ma
Rearranging Formulae
Chapter summary, hard words and model exam answers for ICSE Class 10 Hindi.
Free online summary and notes (ICSE Class 10 Hindi). Read it here, no PDF download needed.
About the author
Mathematics · CBSE 10 · ICSE 10 · GCSE (AQA, Edexcel, OCR)
Summary
The subject is the letter standing by itself. To change the subject you use inverse operations to peel everything else away.
Add, subtract, multiply, divide, square or square-root both sides equally. The equation stays true the whole way.
In v = u + at, t was multiplied by a then u was added. To free t, undo the addition first, then the multiplication.
From ax + b = cx + d: collect the x terms (ax − cx = d − b), factorise (x(a−c) = d−b), divide (x = (d−b)/(a−c)).
Hard words & meanings
| subject of a formula | the variable written alone on one side, in terms of the others |
| rearrange | to use inverse operations to make a different variable the subject |
| inverse operation | the operation that undoes another, e.g. ÷ undoes × |
| transpose | another word for rearranging a formula |
| factorise out | to take a common letter outside a bracket, e.g. ax + ay = a(x + y) |
| denominator | the bottom of a fraction; clear it by multiplying both sides |
| literal equation | an equation built mostly of letters standing for real quantities |
| isolate | to leave a variable alone on one side |
Model exam answers, grammar & audio
You have read the summary. The board-ready model answers, grammar notes, one-touch audio and writing practice for this chapter are part of Lipi©.
Sign in to unlockSee it, understand it, hear it read aloud, then write the exam answer with confidence, for a fraction of a tutor cost.