Diagnostic Test | |

R. Prealgebra Review | |

Factoring and LCMs | |

Fractional Notation | |

Decimal Notation | |

Percent Notation | |

Exponential Notation and Order of Operations | |

Introduction to Real Numbers and Algebraic Expressions | |

Introduction to Algebra | |

The Real Numbers | |

Addition of Real Numbers | |

Subtraction of Real Numbers | |

Multiplication of Real Numbers | |

Division of Real Numbers | |

Properties of Real Numbers | |

Simplifying Expressions; Order of Operations | |

Solving Equations and Inequalities | |

Solving Equations: The Addition Principles | |

Solving Equations: The Multiplication Principle | |

Using the Principles Together | |

Applications and Problem Solving | |

Applications with Percents | |

Formulas | |

Solving Inequalities | |

Applications and Problem Solving with Inequalities | |

Graphs of Equations | |

Data Analysis | |

Graphs and Applications | |

Graphing Linear Equations | |

More on Graphing Linear Equations | |

Applications and Data Analysis with Graphs | |

Polynomials: Operations | |

Integers as Exponents | |

Exponents and Scientific Notation | |

Introduction to Polynomials | |

Addition and Subtraction of Polynomials | |

Multiplication of Polynomials | |

Special Products | |

Operations with Polynomials in Several Variables | |

Division of Polynomials | |

Polynomials: Factoring | |

Introduction to Factoring | |

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

Factoring ax2 + bx + c, a = 1, Using FOIL | |

Factoring ax + bx+ c, a = 1 Using Grouping | |

Factoring Trinomial Squares and Differences of Squares | |

Factoring : A General Strategy | |

Solving Quadratic Equations by Factoring | |

Applications and Problem Solving | |

Rational Expressions and Equations | |

Multiplying and Simplifying Rational Expressions | |

Division and Reciprocals | |

Least Common Multiples and Denominators | |

Adding Rational Expressions | |

Subtracting Rational Expressions | |

Solving Rational Equations | |

Applications, Proportions, and Problem Solving | |

Formulas and Applications | |

Complex Rational Expressions | |

Graphs, Slope, and Applications | |

Slope and Slope-Intercept Form | |

Equations of Lines | |

Parallel and Perpendicular Lines | |

Graphing Inequalities in Two Variables | |

Direct and Inverse Variation | |

Systems of Equations | |

Systems of Equations in Two Variables | |

The Substitution Method | |

The Elimination Method | |

Applications and Problem Solving | |

Applications with Motion | |

Radical Expressions and Equations | |

Introduction to Square Roots and Radical Expressions | |

Multiplying and Simplifying with Radical Expressions | |

Quotients Involving Square Roots | |

Addition, Subtraction, and More Multiplication | |

Radical Equations | |

Applications with Right Triangles | |

Quadratic Equations | |

Introduction to Quadratic Equations | |

Solving Quadratic Equations by Completing the Square | |

The Quadratic Formula | |

Formulas | |

Applications and Problem Solving | |

Graphs of Quadratic Equations | |

Functions | |

Final Examination | |

Appendixes | |

Factoring Sums or Differences of Cubes | |

Higher Roots | |

Sets | |

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