Yes, week is in the scrabble dictionary

...and is worth 11 points by itself.

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Week Definition

noun

A period of seven days: a week of rain.
from The American Heritage Dictionary of the English Language, 4th Edition
A seven-day calendar period, especially one starting with Sunday and continuing through Saturday: this week.
from The American Heritage Dictionary of the English Language, 4th Edition
A week dedicated to a particular cause or institution: Home Safety Week.
from The American Heritage Dictionary of the English Language, 4th Edition
A week designated by an event or holiday occurring within it: commencement week.
from The American Heritage Dictionary of the English Language, 4th Edition
One week ago from a specified day: It was Friday week that we last met.
from The American Heritage Dictionary of the English Language, 4th Edition

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Top Words by points

Points

week

11

2 letter words with WEEK

Points

ew

5

we

5

3 letter words with WEEK

Points

eek

7

eew

6

eke

7

ewe

6

wee

6

4 letter words with WEEK

Points

week

11

Found 8 words in 0.12282 seconds