Real Numbers and Their Properties | |

The Real Numbers | |

Fractions | |

Addition and Subtraction of Real Numbers | |

Multiplication and Division of Real Numbers | |

Exponential Expressions and the Order of Operations | |

Algebraic Expressions | |

Properties of the Real Numbers | |

Using the Properties to Simplify Expressions | |

Linear Equations and Inequalities in One Variable | |

The Addition and Multiplication Properties of Equality | |

Solving General Linear Equations | |

More Equations | |

Formulas | |

Translating Verbal Expressions into Algebraic Expressions | |

Number, Geometric, and Uniform Motion Applications | |

Discount, Investment, and Mixture Applications | |

Inequalities | |

Solving Inequalities and Applications | |

Linear Equations and Inequalities in Two Variables | |

Graphing Lines in the Coordinate Plane | |

Slope | |

Equations of Lines in Slope-Intercept Form | |

The Point-Slope Form | |

Variation | |

Graphing Linear Inequalities in Two Variables | |

Polynomials and Exponents | |

Addition and Subtraction of Polynomials | |

Multiplication of Polynomials | |

Multiplication of Binomials | |

Special Products | |

Division of Polynomials | |

Nonnegative Integral Exponents | |

Negative Exponents and Scientific Notation | |

Factoring | |

Factoring Out Common Factors | |

Factoring the Special Products and Factoring by Grouping | |

Factoring ax2 + bx + c with a =1 | |

Factoring ax2 + bx + c with a ¿ 1 | |

Factoring a Difference or Sum of Two Cubes | |

Solving Quadratic Equations by Factoring | |

Rational Expressions | |

Reducing Rational Expressions | |

Multiplication and Division | |

Finding the Least Common Denominator | |

Addition and Subtraction | |

Complex Fractions | |

Solving Equations with Rational Expressions | |

Applications of Ratios and Proportions | |

Applications of Rational Expressions | |

Systems of Linear Equations | |

Solving Systems by Graphing and Substitution | |

The Addition Method | |

Systems of Linear Equations in Three Variables | |

Solving Linear Systems Using Matrices | |

Determinants and Cramer's Rule | |

More on Inequalities | |

Compound Inequalities in One Variable | |

Absolute Value Equations and Inequalities | |

Compound Inequalities in Two Variables | |

Linear Programming | |

Radicals and Rational Exponents | |

Radicals | |

Rational Exponents | |

Operations with Radicals | |

Quotients, Powers, and Rationalizing Denominators | |

Solving Equations with Radicals and Exponents | |

Complex Numbers | |

Quadratic Equations and Inequalities | |

Factoring and Completing the Square | |

The Quadratic Formula | |

Graphing Parabolas | |

More on Quadratic Equations | |

Quadratic and Rational Inequalities | |

Functions | |

Functions and Relations | |

Graphs of Functions and Relations | |

Transformations of Graphs | |

Graphs of Polynomial Functions | |

Graphs of Rational Functions | |

Combining Functions | |

Inverse Functions | |

Exponential and Logarithmic Functions | |

Exponential Functions and Their Applications | |

Logarithmic Functions and Their Applications | |

Properties of Logarithms | |

Solving Equations and Applications | |

Nonlinear Systems and the Conic Sections | |

Nonlinear Systems of Equations | |

The Parabola | |

The Circle | |

The Ellipse and Hyperbola | |

Second-Degree Inequalities | |

Sequences and Series | |

Sequences | |

Series | |

Arithmetic Sequences and Series | |

Geometric Sequences and Series | |

Binomial Expansions | |

Diagnostic Test | |

Chapters 1-6 Review | |

Sets | |

Geometry Review Exercises | |

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