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Multiplying out brackets worksheet (with solutions)

Multiplying out brackets worksheet (with solutions)

Subject: Mathematics

Age range: 11-14

Resource type: Worksheet/Activity

Last updated

2 August 2026

pdf, 82.87 KB
pdf, 82.87 KB

A worksheet on multiplying brackets by a term which can be a single number or variable (positive or negative) and simplifying expressions by multiplying two brackets by a variable or number and collecting like terms. 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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Reverse Percentages, Simple Interest & Solving Linear Equations Worksheets (+)

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. Eliminate planning time with this comprehensive Percentages and Algebra Worksheet Bundle! This resource covers a massive range of secondary maths skills, including reverse percentages, simple interest, expanding brackets, factorising, and solving linear equations with fractions. Equipped with step-by-step teacher solutions, it serves as a complete, plug-and-play toolkit for classwork, homework, or GCSE exam revision. ________________________________________ Equip your students with the tools to master core algebraic mechanics and real-world financial arithmetic. This comprehensive worksheet pack spans multiple vital maths topics, splitting focused, repetitive practice into clearly defined skill sections. It transitions smoothly from foundational algebraic properties to multi-step problem solving, ensuring students build true mathematical fluency for Key Stage 3 and Key Stage 4 (KS3/KS4). **Key Topics Covered** • **Reverse Percentages:** Finding the original value before a price increase, decrease, or holiday sale reduction. • **Simple Interest Financial Maths:** Working out interest accumulation, total loan balances, and calculating interest rates over time. • **Percentage Multipliers:** Quick-fire practice to master the exact multipliers needed for percentage change calculations. • **Solving Equations with Brackets:** Expanding singular brackets and solving multi-bracket algebraic equations. • **Solving Equations with Fractions:** Eliminating denominators and isolating variables to solve complex algebraic fractions. • **Expanding, Factorising & Simplifying:** Finding the highest common factor (HCF), fully factorising expressions, and simplifying by collecting like terms. **What is Included?** • Skill-Specific Practice Sheets: Independent worksheets targeted at isolating and mastering each individual mathematical method. • Real-World Word Problems: Applied tasks involving financial loans, currencies (£), ingredient recipes, and village populations to add context. • Full Step-by-Step Answer Keys: Detailed, worked-out solutions showing exactly how every equation is isolated and solved to make marking or student self-assessment effortless. **Why Teachers Love It** • Zero Prep Required: High-quality, clean formatting makes this a perfect grab-and-go packet. • Scaffolded Skill Development: Tasks move systematically from single-step mechanics to advanced problem solving. • Great for Differentiation: The variety of included topics makes this packet perfect for cover lessons, independent mastery, or intensive end-of-unit interventions.

£4.95
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

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