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One-Step Equations

Quiz · Maths · Y7 Equations · Year 7
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Work through the levels in order. Type your answer and press Check — open the worked solution if you get stuck. Answers like -6, 3/4 or 0.25 are typed exactly as shown.

Progress: 0 / 9 correct
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Level 1 · Warm-up

1 Solve x + 5 = 11. Type the number only.
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Subtract 5: x = 6. Check: 6 + 5 = 11.
2 Solve y − 2 = 8. Type the number only.
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Add 2: y = 10.
3 Solve 3a = 15. Type the number only.
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Divide by 3: a = 5.

Level 2 · Core

4 Solve n ÷ 5 = 7. Type the number only.
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Multiply by 5: n = 35. Check: 35 ÷ 5 = 7.
5 Solve p − 14 = 6. Type the number only.
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Add 14: p = 20.
6 Solve 7t = 84. Type the number only.
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Divide by 7: t = 12. Check: 7 × 12 = 84.

Level 3 · Challenge

7 Solve 4x = 30. Type the answer, which may be a decimal.
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Divide by 4: x = 7.5. Check: 4 × 7.5 = 30.
8 A student solves x − 9 = 4 and writes x = −5. What is the correct answer? Type the number only.
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They subtracted instead of adding. Add 9 to both sides: x = 13.
9 I think of a number, divide it by 3, and get 12. What was the number? Type the number only.
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n ÷ 3 = 12, so multiply both sides by 3: n = 36.