How should the phrase five times the sum of m and n be translated into algebra?
A5m+n
Bm+n+5
C5(m+n)
Dm(n+5)
Answer & Solution
Correct answer: C. 5(m+n)
1. The word sum signals addition, so the sum of m and n becomes m plus n.
2. The word times signals multiplication, and it applies to the whole sum, so parentheses are needed around m plus n.
3. Putting the pieces together gives 5 times the quantity (m plus n).
4. Writing 5m plus n instead multiplies only the m, which is the phrase for the sum of five times m and n, a different quantity.
_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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