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Expanding brackets and factoring worksheet no 2 (with solutions)

Expanding brackets and factoring worksheet no 2 (with solutions)

Subject: Mathematics

Age range: 14-16

Resource type: Worksheet/Activity

Last updated

25 October 2026

pdf, 83.25 KB
pdf, 83.25 KB

A worksheet on expanding brackets and factoring algebraic expressions. 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.

Bundle

Algebra 1 Expanding Brackets & Factoring Polynomials Worksheets with Answers

Three worksheets on expanding brackets and factoring. Detailed solutions are provided. Master expanding brackets and factorising quadratic expressions with this 3-worksheet bundle! Complete with full step-by-step answers, it is perfect for KS3, KS4, GCSE Maths revision, homework, or cover work. ________________________________________ Master Expanding Brackets and Factorising Expressions with Ease! Are your students struggling with expanding single and double brackets, or getting confused when factorising algebraic expressions? Save hours of planning with this comprehensive 3-Worksheet Algebra Practice Bundle. Designed for progressive skill mastery, these worksheets bridge the gap between basic expansion and advanced quadratic factorisation. Perfect for KS3 (Key Stage 3), KS4 (Key Stage 4), and GCSE Maths revision, this bundle gives your students the targeted practice they need to build fluency and confidence. ________________________________________ **What’s Included in This Bundle?** * **Worksheet 1: Expanding & Factorising Linear Expressions** – Covers basic single-bracket expansion, multi-step expansion with collecting like terms, and factorising expressions with a common numerical factor or variable GCF. * **Worksheet 2: Advanced Expanding & Double Brackets** – Features expanding double brackets, complex variable distribution, and fully factorising expressions with multiple variables and indices. * **Worksheet 3: Factorising Quadratic Expressions** – Transitions students into factorising binomials, difference of squares, and quadratic trinomials. ________________________________________ **Perfect For:** * Independent Practice & Homework – Clear layouts allow students to work independently. * GCSE Exam / Revision Prep – Excellent for a quick starter or review session before assessments. * Cover Work / Cover Lessons – No-prep required! Just print and hand out to your supply teacher. * Differentiated Intervention – Great for scaffolding concepts for struggling learners or foundation students. ________________________________________ **Complete Step-by-Step Answer Keys Included!** Take the stress out of marking. Every single worksheet features a complete, matching solution key with step-by-step breakdowns. This makes it ideal for quick teacher marking or student self-assessment! ________________________________________ **Curriculum Mapping:** * Perfect alignment with the UK National Curriculum for Mathematics (Algebra focus). * Directly covers essential AQA, Edexcel, and OCR GCSE Maths specification objectives for both Foundation and Higher tiers. ________________________________________

£3.10
Bundle

Quadratic Factorisation Worksheets Expand Monic Non Monic Algebra Practice

Master expanding brackets and quadratic factorisation with this comprehensive algebra practice bundle designed for middle and high school students. This extensive resource covers single and double bracket expansions, factorising binomials, difference of two squares, perfect squares, and both monic and non-monic quadratic expressions, complete with step-by-step teacher answer keys. Ideal for math classwork, homework assignments, quizzes, test prep, or independent review. **What is included in this bundle:** - Expanding single and double algebraic brackets - Simplifying complex algebraic expressions and collecting like terms - Factorising linear and quadratic binomials - Solving monic and non-monic quadratic equations by factorising - Difference of two squares and perfect square trinomials - Comprehensive step-by-step teacher answer keys showing full working out Designed for effortless integration into your curriculum, these scaffolded worksheets provide students with the repetitive and varied practice needed to build strong foundational algebra skills. Whether used for initial instruction or targeted remediation, this bundle equips teachers with zero-prep materials that drive student success.

£8.90
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Percentages, Indices & Factorisation Worksheets Bundle GCSE Algebra

Master percentages, indices, and algebraic factorisation with this comprehensive 8-worksheet bundle designed for GCSE and IGCSE math students! This extensive collection covers essential algebra and number topics, guiding students from foundational concepts to advanced problem-solving without calculators. **What is included:** * Converting between percentages, fractions, and decimals * Percentage increase, decrease, and reverse percentage problems * Index notation, negative indices, and fractional exponents * Multiplication and division index laws and exponential equations * Expanding single and double brackets * Factorising linear expressions and simple quadratics * Advanced quadratic factorisation and difference of two squares * Full step-by-step answer keys for every worksheet

£7.90
Bundle

20 GCSE/IGCSE Algebra worksheets (with solutions)

Help your secondary students master the most challenging aspects of algebraic manipulation with this extensive, high-quality worksheet pack. Designed to build procedural fluency and conceptual confidence, this resource flows logically from foundational skills to advanced GCSE Higher tier topics.It is an ideal resource for **Key Stage 3 (Extension), Key Stage 4 (GCSE Foundation/Higher, IGCSE), and AS-Level bridging work.** **What’s Included?** This comprehensive PDF pack includes structured question sections covering three vital algebraic concepts: **1. Adding and Subtracting Algebraic Fractions (40 Questions)** * **Level 1**: Common numerical denominators and basic simplification. * **Level 2:** Different numerical denominators with linear expression numerators requiring expansion. * **Level 3**: Linear algebraic denominators requiring a common algebraic base (e.g. \(\frac{3}{x-2} - \frac{4}{x+3}\) ) (p. 2). * **Level 4 (Grade 7-9)**: Quadratic denominators requiring factoring first before finding the lowest common multiple. **2. Rearranging Formulae / Changing the Subject (18 Questions)** * **Level 1:** Formulae involving square roots, fractions, and multi-step inverse operations. * **Level 2 (Grade 8/9):** Complex manipulation where the subject appears multiple times, requiring expansion, grouping common terms, and factorising out the subject. **3. Equations with Algebraic Fractions (20 Questions)** * **Level 1:** Solving linear fractional equations by clearing the denominators. * **Level 2:** Solving advanced equations that simplify into quadratics, requiring either factorisation or the quadratic formula to solve. **4. Expanding & Factorising Quadratics** * Supplemental targeted practice on expanding double brackets and simplifying expressions. **Key Features** ✔ **Full Worked Solutions Included:** Every question comes with a comprehensive, step-by-step written solution. Perfect for quick self-marking, peer assessment, or displaying on your interactive whiteboard. ✔ **Highly Scaffolded:** Tasks naturally progress in difficulty, allowing students to build up to Grade 9/A* style questions seamlessly. ✔ **Zero Preparation:** Simply download, select the pages you need, print, and teach! **Ideal For:** * **Main Lesson Practice**: Ideal for independent classwork following a teacher explanation. * **Homework & Revision:** Excellent for consolidation leading up to mock exams or final assessments. * **Cover Lessons:** Clear sequencing and comprehensive answer keys make this completely self-contained for supply or cover staff. * **Flipped Learning / Homework**: Perfect for independent study or remote learning tasks. **File Type**: PDF **Pages:** Complete bundle with question sheets and full answer keys.

£17.90

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