How do I know it’s “that type”? How do I identify that it goes in that category? What does it “look like” when it’s this type of equation?

For each of the types of equations listed below, you need to include a verbal description (not a mathematical example) of three things:

WHEN do I use this?
How do I know it’s “that type”? How do I identify that it goes in that category? What does it “look like” when it’s this type of equation?
HOW do I use this?
How do I solve it? Describe this in words, without a mathematical example.
Are there any special considerations? For example, do I have to check my solutions? If there is more than one method of solving, how do I choose?
Any number of examples that helps illustrate what you just described. Choose your example(s) with consideration and purpose.
Types of Equations

Linear
Absolute value
Quadratic
Quadratic in form
Higher power polynomials
Radical
Rational
Containing rational exponents
Format

You can organize this information in any logical format that works for you. You can make an organized list or outline, a table, a mind map, a set of flashcards, etc.