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The reason why you draw the dots (lone pairs) of electrons is because it gives a more clear representation since there are expections to the octet rule. However, in the case for Hydrogen atoms since there are only 2 electrons you won't see any dots, only the single covalent bond.
since we've been drawing all of the lone pairs in class and in hw, it's safe to say that yes, you will have to draw those for the exam. however, i remember some teachers using a line instead of dots to represent lone pairs, so if you want to find alternate ways to draw your lewis structures just talk to your TA to see what is considered correct for this class
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