I need help figuring out how to phrase the reasons I picked the answers to the following sentences. I have the answer just can not figure out the best way to say why they are correct. Please help.

Question

Class is COM 150 week 9.
A)My brother knows more about technology than me.
b)My brother knows more about technology than I.
B is correct answer why?
A)Please send an invitation to Bob and she.
B)Please send an invitation to Bob and her.
B is correct answer why?
A)My best friend and I are going to Hawaii this summer.
B)My best friend and me are going to Hawaii this summer.
A is correct answer why?
A)Who was the star of last year’s award-winning movie?
B)Whom was the star of last year’s award-winning movie?
A is correct answer why?
A)To who should we send the letter of commendation?
B)To whom should we send the letter of commendation?
B is correct answer why?
A)Jon Bon Jovi, who is a well-known singer and actor, also owns an arena football team.
B)Jon Bon Jovi, whom is a well-known singer and actor, also owns an arena football team.
A is correct answer why?
A)When the car hit a tree, it made a terrible noise.
B)The car made a terrible noise as it crashed into a tree.
B is correct answer why?
A)Air pollution normally increases along with population growth. This increasing pollution is a big problem for many cities.
B)Air pollution normally increases along with population growth. This is a big problem for many cities.
A is correct answer why?

Answer 1

A)My brother knows more about technology than me.
b)My brother knows more about technology than I.
B is correct answer why?
The implied phrase is "than I do.

A)Please send an invitation to Bob and she.
B)Please send an invitation to Bob and her.
B is correct answer why?
"Bob and her" are objects of the preposition "to," so "her" needs to be in the objective case.

A)My best friend and I are going to Hawaii this summer.
B)My best friend and me are going to Hawaii this summer.
A is correct answer why?
"friend and I" are the subjects of the verb "are going." Therefore, "I" must be in the subjective case.
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How did you know that these are the correct answers? You must have an idea why they are correct. Please check your text materials to find the reasons for the rest of your answers. We'll be happy to check them if you post them.

Answer 2

In your first question, "than I do" is a clause, not a phrase.

Answer 3

Thank you, I can tell which sentence is written correctly, but trying to figure out the pronoun reason is a little confusing to me. I will research some more.

Answer 4

same here

Answer 5

Pardon my skepticism -- but as an old English teacher -- I suspect that you copied the answers but your source didn't have the reasons for these answers.

You're taking this course in order to learn English. Study your text to learn the reasons for these answers.