1. Literally, to gain or achieve a point or unit of points in a game or contest against some person or team. A noun or pronoun can be used between "score" and "against" to specify the kind or amount of points that was scored. The star quarterback scored five touchdowns against the cross-town rivals. If we score against them one more time, we can tie the game!

2. To gain or achieve a personal success or victory against someone else. A noun or pronoun can be used between "score" and "against" to specify or describe the kind of success or victory one achieved. I don't know why you think you need to score against your wife with these petty arguments—you're not competing against each other! Even though it didn't amount to much money, I at least felt like I scored a moral victory against the company when they agreed to refund me the full amount.