Introduction to Algebraic Expressions | |

Introduction to Algebra | |

The Commutative, Associative, and Distributive Laws | |

Fraction Notation | |

Positive and Negative Real Numbers | |

Subtraction of Real Numbers | |

Multiplication and Division of Real Numbers | |

Equations, Inequalities, and Problem Solving | |

Solving Equations | |

Using the Principles Together | |

Formulas | |

Applications with Percent | |

Problem Solving | |

Solving Inequalities | |

Solving Applications with Inequalities | |

Introduction to Graphing | |

Reading Graphs, Plotting Points, and Scaling Graphs | |

Graphing Linear Equations | |

Graphing and Intercepts | |

Rates | |

Slope | |

Slope-Intercept Form | |

Point-Slope Form | |

Polynomials | |

Exponents and Their Properties | |

Polynomials | |

Addition and Subtraction of Polynomials | |

Multiplication of Polynomials | |

Special Products | |

Polynomials in Several Variables | |

Division of Polynomials | |

Negative Exponents and Scientific Notation | |

Polynomials and Factoring | |

Introduction to Factoring | |

Factoring Trinomials of the Type x2 + bx + c | |

Factoring Trinomials of the Type ax2 + bx + c | |

Factoring Perfect-Square Trinomials and Differences of Squares | |

Factoring: A General Strategy | |

Solving Quadratic Equations by Factoring | |

Solving Applications | |

Rational Expressions and Equations | |

Rational Expressions | |

Multiplication and Division | |

Addition, Subtraction, and Least Common Denominators | |

Addition and Subtraction with Unlike Denominators | |

Complex Rational Expressions | |

Solving Rational Equations | |

Applications Using Rational Equations and Proportions | |

Systems and More Graphing | |

Systems of Equations and Graphing | |

Systems of Equations and Substitution | |

Systems of Equations and Elimination | |

More Applications Using Systems | |

Linear Inequalities in Two Variables | |

Systems of Linear Inequalities | |

Direct and Inverse Variation | |

Radical Expressions and Equations | |

Introduction to Square Roots and Radical Expressions | |

Multiplying and Simplifying Radical Expressions | |

Quotients Involving Square Roots | |

Radical Expressions with Several Terms | |

Radical Equations | |

Applications Using Right Triangles | |

Higher Roots and Rational Exponents | |

Quadratic Equations | |

Solving Quadratic Equations: The Principle of Square Roots | |

Solving Quadratic Equations: Completing the Square | |

The Quadratic Equation and Applications | |

Formulas | |

Complex Numbers as Solutions of Quadratic Equations | |

Graphs of Quadratic Equations | |

Functions | |

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