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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 | |