Manipulation of Formulae (Leaving Cert Mathematics): Quizzes

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Manipulation of Formulae
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What is the 'subject of the formula'?

The variable isolated on one side

In the formula A=(a+b)h2A=\frac{(a+b)h}{2}, which variable is the subject?

AA

In the trapezoid formula, what does the variable hh represent?

The vertical height

What does 'in terms of' mean when manipulating formulae?

One variable on one side, rest on other

When hh is made the subject of A=(a+b)h2A=\frac{(a+b)h}{2}, what is the result?

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

What is the first step to make hh the subject of A=(a+b)h2A=\frac{(a+b)h}{2}?

Multiply both sides by 2

What technique is used on 1h=kj+k\frac{1}{h}=\frac{k}{j+k} in the second example?

Cross multiplication

When kk is made the subject of 1h=kj+k\frac{1}{h}=\frac{k}{j+k}, what is the result?

k=jh−1k=\frac{j}{h-1}

What does manipulating a formula involve?

Rearranging terms to isolate a variable

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Algebraic Fractions

Factorisation

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Algebraic Fractions

Factorisation

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The Basics

Algebraic Fractions

Factorisation

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Algebraic Fractions

Factorisation

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