The expression "the difference of 8 and nine times a number" can be translated into mathematical terms. Let's denote the unknown number as \( x \).
The phrase "nine times a number" translates to \( 9x \).
The phrase "the difference of 8 and nine times a number" means we need to subtract \( 9x \) from 8, which gives us the expression:
\[ 8 - 9x \]
So, the expression that represents "the difference of 8 and nine times a number" is \( 8 - 9x \).