Alevel_C1C2
Alevel_C1C2
Alevel_C1C2
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4<br />
Exam-style mark scheme<br />
Quadratic and linear relationships<br />
Question Scheme Marks<br />
Number<br />
1. (a) x = 5 - 4y, substitute x = 5 - 4y in 3x + 2y = -5<br />
15 − 12y + 2y = -5 B1oe<br />
10y = 20<br />
y = 2 and x = -3 A1 A1ft (3)<br />
(b) y = 2x + 3 B1<br />
2x 2 + 5x + 3(1 + 2x + 3) = 0<br />
B1<br />
2x 2 + 11x + 12 = 0<br />
(2x + 3)(x + 4) = 0 M1<br />
x = − 3 ⇒ y = 0<br />
2<br />
A1 A1ft<br />
x = −4 ⇒ y = −5 A1 A1ft (5)<br />
8<br />
2.<br />
y<br />
–2<br />
O<br />
3<br />
x<br />
B2 B1<br />
y – x + 3 = 0<br />
–3<br />
y = (x – 3)(x + 2)<br />
(-2, 0), (3, 0), (0.5, -6.25) minimum A4<br />
(-1, -4), (3, 0) A2<br />
9<br />
3. (a) 6x + 2 - 8x + 12 > 0 B1<br />
14 > 2x A1 (2)<br />
x < 7<br />
(b)<br />
y<br />
O<br />
1<br />
2<br />
x<br />
B2<br />
3y = 2x – 1<br />
– 1 3<br />
B1 (3)<br />
5<br />
© Oxford University Press 2008<br />
Core C1
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