AlgebraHardUnwinding a chain of operations
Algebra practice question
A number is doubled, 7 is subtracted from the result, and that result is divided by 3 to give 5. What is the number?
Answer: 11
(2n − 7)/3 = 5 gives 2n − 7 = 15, so n = 11.
Common wrong answers
- If you answered 4
- 4 comes from 2n − 7 = 15/3, dividing the wrong side.
- If you answered 8
- 8 comes from 2n = 15 + 7 − 6, an arithmetic slip.
- If you answered 22
- 22 is 2n, the doubled number.
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