you can identify an expression by the number of the terms in the expression.
monomial = one term
binomial = two terms
and so on.
[tex]24x^{2}[/tex]y contains only one term, so it is a monomial.
9q + [tex] \frac{4q}{5p} [/tex] - [tex]3p^{2} [/tex] contains three terms, so it is a trinomial.