Basic Properties and Definitions | |

Fundamental Definitions and Notation | |

The Real Numbers | |

Properties of Real Numbers | |

Arithmetic with Real Numbers | |

Recognizing Patterns | |

Summary | |

Review/Test | |

Projects | |

Equations and Inequalities in one Variable | |

Linear Equations in One Variable | |

Formulas | |

Applications | |

Linear Inequalities in One Variable | |

Equations with Absolute Value | |

Inequalities Involving Absolute Value | |

Summary | |

Review/Test | |

Projects | |

Equations and Inequalities in two Variables | |

Paired Data and the Rectangular Coordinate System | |

The Slope of a Line | |

The Equation of a Line | |

Linear Inequalities in Two Variables | |

Introduction to Functions | |

Function Notation | |

Algebra and Composition with Functions | |

Variation | |

Summary | |

Review/Test | |

Projects | |

Systems of Linear Equations and Inequalities | |

Systems of Linear Equations in Two Variables | |

Systems of Linear Equations in Three Variables | |

Introduction to Determinants | |

Cramer's Rule | |

Applications | |

Systems of Linear Inequalities | |

Summary | |

Review/Test | |

Projects | |

Exponents and Polynomials | |

Properties of Exponents | |

Polynomials, Sums, and Differences | |

Multiplication of Polynomials | |

The Greatest Common Factor and Factoring by Grouping | |

Factoring Trinomials | |

Special Factoring | |

Factoring: A General Review | |

Solving Equations by Factoring | |

Summary | |

Review/Test | |

Projects | |

Rational Expressions and Rational Functions | |

Basic Properties and Reducing to Lower Terms | |

Division of Polynomials and Difference Quotients | |

Multiplication and Division of Rational Expressions | |

Addition and Subtraction of Rational Expressions | |

Complex Fractions | |

Equations Involving Rational Expressions | |

Applications | |

Summary | |

Review/Test | |

Projects | |

Rational Exponents and Roots | |

Rational Exponents | |

More Expressions Involving Rational Exponents | |

Simplified Form for Radicals | |

Addition and Subtraction of Radical Expressions | |

Multiplication and Division of Radical Expressions | |

Equations with Radicals | |

Complex Numbers | |

Summary | |

Review/Test | |

Projects | |

Quadratic Functions | |

Completing the Square | |

The Quadratic Formula | |

Additional Items Involving Solutions to Equations | |

Equations Quadratic in Form | |

Graphing Parabolas | |

Quadratic Inequalities | |

Summary | |

Review/Test | |

Projects | |

Exponential and Logarithmic Functions | |

Exponential Functions | |

The Inverse of a Function | |

Logarithms Are Exponents | |

Properties of Logarithms | |

Common Logarithms and Natural Logarithms | |

Exponential Equations and Change of Base | |

Summary | |

Review/Test | |

Projects | |

Conic Sections | |

The Circle | |

Ellipses and Hyperbolas | |

Second-Degree Inequalities and Nonlinear Systems | |

Summary | |

Review/Test | |

Projects | |

Sequence and Series | |

Sequences | |

Series | |

Arithmetic Sequences | |

Geometric Sequences | |

The Binomial Expansion | |

Summary | |

Review/Test | |

Projects | |

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