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The correct preposition after "impressed" is "with" when talking about being impressed by the quality or standard of something. We say "impressed with" the quality, program, or performance. While "impressed by" and "impressed at" exist in different contexts, this sentence specifically requires "with" for grammatical correctness.

In sentences starting with 'one of', the verb must be singular to agree with 'one', not with the plural noun that follows. 'One of my friends has passed' uses the singular auxiliary verb 'has' correctly. The present perfect tense ('has passed') indicates an action completed at an unspecified time before now.

'Still' is used to emphasize that a situation continues to exist at the present time, often contrary to expectations. 'She still can't swim' suggests that despite being sixteen (an age by which most people learn to swim), she continues to lack this ability. 'Still' is placed before the modal 'can't' in this sentence structure.

'Below' indicates a position at a lower level or layer than something else. When describing a house in relation to a hill, 'below' is the most appropriate preposition if the house is situated at a lower elevation than the hill. 'On' would suggest the house is on the hill's surface, 'under' implies complete coverage, and 'above' would mean the house is higher than the hill.

This is a comparative sentence using the 'the...the' construction (double comparative). 'The more you get, the more you spend' expresses a proportional relationship where one quantity increases as another does. The structure requires 'the + comparative' in both clauses. Alternative options break this required pattern and are grammatically incorrect.

Averting means to keep from happening or to prevent something from happening.

Attain means to reach, achieve, or accomplish a goal.

Here, banned means to refuse to allow (someone) to do something.

Here, backed means to give support to someone's decision.

When police are uncertain or confused about someone's identity, they are 'baffled' - meaning completely puzzled or unable to understand. The other words don't fit: battled (fought), backfired (had opposite effect), badgered (pestered), beaten (defeated).

Assuring refers to inform or tell positively.

Backfire means to have an opposite and undesirable effect to what was intended.

To 'balance' means to weigh or compare competing factors. She's weighing the high salary (pro) against working long hours (con). Other options don't fit: belittled (diminished), bid (offered), beckoned (signaled), blew (ruined).

To 'beckon' means to signal someone to approach, typically with a hand gesture. They beckoned him into the room. Other options don't fit context: belittled (criticized), balanced (weighed), bid (ordered/invited formally), blew (expelled air).

To 'belittle' means to make someone feel small or unimportant. Arrogant behavior often involves belittling others. Other options don't fit: balanced (weighed), bid (offered), beckoned (signaled), blew (ruined).