Real Numbers and Their Properties | |

The Real Numbers | |

Fractions | |

Addition and Subtraction of Real Numbers | |

Multiplication and Division of Real Numbers | |

Exponential Expressions and the Order of Operations | |

Algebraic Expressions | |

Properties of the Real Numbers | |

Using the Properties to Simplify Expressions | |

Linear Equations and Inequalities in One Variable | |

The Addition and Multiplication Properties of Equality | |

Solving General Linear Equations | |

More Equations | |

Formulas | |

Translating Verbal Expressions into Algebraic Expressions | |

Number, Geometric, and Uniform Motion Applications | |

Discount, Investment, and Mixture Applications | |

Inequalities | |

Solving Inequalities and Applications | |

Linear Equations in Two Variables and Their Graphs | |

Graphing Lines in the Coordinate Plane | |

Slope | |

Equations of Lines in Slope-Intercept Form | |

The Point-Slope Form | |

Variation | |

Systems of Linear Equations and Inequalities | |

The Graphing Method | |

The Substitution Method | |

The Addition Method | |

Graphing Linear Inequalities in Two Variables | |

Graphing Systems of Linear Inequalities | |

Polynomials and Exponents | |

Addition and Subtraction of Polynomials | |

Multiplication of Polynomials | |

Multiplication of Binomials | |

Special Products | |

Division of Polynomials | |

Nonnegative Integral Exponents | |

Negative Exponents and Scientific Notation | |

Factoring | |

Factoring Out Common Factors | |

Factoring the Special Products and Factoring by Grouping | |

Factoring ax^2 + bx + c with a=1 | |

Factoring ax^2 + bx + c with a not equal to 1 | |

Factoring a Difference or Sum of Two Cubes | |

Solving Quadratic Equations by Factoring | |

Rational Expressions | |

Reducing Rational Expressions | |

Multiplication and Division | |

Finding the Least Common Denominator | |

Addition and Subtraction | |

Complex Fractions | |

Solving Equations with Rational Expressions | |

Applications of Ratios and Proportions | |

Applications of Rational Expressions | |

Powers and Roots | |

Roots, Radicals, and Rules | |

Simplifying Square Roots | |

Operations with Radicals | |

Solving Equations with Radicals and Exponents | |

Fractional Exponents | |

Quadratic Equations, Parabolas, and Functions | |

The Square Root Property and Factoring | |

Completing the Square | |

The Quadratic Formula | |

Applications of Quadratic Equations | |

Complex Numbers | |

Graphing Parabolas | |

Introduction to Functions | |

Combining Functions | |

Geometry Review | |

Table of Squares and Square Roots | |

Common Logarithms | |

Answers to Selected Exercises | |

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