How do you figure out this math question? EASY 10 PTS

There are 32 teams in a hockey tournament. A team is eliminated if it loses a game.
a) How many games must be played in the tournament until the winner is determined?
b) What if there are 64 teams?
c) What if there are 128 teams? Describe the pattern in these answers.
***PLEASE don't tell me the answer, just tell me how you figure it out.***

There are 32 teams and each team gets eliminated as soon as it loses a match.

if there were 2 teams, then number of matches = 1
if there were 3 teams, then number of matches =2
if there were 4 teams, then number of matches = 3
if there were 5 teams, then number of matches = 4
..
...

..
if there were N teams, number of matches = N-1

:) I hope you can carry it from here.

1 game = 2 teams, one winner and one loser

Assume the teams play in order (i.e. team 1 vs team 2, the winner of that vs team 3, winner of that vs 4, etc)

Suppose the first team is the winner. How many teams would they need to beat? How many games would that entail?

Note that the third team could be the winner, but that would assume that one game was played before the third team played its first game. Does the number of games change if the first team is not the winner? Inversely, how many teams would have to be losers? How many games would it take to designate those losers?