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Basics of Algebra and Graphing | |
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Some Basics of Algebra | |
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Operations with Real Numbers | |
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Equivalent Algebraic Expressions | |
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Exponential and Scientific Notation | |
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Graphs | |
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Mathematical Models | |
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Functions, Linear Equations and, Models | |
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Functions | |
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Solving Linear Equations | |
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Applications and Formulas | |
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Linear Functions: Graphs and Models | |
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Another Look at Linear Graphs | |
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Introduction to Curve Fitting: Point-Slope Form and Linear Regression | |
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The Algebra of Functions | |
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Systems of Equations and Problem Solving | |
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Systems of Equations in Two Variables | |
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Solving by Substitution or Elimination | |
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Applications and Models Using Systems of Two Equations | |
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Systems of Equations in Three Variables | |
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Applications Using Systems of Three Equations | |
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Elimination Using Matrices | |
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Business and Economics Applications | |
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Cumulative Review: Chapters 1-3 | |
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Inequalities and Problem Solving | |
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Inequalities and Applications | |
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Intersections, Unions, and Compound Inequalities | |
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Absolute-Value Equations and Inequalities | |
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Inequalities in Two Variables | |
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Polynomials and Polynomial Functions | |
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Introduction to Polynomials and Polynomial Functions | |
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Multiplication of Polynomials | |
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Polynomial Equations and Factoring | |
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Equations Containing Trinomials of the Type x2+ bx + c | |
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Equations containing Trinomials of the Type ax2+ bx + c | |
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Equations Containing Perfect-Square Trinomials and Differences of Squares | |
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Applications of Polynomial Equations | |
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Rational Expressions, Equations, and Functions | |
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Rational Expressions and Functions: Multiplying and Dividing | |
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Rational Expressions and Functions: Adding and Subtracting | |
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Complex Rational Expressions | |
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Rational Equations | |
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Applications and Models Using Rational Functions | |
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Division of Polynomials | |
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Formulas and Models | |
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Cumulative Review: Chapters 1-6 | |
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Exponents and Radical Functions | |
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Radical Expressions, Functions, and Models | |
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Rational Numbers as Exponents | |
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Multiplying, Adding, and Subtracting Radical Expressions | |
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Multiplying, Dividing, and Simplifying Radical Expressions | |
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More with Multiplication and Division | |
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Solving Radical Equations | |
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Geometric Applications | |
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The Complex Number | |
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Quadratic Functions and Equations | |
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Quadratic Equations | |
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The Quadratic Formula | |
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Applications Involving Quadratic Equations | |
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More on Quadratic Equations | |
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Variation and Problem Solving | |
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Quadratic Functions and Their Graphs | |
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More About Graphing Quadratic Equations | |
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Applications and Models Involving Quadratic Functions | |
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Polynomial and Rational Inequalities | |
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Exponential and Logarithmic Functions | |
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Exponential Functions | |
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Composite and Inverse Functions | |
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Logarithmic Functions | |
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Properties of Logarithmic Functions | |
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Natural Logarithms and Changing Bases | |
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Solving Exponential and Logarithmic Equations | |
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Applications and Models Using Exponential and Logarithmic Functions | |
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Cumulative Review: Chapters 1-9 | |
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Sequences, Series, and the Binomial Theorem | |
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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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The Binomial Theorem | |
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Cumulative Review: Chapters 1-10 | |
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Answers | |
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Index | |
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Index of Applications | |