Foundation November 2020 Paper 1 Q20

EdexcelCurrent spec8 marksFactorising Solving Simple Equations

(a) Solve \(\;5(4 - x) = 7 - 3x\)
Show clear algebraic working. (3)

(b) Factorise fully \(\;16m^3g^3 + 24m^2g^5\) (2)

(c)

(i) Factorise \(\;y^2 - 2y - 48\) (2)

(ii) Hence, solve \(\;y^2 - 2y - 48 = 0\) (1)

Mark scheme (a)

Scheme	Marks
\(20 - 5x\;(= 7 - 3x)\)	M1
E.g. \(20 - 7 = -3x + 5x\) or \(-5x + 3x = 7 - 20\)	M1
Working required Answer: 6.5 oe	A1
	(3)

Notes

M1: for expansion of bracket

M1: ft from a 4-term equation for a correct process of isolating terms in \(x\) on one side of the equation and numbers on the other side

A1: dep on M2 awarded

Mark scheme (b)

Scheme	Marks
	M1
\(8m^2g^3(2m + 3g^2)\)	A1
	(2)

Notes

M1: for any correct partial factorisation with at least 2 factors, one of which must be a letter or the correct common factor with no more than 1 error inside the bracket

Scheme	Marks
(i) \((y \pm 6)(y \pm 8)\)	M1
\((y - 8)(y + 6)\)	A1
	(2)
(ii) Answer: 8, −6	B1
	(1)
	(8 marks)