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| Real Numbers and Expressions | |
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| Sets and the Structure of Algebra | |
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| Operations with Real Numbers; Properties of Real Numbers | |
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| Exponents, Roots, and Order of Operations | |
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| Evaluating and Rewriting Expressions | |
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| Linear Equations and Inequalities in One Variable | |
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| Linear Equations and Formulas | |
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| Solving Problems | |
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| Solving Linear Inequalities | |
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| Compound Inequalities | |
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| Equations Involving Absolute Value | |
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| Inequalities Involving Absolute Value | |
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| Equations and Inequalities in Two Variables; Functions | |
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| Graphing Linear Equations | |
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| The Slope of a Line | |
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| The Equation of a Line | |
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| Graphing Linear Inequalities | |
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| Introduction to Functions and Function | |
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| Notation | |
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| Systems of Linear Equations and Inequalities | |
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| Solving Systems of Linear Equations in Two Variables | |
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| Solving Systems of Linear Equations in Three Variables | |
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| Solving Applications Using Systems of Equations | |
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| Solving Systems of Linear Equations Using Matrices | |
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| Solving Systems of Linear Equations Using Cramer's Rule | |
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| Solving Systems of Linear Inequalities | |
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| Exponents, Polynomials, and Polynomial Functions | |
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| Exponents and Scientific Notation | |
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| Polynomials and Polynomial Functions | |
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| Multiplying Polynomials | |
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| Dividing Polynomials | |
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| Synthetic Division and the Remainder Theorem | |
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| Factoring | |
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| Greatest Common Factor and Factoring by Grouping | |
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| Factoring Trinomials | |
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| Factoring Special Products and Factoring | |
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| Strategies | |
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| Solving Equations by Factoring | |
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| Rational Expressions and Equations | |
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| Simplifying, Multiplying, and Dividing Rational Expressions | |
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| Adding and Subtracting Rational Expressions | |
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| Simplifying Complex Rational Expressions | |
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| Solving Equations Containing Rational Expressions | |
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| Applications with Rational Expressions; Variation | |
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| Rational Exponents, Radicals, and Complex Numbers | |
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| Radical Expressions and Functions | |
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| Rational Exponents | |
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| Multiplying, Dividing, and Simplifying Radicals | |
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| Adding, Subtracting, and Multiplying Radical Expressions | |
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| Rationalizing Numerators and Denominators of Radical Expressions | |
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| Radical Equations and Problem Solving | |
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| Complex Numbers | |
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| Quadratic Equations and Functions | |
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| Completing the Square | |
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| Solving Quadratic Equations Using the Quadratic Formula | |
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| Solving Equations That Are Quadratic in Form | |
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| Graphing Quadratic Functions | |
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| Solving Nonlinear Inequalities | |
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| Exponential and Logarithmic Functions | |
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| Composite and Inverse Functions | |
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| Exponential Functions | |
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| Logarithmic Functions | |
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| Properties of Logarithms | |
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| Common and Natural Logarithms | |
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| Exponential and Logarithmic Equations with Applications | |
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| Conic Sections | |
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| Parabolas and the Circles | |
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| Ellipses and Hyperbolas | |
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| Nonlinear Systems of Equations | |
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| Nonlinear Inequalities and Systems of Inequalities | |
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| Appendices | |
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| Arithmetic Sequences and Series | |
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| Geometric Sequences and Series | |
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| The Binomial Theorem | |
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| Permutations and Combinations (available online via MyMathLab) | |
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| Probability (available online via MyMathLab) | |