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Translate into algebra: five times the sum of m and n.
A5(m + n)
B5m + n
Cm + n + 5
D5m + 5n
Answer & Solution
Correct answer: A. 5(m + n)
1. The word sum tells us to add m and n together first.
2. Parentheses are placed around that sum, m + n, so it is treated as one quantity.
3. The word times then tells us to multiply the whole sum by 5, giving 5 times the quantity m plus n.
4. Writing 5m + n instead would multiply only m by 5 and leave n unmultiplied, which changes the meaning.
_Source: OpenStax Elementary Algebra (CC BY 4.0), Ch 1 "Foundations", section 1.2 Use the Language of Algebra_
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