[discia] GCSE Maths › Algebra › Solving One Step Equations

Solving One Step Equations

discia.org 10 questions · 16 marks
Name Date
  1. Either paper 1 mark

    \(9x = 54\)

    Work out the value of \(x\).

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    \(6\)
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  2. Either paper 1 mark

    \(x - 6 = -14\)

    Work out the value of \(x\).

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    \(-8\)
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  3. Either paper 1 mark

    Solve the equation \(\frac{x}{ 10 } = 5\)

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    \(50\)
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  4. Either paper 2 marks

    Solve the equation \(-8x = 56\)

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    \(-7\)
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  5. Either paper 2 marks

    Solve the equation \(28 - x = 14\)

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    \(14\)
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  6. Either paper 2 marks

    Solve \(x + 0.6 = 15.4\)

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    \(14.8\)
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  7. Either paper 3 marks

    A shop sells paint brushes. Each paint brush costs \(c\) pounds.

    (a)

    Naomi buys 3 paint brushes. She pays £39 altogether.

    Write down an equation in terms of \(c\).

    (b)

    Solve your equation to find the cost of one paint brush.

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    (a) \(3c = 39\)
    (b) \(\text{£}13\)
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  8. Either paper 2 marks

    The solution of the equation

    \(\frac{x}{ a } = 3\)

    is \(x = 27\).

    Calculate the value of \(a\).

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    \(9\)
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  9. Either paper 1 mark

    \(6x = 66\)

    Work out the value of \(x\).

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    \(11\)
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  10. Either paper 1 mark

    Solve \(x - 6 = 2\)

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    \(8\)
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discia.org Solving One Step Equations · sheet 1
Answers Solving One Step Equations · sheet 1
  1. \(6\)
  2. \(-8\)
  3. \(50\)
  4. \(-7\)
  5. \(14\)
  6. \(14.8\)
  7. (a) \(3c = 39\)
    (b) \(\text{£}13\)
  8. \(9\)
  9. \(11\)
  10. \(8\)
discia.org Solving One Step Equations · sheet 1