IP EMaths Notes (Upper Sec, Year 3-4): 01) Algebraic Tools
In one line
Core expansion, factorisation, and simplification identities that power the rest of IP Elementary Mathematics.
Last updated 30 Nov 2025
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- Start Here
- Key skills to lock in
- Worked example - Rewrite for evaluation
- Worked example - Spot a perfect square / difference of squares
Q: What does IP EMaths Notes (Upper Sec, Year 3-4): 01) Algebraic Tools cover?
A: Core expansion, factorisation, and simplification identities that power the rest of IP Elementary Mathematics.
Keep algebra tidy so every later topic - graphs, trigonometry, variation - stays manageable. These identities should come out automatically.
Keep the full topic roadmap handy via our IP Maths tuition hub so you can jump into related drills, quizzes, or diagnostics as you move through these notes.
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These notes align with SEAB GCE O-Level Mathematics (4052) content used in IP programmes (exams from 2026).
Status: SEAB O-Level Mathematics 4052 syllabus (exams from 2026) checked 2025-11-30 - scope unchanged; remains the reference for these notes.
Start Here
| Read time | What to take away |
| 1 second | Algebra works when expressions stay tidy. |
| 10 seconds | Expand, collect like terms, factorise, and cancel only common factors. These habits keep later graph, equation, and trigonometry work manageable. |
| 100 seconds | Example: factor the numerator before cancelling a fraction. Cancelling terms that are only added or subtracted is the common trap. |
Key skills to lock in
- Apply the distributive law:
