Question

Which algebraic expression represents the phrase "the quotient of negative eight and the sum of a number and three"?

Answer 1

The algebraic expression represents the phrase "the quotient of negative eight and the sum of a number and three" is $\frac{-8}{n+3}$ or $-8 \div n+3$

Solution:

Given statement is "the quotient of negative eight and the sum of a number and three"

To write the algebraic expression, follow these steps:

Let "n" be the number

The expression "negative eight" is equivalent to -8

Now look at the statement "the sum of a number and three"

"The sum of a number and three" is equivalent to n + 3

Now put all the statements together:

Quotient means you are dividing. So use division

"The quotient of negative eight and the sum of a number and three" = $\frac{-8}{n+3}$ or $-8 \div n+3$