

A worksheet on solving linear equations. It contains one-step equations, two-step equations, equations with brackets, equations with the variable on both sides and equations with fractions. Detailed solutions are included.
A comprehensive, no-prep resource packed with 30 scaffolded algebraic equations to master solving linear equations. This progressive worksheet seamlessly guides pupils from basic 1-step equations up to complex multi-step fractional equations. Ideal for Key Stage 3 and Key Stage 4 (GCSE Foundation/Higher) maths revision, this print-ready resource includes a complete, step-by-step handwritten-style memorandum/answer key to support independent learning and hassle-free peer assessment!
Transform your algebra lessons with this complete, scaffolded Linear Equations Practice Worksheet pack!
Whether your pupils are just learning to isolate a single variable or need a rigorous extension challenge involving the distributive law and rational coefficients, this 30-problem packet provides the perfect pathway. It is structured to progressively build student confidence, making it ideal for independent classwork, homework assignments, targeted intervention blocks, or emergency cover lessons.
What is Included?
• 30 Scaffolded Maths Problems: Carefully sequenced from easy to hard across 5 ready-to-print student pages.
• Complete Step-by-Step Solutions: 4 dedicated answer pages showing every single algebraic step—perfect for self-checking, independent study, or displaying live on the board!
• Zero-Prep Download: Just print and you are ready to teach!
The Progressive Mastery Path
• Problems 1–6: Foundational 1-step equations involving addition, subtraction, multiplication, and basic division fractions.
• Problems 7–14: Standard 2-step equations and introduction to simple single-bracket expansion.
• Problems 15–22: Multi-step equations requiring variables on both sides, expanding brackets, and collecting like terms.
• Problems 23–26: Multi-step equations featuring cross-multiplication and clearing basic denominators.
• **Problems 27–30: **Advanced fractional equations with rational number coefficients to push higher-tier mastery.
Curriculum Focus & Target Audience
• Key Stage 3 (Ages 11–14 / Years 7–9): Perfect for core teaching, fluency drilling, and algebra introduction.
• Key Stage 4 / GCSE (Ages 14–16 / Years 10–11): Excellent for Foundation tier retrieval or Higher tier remediation.
• Core Skill: Algebraic proficiency, algebraic fractions, expanding brackets, and rearranging linear expressions.
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