Rearranging formulae (AQA GCSE Further Maths): Flashcards

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Rearranging formulae
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Subject of a formula

Variable that stands alone on one side of the equation

Golden rule when rearranging formulae

Do the same operation to both sides of the equation

Operations used in simple rearrangements

Inverse operations like division and multiplication

Make rr the subject of C=2πrC = 2\pi r

r=C2πr = \frac{C}{2\pi}

Solutions when taking square roots

Both positive and negative solutions usually exist

Which square root value for real-world lengths?

Only the positive value

When a variable appears multiple times, first step?

Collect all terms containing that variable

After collecting terms with variable, next step?

Factorise

First step when rearranging formulae with fractions?

Multiply both sides by the denominator

Purpose of inverse operations in rearranging

To undo what's being done to the target variable

Inverse operation of multiplication

Division

Inverse operation of addition

Subtraction

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