Discia GCSE Maths › Algebra › Simplifying Algebra

Simplifying Algebra worksheet

10 GCSE practice questions with answers, free to print. Every sheet is generated, so you can make a fresh one whenever you need it.

10 questions 22 marks Sheet 1
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  1. 2 marks

    Simplify \(8s + 8t + 4 - 6s - 3 +t\)

  2. 2 marks
    (a)

    Simplify \(3a \times 6b\)

    (b)

    Simplify \(2a \times 6a\)

  3. 2 marks

    Simplify fully \(9x^2 + 2x - 5x^2 + 5x\)

  4. 2 marks

    Simplify \(\frac{ 12a^{ 6 } }{ 2a^{ 3 } }\)

  5. 4 marks

    Here is an expression.

    \(3c + 7d -c - 3d\)

    (a)

    Simplify the expression.

    (b)

    Work out the value of the expression when \(c = 2\) and \(d = -6\).

  6. 2 marks

    When \(6p + 6q + kp + 7q\) is simplified, the result is \(2p + 13q\).

    Work out the value of \(k\).

  7. 2 marks

    Simplify \((2y^{ 4 })^{ 2 }\)

  8. 2 marks

    \(\frac{ 36a^{ 6 } }{ 6a^n } = 6a^{ 3 }\)

    Work out the value of \(n\).

  9. 2 marks

    Write \(4s + 7t + 5 -s - 2 - 5t\) in its simplest form.

  10. 2 marks
    (a)

    Simplify \(2c \times 5d\)

    (b)

    Simplify \(6c \times 2c\)

Answers

  1. \(2s + 9t + 1\)
  2. (a) \(18ab\)
    (b) \(12a^2\)
  3. \(4x^2 + 7x\)
  4. \(6a^{ 3 }\)
  5. (a) \(2c + 4d\)
    (b) \(-20\)
  6. \(-4\)
  7. \(4y^{ 8 }\)
  8. \(3\)
  9. \(3s + 2t + 3\)
  10. (a) \(10cd\)
    (b) \(12c^2\)

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