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

Algebra 10

18 practice questions

Practice questions

1–10 of 18

  1. Question 1

    1 mark · Easy

    Solve the equation for .

    Answer and check →
  2. Question 2

    2 marks · Easy

    Simplify the following algebraic fraction as far as possible:

    Answer and see the solution →
  3. Question 3

    2 marks · Easy

    Explain why you need to find a lowest common denominator when adding the following algebraic fractions:

    Answer and see the solution →
  4. Question 4

    3 marks · Easy

    Solve the following equation for :

    (a)

    Write down the first step you would use to start solving the equation.

    [1 mark]
    (b)

    Complete the solution to find the value of .

    [2 marks]
    Answer and see the solution →
  5. Question 5

    3 marks · Easy

    The table gives values of and , and the algebraic fraction for selected values of . Complete the missing entries.

    ab
    2??
    3??
    6??
    Answer and see the solution →
  6. Question 6

    1 mark · Easy

    Write and as a single simplified fraction.

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  7. Question 7

    2 marks · Easy

    Solve the equation .

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  8. Question 8

    2 marks · Normal

    Simplify the following algebraic fraction completely:

    Answer and see the solution →
  9. Question 9

    3 marks · Normal

    Combine the following algebraic fractions as a single simplified fraction:

    Answer and see the solution →
  10. Question 10

    3 marks · Normal

    Explain why it is necessary to clear denominators when solving an equation such as

    and, by following this idea, show the first step of working for this equation.

    Answer and see the solution →