O-LevelMathematicsAlgebra and graphs4024/22 · Oct/Nov 2025 · Q216 Marks
Solve the equation. 2x+1 / x+4 + 5 = x. You must show all your working and give your answers correct to 2 decimal places.
- Solve the equation. 2x+1 / x+4 + 5 = x. You must show all your working and give your answers correct to 2 decimal places.[6]
Mark scheme
Marking points from the official mark scheme (Oct/Nov 2025). The mark or mark type is shown in brackets.
- [1] M1 for correct removal of fractions 2x+1=(x-5)(x+4) oe or 2x+1+5(x+4) = x(x+4)
- [1] M1 for correct expansion of all brackets x²-5x+4x-20 or 2x + 1 + 5x + 20 = x² + 4x or better
- [2] M2 for ([-3]±√([-3])²-4[×1]×-21)/(2[×1]) oe or for ([-3]+√P)/(2[×1]) or ([-3]-√P)/(2[×1]) or for (x - [-3]/2)² = [-3]/2 + 21 oe
- [2] 6.32, -3.32
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