What is a theory and how can it be helpful when solving a problem in geometry?
A theory is a statement that is widely believed to be true and is consistent for all similar phenomenas in math. Following the rules of theories will help you solve problems in geometry because there won't always be values to work with, but with certain theories, you can figure out values and come to a conclusive answer.
What are the basic order of operations and how are they applied in solving an equation?
PEMDAS: parenthesis, exponents, multiplication/division, addition/subtraction. When solving an equation, you follow the order of operations to find the correct answer. Start with values inside parenthesis, raise any values to their exponents, multiply/divide any values, add/subtract the remaining values that haven't been manipulated yet.
When solving an equation for the value of X, what would be the essential part of discovering the value(s) of X?
Isolating X, getting the variable alone so that you can manipulate the known values to equal the variable.