Manipulating Formulae/ Changing the Subject: WJEC GCSE Higher June 2019 Unit 1 Q11

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Higher June 2019 Unit 1 Q11

11. Rearrange the following formula to make \(x\) the subject. [3]

\[\mathrm{c}x - 3 = 4x + d\]

Mark scheme

Scheme	Marks	Comments
		FT until 2^nd error provided equivalent difficulty.
\(cx - 4x = d + 3\) or \(-\,3 - d = 4x - cx\)	B1	Collecting \(x\) terms.
\(x(c - 4) = d + 3\) or \(-\,3 - d = x(4 - c)\)	B1	Factorising.
\(x = (d + 3)/(c - 4)\) or \(x = (-\,3 - d)/(4 - c)\) or equivalent	B1	Dividing. Mark final answer.