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Algebra and functions (P3)

3.1

What the syllabus asks of you

  • Simplification of rational expressions including factorising and cancelling, and algebraic division.
  • Definition of a function. Domain and range of functions. Composition of functions. Inverse functions and their graphs.
  • The modulus function.
  • Combinations of the transformations y = f(x) as represented by y = af(x), y = f(x) + a, y = f(x + a), y = f(ax).

Read the notes first

Chapter 9: Algebra

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Drill this topic

All 27 questions on Algebra and functions (P3), untimed — answer on paper, then mark yourself against the mark scheme.

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Make a worksheet

Choose the years and how many questions, then print it with the answers on separate pages.

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27 questions

These are structured questions, answered in working rather than by picking an option, so they are not listed here one by one. The drill above puts each in front of you with its mark scheme to check against.