There are numerous synonyms for the phrase "gave someone the ax". Some of these synonyms include "fired", "let go", "dismissed", "terminated", "axed", "sacked", "laid off", "released", "separated", "dropped", "eliminated", "redundant", "ousted", "expelled", and "booted out". All of these phrases indicate that an individual has been dismissed from their position, whether it be due to poor performance, lack of qualifications, or budget cuts. The use of these synonyms can help to add variety and depth to language, while also conveying a more precise meaning.