Solving Simple Equations: WJEC GCSE Intermediate June 2022 Unit 1 Q7

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Intermediate June 2022 Unit 1 Q7

WJECIntermediateCurrent spec5 marksSolving Simple Equations

7. Solve each of the following equations.

(a) \(4y - 3 = 15\) [2]

(b) \(8x - 38 = 17 - 3x\) [3]

Mark scheme (a)

Scheme	Marks	Comments
\(4y = 18\)	B1
\(y\) = 4½ or 18/4 or 9/2 or 4·5	B1	Mark final answer. FT from \(4y = k\). If FT leads to a whole number answer, it must be shown as a whole number. Otherwise accept a fraction. Award B1B1 for a final answer of 4r2 only if a correct answer is seen. Award B1B0 for unsupported 4r2. Allow B1B1 for a correct embedded answer BUT only B1B0 if contradicted by \(y \ne\) 4½.

Mark scheme (b)

Scheme	Marks	Comments
\(8x + 3x = 17 + 38\) OR \(-17 - 38 = -8x - 3x\)	B1	FT until 2^nd error.
\(11x = 55\) OR \(-55 = -11x\)	B1
\(x = 5\)	B1	Mark final answer. If FT leads to a whole number answer, it must be shown as a whole number. Otherwise, accept a fraction. Allow B1B1B1 for a correct embedded answer BUT only B1B1B0 if contradicted by \(x \ne 5\)