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Things you should already know but may have forgotten.

Prepared by Joe Brinkley. Math Review. Things you should already know but may have forgotten. Symbolics vs. Numbers. We will be using variables and symbolic expressions to solve problems. Putting in numerical values is the last step taken when solving any expression.

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Things you should already know but may have forgotten.

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  1. Prepared by Joe Brinkley Math Review Things you should already know but may have forgotten.

  2. Symbolics vs. Numbers • We will be using variables and symbolic expressions to solve problems • Putting in numerical values is the last step taken when solving any expression • This is a more advanced way of solving problems and a natural progression from the “plug and chug” techniques you may have used in the past • If you insist on using numbers only, some problems become very difficult or even impossible to solve

  3. Fractions • Common Mistakes in fraction reduction This is already reduced as far as it can be!! • Getting common denominators • Adding whole numbers to fractions (it’s the Same)

  4. Factoring

  5. System of Equations • Given equations with more than 1 unknown. • Ex: • For more than 2 variables, you need one unique equations for each variable. • If these equations are not unique (i.e. same equation written a different way), you won’t have enough information to solve for the variables.

  6. Quadratic Equations • Defined as: • Methods • Factoring (Recognize the most obvious types) • (difference of squares) • (squared addition) • (squared subtraction) • Quadratic Formula (if it isn’t obvious, use this)

  7. Geometry • Pythagorean theorem • Law of cosines

  8. Geometry • Parallel lines cut by a transversal • Perpendiculars

  9. Trigonometry • Relationships for right triangles: hypotenuse opposite adjacent

  10. Trigonometry • Inverse functions • Common Identities

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