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Expanding brackets and collecting like terms worksheet (with solutions)

Expanding brackets and collecting like terms worksheet (with solutions)

Subject: Mathematics

Age range: 11-14

Resource type: Worksheet/Activity

Last updated

6 August 2026

pdf, 79.57 KB
pdf, 79.57 KB

A worksheet on simplifying expressions by expanding brackets and collecting like 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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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
Bundle

Expanding Brackets Algebra Bundle: Single, Double & Collecting Like Terms

Master algebraic simplification with this comprehensive, ready-to-print worksheet bundle! Designed to build confidence and fluency, this resource takes students step-by-step through expanding single brackets, collecting like terms, and expanding double brackets. Complete, worked-out solutions are included for every single problem. Master algebraic expansion with this complete three-pack worksheet bundle. Perfect for Key Stage 3 (KS3) and GCSE Maths revision, these practice packs build complete confidence in expanding single brackets, double brackets, and collecting like terms. Full teacher worked solutions are included! ________________________________________ Stop spending hours formatting complex algebra revision sheets. This comprehensive Expanding Brackets Algebra Bundle: Single, Double & Collecting Like Terms is designed to build complete mastery. It moves students seamlessly from basic single bracket expansion to high-rigour, multi-step polynomial simplification. Perfect for introducing core algebra skills at Key Stage 3 or as a comprehensive revision packet for Key Stage 4 GCSE Foundation and Higher tiers. **What is Included in this Pack?** • **Expanding Single Brackets:** Progresses from basic integers to variables with indices (like x^2) and negative multiplier terms. • **Expanding Double Brackets:** Features extensive binomial practice, leading to higher-order polynomials like (4x^2 + 1)(x + 4). • **Expanding & Collecting Like Terms:** Helps students master long-form linear expansion and simplification by cleanly combining coefficients and constants. • **Detailed Step-by-Step Worked Solutions:** Comprehensive answer sheets showing every single stage of the calculation—perfect for cover work, busy teachers, or student self-assessment. **Key Skills & Concepts Covered** • **Single Bracket Distribution:** Multiplying positive and negative integers across a single set of brackets. • **Binomial Expansion:** Mastering the grid or FOIL method to expand double brackets smoothly. • **Simplifying Polynomials:** Simplifying multi-step algebraic strings by expanding and collecting like terms while watching out for tricky negative signs. **Ideal For:** • Independent classroom practice worksheets or homework booklets. • Targeted GCSE Maths exam revision and diagnostic intervention. • Ready-made, no-prep cover lessons or math revision stations. ________________________________________

£2.30
Bundle

Expanding and Simplifying Expressions Worksheets Bundle | Algebra 1 No Prep

Three worksheets on on expanding and simplifying algebraic expressions by multiplying out brackets and collecting like terms. Detailed solutions are provided. Are your students struggling to expand brackets and collect like terms? Remove the stress from your lesson planning with this Expanding and Simplifying Brackets Worksheets Bundle. In secondary school mathematics, expanding brackets is a foundational algebraic proficiency. An algebraic expression is expanded when we multiply the term outside the bracket by everything inside it. This comprehensive math packet is carefully structured to guide students sequentially from single bracket distribution to multiplying advanced binomials and simplifying quadratic terms. With 3 distinct worksheets and full step-by-step answer keys, this resource is completely ready to download, print, and use today—saving you hours of preparation time! **What is Included in This Bundle?** * **Worksheet 1: Single Brackets and Linear Expressions** – Focuses on expanding a single constant over a bracket and combining like terms, such as 3(x + 2) + 3(x + 4). * **Worksheet 2: Double Brackets (Multiplying Binomials)** – Introduces expanding two sets of brackets together to form quadratic expressions, such as (x + 1)(x + 4). Students will practice using the FOIL or grid method. * **Worksheet 3: Squared Brackets and Advanced Simplification** – Challenges students with squaring brackets and subtracting complex expressions, such as expanding and combining (x + 1) squared + (x + 4) squared. * **Complete Solutions Key** – Full, clear, handwritten-style steps are written out for every single problem, making marking a breeze or allowing for student self-assessment. **Ideal For:** * Key Stage 3 (KS3) Math Lessons (Years 7, 8, and 9) * Key Stage 4 (KS4) GCSE Maths Revision (Foundation and Higher tiers) * Independent Classroom Desk Work or Student Packets * Homework Assignments and Home Learning Cover Packets * Emergency Maths Cover/Sub Plans * Maths Assessment, Retrieval Practice, and End-of-Unit Review Sessions

£3.00
Bundle

Algebra 1 Expanding Brackets & Solving Linear Equations Bundle

Four worksheets on the following: expanding single brackets, expanding double brackets, expanding brackets and collecting like terms and solving linear equations with brackets. Detailed solutions are provided.<br /> <br /> Master algebraic manipulation and equations with this comprehensive Expanding Brackets & Solving Linear Equations Worksheets Bundle! Perfectly tailored for KS3 and KS4 (Years 7 to 11), this multi-page worksheet packet systematically covers expanding single brackets, collecting like terms, expanding double brackets, and solving multi-step equations. Complete with clear, step-by-step teacher marking keys, it is ideal for independent practice, homework, or GCSE exam revision.<br /> ________________________________________<br /> <br /> Are your students making negative number errors with the distributive law, or hitting a wall when solving algebraic equations with variables on both sides?<br /> This no-prep maths worksheet bundle simplifies the learning curve. It offers progressive, scaffolded practice sheets to build true confidence with simplifying linear expressions, expanding double brackets up to quadratic powers, and solving multi-step linear equations. Whether you need foundational tracks for Key Stage 3 or rigorous algebraic revision for GCSE Higher/Foundation tiers, these clean, distraction-free layouts keep students focused entirely on the mathematics.<br /> <br /> 🌟 What’s Included in This Resource Bundle?<br /> • Worksheet 1: Expanding Brackets & Collecting Like Terms – Practice distributing constants and variable coefficients, then combining like terms across varying expression formats.<br /> • Worksheet 2: Expanding Single Brackets – Focused drilling on distributing single variables and terms into brackets, including higher-degree variable indices.<br /> • Worksheet 3: Expanding Double Brackets – Extensive practice multiplying binomials, leading to quadratic and polynomial expressions.<br /> • Worksheet 4: Solving Linear Equations with Brackets – Step-by-step equation layouts requiring expansion, combining terms, and isolating variables on both sides of the equal sign.<br /> • Full Step-by-Step Answer Keys – Every single sheet comes with a matching solutions page layout showing the complete algebraic workflow for fast marking or instant student self-checking.<br /> <br /> 📝 Perfect For:<br /> • Daily morning starter work or independent lesson tasks<br /> • No-prep supply teacher lesson packets<br /> • Scaffolded homework assignments<br /> • Small group maths intervention or remediation groups<br /> • End-of-unit algebra review or GCSE exam preparation practice

£3.80
Bundle

Expanding Brackets and Collecting Like Terms Practice Worksheets | 7th 8th Grade

Three worksheets on expanding brackets and simplifying the resulting expressions by collecting like terms. Solutions are included. Master expanding single brackets and simplifying linear expressions! This comprehensive, no-prep worksheet pack offers scaffolded practice for expanding brackets and collecting like terms. Ideal for KS3, GCSE revision, and foundation algebra lessons, it includes full, step-by-step worked solutions to save you hours of marking time. ________________________________________ Save your evenings with these ready-to-print algebra worksheets! This comprehensive resource pack delivers highly organized, scaffolded practice to help your secondary students confidently master expanding single brackets and simplifying algebraic expressions. The worksheets step students logically through the curriculum, ensuring they grasp basic multiplication before moving on to complex term collection, negative distributions, and squared variables. **What is Included in this Pack?** * **Expanding Single Brackets Worksheet:** Focused practice on distributing integers and variables across linear expressions. * **Expanding and Collecting Like Terms (Basic):** Level 1 practice featuring a single bracket followed by a trailing term to simplify. * **Expanding and Collecting Like Terms (Advanced):** Level 2 practice featuring double bracket expansion, tricky negative coefficients, and collecting squared terms. * **Complete Worked Solutions:** Full, step-by-step answers for every single problem to make marking effortless or to allow students to self-assess! **Perfect For:** * KS3 Core Maths Lessons (Years 7, 8, and 9) * GCSE Maths Foundation Revision & Retrieval Practice * Homework Assignments or Independent Classwork * Extension Work, Cover Lessons, and Maths Intervention Groups

£2.80
Bundle

Simplifying Expressions Worksheets | Collecting Terms, Brackets & Index Form

Six worksheets on basic algebra: using algebraic notation, collecting like terms and expanding brackets. Solutions are included. Master simplifying algebraic expressions, collecting like terms, expanding brackets and index laws with this complete KS3 and GCSE maths geometry resource pack with full answers. ________________________________________ Are your student groups struggling to master the fundamentals of algebraic structure? Do they get confused when collecting multi-variable like terms, tracking negative signs across brackets, or converting long multiplication strings into proper index form? Take the stress out of your lesson planning with this comprehensive algebra simplifying expressions pack! This collection is meticulously designed to build numerical fluency, moving students smoothly from introductory variable notation to complex multi-bracket operations. ________________________________________ **What’s Included in This Resource Pack?** **Section 1: Foundational Algebraic Notation** Targeted exercises teaching students how to write expression products cleanly, handle fractional multipliers, and properly format algebraic division operations. **Section 2: Collecting Like Terms (Single & Multi-Variable)** Scaffolded practice pages covering basic variable combining, tracking calculations with negative coefficients, and organizing multi-variable strings. **Section 3: Expanding Brackets & Distribution** Practice sheets exploring single bracket expansion, distributive laws, and advanced tasks that require expanding multiple sets of brackets before collecting terms. **Section 4: Writing Expressions in Index Form** Comprehensive fluency practice focused on the laws of exponents, combining multi-variable variable multiplication strings, and managing coefficients. **Full Teacher Answer Keys** Step-by-step solutions are included for every single problem, showing the exact intermediate distribution steps and variable combinations. This makes them perfect for quick marking, projectable self-assessment, or independent study checks. ________________________________________ **Ideal For Curriculum Delivery:** * **KS3 Maths:** Perfect for introducing balancing equations, expanding brackets, and applying simple algebraic rules in Years 7, 8, and 9. * **KS4 / GCSE Maths (Foundation & Higher):** Excellent as a foundational unit review before teaching advanced factorisation, quadratic sequences, or simultaneous equations. * **Remedial Support / Revision:** High-utility worksheets for intervention groups, homework packages, or independent learning centers. ________________________________________ **Why Teachers Choose Our Resources:** * **Ready to Print:** No-prep layout saves valuable preparation time—simply print and copy. * **Scaffolded Progress:** The problem sets intentionally scale in difficulty to build student confidence. * **Spacious Design:** Clean layout gives learners plenty of room to write out their working directly on the sheet. If you find this maths resource helpful, please leave a review! Your feedback helps create better classroom tools. ________________________________________

£3.90
Bundle

Expanding expressions Bundle

Eight worksheets on expanding expressions by multiplying out single and double brackets. Detailed solutions are provided.

£4.90
Bundle

Expanding brackets-Collecting like terms worksheets (with solutions)

Three worksheets on collecting like terms. Detailed solutions are included.

£2.50
Bundle

GCSE Algebra Bundle (Expanding and factoring expressions)

A collection of 10 worksheets on expanding brackets and factoring algebraic expressions including the cases of perfect squares and difference of two squares. Detailed solutions are included. Good for GCSE/IGCE students.

£7.90

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