36.6k views
2 votes
Which of the following best describes the expression 7x + 2y?

A. The sum of two products; there are two terms
B. The product of two sums; there are two terms
C. The sum of two products; there are four terms
D. The product of two sums; there are four terms

User Rob Cole
by
7.6k points

1 Answer

5 votes

Final answer:

The expression 7x + 2y is the sum of two products, consisting of two terms, which aligns with the commutative property of addition.

Step-by-step explanation:

The expression 7x + 2y represents a linear algebraic expression and it can be best described as the sum of two products. Here, 7x is the product of 7 and x, and 2y is the product of 2 and y. When these two products are added together, we get the expression 7x + 2y. This expression contains two terms.

Therefore, the correct answer to the question is: A. The sum of two products; there are two terms. This is further reinforced by the algebraic principle where the order of addition does not affect the sum, expressed as A+B=B+A. This is also known as the commutative property of addition.

User TheJBRU
by
7.8k points