Grade 11 · Algebra · 83 pages · PDF

Linear Simultaneous Equations

Clear, exam-focused notes on solving simultaneous equations by substitution, elimination and graphs, with fully worked examples.

A complete 20-page IGCSE guide to linear simultaneous equations. It covers the substitution, elimination and graphical methods, with clear guidance on which to choose. It then works through harder exam-style questions that need rearranging first or involve fractions. A full section covers forming and solving equations from word problems on prices, ages, perimeters and speeds. The notes also explain the special cases of no solution and infinitely many solutions. Every method comes with step-by-step worked examples, an answer check and common mistakes to avoid. It ends with a summary, a quick-reference guide and exam tips.

What's in the pack

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• Worksheet · 36 pages

  Worksheet

  Practice questions in the order the notes teach them.

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• Solutions · 23 pages

  Solutions

  Every worksheet question worked in full.

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• Main Notes · 21 pages

  Main Notes

  The full notes: one idea per page, a worked example beside every rule.

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• Cheatsheet · 3 pages

  Cheatsheet

  The whole topic on a page or two, for the night before.

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Topics covered

• What simultaneous equations are
• The substitution method
• The elimination method
• Choosing between substitution and elimination
• The graphical method
• Equations that need rearranging first
• Equations with fractional coefficients
• Price and cost problems
• Age, geometry and speed problems
• No solution (parallel lines)
• Infinitely many solutions (identical lines)
• Summary and exam tips

Format

Print-ready PDF

Items

4

Delivery

By email