Review of the Real Number System | |

Basic Concepts | |

Operations on Real Numbers | |

Exponents, Roots, and Order of Operations | |

Properties of Real Numbers | |

Linear Equations, Inequalities, and Applications | |

Linear Equations in One Variable Formulas | |

Applications of Linear Equations | |

Further Applications of Linear Equations | |

Summary Exercises on Solving Applied Problems | |

Linear Inequalities in One Variable | |

Set Operations and Compound Inequalities | |

Absolute Value Equations and Inequalities | |

Summary Exercises on Solving Linear and Absolute Value Equations and Inequalities | |

Graphs, Linear Equations, and Functions | |

The Rectangular Coordinate System | |

The Slope of a Line | |

Linear Equations in Two Variables | |

Linear Inequalities in Two Variables to Functions Variation | |

Systems of Linear Equations of Linear Equations in Two Variables | |

Systems of Linear Equations in Three Variables Applications of Systems of Linear Equations | |

Solving Systems of Linear Equations by Matrix Methods | |

Determinants and Cramer's Rule | |

Exponents, Polynomials, and Polynomial Functions | |

Integer Exponents and Scientific Notation | |

Adding and Subtracting Polynomials | |

Polynomial Functions | |

Multiplying Polynomials | |

Dividing Polynomials | |

Factoring | |

Greatest Common Factors; Factoring by Grouping Factoring Trinomials | |

Special Factoring | |

A General Approach to Factoring | |

Solving Equations by Factoring | |

Rational Expressions and Functions | |

Rational Expressions and Functions; Multiplying and Dividing | |

Adding and Subtracting Rational Expressions | |

Complex Fractions | |

Equations with Rational Expressions and Graphs | |

Summary Exercises on Operations and Equations with Rational Expressions | |

Applications of Rational Expressions | |

Roots, Radicals, and Root Functions | |

Radical Expressions and Graphs | |

Rational Exponents | |

Simplifying Radical Expressions | |

Adding and Subtracting Radical Expressions | |

Multiplying and Dividing Radical Expressions | |

Summary Exercises on Operations with Radicals | |

Solving Equations with Radicals | |

Complex Numbers | |

Quadratic Equations and Inequalities | |

The Square Root Property and Completing the Square | |

The Quadratic Formula | |

Equations Quadratic in Form | |

Summary Exercises on Solving Quadratic Equations | |

Formulas and Further Applications | |

Quadratic and Rational Inequalities | |

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