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

Algebra 7

18 practice questions

Practice questions

1–7 of 7 · Easy

  1. Question 1

    1 mark · Easy

    Solve the quadratic equation .

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  2. Question 2

    2 marks · Easy

    A rectangle has a length that is 3 metres more than its width. Its area is 40 m². Find the width of the rectangle.

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  3. Question 3

    2 marks · Easy

    The solutions to the quadratic inequality are required.

    Write down the values of that satisfy the inequality.

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  4. Question 4

    3 marks · Easy

    A rectangular swimming pool is 4 m longer than it is wide. Its area is 60 m².

    (a)

    Let the width be metres. Write a quadratic equation to represent the area.

    [1 mark]
    (b)

    Solve your equation to find the width of the swimming pool.

    [2 marks]
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  5. Question 5

    3 marks · Easy

    The following table shows three different quadratic equations. For each equation, state the number of real solutions.

    Table of quadratic equations
    EquationNumber of real solutions
    x^2 - 9 = 0
    x^2 + 2x + 5 = 0
    x^2 - 4x + 4 = 0
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  6. Question 6

    1 mark · Easy

    A ball is thrown and its height (in metres) t seconds after being thrown is given by .

    At what time does the ball hit the ground again?

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  7. Question 7

    2 marks · Easy

    Solve the inequality and write your answer as an inequality.

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