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Solving linear equations (harder) worksheet (with solutions)

Solving linear equations (harder) worksheet (with solutions)

Subject: Mathematics

Age range: 7-11

Resource type: Worksheet/Activity

Last updated

16 August 2026

pdf, 79.83 KB
pdf, 79.83 KB

A worksheet on solving linear equations including harder cases involving brackets or fractions. 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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GCSE Maths Algebra Worksheets Bundle | Equations, Factoring & Inequalities

A bundle of 10 worksheets (with detailed solutions) on Algebra topics appropriate for GCSE students. Each worksheet contains questions for students of various abilities. The topics covered by these worksheets include: * 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. Save hours of lesson planning with this comprehensive GCSE Maths Algebra Worksheets Bundle! This ready-to-print resource features high-quality practice packets covering linear and quadratic equations, single and double bracket expansion, factorising, and inequalities. Complete with full, step-by-step answer keys, it is ideal for GCSE exam preparation, daily homework assignments, cover lessons, or structured revision sessions. ________________________________________ Stop spending your evenings writing out messy algebra problems and tracking down keys. Give your students the targeted practice they need to master foundational and advanced algebra! This GCSE Maths Algebra Revision Pack contains structured worksheet modules packed with scaffolded practice questions. It targets the essential, high-yield topics that secondary students struggle with most on their final exams, making it perfect for both Foundation and Higher tier classes across Years 9, 10, and 11. Every single packet includes fully worked solutions, allowing you to mark papers in seconds or hand them directly to students for effortless self-assessment and independent revision. ________________________________________ **What Topics Are Covered in This Pack?** • **Simplifying Expressions:** Master algebraic fluency by collecting like terms across single variables and multi-variable combinations. • **Expanding Single & Double Brackets:** Practice distributing linear variables as well as expanding double brackets into quadratic expressions. • **Factoring Simple Expressions:** Step-by-step practice finding the highest common factor for linear terms and variable groups. • **Factorising Quadratic Expressions:** Deep-dive practice into factorising quadratics, including tricky expressions where the leading coefficient is greater than 1 (e.g., 3x² + 7x + 4). • **Solving Linear Equations:** Building confidence from basic one-step processes to multi-step equations involving fractional algebraic terms. • **Solving Quadratic Equations:** Clear question pathways for finding real roots using factorisation methods and square roots. • **Linear Inequalities:** Master solving, writing, and identifying algebraic inequalities to establish true balance regions. ________________________________________ **Why Teachers Love This Resource:** • **100% Zero Prep:** Just click download, print your pages, and you are ready to teach. • **Clear, Clean Layouts:** Generous workspace for student working out with clearly formatted instructions. • **Highly Scaffolded:** Questions gently increase in difficulty to build student confidence and algebraic problem-solving skills. • **Versatile Implementation:** Ideal for weekly homework tasks, emergency cover lessons, end-of-unit review packets, or classroom intervention sheets. ________________________________________ **Curriculum Alignment:** • **Key Stage:** Key Stage 4 (KS4) Algebra, Year 10 and Year 11 Exam Preparation. • **Exam Boards:** Fully aligned with the current GCSE (9-1) specifications for AQA, Edexcel, OCR, and Cambridge iGCSE.

£8.90
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Algebra Review Worksheets Bundle | GCSE Maths & Algebra 1 | ÌÇÐÄVlogt 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 1 Curriculum Bundle | Equations, Factoring, Systems, Polynomials & More

Streamline your math lessons with this complete Algebra 1 curriculum worksheets bundle. Covering equations, inequalities, factoring, simultaneous systems, functions, polynomials, and more, this comprehensive resource provides 20 ready-to-print lessons and full answer keys. Are your students struggling to keep up with the fast pace of Algebra 1? Do you find yourself spending hours hunting down high-quality practice problems for factoring, systems of equations, or polynomial operations? Take the stress out of your school year with this comprehensive Algebra 1 curriculum worksheets bundle! This massive, multi-unit collection features a carefully scaffolded learning track that moves students smoothly from foundational algebraic rules to advanced high school math concepts. **Full Breakdown of the 20 Worksheets Included:** This all-in-one resource delivers an expansive library of 20 distinct worksheets covering essential secondary algebra units. Each worksheet contains scaffolded exercises followed by a matching, step-by-step teacher answer key: **Worksheet 1:** Intro to Algebraic Notation & Simplifying Products **Worksheet 2:** Collecting Like Terms (Single Variable Addition & Subtraction) **Worksheet 3:** Simplifying Complex Multi-Variable Expressions **Worksheet 4:** Writing Expressions in Index Form (Laws of Exponents) **Worksheet 5:** Expanding Single Brackets (Distributive Property Basics) **Worksheet 6:** Expanding and Simplifying Expressions with Multi-Brackets **Worksheet 7:** Expanding Double Brackets & Polynomial Expansion **Worksheet 8:** Factoring Expressions (Finding the Greatest Common Factor) **Worksheet 9:** Factoring Complex Quadratic Expressions & Polynomials **Worksheet 10:** Introduction to Functions, Relations, & Function Notation **Worksheet 11:** Solving One-Step Linear Equations **Worksheet 12:** Solving Two-Step Linear Equations **Worksheet 13:** Solving Multi-Step Equations with Variables on Both Sides **Worksheet 14:** Solving Equations with Single Brackets **Worksheet 15:** Solving Complex Equations with Multiple Brackets **Worksheet 16:** Introduction to Fractional Equations (Basic Proportions) **Worksheet 17:** Solving Multi-Step Linear Equations Involving Fractions **Worksheet 18:** Solving and Graphing Linear Inequalities **Worksheet 19:** Simultaneous Equations (Systems of Equations by Substitution) **Worksheet 20:** Simultaneous Equations (Systems of Equations by Elimination) Note: Every single worksheet includes a complete, step-by-step teacher solution manual showing exact algebraic transformations and calculations. **Perfect For:** * Middle School Math (8th Grade): Advanced extension tracks and pre-algebra review. * High School Algebra 1: A full core instruction supplement or comprehensive daily homework routines. * Algebra 2 Remedial Review: High-utility fluency drills to fill in prerequisite gaps at the start of the year. * Sub Plans & Homework Packets: Clean layouts with clear instructions make these easy to use for independent study. **Educational Standards Covered** * CCSS 8.EE.C.7: Solve linear equations in one variable. * CCSS 8.EE.C.8: Analyze and solve pairs of simultaneous linear equations. * CCSS HSA-SSE.A.2: Use the structure of an expression to identify ways to rewrite it (Factoring). * CCSS HSA-APR.A.1: Add, subtract, and multiply polynomials. * CCSS HSA-REI.B.3: Solve linear equations and inequalities in one variable. **Why Teachers Love This Resource** * **Zero Prep Required:** Just print out the sections you need today, and your daily lesson plan or assessment tool is instantly ready! * **Scaffolded Progress:** The problem sets intentionally scale in difficulty to keep students from feeling overwhelmed. * **Spacious Formatting:** Clean design leaves plenty of breathing room for students to show their mathematical scratch work right on the sheet.

£18.99
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Rational Numbers Operations & Linear Equations Worksheet Bundle with Keys

Three worksheets on operations and linear equations with positive and negative numbers. A worksheet introducing the students to addition, subtraction, multiplication and division of positive and negative numbers (integers, fractions and decimals). The exercises require to perform calculations with two or more terms and one or more operations (using the order of operations when appropriate) and find missing terms in given calculations. And two worksheets on solving linear equations involving various cases such as: one-step and two-step linear , linear equations with brackets, linear equations with double brackets, linear equations with fractions and linear equations with the variable on both sides. Detailed solutions are included. Master four operations on directed numbers and linear equations with this no-prep KS3/KS4 maths bundle, covering integers, fractions, decimals, and BIDMAS. a Save time and money with this comprehensive, ready-to-print Directed Numbers and Linear Equations maths bundle! This high-quality printable pack brings together three complete resources designed to eliminate sign errors and build total procedural fluency. Moving sequentially from basic integers to complex algebraic fractions, it provides weeks of independent practice, homework tasks, or revision material. It is an exceptional match for Key Stage 3 (KS3) and Key Stage 4 (KS4) Higher or Foundation Tier GCSE preparation. **What is Included in This Bundle?** • **Directed Numbers Practice:** Master arithmetic rules for adding, subtracting, multiplying, and dividing. • **Rational Numbers Mastery:** Work with signed decimals, fractions, and vertical divisions. • **Advanced BIDMAS Practice:** Solve multi-step calculations with nested brackets and large product strings. • **Inverse Reasoning Tasks:** Complete fill-in-the-blank boxes using algebraic and inverse thinking. • **Linear Equation Foundations:** Solve one-step and two-step equations involving negative coefficients. • **Expanding Brackets:** Expand single and double parentheses with negative sign distributions. • **Algebraic Fractions:** Balance complex equations by finding common denominators and cross-multiplying. • **Fully Worked Solutions:** Access a complete teacher memorandum guide showing every balancing move. **Why Teachers Love This Bundle:** • **Zero Prep Required:** Download, print, and distribute directly to your classes immediately. • **Excellent Value:** Enjoy a built-in discount compared to buying resources individually. • **Scaffolded Rigour:** Questions naturally scale from core mechanics to challenging exam questions. • **Versatile Classroom Use:** Ideal for main lessons, structured revision, or emergency cover work. **Curriculum & Exam Board Alignment:** • UK National Curriculum: Key Stage 3 (KS3) and Key Stage 4 (KS4) Mathematics. • Exam Boards: Perfect for Edexcel, AQA, and OCR GCSE Maths modules. ________________________________________

£2.90
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Linear equations (one-step, two-step and harder) worksheets (with solutions)

A collection of three worksheets on solving one-step, two-step and harder linear equations. Detailed solutions are included.

£2.90
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Linear equations worksheets (with solutions)

A collection of three worksheets on solving one-step, two-step and harder linear equations. Detailed solutions are included.

£2.90

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