Question

what is the algebraic expression represents the phrase “the quotient of negative eight and the sum of a number and three”?

Answer 1

You set it up like this.

So quotient means that you're dividing, so put a ÷
Next, it says the dividend, or the part being divided is -8, so now you have this: -8 ÷
Lastly, it says the divisor, or the part doing the dividing, is a quantity equal to the sum of "some number" (we'll use x) and 3. Since the divisor is one quantity collectively, you have to put it in parentheses.
This gives you: (x + 3)
When you put it all together, you get -8 ÷ (x + 3).
This can also be written as a fraction by putting -8 over (x+3).

Answer 2

The algebraic expression represents the phrase “The quotient of negative eight and the sum of a number and three” as –8 / (x + 3).

What is Algebra?

Algebra is the study of graphic formulas, while logic is the interpretation among those signs.

The algebraic expression represents the phrase is given below.

“The quotient of negative eight and the sum of a number and three”

Let x be the number.

Then the sum of a number and three. Then the expression will be

⇒ x + 3

Then the quotient of negative eight and the sum of a number and three. Then the expression will be given as,

⇒ –8 / (x + 3)

Thus, the quotient of negative eight and the sum of a number and three will be –8 / (x + 3).

More about the Algebra link is given below.

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