4MA0 Foundation January 2016 Paper 1 Q20

EdexcelFoundationOld spec5 marksDrawing & Using Graphs Linear Inequalities

(a) On the grid, draw the graph of \(y = 2x + 3\) for values of \(x\) from −2 to 4

Grid with x from -2 to 4 and y from -3 to 11

(3)

(b) Show, by shading on the grid, the region that satisfies all three of the inequalities

\(x \leqslant 3\) and \(y \geqslant 2\) and \(y \leqslant 2x + 3\)

Label your region R. (2)

Mark scheme (a)

Scheme	Marks
(−2, −1) (−1, 1) (0, 3) (1, 5) (2, 7) (3, 9) (4, 11) Answer: correct line	B3
	(3)

Notes

B3: for \(y = 2x + 3\) drawn from \(x = -2\) to 4
if not B3 then B2 for a correct straight line segment through at least 3 of (−2, −1) (−1, 1) (0, 3) (1, 5) (2, 7) (3, 9) (4, 11) OR for all of (−2, −1) (−1, 1) (0, 3) (1, 5) (2, 7) (3, 9) (4, 11) plotted but not joined
if not B2 then B1 for any 2 correct points stated (could be in a table) or plotted OR a line with a positive gradient through (0, 3) OR a line with gradient 2

Scheme	Marks
	M1
correct region	A1
	(2)