Math CLEP Prep College Mathematics and Math CLEP Prep College Algebra show you how to solve problems similar to those in the CLEP official study guide. They contain explanations as well as some review of topics covered by the tests.

But what if you need more review?

There’s lots of math review available for free on the Web. This page contains links to pages that address the specific topic areas covered on the CLEP College Algebra test. This page contains an awful lot of stuff, but it’s set up to help you find just what you need.

It’s all at PurpleMath.com, an algebra site on which I rely because it’s accurate and its explanations are great. In the coming months I’ll be looking for more: something for College Mathematics as well as something in a different format – maybe videos. I’d love to hear your suggestions. Reach out to me at jill@jillhacker.com

Algebraic operations (25%)

• operations with exponents
  • basic exponent rules
  • simplifying exponent expressions 
• factoring and expanding polynomials
  • factoring
    • simple factoring
    • factoring quadratics 
    • more on factoring quadratics 
    • factoring quadratics: examples 
  • expanding
    • FOIL
    • binomial theorem (There is another link to this page in the section on number systems and operations.)
• operations with algebraic expressions
  • addition
  • multiplication
  • division
• absolute value
  • basics
  • graphing
  • graphing absolute values and quadratics
• properties of logarithms
  • basics
  • properties

Equations and inequalities (25%)

• linear equations and inequalities
  • equations
    • graphing linear equations
  • inequalities
    • solving
    • graphing
• quadratic equations and inequalities
  • equations
    • solving by factoring
    • solving with the quadratic formula
    • solving by taking square roots
  • inequalities
    • solving
    • more on solving
    • examples
    • more examples
• absolute value equations and inequalities
  • solving simple equations
  • solving harder equations
  • more on solving equations
  • inequalities
  • graphing functions
• systems of equations and inequalities
  • equations:
    • linear
      • definitions
      • graphing
      • more graphing
      • solving by substitution
      • solving by addition/elimination
      • examples
    • non-linear
      • definitions
      • graphing
      • solving
      • solving: more examples
      • solving: even more examples
  • inequalities
• exponential and logarithmic equations
  • exponential
  • logarithmic
    • solving from the definition
    • solving with exponents
    • calculator considerations and examples

Functions and their properties (30%)

• definition, interpretation, and representation/modeling (graphical, numerical, symbolic, and verbal)
  • function definition
  • function notation
• domain and range
• evaluation of functions
  • here and here
• algebra of functions
  • arithmetic operations on functions
  • composition
• graphs and their properties (including intercepts, symmetry, and transformations):
  • overview
  • intercepts
  • symmetry  See also this page about even and odd functions.
  • transformations. See also the pages that follow.
• inverse functions

Number systems and operations (20%): 

• real numbers and complex numbers
• complex numbers
• sequences and series
  • terminology and notation
  • examples

• factorials and binomial theorem
  • factorials
  • binomial theorem (There is another link to this page in the section on algebraic operations.)

Get the books.