The word sociometries is playable in Words With Friends™, no blanks required. Because it is longer than 7 letters, you would have to play off an existing word or do it in several moves.
Words With Friends™ Letter Score: 18
Highest Scoring Words With Friends™ Plays In The Letters sociometries
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Seven Letter Word Alert: (56 words)
cerises, coesite, cooties, corsets, cosiest, coterie, cresset, emetics, emoters, erotics, erotise, escorts, isomere, isomers, itemise, meioses, meiosis, meiotic, mercies, messier, meteors, metrics, metrise, miscite, missort, misters, mistier, mitoses, mitosis, moister, mortise, mossier, oecists, osmotic, recites, reemits, remotes, resects, restems, retimes, rosiest, scooter, secrets, sectors, seismic, sitcoms, smiters, soirees, somites, somitic, sootier, sorties, stereos, stimies, stomies, stories