## Introductory Algebra for College Students (7th Edition)

The algebraic expression is: $$\frac{5}{x} - (x + 2)$$
To write an algebraic expression for the statement, we need to break it down into its component parts: "The quotient of $5$ and a number" means "$5 \div x$" or "$\frac{5}{x}.$ "Decreased by" means to subtract. "$2$ more than a number" means "$x + 2$." Let's put all the pieces together to come up with the algebraic expression: $$\frac{5}{x} - (x + 2)$$