Here is the item:
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.

You chose the correct form from the table below. Good job!

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

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