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Solving quadratic equations (factorization and formula) worksheet

Solving quadratic equations (factorization and formula) worksheet

Subject: Mathematics

Age range: 11-14

Resource type: Worksheet/Activity

Last updated

16 August 2026

pdf, 93.77 KB
pdf, 93.77 KB

A worksheet on solving quadratic equations using factorization or the quadratic formula. Detailed solutions are provided.

Get this resource as part of a bundle and save up to 43%

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
Bundle

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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