Multi-Step Equations with Distributive Property Worksheet & Answer Key | 8th

A worksheet on solving linear equations with brackets There are 24 problems and detailed solutions are included.

Looking for a comprehensive, no-prep practice worksheet pack to help your pupils master solving linear equations involving brackets?

This massive 24-question practice resource is specifically engineered to build ultimate algebraic fluency. It features a perfectly scaffolded progression of skills—starting with simple single-bracket expansion and smoothly transitioning into complex expressions with multiple sets of brackets, negative distributions, and variables on both sides of the equal sign.

Perfect for Key Stage 3 (KS3) or Key Stage 4 (KS4) curriculum delivery, as well as essential GCSE foundation and higher maths revision!

What’s Included:

• Pages 1–3 (24 Scaffolded Questions): A crisp, beautifully organized layout featuring large, clear question boxes that give pupils plenty of space to write out their work.
  Questions 1–10: Foundational multi-step equations requiring a single expansion step (with positive and negative constants).
  Questions 11–16: Progressively challenging equations introducing collecting like terms, multi-step expansion, and basic unknowns on both sides.
  Questions 17–24: Advanced combinations featuring multiple sets of brackets, negative coefficient expansion, and deep term grouping on both sides to test ultimate concept mastery.
• Full Step-by-Step Answer Key: Pages 4–6 contain a complete, beautifully written solutions guide showing every single algebraic step (expanding expressions, inverse operations, collecting like terms, and sign rules) for all 24 questions. This makes marking incredibly fast or allows for flawless pupil self-checking!

How to Use This in Your Classroom:

• Independent Classwork or Multi-Lesson Homework / Prep Assignment Packet
• End-of-Unit Revision, Exam Prep, or Comprehensive Assessment Review
• Maths Mastery Workshops, Choice Boards, or Rotation Stations
• Emergency Cover Plans (the detailed answer key handles the teaching for you!)
• Small Group Intervention and Maths Remediation

Educational Standards & Curriculum Alignment:
UK National Curriculum (Key Stage 3 & 4 Mathematics):

• Algebra: Model situations or procedures by translating them into algebraic expressions or formulae and by using linear equations.
• Solve linear equations in one variable algebraically (including those with the unknown on one or both sides, with brackets, or containing fractions).