Solving Equations: One-Step, Two-Step, Fractions & Parentheses Worksheet

A worksheet on solving linear equations. The exercises involve simple linear equations, linear equations with brackets and linear equations with fractions. Detailed solutions are included.

Master solving linear equations with this comprehensive, ready-to-print maths worksheet featuring complete step-by-step worked solutions! This resource features a perfectly scaffolded math progression, taking students seamlessly from basic one-step and two-step equations to complex multi-step linear equations involving brackets, expanding terms, and advanced algebraic fractions. Perfect for KS3 and KS4 Mathematics, this print-and-go packet is ideal for structured classwork, homework, revision, or targeted exam preparation.

Looking for a rigorous, naturally scaffolded resource to help your students build total fluency in solving linear equations?
This comprehensive practice worksheet is designed to take students from foundational algebraic operations to master-level multi-step problem solving. Perfect for KS3 and KS4 Mathematics (including GCSE foundation and higher tiers), this packet naturally builds conceptual and structural understanding by grouping equations into logical, progressive steps.

What’s Included:
• Section 1: Foundational Equations – Starts with basic one-step and two-step inverse operations, then moves into linear equations requiring collecting like terms with variables on both sides.
• Section 2: Equations with Brackets – Focuses entirely on expanding single and double brackets, distributing negative numbers correctly, and collecting like terms safely.
• Section 3: Equations Involving Fractions – Challenges students with rational number coefficients, clearing multi-level denominators, and working through advanced algebraic fractions smoothly.
• Complete Worked Mark Scheme – Fully worked, line-by-line mathematical solutions are provided for every single question, making grading effortless for you or allowing students to easily self-assess.

Why Teachers Love This Resource:
• No Prep Required: Simply print the layout sheets and you are completely ready for a full lesson, homework assignment, cover plans, or revision station.
• Naturally Scaffolded: Problems start straightforward and slowly add mathematical complexity, preventing student frustration while keeping rigor high.
• Spacious Formatting: The clean layout gives students plenty of physical space to write out every analytical step of their calculations clearly.

Curriculum Fit:
• KS3/KS4 Mathematics: Perfectly covers core algebra objectives, specifically solving linear equations with one variable, expanding brackets, and simplifying equations containing fractional algebraic terms. Fully aligned with Edexcel, AQA, and OCR specifications.