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Grade 10 · Algebra · 85 pages · PDF

Rearranging Formulas

Clear, exam-focused notes on changing the subject of a formula, from one-step rearrangements to formulas where the subject appears twice, with fully worked examples.

A complete 22-page IGCSE guide to rearranging formulas. It starts with the subject of a formula and the balance principle. It then teaches one-step and multi-step rearrangements, formulas with powers and roots, and formulas with fractions, including when the subject is in the denominator. Later sections cover the harder cases where the subject appears more than once (collect, factorise, divide), plus quadratic and nested-root rearrangements. Throughout, the notes use real formulas from geometry and physics. Every example is fully worked and checked by substituting back. It ends with a decision flowchart, a summary and exam tips.

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Topics covered

  • The subject of a formula
  • Inverse operations and the balance principle
  • Rearranging with addition and subtraction
  • Rearranging with multiplication and division
  • Multi-step rearrangements
  • Formulas with powers and roots
  • Formulas with fractions
  • When the subject is in the denominator
  • When the subject appears more than once
  • Harder rearrangements
  • Choosing the right approach
  • Rearranging science and geometry formulas
Format
Print-ready PDF
Items
4
Delivery
By email

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