To express the total number of songs on Iris's playlist after \( w \) weeks, we start with the initial number of songs she has, which is 120. Each week, she downloads 4 new songs. Therefore, after \( w \) weeks, she will have added \( 4w \) new songs to her playlist.
The expression that represents the total number of songs on her playlist after \( w \) weeks is:
\[ 120 + 4w \]