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

Algebra 9

17 practice questions

Practice questions

1–6 of 6 · Easy

  1. Question 1

    2 marks · Easy

    Solve the following simultaneous equations for :

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  2. Question 2

    2 marks · Easy

    Explain how to find the intersection points of the graphs of and .

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  3. Question 3

    3 marks · Easy

    The statement is: "The sum of any two even numbers is always even."

    (a)

    Write an algebraic expression for two even numbers.

    [1 mark]
    (b)

    Show algebraically that their sum must be even.

    [2 marks]
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  4. Question 4

    3 marks · Easy

    The graphs below represent the equations and .

    Values for \(y = x^2\) and \(y = x + 4\)
    xy = x^2y = x + 4
    -391
    -242
    -113
    004
    115
    246
    397
    (a)

    From the table, write down the two values of where the graphs intersect.

    [2 marks]
    (b)

    Give the corresponding value of at either point of intersection.

    [1 mark]
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  5. Question 5

    1 mark · Easy

    State how you can check that your solutions to a pair of simultaneous equations are correct.

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  6. Question 6

    2 marks · Easy

    Show, by using algebra, that the difference between two consecutive even numbers is always 2.

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