A lot 
Very much. 
Ex:  Gary ate a lot of chocolate cake last night after dinner.

Alot 
Alot is not a word and should not be used.  However, the word allot means to 
divide or distribute by share or portion; parcel out.
Ex:  Ashley decided to allot a portion of her spending to charitable causes. 
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A part 
A part is one piece.
Ex:  A part of that engine is missing.

Apart 
Not together. 
Ex:  The statue is falling apart from years of exposure to the elements. 
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Any one 
A single person or thing.
Ex:  Any one of the suspects could have planted the evidence. 
 
Note from dictionary.com:     Anyone as a pronoun meaning anybody or any person at 
all is written as one word: Does anyone have the correct time? The two-word phrase 
any one means any single member of a group of persons or things and is often 
followed by of: Can any one of the members type? Any one of these books is 
exciting reading.

Anyone 
Any person at all; anybody.
Ex:  Did anyone see what happened?
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Any time 
According to The Grammar Logs, use the two words to mean "any amount of time" or 
as the object of a preposition such as at.
Ex:  Do you have any time to help me with this client proposal?

Anytime 
An adverb meaning any time whatsoever.
Ex:  You can borrow my car anytime.

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All together 
As one; united in one place; in a group.
Ex:  The family gathered all together around the campfire.
 
Note from dictionary.com:     
The adverb altogether means wholly, entirely, completely: 
an altogether confused scene. The phrase all together means in a group:  The 
children were all together in the kitchen.
Altogether Entirely, wholly, completely.
Ex:  Shannon is altogether furious at her sister.

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All ready 
Entirely prepared.
Ex:  The car is packed and we are all ready to go.

Already 
By this or that time; previously; by now.
Ex:  Ed has already applied to college and been accepted. 

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Any way 
In any manner.
Ex:  Color the picture any way you’d like. 
 
Note from dictionary.com:     
If the words in the can be substituted for any, the two-word phrase is called for: 
Finish the job in the way you choose. If the substitution cannot be made, the 
spelling is anyway.

Anyway 
In any case; nonetheless; regardless.
Ex:  Despite being exhausted, Rebecca finished the race anyway.

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Maybe  
Perhaps; possibly.
 
Note: Maybe is an adverb or noun while may be is a verb.
Ex:  Maybe sheŐll come to the party with me. 

May be 
Is possible.
Ex:  It may be that she doesnŐt care for shrimp.

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Every day 
Of or pertaining to every day.
Ex:  I check in with my clients every day.

Everyday 
Commonplace; ordinary; the routine or ordinary day or occasion.
Ex:  I use the everyday dishes unless we have guests for dinner.