Which expression represents three times the sum of m and n?
Answer and explanation
Correct answer: 3(m + n)
The governing concept is translating words into algebraic notation while preserving the order of operations. “The sum of m and n” is represented by (m + n). “Three times” means multiply the entire sum by 3, giving 3(m + n). Therefore option C is correct. The brackets are important because they show that 3 multiplies both m and n; on expansion the expression becomes 3m + 3n. Option A multiplies only m, option B multiplies only n, and option D combines multiplication of m and n with addition of 3, which represents a different idea.
Frequently asked questions
What is the correct answer to this question?
3(m + n)
Why is this the correct answer?
The governing concept is translating words into algebraic notation while preserving the order of operations. “The sum of m and n” is represented by (m + n). “Three times” means multiply the entire sum by 3, giving 3(m + n). Therefore option C is correct. The brackets are important because they show that 3 multiplies both m and n; on expansion the expression becomes 3m + 3n. Option A multiplies only m, option B multiplies only n, and option D combines multiplication of m and n with addition of 3, which represents a different idea.
Which subject and chapter does this question cover?
This is a Class 9 Mathematics question. Chapter: Introduction to Polynomials. Topic: Algebraic expressions.
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