The Basics | |

Notation and Symbols | |

Real Numbers | |

Addition of Real Numbers | |

Subtraction of Real Numbers | |

Properties of Real Numbers | |

Multiplication of Real Numbers | |

Division of Real Numbers | |

Subsets of Real Numbers | |

Addition and Subtraction with Fractions | |

Summary | |

Review/Test | |

Projects | |

Linear Equations and Inequalities | |

Simplifying Expressions | |

Addition Property of Equality | |

Multiplication Property of Equality | |

Solving Linear Equations | |

Formulas | |

Applications | |

More Applications | |

Linear Inequalities | |

Summary | |

Review/Test | |

Projects | |

Linear Equations and Inequalities in two Variables | |

Paired Data and Graphing Ordered Pairs | |

Solutions to Linear Equations in Two Variables | |

Graphing Linear Equations in Two Variables | |

More on Graphing: Intercepts | |

Slope and the Equation of a Line | |

Solving Linear Systems by Graphing | |

The Elimination Method | |

The Substitution Method | |

Applications | |

Summary | |

Review/Test | |

Projects | |

Exponents and Polynomials | |

Multiplication with Exponents | |

Division with Exponents | |

Operations with Monomials | |

Addition and Subtraction of Polynomials | |

Multiplication with Polynomials | |

Binomial Squares and Other Special Products | |

Dividing a Polynomial by a Monomial | |

Dividing a Polynomial by a Polynomial | |

Summary | |

Review/Test | |

Projects | |

Factoring | |

The Greatest Common Factor and Factoring by Grouping | |

Factoring Trinomials | |

More Trinomials to Factor | |

The Difference of Two Squares | |

The Sum and Difference of Two Squares | |

Factoring: A General Review | |

Solving Equations by Factoring | |

Applications | |

Summary | |

Review/Test | |

Projects | |

Rational Expressions | |

Reducing Rational Expressions to Lowest Terms | |

Multiplication and Division of Rational Expressions | |

Addition and Subtraction of Rational Expressions | |

Equations Involving Rational Expressions | |

Applications | |

Complex Fractions | |

Proportions | |

Summary | |

Review/Test | |

Projects | |

Transitions | |

Review of Solving Equations | |

Equations with Absolute Value | |

Compound Inequalities and Interval Notation | |

Inequalities Involving Absolute Value | |

Review of Systems of Equations in Two Variables | |

Systems of Equations in Three Variables | |

Systems of Linear Inequalities | |

Summary | |

Review/Test | |

Projects | |

Equations and Functions | |

The Slope of a Line | |

The Equation of a Line | |

Introduction to Functions | |

Function Notation | |

Algebra and Composition with Functions | |

Variation | |

Summary | |

Review/Test | |

Projects | |

Rational Exponents and Roots | |

Rational Exponents | |

More Expressions Involving Rational Exponents | |

Simplified Form for Radicals | |

Addition and Subtraction of Radical Expressions | |

Multiplication and Division of Radical Expressions | |

Equations with Radicals | |

Complex Numbers | |

Summary | |

Review/Test | |

Projects | |

Quadratic Functions | |

Completing the Square | |

The Quadratic Formula | |

Additional Items Involving Solutions to Equations | |

Equations Quadratic in Form | |

Graphing Parabolas | |

Quadratic Inequalities | |

Summary | |

Review/Test | |

Projects | |

Exponential and Logarithmic Functions | |

Exponential Functions | |

The Inverse of a Function | |

Logarithms are Exponents | |

Properties of Logarithms | |

Common Logarithms and Natural Logarithms | |

Exponential Equations and Change of Base | |

Summary | |

Review/Test | |

Projects | |

Conic Sections | |

The Circle | |

Ellipses and Hyperbolas | |

Second-Degree Inequalities and Nonlinear Systems | |

Summary | |

Review/Test | |

Projects | |

Sequences and Series | |

Sequences | |

Series | |

Arithmetic Sequences | |

Geometric Sequences | |

The Binomial Expansion | |

Summary | |

Review/Test | |

Projects | |

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