To model the problem with an equation, we need to find the total number of ceramic animals made by all the party guests.
Given that there are 18 party guests and each guest painted 9 small ceramic animals, we can express the total number of ceramic animals (\(c\)) with the following equation:
\[ c = 18 \times 9 \]
Now, let's solve this equation:
\[ c = 18 \times 9 = 162 \]
Thus, the total number of ceramic animals the party guests made in all is 162.