Manipulation of Formulae (Leaving Cert Mathematics): Flashcards

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Manipulation of Formulae
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What is manipulation of formulae?

Rearranging a formula to make a different variable the subject

Subject of the formula

Variable isolated on one side of the formula

What does 'A in terms of b, c' mean?

A is on one side, b and c are on the other

Trapezoid area formula

A=(a+b)h2A=\frac{(a+b)h}{2}

aa in trapezoid formula A=(a+b)h2A=\frac{(a+b)h}{2}

Length of the top of the trapezoid

hh in trapezoid formula A=(a+b)h2A=\frac{(a+b)h}{2}

Vertical height of the trapezoid

bb in trapezoid formula A=(a+b)h2A=\frac{(a+b)h}{2}

Base of the trapezoid

hh as subject of A=(a+b)h2A=\frac{(a+b)h}{2}

h=2A(a+b)h=\frac{2A}{(a+b)}

What techniques manipulate formulae?

Basic algebraic operations: multiply, divide, add, subtract, factor

How to make a variable the subject?

Isolate it on one side using algebraic operations

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Algebraic Fractions

Factorisation

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The Basics

Algebraic Fractions

Factorisation

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The Basics

Algebraic Fractions

Factorisation

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