Introduction to Algebraic Expressions Introduction to Algebra | |

The Commutative, Associative, and Distributive Laws | |

Fraction Notation | |

Positive and Negative Real Numbers | |

Addition of Real Numbers | |

Subtraction of Real Numbers | |

Multiplication and Division of Real Numbers Exponential Notation and Order of Operations | |

Connecting the Concepts | |

Equations, Inequalities, and Problem Solving Solving Equations | |

Using the Principles Together | |

Connecting the Concepts | |

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 | |

Connecting the Concepts | |

Point-Slope Form | |

Connecting the Concepts | |

Polynomials | |

Exponents and Their Properties Polynomials | |

Addition and Subtraction of Polynomials Connecting the Concepts | |

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 x 2 + bx + c Factoring Trinomials of the Type ax 2 + bx + c | |

Factoring Perfect-Square Trinomials and Differences of Squares | |

Factoring Sums or Differences of Cubes | |

Factoring: A General Strategy | |

Connecting the Concepts | |

Solving Quadratic Equations by Factoring | |

Connecting the Concepts | |

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 | |

Connecting the Concepts | |

Applications Using Rational Equations and Proportions Formulas and Equations | |

Functions and Graphs | |

Introduction to Functions | |

Domain and Range | |

Graphs of Functions (including brief review of graphing) | |

Connecting the Concepts | |

The Algebra of Functions | |

Variation and Problem Solving | |

Chapter 8 | |

Systems of Equations in Two Variables | |

Solving by Substitution or Elimination | |

Connecting the Concepts | |

Solving Applications: Systems of Two Equations Systems of Equations in Three Variables | |

Connecting the Concepts | |

Solving Applications: Systems of Three Equations | |

Elimination Using Matrices | |

Determinants and Cramerrsquo;s Rule | |

Business and Economics Applications | |

Inequalities and Problem Solving | |

Interval Notation and Problem Solving | |

Intersections, Unions, and Compound Inequalities | |

Absolute-Value Equations and Inequalities | |

Inequalities in Two Variables | |

Connecting the Concepts | |

Applications Using Linear Programming | |

Exponents and Radicals | |

Radical Expressions and Functions | |

Rational Numbers as Exponents | |

Multiplying Radical Expressions | |

Dividing Radical Expressions | |

Expressions Containing Several Radical Terms | |

Solving Radical Equations | |

Connecting the Concepts | |

Geometric Applications | |

The Complex Numbers | |

Quadratic Functions and Equations | |

Quadratic Eq | |

Table of Contents provided by Publisher. All Rights Reserved. |