Foundation June 2025 Paper 1 Q23
23
(a) For each of the algebraic statements below decide whether it is an equation or an identity.
| \((x - 1)(x - 2) = 12\) | is an .......................... |
| \((x - 1)(x - 2) = x^2 - 3x + 2\) | is an .......................... |
| \(x^2 = 3x + 10\) | is an .......................... |
[1]
(b) A straight line is parallel to \(y = 3x\) and passes through the point \((2, 11)\).
Find the equation of the line in the form \(y = mx + c\). [3]
| Answer | Marks | Part marks and guidance | |
|---|---|---|---|
| Equation Identity Equation | 1 | ||
| Answer | Marks | Part marks and guidance | |
|---|---|---|---|
| \(y = 3x + 5\) as final answer | 3 | B2 for final answer \(3x + 5\) or for a correct equation but not in required form isw OR M2 for using \((2, 11)\) correctly in \(y = 3x + c\) oe or M1 for “\(y = 3x + c\)” or for \(y = 3x + k\) oe where \(k\) is any numerical value except 0 or 5 or for correctly substituting \((2, 11)\) in \(y = mx + c\) oe \((m \ne 3)\) | B2 for e.g. \((y - 11) = 3(x - 2)\) or \(y - 3x = 5\) or \(3x - y + 5 = 0\) as the answer B2 for \(y = 3x + 5\) seen in working and subsequently spoilt (excluding changing to a perpendicular gradient) e.g. \(11 = 3 \times 2 + c\) e.g. \(11 = \dfrac{1}{3} \times 2 + c\) |