Answer: See below. The correct answers with the correct usage of apostrophes are in bold, FYI.
Explanation:
Myrons' job took him to cities all over the country. = Myron's job took him to cities all over the country.
The bus drivers' expression was startling = The bus driver's expression was startling
The childrens' toys were strewn all over the living room. = The children's toys were strewn all over the living room.
Part of my problem with the class is that the instructors delivery is too fast for me to understand him. = Part of my problem with the class is that the instructor's delivery is too fast for me to understand him.
Could'nt you ask for just a little more time to complete the exam? = Couldn't you ask for just a little more time to complete the exam?
Is your's the coat with the large wooden buttons? = Is yours the coat with the large wooden buttons?
Hopefully, this helps you! If not, let me know and I'll elaborate. :D