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Factorising algebraic expressions (introductory) worksheet no 3 (with solutions)

Factorising algebraic expressions (introductory) worksheet no 3 (with solutions)

Subject: Mathematics

Age range: 11-14

Resource type: Worksheet/Activity

Last updated

18 July 2026

pdf, 77.12 KB
pdf, 77.12 KB

An introductory worksheet on factorising linear algebraic expressions by taking out the highest common factor of the terms. Detailed solutions are included.

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A bundle is a package of resources grouped together to teach a particular topic, or a series of lessons, in one place.

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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. ________________________________________

£3.80
Bundle

Factoring Linear Expressions Worksheets Distributive Property and Answer Keys

Three introductory worksheets on factorising linear algebraic expressions by taking out the highest common factor of the terms. Detailed solutions are included. Master the distributive property and factorising linear equations with this complete, zero-prep algebraic expressions worksheet pack featuring three extensive resource sets and full step-by-step solution keys. It provides targeted, scaffolded practice exercises directly covering everything from finding the highest common factor (HCF) to factorising basic linear expressions and collecting like terms before factorising. **Why Teachers Love This Resource** * Save hours of planning and preparation time. * Complete line-by-line solutions provided for easy marking. * Built-in skill scaffolding structure for easy differentiation. * Perfect resource for secondary maths mastery centers. * Ideal option for starter morning work or warm-ups. * Simplified homework tracking and independent practice layout. **What Is Included in This Resource Pack** * **Set 1: Highest Common Factor (HCF) foundational tracking sheets.** Mixes number pairs cleanly to build a strong procedural baseline. * **Set 2: Introduction to factorising linear expressions.** Focuses on pulling out single-digit and double-digit common factors smoothly. * **Set 3: Advanced mixed topic reviews.** Integrates multi-step problems requiring students to simplify by collecting like terms before factorising. * **Answer Keys: Step-by-step solution breakdowns for all three sections.** Ideal for student self-directed marking and rapid teacher evaluation. **Explore More Maths Resources** If you found this resource helpful, click on our author shop profile to browse our full collection of secondary maths packs, lesson slides, and interactive assessment tools. Don't forget to leave a review if your students enjoyed using these worksheets!

£2.80
Bundle

Year 9 Percentages-Equations-Formulae Worksheets (with solutions)

Eight worksheets for Year 9 students on the following topics: * Calculating the original value * Percentage increases and decreases * Simple interest * Equations with brackets * Equations with fractions * Factorising algebraic expressions * Multiplying out brackets * Rearranging formulae Detailed solutions are included.

£4.95
Bundle

Factoring algebraic expressions Bundle 2

Six worksheets on factoring algebraic expressions. The exercises require factoring simple binomials, differences of two squares, perfect squares and trinomials with their leading coefficient equal to one. Good for GCSE/IGCSE students. Solutions are included.

£4.85

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