# How do you write an algebraic expression that models the word phrase "the quotient of the difference between 5 and a number n,and 2"?

Apr 4, 2016

$\frac{5 - n}{2}$

#### Explanation:

To do this we need to break down the sentence one piece at a time. The first part tells us there is a quotient, which we know is the result of a division. What we need to know is what is being divided? We are looking for "the quotient of __ and __", and from the question we see:

$\textcolor{red}{\text{the quotient of " color(black)"(the difference between 5 and a number n)}} \textcolor{red}{\mathmr{and}} 2$

So the two things that are being divided are (the difference between 5 and a number n) and 2. The difference between $5$ and a number $n$ can be written:

$5 - n$

then we form the quotient

$\frac{5 - n}{2}$