[discia] GCSE Maths › Algebra › Solving Equations

Solving Equations

discia.org 10 questions · 25 marks
Name Date
  1. Either paper 2 marks

    \(6x - 5 = 31\)

    Work out the value of \(x\).

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    \(6\)
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  2. Either paper 2 marks

    Solve the equation \(\frac{x}5 + 7 = 17\)

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    \(50\)
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  3. Either paper 3 marks

    \(3x + 1 + 3x = 67\)

    Work out the value of \(x\).

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    \(11\)
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  4. Either paper 3 marks

    Solve the equation \(7(x + 5) = 98\)

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    \(9\)
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  5. Either paper 2 marks

    The solution of the equation

    \(9x + b = -84\)

    is \(x = -8\).

    Find the value of \(b\).

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    \(-12\)
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  6. Either paper 2 marks

    Solve \(25 - 6x = -35\)

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    \(10\)
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  7. Either paper 3 marks

    Isla is trying to solve \(9x - 36 = 45\). Here is her working, with each line numbered.

    Line 1: \(9x + 36 = 45\)

    Line 2: \(9x = 9\)

    Line 3: \(x = 1\)

    (a)

    State the number of the line on which Isla first makes a mistake.

    (b)

    Calculate the correct value of \(x\).

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    (a) \(1\)
    (b) \(9\)
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  8. Either paper 3 marks

    Solve \(8x + 8 = 3x - 7\)

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    \(-3\)
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  9. Either paper 2 marks

    The solution of the equation

    \(a(x + 7) = 40\)

    is \(x = 1\).

    Calculate the value of \(a\).

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    \(5\)
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  10. Either paper 3 marks

    Solve the equation \(9(x + 4) = 6(x + 9)\)

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    \(6\)
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discia.org Solving Equations · sheet 1
Answers Solving Equations · sheet 1
  1. \(6\)
  2. \(50\)
  3. \(11\)
  4. \(9\)
  5. \(-12\)
  6. \(10\)
  7. (a) \(1\)
    (b) \(9\)
  8. \(-3\)
  9. \(5\)
  10. \(6\)
discia.org Solving Equations · sheet 1