Question 7 - A-Level Maths

OCR MEI C1 2007 June — Question 7 3 marks

Exam Board	OCR MEI
Module	C1 (Core Mathematics 1)
Year	2007
Session	June
Marks	3
Paper	Download PDF ↗
Mark scheme	Download PDF ↗
Topic	Solving quadratics and applications
Type	Solving simple rational equations
Difficulty	Easy -1.2 This is a straightforward algebraic manipulation question requiring students to clear the fraction by multiplying both sides by 2x, then rearrange to form and solve a linear equation (not actually quadratic). It's simpler than average A-level content, involving only basic algebraic skills with no problem-solving insight needed.
Spec	1.02c Simultaneous equations: two variables by elimination and substitution

7 Solve the equation \(\frac { 4 x + 5 } { 2 x } = - 3\).

Show mark scheme Show mark scheme source

Question 7:

Answer	Marks	Guidance
\(\frac{4x+5}{2x} = -3\)
\(4x + 5 = -6x\)	M1	Multiply both sides by \(2x\)
\(10x = -5\)	A1	Collect terms
\(x = -\frac{1}{2}\)	A1	Correct answer

## Question 7:
$\frac{4x+5}{2x} = -3$ | |
$4x + 5 = -6x$ | M1 | Multiply both sides by $2x$
$10x = -5$ | A1 | Collect terms
$x = -\frac{1}{2}$ | A1 | Correct answer

---

Show LaTeX source

7 Solve the equation $\frac { 4 x + 5 } { 2 x } = - 3$.

\hfill \mbox{\textit{OCR MEI C1 2007 Q7 [3]}}

This paper (13 questions)

View full paper

Q1 3 Q2 3 Q3 2 Q4 3 Q5 4 Q6 4 Q7 3 Q8 5 Q9 4 Q10 5 Q11 12 Q12 12 Q13 12