Algebraic Fractions: WJEC GCSE Higher November 2020 Unit 1 Q12

Your progress

Ticks are kept only in this browser: clearing your browsing data or changing device loses them. · ·

Higher November 2020 Unit 1 Q12

WJECHigherCurrent spec3 marksAlgebraic Fractions

12. Express the following as a single fraction in its simplest form. [3]

\[\frac{6}{3x-5} - \frac{4}{2x+1}\]

Mark scheme

Scheme	Marks	Comments
\(6\,(2x + 1) - 4\,(3x - 5)\) as a numerator within a single fraction	M1	Allow intention of brackets, e.g. \(6 \times 2x + 1 - 4 \times 3x - 5\)
\((3x - 5)\,(2x + 1)\) as a denominator	M1
\(26 / (3x - 5)\,(2x + 1)\)	A1	CAO. Allow \(26 / (6x^2 - 7x - 5)\) (If expanded, the denominator must be correct.) If M1 M1 A1, penalise further incorrect work –1. If no marks awarded, then SC1 for sight of 26.