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Equations with fractions worksheet (with solutions)

Equations with fractions worksheet (with solutions)

Subject: Mathematics

Age range: 11-14

Resource type: Worksheet/Activity

Last updated

26 July 2026

pdf, 76.67 KB
pdf, 76.67 KB

A worksheet on solving equations involving fractions. Detailed solutions are provided.

Get this resource as part of a bundle and save up to 51%

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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Linear Equations with Fractions Worksheet Bundle | Math Review

Three worksheets on solving linear equations with fractions. Detailed solutions are included. Master solving linear equations involving algebraic fractions with this comprehensive 3-worksheet practice pack. Perfectly aligned with the UK National Curriculum for KS3 and KS4 (Years 7–11), this differentiated maths resource confidently guides students from basic fractional operations to complex multi-step problems with variables on both sides. ________________________________________ Are you looking for a high-quality, time-saving resource to teach, reinforce, or review solving linear equations with fractions? This complete algebra practice bundle is sequentially designed to build student confidence, mathematical fluency, and absolute mastery over algebraic fractions. Featuring three extensive worksheets with a clear progression of difficulty, this resource makes classroom differentiation effortless for secondary school maths teachers working with mixed-ability groups. **What is Included in This Bumper Pack?** This download contains three separate practice packs, structured progressively to scaffold learning: • **Worksheet 1 (Bronze / Foundational Pack):** Focuses on basic one-step and two-step equations involving simple fractions, fractional variables, reciprocal multiplication, and basic single bracket distributions. • **Worksheet 2 (Silver / Intermediate Pack):** Steps up the challenge with multi-step fractional equations, negative constants, variable elements positioned within the denominators, and equations requiring the collecting of fractional terms. • **Worksheet 3 (Gold / Advanced Algebra Pack):** Challenges high-ability learners with advanced multi-step linear expressions, fractions on both sides, variables across multiple numerators, and clearing complex algebraic denominators. • **Full Teacher Solutions:** Complete, step-by-step written answers are provided for every single question across all three worksheets to support quick peer-marking, student self-assessment, or to save you valuable grading time. **Versatile Classroom Applications** This versatile bundle is highly adaptable and can be seamlessly integrated into your maths planning as: • Structured homework assignments to consolidate weekly learning. • Independent main-lesson practice during algebra and algebraic fraction units. • Target math intervention, catch-up work, or small-group revision sessions. • Cover lessons, low-stakes quizzes, or end-of-term GCSE exam preparation. **National Curriculum Alignment** This resource perfectly covers the fluency and reasoning proficiency requirements for Key Stage 3 and Key Stage 4 Mathematics, matching core algebra objectives within the GCSE Foundation and Higher specifications (AQA, Edexcel, and OCR modules): • **KS3/KS4 Maths:** Solve linear equations in one unknown, including those with brackets and those with the unknown on both sides, as well as equations with fractional coefficients or terms. ________________________________________

£3.30
Bundle

Linear Equations, Factoring, and Rearranging Formulas Worksheets Bundle

Five worksheets on the following topics: multiplying out brackets, factorising algebraic expressions, equations with brackets, equations with fractions and rearranging formulae. Detailed solutions are provided. A comprehensive, scaffolded worksheet bundle covering expanding brackets, factorising expressions, solving linear equations (with brackets/fractions), and changing the subject of a formula. Fully aligned with the Key Stage 3 and GCSE Mathematics curricula, this print-and-go resource includes full, step-by-step worked solutions for every problem to support independent learning and save you hours of marking time! ________________________________________ Simplify your algebra lesson planning and help your pupils build rock-solid foundations with this complete, print-and-go worksheet pack! Moving from basic variable manipulation to multi-step fractional equations can be a major hurdle for secondary school students. This resource breaks down these essential algebraic skills into clear, scaffolded practice sheets that smoothly guide pupils from basic single-bracket distribution to complex formula rearrangement. Every single section includes a completely worked-out solution key, making it ideal for independent classwork, homework tasks, revision sessions, or structured cover work! **What’s Included in This 5-Worksheet Bundle?** * **Multiplying Out Brackets:** Practice expanding single brackets with linear terms, including tricky negative numbers and decimals. * **Factorising Expressions:** Master finding the Highest Common Factor (HCF) and factorising expressions cleanly into single brackets. * **Equations with Brackets:** Solve multi-step linear equations that require expanding brackets and collecting like terms first. * **Equations with Fractions:** Master solving linear equations containing algebraic fractions and rational terms. * **Rearranging Formulae:** Step-by-step practice changing the subject of a formula, featuring real-world geometry applications like the area of an open cylinder and a trapezium. * **Complete Answer Key:** Fully worked solutions showing every single algebraic step—perfect for pupil self-assessment! **Perfect For:** * Key Stage 3 (Years 7–9): Core algebra mastery, homework assignments, or structured extension tasks. * Key Stage 4 (Years 10 & 11): Ideal revision material for GCSE Mathematics Foundation & Higher Tier exams (AQA, Edexcel, OCR). * Independent Study: Excellent for self-guided revision booklets, baseline assessment prep, or easy-to-use cover work. **Curriculum Links:** GCSE Mathematics (Algebra): Simplify and manipulate algebraic expressions (collect like terms, multiply a single term over a bracket, take out common factors); solve linear equations in one unknown (with brackets or fractions); substitute numerical values into formulae; change the subject of a formula. ________________________________________

£3.80
Bundle

4 worksheets on equations with fractions (with solutions)

Four worksheets on solving equations involving fractions. Detailed solutions are provided.

£3.20
Bundle

Year 9 Percentages-Equations-Formulae Worksheets (with solutions)

Eight worksheets for Year 9 students on the following topics: * Calculating the original value * Percentage increases and decreases * Simple interest * Equations with brackets * Equations with fractions * Factorising algebraic expressions * Multiplying out brackets * Rearranging formulae Detailed solutions are included.

£4.95
Bundle

6 worksheets on equations with fractions (with solutions)

A collection of six worksheets worksheet on solving linear equations by clearing fractions. Detailed solutions are provided.

£4.85
Bundle

Equations with fractions worksheets (with solutions)

A collection of four worksheets worksheet on solving linear equations by clearing fractions. Detailed solutions are provided.

£3.35
Bundle

Linear equations with fractions Bundle

Three worksheets on solving linear equations with fractions. Detailed solutions are included.

£2.80
Bundle

Solving equations worksheets (with solutions)

A collection of four worksheets on solving elementary equations. The exercises include linear equations, equations with brackets, equations with fractions and equations with squares. Detailed solutions are included.

£3.35

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