Question

Which of the following best describes the expression 3x + 2y + 8z?

The product of three sums; there are three terms
The sum of three products; there are three terms
The product of three sums; there are six terms
The sum of three products: there are six terms

Answer 1

You have 3 variables, x y and z.
Each of these variables comes in different amounts - so there are 3x 2y and 8z. Those variables could be anything.

So the 3x is a product of 3 multiplied by x, 2y is a product of 2 multiplied by y and 8z is the product of 8 multiplied by z
So this equation means that it is the sum of three products (3x, 2y and 8z) and there are 3 terms. Each of 3x, 2y and 8z is considered a term.

Answer 2

B. The sum of three products; there are three terms.

Explanation:

We have been given an expression
`3x+2y+8z`. We are asked to choose the sentence which best describes our given expression.

We can see that our given expression has three variables and each of them is multiplied by a number. Therefore, there are three terms is our given expression.

We can see that each term is product of a number and variable and all terms are being added, therefore, our expression represents the sum of three products and option B .