Manipulation of Formulae (Junior Cert Mathematics): Quizzes

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Manipulation of Formulae
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What does it mean to 'make a variable the subject' when manipulating formulae?

Get it by itself on one side

What is the first step when manipulating formulae?

Get rid of brackets, fractions, roots

When manipulating formulae, where should you move all terms with the variable you want?

To the Left-Hand Side (LHS)

When should you factor out a variable during manipulation?

If it appears in more than one term

What is yy when 3x+2y=123x + 2y = 12 is rearranged to make yy the subject?

y=63x2y = 6 - \frac{3x}{2}

When eliminating fractions by multiplying, what must you remember?

Multiply every term on both sides

What is rr when prq=p\sqrt{\frac{p}{r-q}} = p is rearranged to make rr the subject?

r=1p+qr = \frac{1}{p} + q

When dealing with square roots in manipulation, what must you do to both sides?

Square every term

What is tt when A=2t+34t5A = \frac{2t+3}{4t-5} is rearranged to make tt the subject?

t=5A+34A2t = \frac{5A+3}{4A-2}

What happens to an operation when you move a term across the equation?

The operation is reversed

What is xx when 5x+3=7\frac{5}{x} + 3 = 7 is rearranged to make xx the subject?

x=54x = \frac{5}{4}

What is hh when A=2hA = \sqrt{2h} is rearranged to make hh the subject?

h=A22h = \frac{A^2}{2}

What is the first step when solving linear equations with brackets?

Expand the brackets

What is the solution to 4(x2)=124(x - 2) = 12?

x=5x = 5

What is yy when 4x+7y=284x + 7y = 28 is rearranged to make yy the subject?

y=44x7y = 4 - \frac{4x}{7}

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