Moderate -0.8 This is a straightforward algebraic rearrangement requiring expansion, collection of y terms, and factorization. While it involves a quadratic structure, it's simpler than typical C1 questions as it requires only basic algebraic manipulation with no problem-solving insight needed.
for division and no wrong work after; ft earlier errors for equivalent steps if error does not simplify problem
Total: 4 marks
# Question 9:
| Answer/Working | Mark | Guidance |
|---|---|---|
| $y + 5 = xy + 2x$ | M1 | for expansion |
| $y - xy = 2x - 5$ oe or ft | M1 | for collecting terms |
| $y(1 - x) = 2x - 5$ oe or ft | M1 | for taking out $y$ factor; dep on $xy$ term |
| $y = \frac{2x-5}{1-x}$ oe or ft as final answer | M1 | for division and no wrong work after; ft earlier errors for equivalent steps if error does not simplify problem |
| **Total: 4 marks** | | |
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