If you don't go silent I am going to tell your mom.
Is that sentence correct?
No, "go silent" is wrong. So, say If you don't keep silent/keep quiet, I'm going to tell your mom. )
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No, "go silent" is wrong. So, say
If you don't keep silent/keep quiet, I'm going to tell your mom.
(Note: comma after introductory "if" clause.)