The Real Numbers | |

Sets | |

The Real Numbers | |

Operations on the Set of Real Numbers | |

Evaluating Expressions | |

Properties of the Real Numbers | |

Using the Properties | |

Linear Equations and Inequalities in One Variable | |

Linear Equations in One Variable | |

Formulas | |

Applications | |

Inequalities | |

Compound Inequalities | |

Absolute Value Equations and Inequalities | |

Linear Equations and Inequalities in Two Variables | |

Graphing Lines in the Coordinate Plane | |

Slope of a Line | |

Three Forms for the Equation of a Line | |

Linear Inequalities and Their Graphs | |

Functions and Relations | |

Systems of Linear Equations | |

Solving Systems by Graphing and Substitution | |

The Addition Method | |

Systems of Linear Equations in Three Variables | |

Solving Linear Systems Using Matrices | |

Determinants and Cramer's Rule | |

Linear Programming | |

Exponents and Polynomials | |

Integral Exponents and Scientific Notation | |

The Power Rules | |

Polynomials and Polynomial Functions | |

Multiplying Binomials | |

Factoring Polynomials | |

Factoring ax^2 + bx + c | |

Factoring Strategy | |

Solving Equations by Factoring | |

Rational Expressions and Functions | |

Properties of Rational Expressions and Functions | |

Multiplication and Division | |

Addition and Subtraction | |

Complex Fractions | |

Division of Polynomials | |

Solving Equations Involving Rational Expressions | |

Applications | |

Radicals and Rational Exponents | |

Radicals | |

Rational Exponents | |

Operations with Radicals | |

Quotients, Powers, and Rationalizing Denominators | |

Solving Equations with Radicals and Exponents | |

Complex Numbers | |

Quadratic Equations, Functions, and Inequalities | |

Factoring and Completing the Square | |

The Quadratic Formula | |

Quadratic Functions and Their Graphs | |

More on Quadratic Equations | |

Quadratic and Rational Inequalities | |

Additional Function Topics | |

Graphs of Functions and Relations | |

Transformations of Graphs | |

Combining Functions | |

Inverse Functions | |

Variation Chapter | |

Polynomial and Rational Functions | |

The Factor Theorem | |

Zeros of a Polynomial Function | |

The Theory of Equations | |

Graphs of Polynomial Functions | |

Graphs of Rational Functions | |

Exponential and Logarithmic Functions | |

Exponential Functions and Their Applications | |

Logarithmic Functions and Their Applications | |

Properties of Logarithms | |

Solving Equations and Applications | |

Nonlinear Systems and the Conic Sections | |

Nonlinear Systems of Equations | |

The Parabola | |

The Circle | |

The Ellipse and Hyperbola | |

Second-Degree Inequalities | |

Sequences and Series | |

Sequences | |

Series | |

Arithmetic Sequences and Series | |

Geometric Sequences and Series | |

Binomial Expansions | |

Counting and Probability | |

Counting and Permutations | |

Combinations | |

Probability | |

Geometry Review Exercises | |

Sets | |

Final Exam Review | |

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