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Rearranging Formulae (harder) worksheet with solutions

Rearranging Formulae (harder) worksheet with solutions

Subject: Mathematics

Age range: 14-16

Resource type: Worksheet/Activity

Last updated

29 October 2026

pdf, 98.58 KB
pdf, 98.58 KB

A worksheet on rearranging formulae with detailed solutions. Contains harder questions on this topic. Good for GCSE students.

Get this resource as part of a bundle and save up to 60%

A bundle is a package of resources grouped together to teach a particular topic, or a series of lessons, in one place.

Bundle

Algebraic Rearranging Formulae & Functions Practice Worksheets with Answer Keys

Master advanced algebraic manipulation, inverse functions, and exponential/logarithmic equations with this comprehensive, ready-to-use math resource packet designed for high school algebra and pre-calculus students! This resource features targeted practice worksheets covering rearranging complex formulas, finding inverse functions, and solving natural logarithm and exponential equations. Whether you are teaching formula transposition, function inversion, or working with exponential growth and natural logs, this packet provides rigorous practice to build procedural fluency and advanced problem-solving skills. **What's Included:** - Rearranging Formulae Practice Problems (involving square roots, fractions, and quadratic terms) - Inverse Functions Practice Problems (linear, rational, quadratic, cubic, and radical functions, plus composite function problems) - Exponential and Logarithmic Equations with Natural Logarithms Practice Problems - Complete, Step-by-Step Answer Keys for Every Problem Ideal for classroom practice, independent work, advanced homework assignments, math centers, test prep, or homeschool curricula.

£3.45
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Algebra Topics Bundle | Factoring and Rearranging Formulae | Practice Worksheets

Elevate your secondary mathematics instruction with this comprehensive bundle of algebra practice worksheets. Specially designed for KS3, KS4, Algebra 1, and Algebra 2 students, this collection covers fundamental algebraic fluency topics including factoring the difference of squares, GCF binomial factoring, simplifying complex algebraic fractions, and rearranging literal formulas. **Resource Highlights:** - Four core topic sets featuring structured, graded practice problems - Covers difference of squares, algebraic fraction reduction, polynomial factoring, and formula transposition - Step-by-step complete answer keys included for every single problem - Excellent for classroom practice, homework assignments, revision, or intervention lessons - Clean, print-ready PDF format for low-prep lesson planning and easy differentiation

£3.90
Bundle

Changing the Subject of a Formula Practice Worksheets with Step-by-Step Solution

Master rearranging algebraic formulas with comprehensive practice worksheets and fully worked-out step-by-step solutions. **Product Overview:** Equip your algebra students with the essential skills needed to manipulate and transpose mathematical formulas with confidence. This resource contains extensive practice problem sets covering a wide variety of difficulty levels—from basic linear transpositions to complex equations involving fractions, parentheses, radicals, and advanced factoring. **Key Features:** * Progressive difficulty levels tailored for middle and high school algebra curricula. * Comprehensive step-by-step solutions included for every single problem to support independent learning and self-assessment. * Clear layout designed to build algebraic fluency and systematic problem-solving habits. **Topics Covered:** * One-step and multi-step linear formula rearrangements. * Factorization techniques for variables appearing multiple times. * Square roots, cube roots, and fractional exponents. * Rational expressions and algebraic fractions. Enhance your algebra unit today!

£3.85
Bundle

Rearranging Literal Equations & Solving Equations Worksheets Bundle

A collection of 4 worksheets on expressions and formulae based on the GCSE 9-1 specification. The following worksheets are included: * Changing the subject of a formula * Changing the subject of a formula (harder questions) * Equations with variables on both sides * Linear equations with brackets and the variable in both sides Detailed solutions are included. Master linear equations and formula manipulation with this comprehensive, no-prep 4-worksheet bundle! Perfect for KS3 and GCSE 9-1 maths lessons, this print-and-go packet covers solving multi-step equations, balancing variables on both sides, and changing the subject of a formula with complete worked solutions included. ________________________________________ Are you looking for a rigorous, ready-to-print algebra resource to help your students master solving and rearranging equations? This complete 4-worksheet practice bundle systematically takes students from foundational linear equations to complex formula manipulation. Whether you are helping students solve for unknowns across equal signs or guiding them through multi-step subject changes involving fractions and square roots, this pack delivers targeted, scaffolded practice sheets designed to build lasting mathematical fluency. **What’s Included in This Bundle:** • **Worksheet 1: Foundational Linear Equations** – Covers standard one-step and multi-step equations to build basic operational confidence and equation-solving fluency. • **Worksheet 2: Equations with Variables on Both Sides** – Progresses through 20 structured equations requiring students to balance expressions, move variables, and handle negative integer operations. • **Worksheet 3: Rearranging Formulae (Foundational)** – Direct practice changing the subject in basic formulas using addition, subtraction, multiplication, and division rules. • **Worksheet 4: Advanced Changing the Subject** – Higher-level challenge problems featuring equations that contain fractions, brackets, squares, and square roots to test true algebraic conceptual depth. • **Full Worked Solutions** – Step-by-step, fully handwritten mathematical solutions for every single problem to ensure effortless marking, easy cover work, or student self-checking! **Perfect For:** • Key Stage 3 Maths Classes (Years 7, 8, and 9) • GCSE 9-1 Revision & Exam Prep (Foundation & Higher Tiers) • Independent Practice, Homework Tasks, or Cover Work • Maths Intervention Groups & Revision Packets **Curriculum Alignment:** Fully aligned with the UK National Curriculum for Mathematics and suitable for all major exam boards, including AQA, Edexcel, and OCR: • Algebra (A4): Simplify and manipulate algebraic expressions by maintaining the structure of an expression, including collecting like terms and expanding brackets. • Algebra (A5): Understand and use standard mathematical formulae; rearrange formulas to change the subject. • Algebra (A17): Solve linear equations in one unknown algebraically, including those with the unknown on both sides of the equation. ________________________________________

£3.50
Bundle

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

Rearranging Formulae & Literal Equations Worksheets | Practice Pack + Answer Key

Four worksheets on rearranging formulae to change the subject including easy and harder exercises. Good for GCSE/IGCSE students. Detailed solutions are included. Master changing the subject of a formula with this comprehensive, progressively challenging algebra worksheet pack featuring full step-by-step solutions for every problem. Help your students confidently master literal equations with this extensive Rearranging Formulae Worksheet Resource Pack. Designed to build procedural fluency, this resource guides students from introductory one-step rearrangements to advanced multi-step algebraic manipulations. It is perfectly aligned with KS3 and GCSE Mathematics curriculum requirements (AQA, Edexcel, and OCR). **What is Included** This pack features multiple sets of carefully structured worksheets along with a comprehensive answer key showing full algebraic steps for every single problem. • **Worksheet Set 1 (Introductory / KS3 Foundation): Isolating variables using single inverse operations like addition and subtraction. • **Worksheet Set 2 (Intermediate / GCSE Higher Foundation):** Expanding brackets and collecting like terms across an equation. • **Worksheet Set 3 (Advanced / GCSE Higher Tier):** Rearranging equations containing square roots, cubes, and fraction denominators. • **Worksheet Set 4 (Complex Manipulation):** Factoring out the subject variable when it appears multiple times. • **Complete Step-by-Step Solutions:** Full algebraic steps provided for every problem to allow self-assessment. **Progression of Skills Covered** •**One-step operations** (e.g., p = s + 8) • **Multi-step linear rearrangements** (e.g., p = 3u + 11) • **Expanding brackets before isolating** (e.g., a = 3(u + 2)) • **Clearing fractions and denominators** (e.g., c = (a + b) / 2) • **Dealing with powers and roots** (e.g., E = mc^2 or V = 4/3 pi r^3) • **Factoring out a common variable** (e.g., 3(p - 1) = r(2 - 5p)) **Perfect For** • KS3 algebra lessons • GCSE / IGCSE exam revision • Homework and independent study • Cover work and intervention booklets

£3.90

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