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| An Introduction to Algebra | |
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| The Language of Algebra | |
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| Fractions | |
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| The Real Numbers | |
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| Adding Real Numbers | |
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| Properties of Addition | |
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| Subtracting Real Numbers | |
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| Multiplying and Dividing Real Numbers | |
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| Exponents and Order of Operations | |
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| Algebraic Expressions | |
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| Simplifying Algebraic Expressions Using Properties of Real Numbers | |
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| Chapter 1 Summary and Review | |
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| Chapter 1 Test | |
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| Equations, Inequalities, and Problem Solving | |
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| Solving Equations Using Properties of Equality | |
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| More about Solving Equations | |
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| Applications of Percent | |
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| Formulas | |
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| Problem Solving | |
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| More about Problem Solving | |
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| Solving Inequalities | |
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| Chapter 2 Summary and Review | |
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| Chapter 2 Test | |
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| Chapters 1-2 Cumulative Review Exercises | |
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| Graphs, Linear Equations, and Functions | |
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| Graphing Using the Rectangular Coordinate System | |
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| Equations Containing Two Variables | |
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| Graphing Linear Equations | |
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| Rate of Change and the Slope of a Line | |
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| Slope-Intercept Form | |
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| Point-Slope Form | |
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| Writing Linear Equations | |
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| Graphing Linear Inequalities | |
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| Functions | |
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| Chapter 3 Summary and Review | |
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| Chapter 3 Test | |
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| Chapters 1-3 Cumulative Review Exercises | |
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| Solving Systems of Equations and Inequalities | |
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| Solving Systems of Equations by Graphing | |
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| Solving Systems of Equations by Substitution | |
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| Solving Systems of Equations by Addition (Elimination) | |
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| Problem Solving Using Systems of Equations | |
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| Solving Systems of Linear Inequalities | |
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| Chapter 4 Summary and Review | |
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| Chapter 4 Test | |
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| Chapters 1-4 Cumulative Review Exercises | |
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| Exponents and Polynomials | |
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| Natural-Number Exponents | |
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| Rules of Exponents | |
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| Zero and Negative Integer Exponents | |
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| Scientific Notation | |
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| Polynomials | |
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| Adding and Subtracting Polynomials | |
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| Multiplying Polynomials | |
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| Dividing Polynomials by Monomials | |
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| Dividing Polynomials by Polynomials | |
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| Chapter 5 Summary and Review | |
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| Chapter 5 Test | |
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| Chapters 1-5 Cumulative Review Exercises | |
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| Factoring and Quadratic Equations | |
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| The Greatest Common Factor | |
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| 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 Perfect-Square Trinomials and the Difference of Two Squares | |
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| Factoring the Sum and Difference of Two Cubes | |
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| A Factoring Strategy | |
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| Quadratic Equations | |
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| Applications of Quadratic Equations | |
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| Chapter 6 Summary and Review | |
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| Chapter 6 Test | |
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| Chapters 1-6 Cumulative Review Exercises | |
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| Rational Expressions and Equations | |
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| Simplifying Rational Expressions | |
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| Multiplying and Dividing Rational Expressions | |
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| Adding and Subtracting with Like Denominators | |
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| Least Common Denominators | |
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| Adding and Subtracting with Unlike Denominators | |
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| Simplifying Complex Fractions | |
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| Solving Rational Equations | |
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| Problem Solving Using Rational Equations | |
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| Proportions and Similar Triangles | |
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| Variation | |
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| Chapter 7 Summary and Review | |
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| Chapter 7 Test | |
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| Chapters 1-7 Cumulative Review Exercises | |
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| Roots and Radicals | |
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| Square Roots | |
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| Higher-Order Roots | |
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| Radicands That Contain Variables | |
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| Simplifying Radical Expressions | |
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| Adding and Subtracting Radical Expressions | |
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| Multiplying and Dividing Radical Expressions | |
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| Solving Radical Equations; the Distance Formula | |
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| Rational Exponents | |
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| Chapter 8 Summary and Review | |
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| Chapter 8 Test | |
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| Chapters 1-8 Cumulative Review Exercises | |
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| Quadratic Equations | |
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| Solving Quadratic Equations: The Square Root Property | |
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| Solving Quadratic Equations: Completing the Square. | |
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| Solving Quadratic Equations: The Quadratic Formula | |
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| Graphing Quadratic Functions | |
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| Complex Numbers | |
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| Chapter 9 Summary and Review | |
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| Chapter 9 Test | |
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| Chapter 9 Cumulative Review Exercises | |