AlgebraMediumEquation with a bracket and a subtraction
Algebra practice question
Three times the quantity 'one more than twice a number', minus twice the number, equals 27. What is the number?
Answer: 6
3(2n + 1) − 2n = 27, so 6n + 3 − 2n = 27, 4n = 24, n = 6.
Common wrong answers
- If you answered 3
- 3 comes from 8n = 24, adding 2n instead of subtracting.
- If you answered 24
- 24 is 4n, not n.
- If you answered 4.5
- 4.5 comes from 6n + 1 − 2n = 27 (not distributing the 3 to the 1).
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