OCR MEI C1 — Question 7 5 marks

Exam BoardOCR MEI
ModuleC1 (Core Mathematics 1)
Marks5
PaperDownload PDF ↗
Mark schemeDownload PDF ↗
TopicSimultaneous equations
TypeLine intersecting quadratic curve
DifficultyModerate -0.8 This is a straightforward simultaneous equations question requiring students to equate the expressions, form a quadratic, and solve for two intersection points. It's a standard C1 exercise with routine algebraic manipulation and no conceptual challenges, making it easier than average but not trivial since it requires careful execution of multiple steps.
Spec1.02c Simultaneous equations: two variables by elimination and substitution1.02q Use intersection points: of graphs to solve equations
7 Find the coordinates of the points where the line \(y = 3 x - 2\) cuts the curve \(y = x ^ { 2 } + 4 x - 8\).
Question 7:
AnswerMarks
\(3x-2 = x^2+4x-8 \Rightarrow x^2+x-6=0\)M1
\(\Rightarrow (x+3)(x-2)=0 \Rightarrow x=2,\ -3\)M1 A1
\(\Rightarrow y=4,\ -11\)
i.e. \((2,4),\ (-3,-11)\)B1 B1 
## Question 7:
$3x-2 = x^2+4x-8 \Rightarrow x^2+x-6=0$ | M1 |
$\Rightarrow (x+3)(x-2)=0 \Rightarrow x=2,\ -3$ | M1 A1 |
$\Rightarrow y=4,\ -11$ | |
i.e. $(2,4),\ (-3,-11)$ | B1 B1 |

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7 Find the coordinates of the points where the line $y = 3 x - 2$ cuts the curve $y = x ^ { 2 } + 4 x - 8$.

\hfill \mbox{\textit{OCR MEI C1  Q7 [5]}}
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Q1 2 Q2 3 Q3 4 Q4 4 Q5 4 Q6 4 Q7 5 Q8 5 Q9 5 Q10 12 Q11 12 Q12 12