The format of the show is in the group of 16 people, there are 8 "perfect matches". So the contestants need to try to determine who in the rest of the group is their "perfect match" and there is only one winning combination that is determined by "matchmakers" (i.e. MTV producers).
At the beam ceremony, the contestants get a chance at guessing who their "perfect match" is and if everyone guesses correctly, they get the cash prize. Of course, that is insanely difficult to do so they get 10 chances to guess and MTV will tell them in each round how many couples are correct (but not who those couples are). So in this episode they got 2/8 couples correct.
The truth booth is where the house can send in one couple and MTV will tell them with 100% clarity if that couple is a perfect match or not. This can be critical information as the season goes on.
So overall, the show is one big math equation but these people are not rocket scientists and are usually very sloppy. So the logic portion (or as the contestants say "strategy") generally does not play a huge part in the show (you can leave that to nerds like myself and Danny 😉 ).
ETA - I forgot to mention that if you are interested in the math, the Are You The One? Math blog does a good job breaking it down by episode and can usually predict the "perfect matches" by the 7th or 8th episode.