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What is the basic approach
Read the Question.
Identify the Question Type.
Read the Text(s).
Highlight What Can Help (and Annotate if Needed).
Use POE.
Two independent clauses can be joined with...
A semicolon, anytime ;
A comma plus an appropriate coordinating conjunction
(FANBOYS)
A colon, if the second part of the sentence explains the first in some way :
Two independent clauses can NEVER be joined with...
A comma without a coordinating conjunction
A coordinating conjunction without a comma
No punctuation to separate the independent clauses
An independent clause and a dependent clause (in either order) can be joined with...
A comma,
No punctuation at all
Generally, a comma is used when the dependent clause comes first and when there is a contrast. If the dependent clause comes second and doesn't contrast (such as clauses that begin with because or if), there usually isn't a comma.
An independent clause and a dependent clause (in either order) can NEVER be joined with...
A period.
A semicolon ;
A colon :
A coordinating conjunction (FANBOYS)
Where can a colon be replaced?
A colon can only come after an independent clause.
Extra Information Rules
Extra Information can come before or after the noun or pronoun it's describing.
Extra Information can be removed to leave behind a sentence with the same meaning, just a little less detail.
It's not needed for specifying which person or thing you're talking about.
Extra Information must always have commas, dashes, or parentheses both before and after the phrase.
If you're not sure whether the information is Extra or Specifying, try removing it from the sentence. If it is Extra, its removal will not affect your understanding of who or what the sentence is about.
"No Punctuation" Rules
Don't put punctuation where there is Specifying
Information.
Never put a single punctuation mark between a subject and a verb.
Don't put punctuation after a preposition.
Above all else, don't use punctuation unless you have a reason to do so.
When a quadratic is in the form ax² +bx+ c=0
The sum of the solutions equals - b/a
The product of the solutions equals c/a
EXPONENTIAL GROWTH OR DECAY FORMULAS
When the growth is a percent of the total population, use
final amount = original amount (1 + rate)^number of changes
When the growth is a multiple of the total population, use
final amount = original amount (multiplier)^number of changes
Argument words
Argument words
Agreements and Support
Agreements and Support
Rejections and Restrictions
Rejections and Restrictions
Conclusions and Judgments
Conclusions and Judgments
Writing Styles
Writing Styles
Influence and Effort
Influence and Effort
Inconsistency and Uncertainty
Inconsistency and Uncertainty
Praise and Positivity
Praise and Positivity
Descriptions and Degrees
Descriptions and Degrees
Descriptions and Degrees
Presence and Occurrence
Presence and Occurrence