OCR MEI C1 2009 January — Question 6 3 marks

Exam BoardOCR MEI
ModuleC1 (Core Mathematics 1)
Year2009
SessionJanuary
Marks3
PaperDownload PDF ↗
Mark schemeDownload PDF ↗
TopicSolving quadratics and applications
TypeSolving simple rational equations
DifficultyEasy -1.8 This is a very straightforward rational equation requiring only basic algebraic manipulation: multiply both sides by 2x to get 3x+1=8x, then rearrange to 5x=1. Despite being labeled as leading to a quadratic, it's actually linear and requires minimal steps—well below average difficulty for A-level.
Spec1.02c Simultaneous equations: two variables by elimination and substitution
6 Solve the equation \(\frac { 3 x + 1 } { 2 x } = 4\).
Question 6:
AnswerMarks Guidance
Answer/WorkingMark Guidance
\(3x + 1 = 2x \times 4\)M1
\(5x = 1\)M1
\(\frac{1}{5}\) or \(0.2\) o.e. www
OR: \(1.5 + \frac{1}{2x} = 4\)M1
\(\frac{1}{2x} = 2.5\) o.e.M1
Total: 3 marks 
# Question 6:

| Answer/Working | Mark | Guidance |
|---|---|---|
| $3x + 1 = 2x \times 4$ | M1 | |
| $5x = 1$ | M1 | |
| $\frac{1}{5}$ or $0.2$ o.e. | | www |
| OR: $1.5 + \frac{1}{2x} = 4$ | M1 | |
| $\frac{1}{2x} = 2.5$ o.e. | M1 | |
| **Total: 3 marks** | | |

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6 Solve the equation $\frac { 3 x + 1 } { 2 x } = 4$.

\hfill \mbox{\textit{OCR MEI C1 2009 Q6 [3]}}
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Q1 2 Q2 3 Q3 3 Q4 3 Q5 5 Q6 3 Q7 4 Q8 4 Q9 4 Q10 5 Q11 14 Q12 11 Q13 11