Based on ates, new words formed by adding one letter at the beginning or end:
b - aest c - baste d - beast e - betas f - tabes g - cates h - taces j - sated k - stade l - stead m - tsade n - tease o - feast p - feats r - gates s - stage t - haste u - heats v - tajes w - skate x - stake y - steak z - takes