A Review of Basic Algebra | |

The Real Number System | |

Arithmetic and Properties of Real Numbers | |

Exponents | |

Scientific Notation | |

Solving Linear Equations in One Variable | |

Using Linear Equations to Solve Application Problems | |

Projects | |

Chapter Review | |

Chapter 1 Test | |

Graphs, Equations of Lines, and Functions | |

Graphing Linear Equations | |

Slope of a Line | |

Writing Equations of Lines | |

Introduction to Functions | |

Graphs of Other Functions | |

Projects | |

Chapter Review | |

Chapter 2 Test | |

Cumulative Review Exercises | |

Systems of Linear Equations | |

Solving Systems of Two Linear Equations by Graphing | |

Solving Systems of Two Linear Equations by Elimination (Addition) | |

Solving Systems of Three Linear Equations in Three Variables | |

Solving Systems of Linear Equations Using Matrices | |

Solving Systems of Linear Equations Using Determinants | |

Projects | |

Chapter Review | |

Chapter 3 Test | |

Inequalities | |

Solving Linear Inequalities in One Variable | |

Solving Equations and Inequalities in One Variable Containing Absolute Values | |

Solving Linear Inequalities in One or Two Variables | |

Solving Systems of Quadratic Inequalities in Two Variables | |

Solving Systems Using Linear Programming | |

Projects | |

Chapter Review | |

Chapter 4 Test | |

Cumulative Review Exercises | |

Polynomials and Polynomial Functions | |

Polynomials and Polynomial Functions | |

Adding and Subtracting Polynomials | |

Multiplying Polynomials | |

The Greatest Common Factor and Factoring by Grouping | |

The Difference of Two Squares; the Sum and Difference of Two Cubes | |

Factoring Trinomials | |

Summary of Factoring Techniques | |

Solving Equations by Factoring | |

Projects | |

Chapter Review | |

Chapter 5 Test | |

Rational Expressions | |

Finding the Domain of Rational n and Simplifying Rational Expressions | |

Multiplying and Dividing Rational Expressions | |

Adding and Subtracting Rational Expressions | |

Simplifying Complex Fractions | |

Solving Equations Containing Rational Expressions | |

Dividing Polynomials | |

Synthetic Division | |

Proportion and Variation | |

Projects | |

Chapter Review | |

Chapter 6 Test | |

Cumulative Review Exercises | |

Radicals and Rational Exponents | |

Radical Expressions | |

Applications of the Pythagorean Theorem and the Distance Formula | |

Rational Exponents | |

Simplifying and Combining Radical Expressions | |

Multiplying and Dividing Radical Expressions | |

Radical Equations | |

Complex Numbers | |

Projects | |

Chapter Review | |

Chapter 7 Test | |

Quadratic Functions, Inequalities, and Algebra of Functions | |

Solving Quadratic Equations Using the Square Root Property and by Completing the Square | |

Solving Quadratic Equations by the Quadratic Formula | |

The Discriminant and Equations That Can Be Written in Quadratic Form. | |

Graphs of Quadratic Functions | |

Quadratic and Other Nonlinear Functions | |

Algebra and Composition of Functions | |

Inverses of Functions | |

Projects | |

Chapter Review | |

Chapter 8 Test | |

Cumulative Review Exercises | |

Exponential and Logarithmic Functions | |

Exponential Functions | |

Base-e Exponential Functions | |

Logarithmic Functions | |

Natural Logarithms | |

Properties of Logarithms | |

Exponential and Logarithmic Equations | |

Projects | |

Chapter Review | |

Chapter 9 Test | |

Conic Sections and More Graphing | |

The Circle and the Parabola | |

The Ellipse | |

The Hyperbola | |

Solving Systems Containing Second-Degree Equations | |

Piecewise-Defined Functions and the Greatest Inteher Function | |

Projects | |

Chapter Review | |

Chapter 10 Test | |

Cumulative Review Exercises | |

Miscellaneous Topics | |

The Binomial Theorem | |

Finding the nth Term of a Binomial Expansion | |

Arithmetic Sequences | |

Geometric Sequences | |

Infinite Geometric Sequences | |

Permutations and Combinations | |

Probability | |

Projects | |

Chapter Review | |

Chapter 11 Test | |

Cumulative Review Exercises | |

Glossary | |

Symmetries of Graphs | |

Sample Final Examination | |

Tables | |

Powers and Roots | |

Base-10 Logarithms | |

Base-e Logarithms | |

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Answers to Selected Exercises | |

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