Linear Equations, Factoring, and Rearranging Formulas Worksheets Bundle

Five worksheets on the following topics: multiplying out brackets, factorising algebraic expressions, equations with brackets, equations with fractions and rearranging formulae. Detailed solutions are provided.

A comprehensive, scaffolded worksheet bundle covering expanding brackets, factorising expressions, solving linear equations (with brackets/fractions), and changing the subject of a formula. Fully aligned with the Key Stage 3 and GCSE Mathematics curricula, this print-and-go resource includes full, step-by-step worked solutions for every problem to support independent learning and save you hours of marking time!

Simplify your algebra lesson planning and help your pupils build rock-solid foundations with this complete, print-and-go worksheet pack!
Moving from basic variable manipulation to multi-step fractional equations can be a major hurdle for secondary school students. This resource breaks down these essential algebraic skills into clear, scaffolded practice sheets that smoothly guide pupils from basic single-bracket distribution to complex formula rearrangement.
Every single section includes a completely worked-out solution key, making it ideal for independent classwork, homework tasks, revision sessions, or structured cover work!

What’s Included in This 5-Worksheet Bundle?

• Multiplying Out Brackets: Practice expanding single brackets with linear terms, including tricky negative numbers and decimals.
• Factorising Expressions: Master finding the Highest Common Factor (HCF) and factorising expressions cleanly into single brackets.
• Equations with Brackets: Solve multi-step linear equations that require expanding brackets and collecting like terms first.
• Equations with Fractions: Master solving linear equations containing algebraic fractions and rational terms.
• Rearranging Formulae: Step-by-step practice changing the subject of a formula, featuring real-world geometry applications like the area of an open cylinder and a trapezium.
• Complete Answer Key: Fully worked solutions showing every single algebraic step—perfect for pupil self-assessment!

Perfect For:

• Key Stage 3 (Years 7–9): Core algebra mastery, homework assignments, or structured extension tasks.
• Key Stage 4 (Years 10 & 11): Ideal revision material for GCSE Mathematics Foundation & Higher Tier exams (AQA, Edexcel, OCR).
• Independent Study: Excellent for self-guided revision booklets, baseline assessment prep, or easy-to-use cover work.

Curriculum Links:
GCSE Mathematics (Algebra): Simplify and manipulate algebraic expressions (collect like terms, multiply a single term over a bracket, take out common factors); solve linear equations in one unknown (with brackets or fractions); substitute numerical values into formulae; change the subject of a formula.