Solution

AEIMRTU = MURIATE
AEIMRTU +N = RUMINATE
AEIMRTU +D = MURIATED
AEIMRTU +S = MURIATES
AEIMRTU +S = SEMITAUR
AEIMRTU +P = APTERIUM
AEIMRTU +C = MURICATE
AEIMRTU +M = IMMATURE