The word distributive 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: 21
Highest Scoring Words With Friends™ Plays In The Letters
Seven Letter Word Alert: (36 words)
bedirts, bestrid, birdies, bitsier, bitters, bittier, bruised, bustier, butters, butties, dietist, dirties, disturb, ditsier, ditties, diverts, dustier, ebriids, iridise, revisit, revuist, rudites, stivier, strived, studier, subedit, subvert, tidbits, tidiers, tidiest, tribute, trivets, trusted, uveitis, virtues, visited