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One-step equations

Solve equations that require a single inverse operation.

Worked examples

Solving an addition equation

Straightforward

Problem

Solve x+7=15x + 7 = 15.

Solving a division equation with a negative

Moderate

Problem

Solve x−3=4\dfrac{x}{-3} = 4.

Solving an equation with a fractional coefficient

Challenging

Problem

Solve 35x=6\dfrac{3}{5}x = 6.

Practise

Q1·Straightforward
Solve x+5=12x + 5 = 12.
Q2·Straightforward
Solve x+3=−2x + 3 = -2.
Q3·Straightforward
Solve 4x=284x = 28.
Q4·Straightforward
Solve 3x=−153x = -15.
Q5·Moderate
Solve x−7=−3x - 7 = -3.
Q6·Moderate
Solve x−4=−9x - 4 = -9.
Q7·Moderate
Solve x5=−3\dfrac{x}{5} = -3.
Q8·Moderate
Solve x−4=6\dfrac{x}{-4} = 6.
Q9·Challenging
Solve 3x=53x = 5. Give your answer as a fraction.
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Q10·Challenging
Solve 35x=6\dfrac{3}{5}x = 6.
Q11·Challenging
Solve x+14=34x + \dfrac{1}{4} = \dfrac{3}{4}. Give your answer as a fraction.
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Q12·Challenging
Solve −14=7x-14 = 7x.