糖心Vlog

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糖心Vlog

Last updated

10 July 2026

pdf, 99.54 KB
pdf, 99.54 KB

A worksheet on rearranging formulas to solve for a variable in order to change the subject of a formula. The exercises require to multiply or divide both sides of the given equation by a number or variable, move terms from the one side of the equation to the other, multiply out a bracket that contains the variable to become the subject, and take the square or cube root of both sides of the equation. Detailed solutions included.

Master rearranging equations and changing the subject of a formula with this comprehensive algebra practice worksheet!

Whether you need a rigorous classroom activity, a structured homework assignment, or a reliable revision resource, this layout is designed to challenge and support secondary maths students as they build total fluency with rearranging mathematical and scientific formulas.

Teachers love that this practice packet features a scaffolded approach. It moves seamlessly from basic one-step linear isolation to complex multi-step geometric formulas involving fractions, squares, cubes, square roots, and cube roots!

What鈥檚 Included in This Resource?

  • Student Practice Worksheet: 2 pages featuring 12 deeply structured maths problems.
  • Complete, Step-by-Step Answer Key: 2 pages showing the exact mathematical breakdown and algebraic isolation for every single formula. Perfect for easy marking, student self-assessment, or hassle-free cover lessons!

Skills Covered & Problem Breakdown:

  • Basic Multi-Step Rearranging: Direct practise isolating variables using multiplication, division, addition, and subtraction.
  • Rational and Fractional Formulae: Challenging setups where students clear denominators to isolate variables hidden within fractions.
  • Real-World Geometry and Science Formulae: Practise rearranging authentic, well-known formulae such as the area of a trapezium, kinetic energy, and the volume of a cylinder or sphere.
  • Powers and Roots Isolation: Advanced problems requiring students to use square roots and cube roots to isolate variables raised to powers (like radius squared or cubed).

Curriculum Alignment:

  • UK National Curriculum (KS3/KS4): Substitute numerical values into formulae and expressions, including scientific formulae; change the subject of a formula.
  • GCSE Maths (9-1) Foundation & Higher Tier: Core algebra topics matching the rearranging formulae criteria across all major exam boards (AQA, Edexcel, OCR).

Get this resource as part of a bundle and save up to 24%

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

Bundle

Rearranging Formulas & Literal Equations Worksheets | Algebra 1 Answer Key

Three worksheets on rearranging formulas and literal equations. Some of the equations in the exercises involve fractions, brackets, square or cube roots or the variable to solve for on both sides. The students have to multiply or divide both sides of the given equation by a number or variable, move terms from the one side of the equation to the other, multiply out a bracket that contains the variable to become the subject, and take the square or cube root of both sides of the equation. Detailed solutions to all worksheets are included. **Are your students struggling to change the subject of a formula when equations are full of letters instead of numbers?** Take the frustration out of literal equations with this comprehensive, 3-resource worksheet bundle designed to build confidence and mastery! This ready-to-print bundle moves students seamlessly from basic one-step rearrangements to complex, multi-step formulae involving square roots, fractions, and brackets. It is the perfect addition to your KS3 and KS4 algebra toolkit, GCSE maths preparation, or secondary physics maths review! **What鈥檚 Included in This Bundle:** * **Guided Examples & Practice Pages:** Introduces the core concepts of rearranging formulae with clear, step-by-step visual examples (like rectangle perimeter and trapezium area formulas). * **Comprehensive Exercise Sets:** Over 35 carefully organized problems ranging from simple linear isolation to multi-variable distributions. * **Match-Up Activity Worksheets:** An engaging matching exercise where students pair original formulas with their correct equivalent arrangements. * **Complete Step-by-Step Answer Keys:** Fully worked-out solutions for every single problem to make marking quick and easy or to allow for student self-checking. **Curriculum Alignment:** * **GCSE Maths (Foundation & Higher):** Rearrange formulae to change the subject, including cases where the subject appears twice or power/root terms are involved. * **Key Stage 3 & 4 National Curriculum:** Substitute numerical values into formulae and expressions, and change the subject of a formula using inverse operations. **Perfect For:** * KS3 Advanced Maths & KS4 Core GCSE Lessons * High School Physics / Chemistry Maths Review * Homework Assignments, Cover Lessons, or Independent Study * Revision, Assessment Prep, and Intervention Groups

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