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Real Numbers and Algebraic Expressions | |
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Tips for Success in Mathematics | |
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Algebraic Expressions and Sets of Numbers | |
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Operations on Real Numbers | |
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Properties of Real Numbers | |
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Equations, Inequalities, and Problem Solving | |
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Linear Equations in One Variable | |
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An Introduction to Problem Solving | |
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Formulas and Problem Solving | |
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Linear Inequalities and Problem Solving | |
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Compound Inequalities | |
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Absolute Value Equations | |
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Absolute Value Inequalities | |
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Graphs and Functions | |
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Graphing Equations | |
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Introduction to Functions | |
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Graphing Linear Functions | |
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The Slope of a Line | |
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Equations of Lines | |
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Graphing Linear Inequalities | |
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Systems of Equations | |
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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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Systems of Linear Equations and Problem Solving | |
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Solving Systems of Equations by Matrices | |
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Solving Systems of Equations by Determinants | |
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Exponents, Polynomials, and Polynomial Functions | |
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Exponents and Scientific Notation | |
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More Work with Exponents and Scientific Notation | |
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Polynomials and Polynomial Functions | |
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Multiplying Polynomials | |
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The Greatest Common Factor and Factoring by Grouping | |
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Factoring Trinomials | |
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Factoring by Special Products and Factoring Strategies | |
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Solving Equations by Factoring and Problem Solving | |
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An Introduction to Graphing Polynomial Functions | |
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6 | |
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Rational Functions and Multiplying and Dividing Rational Expressions | |
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Adding and Subtracting Rational Expressions | |
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Simplifying Complex Fractions | |
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Dividing Polynomials | |
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Synthetic Division and the Remainder Theorem | |
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Solving Equations Containing Rational Expressions | |
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Rational Expressions and Problem Solving | |
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Variation and Problem Solving | |
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Rational Exponents, Radicals, and Complex Numbers | |
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Radicals and Radical Functions | |
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Rational Exponents | |
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Simplifying Radical Expressions | |
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Adding, Subtracting, and Multiplying Radical Expressions | |
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Rationalizing Denominators and Numerators 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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Solving Quadratic Equations by Completing the Square | |
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Solving Quadratic Equations by the Quadratic Formula | |
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Solving Equations by Using Quadratic Methods | |
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Nonlinear Inequalities in One Variable | |
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Quadratic Functions and Their Graphs | |
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Further Graphing of Quadratic Functions | |
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Conic Sections | |
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The Parabola and the Circle | |
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The Ellipse and the Hyperbola | |
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Solving Nonlinear Systems of Equations | |
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Nonlinear Inequalities and Systems of Inequalities | |
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Exponential and Logarithmic Functions | |
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The Algebra of Functions; Composite Functions | |
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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 Logarithms, Natural Logarithms, and Changes of Base | |
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Exponential and Logarithmic Equations and Applications | |
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Sequences, Series, and the Binomial Theorem | |
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Sequences | |
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Arithmetic and Geometric Sequences | |
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Series | |
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Partial Sums of Arithmetic and Geometric Sequences | |
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The Binomial Theorem | |
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Appendices | |
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Review of Angles, Lines, and Special Triangles | |
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Review of Geometric Figures | |
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Review of Volume and Surface Area | |
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Introduction to Using a Graphing Utility | |