A worksheet on solving quadratic equations by factorising worksheet. Detailed solutions are included.
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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
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Solving Equations Worksheets Pack | Linear, Systems, Quadratics & Fractions
6 worksheets on solving linear equations, quadratic equations, simultaneous equations and equations with algebraic fractions. Detailed solutions are provided. Master solving equations, simultaneous systems, quadratics and algebraic fractions with this complete KS3 and GCSE maths resource pack featuring worksheets and full answers. ________________________________________ Are your student groups struggling to solve complex multi-step equations? Do they get confused when transitioning from simple linear variables to simultaneous systems, algebraic fractions, or non-linear systems? Take the stress out of your lesson planning with this comprehensive algebra equations practice pack! This collection is meticulously designed to build numerical fluency, moving students smoothly from foundational balance calculations to rigorous secondary school algebra. ________________________________________ **What’s Included in This Resource Pack?** This all-in-one packet delivers distinct, targeted worksheets covering essential secondary algebra units. Each section features a clear, progressive problem set followed by a matching teacher answer key: **Unit 1: Foundational Linear Equations** Core fluency pages covering one-step, two-step, and multi-step equations, variables on both sides, distributing single or multiple brackets, and basic proportions. **Unit 2: Equations with Algebraic Fractions** Advanced practice requiring students to clear denominators by finding common multiples, and solve multi-step equations involving linear numerators. **Unit 3: Simultaneous Equations via Substitution** Structured practice solving classic systems of equations by isolating variables and performing algebraic substitutions. **Unit 4: Simultaneous Equations via Elimination** Targeted exercises focusing on adding, subtracting, or multiplying equations to eliminate variables systematically. **Unit 5: Linear-Quadratic Systems (One Linear, One Quadratic)** Advanced high school systems requiring substitution, expanding quadratic expressions, factorising trinomials, and finding dual coordinate solutions. **Full Teacher Answer Keys** Every single page includes fully worked-out solutions showing exact algebraic transformations, common denominator multipliers, substitution steps, and final fractional or integer answers. It is perfectly ready 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 comprehensive unit review covering simultaneous systems, algebraic fractions, and non-linear quadratic intersections. * 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. ________________________________________
£7.00
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Solving quadratic equations worksheets (with solutions)
A collection of four worksheets on solving quadratic equations using factorisation, the quadratic formula and the method of completing the square. Detailed solutions are provided.
£3.35
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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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8 GCSE/IGCSE worksheets (with solutions)
8 GCSE/IGCSE worksheets on the following topics: linear equations, quadratic equations, sets, percentages, fractions and decimals, mode, median and mean, quartiles and interquartile range, rationalising the denominator and ratios. Solutions are included.
£7.90
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Solving quadratic equations Bundle
A collection of three worksheets on solving quadratic equations. The first is on solving quadratic equations by factorising. The second is on solving quadratic equations using the quadratic formula. The third is on completing the square and solving quadratic equations by completing the square. Detailed solutions are included.
£3.50
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Linear and quadratic equations worksheets (with solutions)
Three worksheets on solving linear equations, and quadratic equations by factorising and using the quadratic formula. Solutions are included.
£3.35
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Solving quadratic equations by factorising worksheets (with solutions)
Three worksheets on solving simple and harder quadratic equations using factorisation. Detailed solutions are included.
£2.90
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