Question

Which statement about 2(x+4) is true. Possible answers: :2(x+4) is a quotient :2(x+4)is a product of three factors :2(x+4)has 4 terms. :2(x+4) is a product.

Answer 1

Option 4.. It's a product

Explanation:

Our task is to select the right statement about 2(x + 4).

What does the expression tell us? We multiply 2 times x + 4. So, it must be a product.

Let's take a look at the remaining three options. We should always double check the other answer. Perhaps we'll find another one that will be just what we've been looking for.

Option 1.

Is 2(x + 4) a quotient? Well, isn't the quotient the result of dividing two numbers? Clearly, here, we are multiplying. So this can't be it.

Option 2.

Is it a product of three factors? No, we're only multiplying 2 and x + 4. These are 2 factors, not 3.

Option 3.

Does 2(x + 4) have 4 terms? No. Even if we expand the expression, we will only end up with two terms, but not four.

Option 4.

Is 2(x + 4) a product? Well, yes, since two factors (a number and an expression) are multiplied.

Answer 2

2(x+4) is a product.

Explanation:

A product is the result of multiplying two or more numbers or expressions together.

In this case, we are multiplying the number 2 by the expression x+4. Therefore, 2(x+4) is a product.

The other statements are not true.

• 2(x+4) is not a quotient, because it does not have a division symbol.
• 2(x+4) is not a product of three factors, because there are only two factors: 2 and x+4.
• 2(x+4) does not have 4 terms. A term is a single number, variable, or expression that is multiplied together with other terms to form an expression. I
  n this case, 2(x+4) is a single term.

Therefore, the only true statement about 2(x+4) is 2(x+4) is a product.

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