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