Algebraic Fractions: Eduqas GCSE Higher June 2024 Paper 2 Q14 – Westie's Workshop

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Higher June 2024 Paper 2 Q14

EduqasHigherCurrent spec4 marksAlgebraic Fractions Solving Simple Equations

14. Solve \(\dfrac{4x+5}{2} - \dfrac{x+1}{3} = \dfrac{5}{6}\).

You must show all your working. [4]

Mark scheme

Scheme	Marks	Comments
Correct equation with fractions removed or over a common denominator e.g. \(\dfrac{12x+15-2x-2}{(6)} = \dfrac{5}{(6)}\) or \(\dfrac{10x+13}{(6)} = \dfrac{5}{(6)}\) \(\dfrac{10x+17}{(6)} = \dfrac{5}{(6)}\) leads to \(x = -1.2\) B1 B1 B1	B2	May be seen in stages. FT until 2^nd error. B1 for 1 error OR for one of the following: \(\dfrac{3(4x+5) - 2(x+1)}{(6)} = \dfrac{5}{(6)}\) \(\dfrac{3(4x+5)}{(6)} - \dfrac{2(x+1)}{(6)} = \dfrac{5}{(6)}\) \(\dfrac{12x+15}{(6)} - \dfrac{2x+2}{(6)} = \dfrac{5}{(6)}\) \(\dfrac{6(4x+5)}{2} - \dfrac{6(x+1)}{3} = \dfrac{5}{6}\times6\) oe \(\dfrac{10x+13}{(6)}\)
\(10x = -8\) oe	B1	FT from B1 or from one slip
\(x = -0.8\) oe	B1	If FT answer is a whole number, then it must be shown as an integer. If a FT answer is given as a decimal it must be correctly rounded, or truncated, to 2 dp Note: An unsupported answer of -0.8 is awarded no marks.
	(4)

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