Algebraic and Problem Solving | |

Some Basics of Algebra | |

Operations and Properties of Real Numbers | |

Solving Equations | |

Introduction to Problem Solving | |

Formulas, Models, and Geometry | |

Properties of Exponents | |

Scientific Notation | |

Graphs, Functions, and Linear | |

Equations | |

Graphs | |

Functions | |

Linear Functions: Slope, Graphs, and Models | |

Another Look at Linear Graphs | |

Other Equations of Lines | |

The Algebra of Functions | |

Introduction to Graphing | |

Systems of Equations in Two Variables | |

Solving by Substitution or Elimination | |

Solving Applications: Systems of Two Equations | |

Systems of Equations in Three Variables | |

Solving Applications: Systems of Three Variables | |

Elimination Using Matrices | |

Determinants and Cramer's Rule | |

Business and Economics Applications | |

Inequalities and Problem Solving | |

Inequalities and Applications | |

Intersections, Unions, and Compound Inequalities | |

Absolute-Value Equations and Inequalities | |

Inequalities in Two Variables | |

Applications Using Linear Programming | |

Polynomials and Polynomial Functions | |

Introduction to Polynomials and Polynomial Functions | |

Multiplication of Polynomials | |

Common Factors and Factoring by Grouping | |

Factoring Trinomials | |

Factoring Perfect-Square Trinomials and Differences of Squares | |

Factoring Sums or Differences of Cubes | |

Factoring: A General Strategy | |

Applications of Polynomial Equations | |

Rational Expressions, Equations, and Functions | |

Rational Expressions and Functions: Multiplying and Dividing | |

Rational Expressions and Functions: Adding and Subtracting | |

Complex Rational Expressions | |

Rational Equations | |

Solving Applications Using Rational Equations | |

Division of Polynomials | |

Synthetic Division | |

Formulas, Applications, and Variation | |

Exponents and Radicals | |

Radical Expressions and Functions | |

Rational Numbers as Exponents | |

Multiplying Radical Expressions | |

Dividing Radical Expressions | |

Expressions Containing Several Radical Terms | |

Solving Radical Equations | |

The Distance and Midpoint Formulas and Other Applications | |

The Complex Numbers | |

Quadratic Functions and Equations | |

Quadratic Equations | |

The Quadratic Formula | |

Studying Solutions of Quadratic Equations | |

Applications Involving Quadratic Equations | |

Equations Reducible to Quadratic | |

Quadratic Functions and Their Graphs | |

More About Graphing Quadratic Functions | |

Problem Solving and Quadratic Functions | |

Polynomial and Rational Inequalities | |

Exponential and Logarithmic Functions | |

Composite and Inverse Functions | |

Exponential Functions | |

Logarithmic Functions | |

Properties of Logarithmic Functions | |

Common and Natural Logarithms | |

Solving Exponential and Logarithmic Functions | |

Applications of Exponential and Logarithmic Functions | |

Conic Sections | |

Conic Sections: Parabolas and Circles | |

Conic Sections: Ellipses | |

Conic Sections: Hyperbolas | |

Nonlinear Systems of Equations | |

Sequences, Series, and the Binomial Theorem | |

Sequences and Series | |

Arithmetic Sequences and Series | |

Geometric Sequences and Series | |

The Binomial Theorem | |

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