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| Review of Real Numbers | |
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| Integers, Opposites, and Absolute Values | |
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| Operations with Integers | |
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| Fractions | |
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| Operations with Fractions | |
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| Decimals and Percents | |
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| Basic Statistics | |
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| Exponents and Order of Operations | |
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| Introduction to Algebra | |
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| Linear Equations | |
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| Introduction to Linear Equations | |
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| Solving Linear Equations: A General Strategy | |
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| Problem Solving; Applications of Linear Equations | |
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| Applications Involving Percentages; Ration and Proportion | |
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| Linear Inequalities | |
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| Graphing Linear Equations | |
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| The Rectangular Coordinate System; Equations in Two Variables | |
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| Graphing Linear Equations and Their Intercepts | |
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| Slope of a Line | |
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| Linear Functions | |
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| Parallel and Perpendicular Lines | |
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| Equations of Lines | |
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| Linear Inequalities | |
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| Systems of Equations | |
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| Systems of Linear Equations; Solving Systems by Graphing | |
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| Solving Systems of Equations by Using the Substitution Method | |
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| Solving Systems of Equations by Using the Addition Method | |
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| Applications of Systems of Equations | |
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| Systems of Linear Inequalities | |
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| Exponents and Polynomials | |
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| Exponents | |
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| Negative Exponents; Scientific Notation | |
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| Polynomials; Addition and Subtraction of Polynomials | |
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| Multiplying Polynomials | |
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| Dividing of Polynomials | |
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| Factoring and Quadratic Equations | |
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| An Introduction to Factoring; the Greatest Common Factor; Factoring by Grouping | |
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| Factoring Trinomials of the Form x2 + bx + c | |
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| Factoring Trinomials of the Form ax2 + bx + c, where a �� 1 | |
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| Factoring Special Binomials | |
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| Factoring Polynomials: A General Strategy | |
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| Solving Quadratic Equations by Factoring | |
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| Quadratic Functions | |
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| Applications of Quadratic Equations and Quadratic Functions | |
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| Rational Expressions and Equations | |
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| Rational Expressions and Functions | |
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| Multiplication and Division of Rational Expressions | |
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| Addition and Subtraction of Rational Expressions That Have the Same Denominator | |
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| Addition and Subtraction of Rational Expressions That Have Different Denominators | |
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| Complex Fractions | |
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| Rational Equations | |
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| Applications of Rational Equations | |
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| A Transition | |
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| Linear Equations and Absolute Value Equations | |
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| Linear Inequalities and Absolute Value Inequalities | |
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| Graphing Linear Equations and Functions; Graphing Absolute Value Functions | |
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| Review of Factoring; Quadratic Equations and Rational Equations | |
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| Systems of Equations (Two Equations in Two Unknowns, Three Equations in Three Unknowns) | |
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| Radical Expressions and Equations | |
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| Square Roots; Radical Notation | |
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| Rational Exponents | |
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| Simplifying, Adding, and Subtracting Radical Expressions | |
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| Multiplying and Dividing Radical Expressions | |
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| Radical Equations and Applications of Radical Equations | |
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| The Complex Numbers | |
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| Quadratic Equations | |
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| Solving Quadratic Equations by Extracting Square Roots; Completing the Square | |
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| The Quadratic Formula | |
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| Equations That Are Quadratic in Form | |
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| Graphing Quadratic Equations | |
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| Applications Using Quadratic Equations | |
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| Quadratic and Rational Inequalities | |
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| Functions | |
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| Review of Functions | |
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| Linear Functions | |
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| Quadratic Functions | |
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| Other Functions and Their Graphs | |
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| The Algebra of Functions | |
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| Inverse Functions | |
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| Logarithmic and Exponential Functions | |
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| Exponential Functions | |
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| Logarithmic Functions | |
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| Properties of Logarithms | |
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| Exponential and Logarithmic Equations | |
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| Applications of Exponential and Logarithmic Functions | |
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| Graphing Exponential and Logarithmic Functions | |
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| Conic Sections | |
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| Parabolas | |
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| Circles | |
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| Ellipses | |
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| Hyperbolas | |
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| Nonlinear Systems of Equations | |
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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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| Appendices | |
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| Synthetic Division | |
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| Using Matrices to Solve Systems of Equations | |