Take a look at the sentence again:
Kevin __________ the dripping barbecue sandwich on his plate and grabbed
a fork and knife. He ignored the stares of the other restaurant patrons
and ate his sandwich with utensils.
Kevin put the sandwich on the plate. Thus, you need a form of lay. Since the sentence is past tense, you need the simple past form. Consult the table below or review the rules.
Notice that layed, the form you chose, does not appear on the table; layed is a spelling error.
Infinitive | Definition | Simple Present | Simple Past | Past Participle | Present Participle |
to lay | to put something down | lay(s) | laid | laid | laying |
to lie | to rest or recline | lie(s) | lay | lain | lying |