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91

Last updated

29 June 2026

pdf, 77.89 KB
pdf, 77.89 KB

A worksheet on solving one-step, two-step and multi-step equations with fractions. The equations involve operations with positive and negative integers. There are 24 problems and detailed solutions are included.

This comprehensive, scaffolded worksheet packet is designed to take the stress out of teaching linear equations with rational coefficients. It guides Key Stage 3 and Key Stage 4 students seamlessly from simple one-step fractional equations all the way to complex multi-step problems featuring variables on both sides, expanding brackets over fractions, and clearing denominators.

Perfect for GCSE Maths preparation, this resource provides clear, step-by-step practice that builds confidence and algebraic fluency.

What’s Included in This Resource:

  • Scaffolded Practice Sheets: Carefully organised problems that increase in difficulty to help students build skills progressively.
  • Full Answer Key: Includes complete, step-by-step worked solutions for every single problem to save you hours of marking or to allow for student self-checking.

Skills Covered Step-by-Step:

  • One-Step Equations: Solving simple equations with fractional answers or clearing basic denominators.
  • Two-Step Equations: Isolating variables by adding/subtracting fractions and multiplying to solve.Multi-Step Equations: Collecting like terms, expanding brackets over fractions, and solving equations with variables on both sides of the equals sign.

Perfect For:

  • Independent Classwork or Homework Packets
  • KS3 Mastery & GCSE Foundation/Higher Tier Intervention
  • Cover Lessons / Emergency Cover Work
  • Maths Stations & Small Group Support
  • End-of-Unit Revision or Exam Prep

Curriculum Alignment (UK National Curriculum & GCSE):

  • KS3 Mathematics: Algebra – Solve linear equations in one variable containing fractions.
  • KS4 / GCSE Maths (Foundation & Higher): Solve linear equations in one variable note-form, including those with fluid fraction terms, expanding brackets, and collecting terms on both sides.

Why Teachers Love This Resource:
“Finding high-quality, step-by-step equation practice with fractions can be tough. This packet scaffolds the algebra perfectly so students don’t get overwhelmed by the fractional steps!”

If you find this resource helpful, please leave a review to help other teachers find it!

Get this resource as part of a bundle and save up to 42%

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

Bundle

Solving Equations Bundle | One Two & Multi Step | Integers and Fractions

Five worksheets on solving linear equations with integers. There are: * one-step equations * two-step equations * equations with the variable on both sides * equations with brackets * equations with fractions There are two worksheets one solving one-step and two-step equations, one worksheet on solving multistep equations with brackets, one worksheet on solving one-step, two-step and multi-step equations with fractions and one worksheet with mixed problems. Detailed solutions to all are provided. **The Ultimate Solving Linear Equations Worksheet Bundle!** This comprehensive, 5-resource print packet is perfectly scaffolded to take students from basic one-step integer equations all the way to complex multi-step equations involving fractions, expanding brackets, and clearing denominators.Perfect for Key Stage 3 and Key Stage 4, this bundle provides massive practice variety to help students master algebraic fluency and clear fractional coefficients with absolute confidence. **What’s Included in This 5-Worksheet Bundle:** * **Worksheet 1:** One-Step & Two-Step Equations with Integers – Ideal for foundational practice, reviewing inverse operations with positive and negative integers. * **Worksheet 2:** Comprehensive One-Step & Two-Step Equations – Expands on the basics with varied problem structures to ensure deep concept mastery. * **Worksheet 3:** Solving Equations with Brackets (Distributive Property) – Introduces expanding single and double brackets, collecting like terms, and handling integer solutions. * **Worksheet 4:** One-Step, Two-Step & Multi-Step Equations with Fractions – Teaches students how to work directly with fractional values and clear denominators from linear equations. * **Worksheet 5:** Ultimate Cumulative Linear Equations Practice – Synthesizes all skills, throwing integers, complex multi-step variables on both sides, brackets, and multi-fraction operations into one master challenge sheet. **Every Single Page Includes a Full Step-by-Step Answer Key!** No simple list of answers here! Every worksheet features complete, fully worked solutions for every single problem to save you hours of marking or to allow for effortless student self-correction. **Perfect For:** * **Independent Classwork & Homework Packets** * **KS3 Mastery & GCSE Foundation/Higher Tier Intervention** * **Cover Lessons & Emergency Cover Work** * **Maths Stations & Small Group Support** * **End-of-Unit Revision or Exam Preparation** **Curriculum Alignment (UK National Curriculum & GCSE):** * **KS3 Mathematics:** Algebra – Solve linear equations in one variable containing integers and fractions. * **KS4 / GCSE Maths (Foundation & Higher):** Solve linear equations in one variable, including those with fluid fraction terms, expanding brackets, and collecting terms on both sides.

£3.50

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