When translating the phrase nine less than a number n into algebra, which expression is correct?
A9-n
Bn-9
Cn+9
D9/n
Answer & Solution
Correct answer: B. n-9
1. The phrase less than signals subtraction, and the amount named is subtracted from the other value.
2. The age example explains that a number of years less than your present age means that amount is subtracted from your present age.
3. Applying the same pattern, nine less than n means nine is subtracted from n, giving n minus 9.
4. Writing 9 minus n reverses the order and instead means n is subtracted from nine, which is the classic trap in less than phrasing.
_Source: OpenStax Prealgebra (CC BY 4.0), Ch 2 "The Language of Algebra", section 2.2 Evaluate, Simplify, and Translate Expressions_
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