ANSWER
44 words
EXPLANATION
Let 'x' be the number of words in the list. We know that half the list is 22 words:
[tex]\frac{1}{2}x=22[/tex]To find x we just have to multiply both sides of the equation by 2:
[tex]\begin{gathered} \frac{1}{2}\cdot2x=22\cdot2 \\ x=44 \end{gathered}[/tex]There are 44 words on the list.