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Simplifying expressions by collecting like terms worksheet (with solutions)

Simplifying expressions by collecting like terms worksheet (with solutions)

Subject: Mathematics

Age range: 11-14

Resource type: Worksheet/Activity

Last updated

13 August 2026

pdf, 84.01 KB
pdf, 84.01 KB

A worksheet on simplifying expressions by collecting like terms. 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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Algebra Review Worksheets Bundle | GCSE Maths & Algebra 1 | 91¶¶Òõt Prep Packet

A bundle of 20 worksheets (with detailed solutions) on Number and Algebra topics appropriate for GCSE students. Each worksheet contains questions for students of various abilities. The topics covered by these worksheets include: * Operations with positive and negative numbers * Recurring decimals * Surds * Sequences * Percentage of a quantity * Reverse percentage * Compound interest * Simple interest * Percentage change * Percentage Increase Decrease * Simplifying expressions by collecting like terms * Expanding single brackets * Expanding double brackets * Factorising simple expressions * Factorising quadratic expressions * Solving linear equations * Solving quadratic equations * Operations with algebraic fractions * Linear inequalities * Quadratic inequalities The pack is ideal for use in revision sessions or for individual study. The solutions provided are very clear and explanatory. Looking for a comprehensive, no-prep collection to help your secondary students master algebra? This 20-page Algebra Revision Worksheets Bundle is the ultimate resource pack for Key Stage 3 and GCSE Maths revision, smoothly guiding students from basic linear equations through to complex algebraic fractions and quadratic inequalities. ________________________________________ Master GCSE Algebra with This Comprehensive, Scaffolded Revision Worksheet Pack! Take the stress out of lesson planning and exam preparation with this complete, high-quality algebra resource collection. This pack contains structured, progressive worksheets that systematically isolate core algebraic skills before challenging students with multi-step, higher-tier examination problems. Whether you need a comprehensive end-of-term revision booklet, targeted homework tasks, cover lesson resources, or structured classroom booklets, this print-and-go bundle saves you hours of preparation time. **Why Mathematics Teachers Value This Bundle:** • Scaffolded Learning Progression: Every single topic starts with accessible, baseline questions to build learner confidence before gradually advancing to include fractional coefficients, multiple variables, and complex negative distributions. • Full Step-by-Step Solutions Included: Every question features completely worked-out mathematical workflows. This makes tracking answers effortless for teachers and allows for meaningful student self-assessment. • Spacious, Clear Layout: The clean aesthetic avoids over-crowding the page, giving secondary pupils plenty of room to write out their operations systematically and reduce calculation errors. • Perfect for Revision & Cover: Highly structured for independent work, making it an ideal choice for GCSE exam countdowns, targeted intervention groups, or robust cover work. **Detailed Module Breakdown:** • Solving Linear Equations: Core practices involving balancing equations, expanding brackets, distributing negative signs, and manipulating variables on both sides. • Solving Quadratic Equations: Comprehensive coverage including factorising quadratics, taking square roots, and applying the Quadratic Formula to two decimal places. • Operations with Algebraic Fractions: Simplification and manipulation of complex rational expressions using addition, subtraction, division, and factor cancellation. • Quadratic Inequalities: Comprehensive mastery of inequality intervals using structural quadratic factorisation and numerical number-line test values. **UK Curriculum and Exam Board Alignment:** • Key Stage 3 (KS3) Maths: Perfect stretching material for upper-band Year 9 classes moving toward higher curriculum tiers. • GCSE Maths (Foundation & Higher Tier): Fully aligned with the National Curriculum "Algebra" strand requirements for AQA, Edexcel, and OCR exam board specifications. ________________________________________

£18.90
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Algebra for GCSE/IGCSE worksheets (with solutions)

A large collection of 24 worksheets (254 pages) on selected topics from algebra: Algebraic manipulation Substitution into formulae Simplifying expressions by collecting like terms Collecting like terms (expressions with different variables) Multiplying a single term over a bracket Expanding double brackets Factorisation Quadratic factorisation 9.Indices Rearranging formulae Inverse functions Composite functions Equation of a straight line Parallel and perpendicular lines Solving linear equations Solving quadratic equations by factorising Quadratic formula Completing the square and solving quadratic equations by com- pleting the square Simultaneous Equations -Elimination Simultaneous Equations -Substitution Simultaneous Equations One Linear, One Quadratic Linear inequalities Quadratic inequalities The nth term of linear and quadratic sequences Designed for the GCSE/IGCSE specification. Detailed solutions are included.

£19.90
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Collecting Like Terms Worksheets with Solutions | 7th 8th Grade Math No Prep

Three worksheets on collecting like terms. Solutions are included. Master collecting like terms with this comprehensive, ready-to-print maths resource pack! Includes 24+ structured practice questions, matching activities, and full answer keys. Perfect for KS3 (Years 7–9) and GCSE Foundation revision. ________________________________________ Looking for a ready-to-use resource to help your students master simplifying expressions? This Collecting Like Terms Worksheet Pack provides structured, progressive practice to build algebra confidence. Designed with absolute clarity in mind, this pack takes students from single-variable addition all the way to complex multi-variable expressions, negative terms, and missing number puzzles. It is the perfect addition to your Key Stage 3 or GCSE Foundation maths curriculum! **What’s Included in This Download?** • **Progressive Worksheets:** Multi-page practice sheets covering basic combining, multi-variable collection, and advanced algebraic terms. • **Retrieval & Extension Activities:** Column matching and "Which one does not belong?" error analysis challenges to deepen conceptual understanding. • **Complete Solutions:** Fully worked answers included for every single question to make grading or self-assessment quick and easy. **Skills Covered:** • Combining single variables (e.g., a + a + b + b) • Simplifying expressions with negative coefficients and integers • Organizing multi-variable expressions • Matching equivalent algebraic terms Perfect For: • Independent classroom practice • Homework assignments • Cover lessons (completely print-and-go!) • Revision sessions for GCSE Foundation students **Curriculum Alignment:** • **National Curriculum KS3:** Model situations or laws of arithmetic algebraically; simplify and manipulate algebraic expressions by collecting like terms. • **GCSE Maths (9-1):** Foundation tier algebra fundamentals. ________________________________________

£2.80
Bundle

Simplifying Expressions by Collecting Like Terms Worksheets | Pre-Algebra No Pre

Three worksheets on on simplifying expressions by collecting like terms. Good introductory worksheets to this topic. Solutions are included. Are your students struggling to collect like terms and simplify basic algebraic expressions? Remove the stress from your lesson planning with this comprehensive Simplifying Expressions by Collecting Like Terms Worksheets Bundle. In secondary school mathematics, identifying and grouping equivalent terms is a foundational algebraic proficiency. This carefully structured math pack is designed to guide students sequentially from basic single-variable addition to advanced expressions involving negative numbers, multiple variables, indices, and coefficient rules. With a variety of engaging formats—including missing number problems, matching column activities, and standard computation grids—this resource keeps students focused while building fluency. It is completely ready to download, print, and use today, saving you hours of preparation time! **What is Included in This Bundle?** * **Worksheet 1: Single and Multi-Variable Simplification** – Focuses on gathering identical variables, working with negative integers, and managing different letters within the same expression, such as 3ab - ab + 12ab. * **Worksheet 2: Missing Number Input Puzzles** – Challenges students' critical thinking and algebraic manipulation skills by having them work backward to find the missing coefficients. * **Worksheet 3: Expression Matching and "Odd One Out" Activity** – Includes matching columns of equivalent terms (handling squared and cubed variables) and identifying the incorrect term among a group of expressions to deepen conceptual understanding. * **Complete Solutions Key** – Full, clear, step-by-step answer keys are written out for every single question, making marking a breeze or allowing for easy student self-assessment. **Ideal For:** * Key Stage 3 (KS3) Maths Lessons (Years 7, 8, and 9) * Key Stage 4 (KS4) GCSE Maths Revision (Foundation tier support and Higher tier retrieval) * Independent Classroom Desk Work, Book Work, or Student Packets * Homework Assignments and Home Learning Packets * Emergency Maths Cover/Sub Plans * Maths Assessment, Retrieval Practice, and End-of-Unit Review Sessions

£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

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