Algebraic Notation (Edexcel IGCSE Maths A (Modular))

Revision Note

Flashcards

Algebraic Notation

What is algebra?

  • Algebra is a topic in mathematics that uses letters to represent general (or unknown) numbers

    • x  and y  are two unknown numbers

      • More information is needed to find their values

  • Letters are also called variables

How do I write calculations in algebra?

  • Writing mathematical ideas in letters is called using algebraic notation

  • You can use + and – to mean add and subtract

    • a + b
      c + de

  • However no symbol is used for multiplication

    • ab  (means a × b
      3ab  (means 3 × a × b)

  • Fractions are used for division

    • a over b (means a ÷ b)

  • You can combine the ideas above

    • a b plus c over 3 (means a×b + c÷3)

    • The order of operations for numbers still works

      • work out a×b  and c÷ before adding them together

  • Powers (indices) and roots are the same as with numbers

    • a2  means a × a
      4a2  means 4 × a2

      • With the order of operations, a2 happens before multiplying by 4

    • square root of a means the square root of a

  • Brackets work in the same way as they do with numbers

    • 3 left parenthesis a space plus space b right parenthesis means 3 space cross times space left parenthesis a space plus space b right parenthesis

      • Add the a and b first, then multiply the result by 3 

Worked Example

Raheem is playing a game and starts with q  points.
He then earns a further 6 points.

(a) Use algebra to write down the total number of points that Raheem has.

Raheem has q + 6 points

The game then decides to doubles his total number of points.

(b) Use algebra to write down the number of points that Raheem now has.

Raheem has 2(q + 6) points

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Mark Curtis

Author: Mark Curtis

Mark graduated twice from the University of Oxford: once in 2009 with a First in Mathematics, then again in 2013 with a PhD (DPhil) in Mathematics. He has had nine successful years as a secondary school teacher, specialising in A-Level Further Maths and running extension classes for Oxbridge Maths applicants. Alongside his teaching, he has written five internal textbooks, introduced new spiralling school curriculums and trained other Maths teachers through outreach programmes.