20 carefully sequenced problems designed to build confidence from basic proportions to multi-step equations with variables on both sides!
This multi-page assignment is perfect for daily practice, independent classwork, homework, revision, or targeted maths intervention. Just print and pass it out!
What is Included in This Resource?
This comprehensive practice packet is structured to support student learning:
- Step-by-Step Problem Progression: Problems start with standard numerical proportions and advance into complex algebraic equations with unknowns on both sides or binomial numerators.
- Generous Workspace: The student pages are cleanly formatted with dedicated boxes for each question, leaving plenty of room for students to show their cross-multiplication work.
- Complete Solution Key: Fully worked-out, step-by-step answers are included for all 20 problems, making marking incredibly fast or allowing for student self-checking!
Curriculum & Educational Standards Covered
- Key Stage 3 (KS3) & Key Stage 4 (KS4) Maths: Aligns perfectly with the National Curriculum algebra requirements for setting up, manipulating, and solving linear equations with fractional terms.
- GCSE Mathematics (Foundation & Higher): Excellent for reinforcing algebraic fractions and proportional reasoning across all UK exam boards (AQA, Edexcel, OCR). It ensures students can confidently cross-multiply and solve for an unknown before moving on to harder algebraic fraction equations.
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