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| Preface | |
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| Factors and the Least Common Multiple | |
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| Fractions | |
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| Decimals and Percents | |
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| Real Numbers and Introduction to Algebra | |
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| Symbols and Sets of Numbers | |
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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 Real Numbers | |
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| Dividing Real Numbers | |
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| Integrated Review—Operations on Real Numbers | |
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| Properties of Real Numbers | |
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| Reading Graphs | |
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| Equations, Inequalities, and Problem Solving | |
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| Simplifying Expressions | |
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| The Addition Property of Equality | |
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| The Multiplication Property of Equality | |
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| Further Solving Linear Equations | |
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| Integrated Review—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, Ratio, and Proportion | |
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| Linear Inequalities and Problem Solving | |
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| Graphing Equations and Inequalities | |
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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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| Integrated Review—Summary on Linear Equations | |
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| Graphing Linear Inequalities in Two Variables | |
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| Exponents and Polynomials | |
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| Exponents | |
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| Negative Exponents and Scientific Notation | |
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| Introduction to Polynomials | |
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| Adding and Subtracting Polynomials | |
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| Multiplying Polynomials | |
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| Special Products | |
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| Integrated Review—Operations on Polynomials | |
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| Dividing Polynomials | |
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| Factoring Polynomials | |
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| The Greatest Common Factor | |
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| Factoring Trinomials of the Form x2+ bx + c | |
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| Factoring Trinomials of the Forms ax2+ bx + c | |
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| Factoring Trinomials of the Forms ax2+ bx + c by Grouping | |
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| Factoring Perfect Square Trinomials and the Differences of Two Squares | |
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| Integrated Review-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 the Same Denominator and Least Common Denominator | |
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| Adding and Subtracting Rational Expressions with Different Denominators | |
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| Solving Equations Containing Rational Expressions | |
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| Integrated Review—Summary on Rational Expressions | |
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| Rational Equations and Problem Solving | |
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| Simplifying Complex Fractions | |
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| Graphs and Functions | |
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| The Slope-Intercept Form | |
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| More Equations of Lines | |
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| Integrated Review—Linear Equations in Two Variables | |
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| Introduction to Functions | |
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| Polynomial and Rational Functions | |
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| An Introduction to Graphing Polynomial Functions | |
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| Systems of 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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| Solving Systems of Linear Equations in Three Variables | |
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| Integrated Review—Systems of Linear Equations | |
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| Solving Systems of Linear Equations Using Matricies | |
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| Solving Systems of Linear Equations Using Determinants | |
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| Systems of Inequalities | |
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| Rational Exponents, Radicals, and Complex Numbers | |
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| Radical Expressions | |
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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 Numerators and Denominators of Radical Expressions | |
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| Integrated Review—Radicals and Rational Exponents | |
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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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| Integrated Review—Summary on Solving Quadratic Equations | |
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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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| Exponential and Logarithmic Functions | |
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| The Algebra of 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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| Integrated Review—Functions and Properties of Logarithms | |
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| Common Logarithms, Natural Logarithms, and Changes of Base | |
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| Exponential and Logarithmic Equations and Problem Solving | |
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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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| Integrated Review—Graphing Conic Sections | |
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| Graphing Nonlinear Functions | |
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| Solving Nonlinear Systems of Equations | |
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| Nonlinear Inequalities and Systems of Inequalities | |
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| Review of Angles, Lines, and Special Triangles | |
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| Review of Geometric Figures | |
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| Table of Squares and Square Roots | |
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| Mean, Median and Mode | |
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| Sets and Compound Inequalities | |
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| Absolute Value Equations and Inequalities | |