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Prerequisites and Review | |
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Real Numbers | |
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Exponents and Radicals | |
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Polynomials: Basic Operations | |
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Factoring Polynomials | |
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Rational Expressions | |
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Equations | |
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Complex Numbers | |
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Oops! | |
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Tying It All Together | |
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Review | |
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Review Exercises | |
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Practice Test | |
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Equations and Inequalities | |
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Linear Equations | |
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Applications Involving Linear Equations | |
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Quadratic Equations | |
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Radical Equations; Equations Quadratic in Form | |
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Linear Inequalities | |
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Polynomial and Rational Inequalities | |
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Absolute Value in Equations and Inequalities | |
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Oops! | |
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Tying It All Together | |
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Review | |
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Review Exercises | |
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Practice Test | |
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Graphs | |
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Basic Tools: Cartesian Plane, Distance, and Midpoint | |
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Graphing Equations: Point Plotting and Symmetry | |
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Straight Lines | |
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Circles | |
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Oops! | |
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Tying It All Together | |
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Review | |
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Review Exercises | |
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Practice Test | |
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Functions and Their Graphs | |
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Functions | |
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Graphs of Functions: Common Functions and Piecewise-Defined Functions | |
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Graphing Techniques: Transformations | |
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Operations on Functions and Composition of Functions | |
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One-to-One Functions and Inverse Functions | |
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Oops! | |
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Tying It All Together | |
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Review | |
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Review Exercises | |
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Practice Test | |
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Polynomial and Rational Functions | |
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Quadratic Functions | |
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Polynomial Functions of Higher Degree | |
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Dividing Polynomials: Long Division and Synthetic Division | |
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Properties and Tests of Zeros of Polynomial Functions | |
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Rational Functions | |
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Oops! | |
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Tying It All Together | |
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Review | |
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Review Exercises | |
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Practice Test | |
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Exponential and Logarithmic Functions | |
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Exponential Functions and Their Graphs | |
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Exponential Functions with Base e | |
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Logarithmic Functions and Their Graphs | |
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Properties of Logarithms | |
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Exponential and Logarithmic Equations | |
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Oops! | |
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Tying It All Together | |
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Review | |
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Review Exercises | |
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Practice Test | |
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Systems of Equations and Inequalities | |
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Systems of Linear Equations in Two Variables | |
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Systems of Multivariable Linear Equations | |
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Partial Fractions | |
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Systems of Nonlinear Equations | |
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Systems of Inequalities | |
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Linear Programming | |
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Oops! | |
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Tying It All Together | |
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Review | |
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Review Exercises | |
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Practice Test | |
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Matrices | |
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Matrices and Systems of Linear Equations | |
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Systems of Linear Equations: Augmented Matrices | |
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Systems of Linear Equations: Determinants | |
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Matrix Algebra | |
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Oops! | |
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Tying It All Together | |
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Review | |
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Review Exercises | |
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Practice Test | |
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Conics | |
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Conic Basics | |
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The Parabola | |
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The Ellipse | |
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The Hyperbola | |
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Oops! | |
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Tying It All Together | |
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Review | |
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Review Exercises | |
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Practice Test | |
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Sequences, Series, and Probability | |
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Sequences and Series | |
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Arithmetic Sequences and Series | |
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Geometric Sequences and Series | |
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Mathematical Induction | |
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The Binomial Theorem | |
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Counting, Permutations, and Combinations | |
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Probability | |
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Oops! | |
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Tying It All Together | |
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Review | |
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Review Exercises | |
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Practice Test | |
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Answers to Odd Numbered Exercises | |
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Applications Index | |
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Subject Index | |