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Review of Real Numbers | |
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Symbols and Sets of Numbers | |
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Fractions | |
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Exponents and Order of Operations | |
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Introduction to Variable Expressions and Equations | |
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Adding Real Numbers | |
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Subtracting Real Numbers | |
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Multiplying and Dividing Real Numbers | |
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Properties of Real Numbers | |
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Reading Graphs | |
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Equation, Inequalities, and Problem Solving | |
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Simplifying Algebraic Expressions | |
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The Addition Property of Equality | |
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The Multiplication Property of Equality | |
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Solving Linear Equations | |
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An Introduction to Problem Solving | |
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Formulas and Problem Solving | |
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Percent and Problem Solving | |
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Further Problem Solving | |
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Solving Linear Inequalities | |
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Graphing | |
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The Rectangular Coordinate System | |
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Graphing Linear Equations | |
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Intercepts | |
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Slope | |
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Graphing Linear Inequalities | |
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Exponents and Polynomials | |
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Exponents | |
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Adding and Subtracting Polynomials | |
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Multiplying Polynomials | |
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Special Products | |
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Negative Exponents and Scientific Notation | |
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Division of Polynomials | |
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Factoring Polynomials | |
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The Greatest Common Factor and 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 | |
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Factoring Binomials | |
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Choosing a Factoring Strategy | |
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Solving Quadratic Equations by Factoring | |
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Quadratic Equations and Problem Solving | |
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Rational Expressions | |
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Simplifying Rational Expressions | |
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Multiplying and Dividing Rational Expressions | |
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Adding and Subtracting Rational Expressions with Common Denominators and Least Common Denominators | |
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Adding and Subtracting Rational Expressions with Unlike Denominators | |
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Simplifying Complex Fractions | |
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Solving Equations Containing Rational Expressions | |
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Ratio and Proportion | |
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Rational Equations and Problem Solving | |
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Further Graphing | |
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The Slope-Intercept Form | |
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The Point-Slope Form | |
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Graphing Nonlinear Equations | |
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An Introduction to Functions | |
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Solving Systems of Linear Equations | |
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Solving Systems of Linear Equations by Graphing | |
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Solving Systems of Linear Equations by Substitution | |
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Solving Systems of Linear Equations by Addition | |
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Systems of Linear Equations and Problem Solving | |
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Systems of Linear Inequalities | |
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Roots and Radicals | |
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Introduction to Radicals | |
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Simplifying Radicals | |
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Adding and Subtracting Radical Expressions | |
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Multiplying and Dividing Radical Expressions | |
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Solving Equations Containing Radicals | |
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Radical Equations and Problem Solving | |
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Rational Exponents | |
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Solving Quadratic Equations | |
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Solving Quadratic Equations by the Square Root Method | |
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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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Summary of Methods for Solving Quadratic Equations | |
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Complex Solutions to Quadratic Equations | |
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Graphing Quadratic Equations | |
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Appendices | |
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Operations on Decimals | |
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Review of Angles, Lines, and Special Triangles | |
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Review of Geometric Figures | |
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Mean, Median, and Mode | |
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Table of Squares and Square Roots | |
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Answers to Selected Exercises | |
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Index | |
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Photo Credits | |