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Operations between monomials worksheet (with solutions)

Operations between monomials worksheet (with solutions)

Subject: Mathematics

Age range: 11-14

Resource type: Worksheet/Activity

Last updated

15 July 2026

pdf, 122.15 KB
pdf, 122.15 KB

A worksheet on adding, subtracting, multiplying and dividing monomials. Five pages of exercises are included and their solutions follow.

Get this resource as part of a bundle and save up to 64%

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

Bundle

Operations with Monomials Worksheets Bundle | Intro to Polynomials | Algebra 1

Help your students master the core mechanics of algebra with this comprehensive, ready-to-print Operations with Monomials Worksheets Bundle! Once students learn the basic structure of algebraic expressions, they must learn how to manipulate them fluently. This bundle contains 3 highly targeted worksheet packs designed with a systematic, scaffolded progression. Students will move seamlessly from simple concept matching to advanced multi-step order of operations and backward-chaining logic puzzles. Whether you need a rigorous series of lesson companions, independent homework tasks, unit revision packets, or reliable cover lesson plans, these clean and structured resources are ready to print and use immediately. **What’s Included in This Bundle?** * **Worksheet 1: Introduction to Operating with Monomials** – Features introductory matching tables and basic exercises focusing on sums, differences, and identifying similar terms. * **Worksheet 2: Advanced Exponent Operations** – Pushes skills further with complex multiplication and division, forcing students to utilize the product and quotient laws across multiple variables and fractional bases. * **Worksheet 3: Order of Operations & Algebra Puzzles** – Challenges students with high-level calculation strings combining multi-step arithmetic alongside a complete set of missing-term box challenges. **Key Skills Covered** * Combining similar terms (Addition and Subtraction) * Multiplication Law of Indices (Product law of variables) * Division Law of Indices (Quotient law and algebraic fractions) * Order of Operations (BIDMAS/BODMAS with variables) * Deductive algebraic reasoning (Working backwards to find missing coefficients and indices) **Why Teachers Love This Bundle** * **Ready to Print:** Just download the student pages and you are ready to teach! * **Scaffolded Rigor:** Problems systematically increase in difficulty, pushing students past basic computations into multi-step algebraic tracks. * **Unique Challenge Sections:** The fill-in-the-blank box sections prevent rote memorisation and truly test student mastery. * **Full Solutions:** Features step-by-step, handwritten-style answer keys to make marking quick or to allow for effortless student self-assessment. **Perfect For:** * Key Stage 3 (KS3) and Key Stage 4 (KS4) Maths Classrooms * GCSE Higher and Foundation Tier Algebra Revision * Independent Homework, Revision Tasks, or Extension Work * Cover Work and Lesson Finishers **Found this resource useful?** Please leave a review to share your feedback! Don't forget to visit my shop to discover more high-quality maths printables and revision activities.

£2.99
Bundle

Algebra 1 Operations with Monomials & Polynomials Worksheets Bundle | Homework

A collection of six worksheets on the following topics: * Adding, subtracting, multiplying and dividing monomials * Adding polynomials * Subtracting polynomials * Multiplying polynomials * Dividing polynomials using long division * Mixed operations between monomials and polynomials The exercises also include evaluating a polynomial at a given value, proving algebraic identities and finding algebraic expressions to represent the area of given shapes. Detailed solutions are provided. **Master all four operations with monomials and polynomials using this ultimate, comprehensive algebra practice worksheets bundle!** Whether you need rigorous classroom activities, structured homework assignments, targeted intervention, or reliable GCSE revision, this 6-worksheet collection is designed to challenge and support secondary maths students as they build total mathematical fluency with algebraic expressions. Teachers love that this bundle features a scaffolded approach. It starts with foundational single-term rules and seamlessly builds up to complex multi-step polynomial operations, algebraic long division with remainders, and geometric area applications! **What’s Included in This Resource Bundle?** This resource consists of a massive collection of student practice pages and comprehensive answer keys: * **Student Practice Worksheets:** Multiple dedicated packets featuring deeply structured, multi-part maths problems. * **Complete, Step-by-Step Answer Keys:** Exhaustive, multi-page keys showing the exact mathematical breakdown, long division layouts, and box-filling answers for every single problem. Perfect for easy marking, student self-assessment, or hassle-free cover lessons! **The 6 Core Skill Areas Covered:** * **1. Operations Between Monomials** – Direct practise with matching equivalent expressions, finding sums, multiplying variables, and dividing complex single terms. * **2. Adding & Subtracting Polynomials** – Practise combining like terms, expanding negative signs outside brackets, and navigating mixed operations. * **3. Multiplying Polynomials –** Expanding brackets from simple double-bracket binomial distributions to multiplying large multi-term expressions together. * **4. Polynomial Long Division** – Dedicated practise dividing polynomials by binomials and trinomials to calculate clean quotients and rational remainders. * **5. Function Operations & Proving Identities** – High-level challenges requiring students to evaluate complex expressions by substituting polynomial functions and proving that both sides of an algebraic equation are equal. * **6. Geometric Word Problems & Box-Filling** – Missing-term puzzles to strengthen mental maths, plus real-world application problems requiring students to write algebraic expressions for the area of custom geometric composite shapes. **Curriculum Alignment:** * **UK National Curriculum (KS4):** Arguments and proofs using algebraic identities; addition, subtraction, multiplication, and division of polynomial expressions; finding areas of composite shapes algebraically. * **GCSE Maths (9-1) Higher Tier:** Advanced algebra topics matching core criteria across all major exam boards (AQA, Edexcel, OCR).

£3.50

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