Rearranging Literal Equations & Transforming Formulas Worksheet | with Keys

A worksheet on transforming equations and formulas to change their subject. There are 24 problems in which students are required to rearrange given equations to solve for a specified variable. The equations may have fractions, brackets or square roots. Detailed solutions are provided.

Are your students struggling to change the subject of a formula or isolate specific variables? Take the stress out of planning your algebra lessons with this comprehensive, scaffolded rearranging formulas worksheet and full solutions pack!
This resource is carefully designed to guide students smoothly from basic one-step rearrangements to complex multi-variable equations. It is the ultimate tool for helping learners realize that rearranging formulas uses the exact same inverse operations as solving standard linear equations. It is perfect for your secondary maths classes, GCSE revision sessions, homework tasks, or cover plans!

What is Included in This Download?

• Scaffolded Practice Problems: Carefully sequenced question boxes that give students plenty of dedicated workspace to show their algebraic workings.

• Full Step-by-Step Solutions: Complete, fully worked-out answer keys for every single problem to save you hours of marking time and allow for easy student self-checking.

• No-Prep Needed: A ready-to-print PDF file that requires zero assembly time!

  Key Skills & Topics Covered

• One-Step & Two-Step Rearranging: Quick introductory practice using basic inverse operations like addition, subtraction, multiplication, and division.

• Clearing Denominators (Fractions): Learning how to isolate variables trapped inside algebraic fractions and rational expressions.

• Handling Brackets & Distributive Law: Multiplying across brackets and expanding expressions safely before rearranging.

• Advanced Variable Factoring: Solving complex problems where the target variable appears in multiple terms and must be factorised out.

• Radicals & Powers: Undoing square roots to successfully isolate the hidden unknown variable.

Target Audience & Year Groups:

• Key Stage 3 (KS3): Year 8 and Year 9 advanced curriculum practice, enrichment, and algebraic mastery.
• Key Stage 4 (KS4 GCSE): Essential practice for both GCSE Foundation and Higher tier students mastering the “Changing the Subject of a Formula” exam topic.
• Differentiated Learning: Use individual sections for targeted intervention or print the whole document as a comprehensive revision booklet.