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Pearson Edexcel International GCSE (9–1) · MATHEMATICS A · Chapter

Algebra 10

18 practice questions

Practice questions

11–18 of 18

  1. Question 11

    4 marks · Normal

    (a)

    Simplify the following algebraic fraction as much as possible:

    [2 marks]
    (b)

    Simplify the following algebraic fraction as much as possible:

    [2 marks]
    Answer and see the solution →
  2. Question 12

    4 marks · Normal

    A table shows two separate algebraic fractions for different values of :

    Values for \( f(x) = \frac{3}{x} \) and \( g(x) = \frac{x}{2} \)
    xf(x)g(x)
    23/21
    43/42
    61/23

    Complete the table below for the sum . Give your answers as simplified fractions.

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  3. Question 13

    2 marks · Normal

    Solve the following equation for :

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  4. Question 14

    3 marks · Normal

    Simplify the following algebraic fraction as much as possible:

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  5. Question 15

    3 marks · Normal

    You are asked to subtract the two algebraic fractions below and express your answer as a single simplified fraction:

    Describe the steps you will use to obtain your answer, and explain why the common denominator should be left factorised until the end.

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  6. Question 16

    2 marks · Hard

    Simplify the following algebraic fraction as far as possible:

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  7. Question 17

    4 marks · Hard

    Express the following as a single simplified fraction:

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  8. Question 18

    4 marks · Hard

    Solve the following equation for x. Give your answer in its simplest form.

    Answer and see the solution →