Chapters 2–6 are followed by Cumulative Review Exercises | |

Review of Real Numbers | |

Introduction to Real Numbers | |

Operations on Rational Numbers | |

Variable Expressions | |

Verbal Expressions and Variable Expressions | |

Focus on Problem Solving: Polya's Four-Step Process Projects and Group Activities: Water Displacement | |

First-Degree Equations and Inequalities | |

Solving First-Degree Equations | |

Applications: Puzzle Problems | |

Applications: Mixture and Uniform Motion Problems | |

First-Degree Inequalities | |

Absolute Value Equations and Inequalities | |

Focus on Problem Solving: Understand the Problem Projects and Group Activities: Electricity | |

Linear Functions and Inequalities in Two Variables | |

The Rectangular Coordinate System | |

Introduction to Functions | |

Linear Functions | |

Slope of a Straight Line | |

Finding Equations of Lines | |

Parallel and Perpendicular Lines | |

Inequalities in Two Variables | |

Focus on Problem Solving: Find a Pattern Projects and Group Activities: Evaluating a Function with a Graphing Calculator, Introduction to Graphing Calculators, Wind-Chill Index | |

Systems of Equations and Inequalities | |

Solving Systems of Linear Equations by Graphing and by the Substitution Method | |

Solving Systems of Linear Equations by the Addition Method | |

Solving Systems of Equations by Using Determinants | |

Application Problems | |

Solving Systems of Linear Inequalities | |

Focus on Problem Solving: Solve an Easier Problem Projects and Group Activities: Using a Graphing Calculator to Solve a System of Equations | |

Polynomials | |

Exponential Expressions | |

Introduction to Polynomial Functions | |

Multiplication of Polynomials | |

Division of Polynomials | |

Factoring Polynomials | |

Special Factoring | |

Solving Equations by Factoring | |

Focus on Problem Solving: Find a Counterexample Projects and Group Activities: Astronomical Distances and Scientific Notation | |

Rational Expressions | |

Multiplication and Division of Rational Expressions | |

Addition and Subtraction of Rational Expressions | |

Complex Fractions | |

Ratio and Proportion | |

Rational Equations | |

Variation | |

Focus on Problem Solving: Implication Projects and Group Activities: Graphing Variation Equations, Transformers | |

Exponents and Radicals | |

Rational Exponents and Radical Expressions | |

Operations on Radical Expressions | |

Solving Equations Containing Radical Expressions | |

Complex Numbers | |

Focus on Problem Solving: Another Look at Polya's Four-Step Process Projects and Group Activities: Solving Radical Equations with a Graphing Calculator, The Golden Rectangle | |

Quadratic Equations | |

Solving Quadratic Equations by Factoring or by Taking Square Roots | |

Solving Quadratic Equations by Completing the Square | |

Solving Quadratic Equations by Using the Quadratic Formula | |

Solving Equations that are Reducible to Quadratic Equations | |

Quadratic Inequalities and Rational Inequalities | |

Applications of Quadratic Equations | |

Focus on Problem Solving: Inductive and Deductive Reasoning Projects and Group Activities: Using a Graphing Calculator to Solve a Quadratic Equation | |

Functions and Relations | |

Properties of Quadratic Functions | |

Graphs of Functions | |

Algebra of Functions | |

One-to-One and Inverse Functions | |

Focus on Problem Solving: Proof in Mathematics Projects and Group Activities: Finding the Maximum or Minimum of a Function Using a Graphing Calculator, Business Applications of Maximum and Minimum Values of Quadratic Functions | |

Exponential and Logarithmic Functions | |

Exponential Functions | |

Introduction to Logarithms | |

Graphs of Logarithmic Functions | |

Solving Exponential and Logarithmic Equations | |

Applications of Exponential and Logarithmic Functions | |

Focus on Problem Solving: Proof by Contradiction Projects and Group Activities: Solving Exponential and Logarithmic Equations Using a Graphing Calculator, Credit Reports and FICOreg; Scores | |

Conic Sections | |

The Parabola | |

The Circle | |

The Ellipse and the Hyperbola | |

Solving Nonlinear Systems of Equations | |

Quadratic Inequalities and Systems of Inequalities | |

Focus on Problem Solving: Using a Variety of Problem-Solving Techniques Projects and Group Activities: The Eccentricity and Foci of an Ellipse, Graphing Conic Sections Using a Graphing Calculator | |

Sequences and Series | |

Introduction to Sequences and Series | |

Arithmetic Sequences and Series | |

Geometric Sequences and Series | |

Binomial Expansions | |

Focus on Problem Solving: Forming Negations Projects and Group Activities: ISBN and UPC Numbers | |

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