To help maximizes your Adam points from each match there are a few things you can do. You get points for general stuff like killing players of the opposite team and doing things to help yours like claiming the Big Daddy Suit.
Hacking Reward: Vending Machine 10pts (check the colour of the light on the machince is the yellow or your teams colour, if not run up to it and away quicker and wait for the trap bomb to go off)
Hacking Reward: Turrets 10pts
Research Photo Reward 10pts
ADAM Vial Reward 10pts (randomly scattered about the levels, picked up with no other value but to increase points)
Kill Reward 10pts
Assist Reward 5pts
Killing Streaks Reward 50pts (for killing three or more enemies without dying)
Big Daddy Suit Reward 50pts
Big Daddy Takedown Reward 100pts
Trials Complete Reward (varies from trial to trial)
The only advice I can say is to hack everything in sight, take research pictures as much as you can and use your plasmids to unlock your early trials. After that read the trial that become available and try and complete them you may even learn a few plasmid combos you weren't aware of before.