Fundamentals of Algebra | |

The Real Number System | |

Operations with Real Numbers | |

Properties of Real Numbers | |

Algebraic Expressions | |

Constructing Algebraic Expressions | |

Linear Equations and Inequalities | |

Linear Equations | |

Linear Equations and Problem Solving | |

Business and Scientific Problems | |

Linear Inequalities | |

Absolute Value Equations and Inequalities | |

Graphs and Functions | |

The Rectangular Coordinate System | |

Graphs of Equations | |

Slope and Graphs of Linear Equations | |

Equation of Lines | |

Graphs of Linear Inequalities | |

Relations and Functions | |

Graphs of Functions | |

Systems of Equations and Inequalities | |

Systems of Equations | |

Linear Systems in Two Variables | |

Linear Systems in Three Variables | |

Matrices and Linear Systems | |

Determinants and Linear Systems | |

Systems of Linear Inequalities | |

Polynomials and Factoring | |

Integer Exponents and Scientific Notation | |

Adding and Subtracting Polynomials | |

Multiplying Polynomials | |

Factoring by Grouping and Special Forms | |

Factoring Trinomials | |

Solving Polynomial Equations by Factoring | |

Rational Expressions, Equations, and Functions | |

Rational Expressions and Functions | |

Multiplying and Dividing Rational Expressions | |

Adding and Subtracting Rational Expressions | |

Complex Fractions | |

Dividing Polynomials and Synthetic Division | |

Solving Rational Equations | |

Applications and Variation | |

Radicals and Complex Numbers | |

Radicals and Rational Exponents | |

Simplifying Radical Expressions | |

Adding and Subtracting Radical Expressions | |

Multiplying and Dividing Radical Expressions | |

Radical Equations and Applications | |

Complex Numbers | |

Quadratic Equations, Function, and Inequalities | |

Solving Quadratic Equations: Factoring and Special Forms | |

Completing the Square | |

The Quadratic Formula | |

Graphs of Quadratic Functions | |

Applications of Quadratic Equations | |

Quadratic and Rational Inequalities | |

Exponential and Logarithmic Functions | |

Exponential Functions | |

Composite and Inverse Functions | |

Logarithmic Functions | |

Properties of Logarithms | |

Solving Exponential and Logarithmic Equations | |

Applications | |

Conics | |

Circles and Parabolas | |

Ellipses | |

Hyperbolas | |

Solving Nonlinear Systems of Equations | |

Sequences, Series, and the Binomial Theorem | |

Sequences and Series | |

Arithmetic Sequences | |

Geometric Sequences and Series | |

The Binomial Theorem | |

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