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Preface | |
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Applications Index | |
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The Real Numbers | |
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Sets | |
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The Real Numbers | |
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Operations on the Set of Real Numbers | |
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Evaluating Expressions and the Order of Operations | |
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Properties of the Real Numbers | |
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Using the Properties | |
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Linear Equations and Inequalities in One Variable | |
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Linear Equations in One Variable | |
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Formulas and Functions | |
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Applications | |
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Inequalities | |
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Compound Inequalities | |
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Absolute Value Equations and Inequalities | |
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Linear Equations and Inequalities in Two Variables | |
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Graphing Lines in the Coordinate Plane | |
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Slope of a Line | |
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Three Forms for the Equation of a Line | |
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Linear Inequalities and Their Graphs | |
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Functions and Relations | |
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Systems of Linear Equations | |
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Solving Systems by Graphing and Substitution | |
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The Addition Method | |
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Systems of Linear Equations in Three Variables | |
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Solving Linear Systems Using Matrices | |
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Determinants and Cramer's Rule | |
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Linear Programming | |
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Exponents and Polynomials | |
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Integral Exponents and Scientific Notation | |
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The Power Rules | |
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Polynomials and Polynomial Functions | |
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Multiplying Binomials | |
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Factoring Polynomials | |
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Factoring ax + bx + c | |
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Factoring Strategy | |
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Solving Equations by Factoring | |
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Rational Expressions and Functions | |
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Properties of Rational Expressions and Functions | |
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Multiplication and Division | |
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Addition and Subtraction | |
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Complex Fractions | |
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Division of Polynomials | |
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Solving Equations Involving Rational Expressions | |
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Applications | |
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Radicals and Rational Exponents | |
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Radicals | |
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Rational Exponents | |
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Adding, Subtracting, and Multiplying Radicals | |
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Quotients, Powers, and Rationalizing Denominators | |
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Solving Equations with Radicals and Exponents | |
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Complex Numbers | |
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Quadratic Equations, Functions, and Inequalities | |
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Factoring and Completing the Square | |
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The Quadratic Formula | |
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More on Quadratic Equations | |
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Quadratic Functions and Their Graphs | |
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Quadratic Inequalities | |
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Additional Function Topics | |
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Graphs of Functions and Relations | |
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Transformations of Graphs | |
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Combining Functions | |
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Inverse Functions | |
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Variation | |
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Polynomial and Rational Functions | |
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The Factor Theorem | |
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Zeros of a Polynomial Function | |
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The Theory of Equations | |
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Graphs of Polynomial Functions | |
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Graphs of Rational Functions | |
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Exponential and Logarithmic Functions | |
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Exponential Functions and Their Applications | |
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Logarithmic Functions and Their Applications | |
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Properties of Logarithms | |
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Solving Equations and Applications | |
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Nonlinear Systems and the Conic Sections | |
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Nonlinear Systems of Equations | |
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The Parabola | |
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The Circle | |
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The Ellipse and Hyperbola | |
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Second-Degree Inequalities | |
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Sequences and Series | |
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Sequences | |
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Series | |
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Arithmetic Sequences and Series | |
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Geometric Sequences and Series | |
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Binomial Expansions | |
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Counting and Probability | |
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Counting and Permutations | |
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Combinations | |
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Probability | |
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Answers to Selected Exercises | |
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Index | |