noun
hatchet, adz, mattock, tomahawk, battle-ax, poleax, pickax,
cleaver, broadax, hand ax, single-bitted ax, double-bitted
ax.
get the ax*
be fired, be dismissed, be discharged, be dropped
from the payroll, be let go, get the boot*, get the sack*.
have an ax to grind*
have an ulterior motive, have a hidden agenda, have one's own agenda, have one's own ends to promote.