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| Preface | |
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| To the Student | |
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| Real Numbers | |
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| Study Skills for Success in Mathematics | |
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| Problem Solving | |
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| Fractions | |
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| The Real Number System | |
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| Inequalities | |
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| Addition of Real Numbers | |
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| Subtraction of Real Numbers | |
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| Multiplication and Division of Real Numbers | |
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| Exponents, Parentheses, and the Order of Operations | |
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| Properties of the Real Number System | |
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| Summary | |
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| Review Exercises | |
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| Practice Test | |
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| Solving Linear Equations | |
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| Combining Like Terms | |
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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 with a Variable on Only One Side of the Equation | |
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| Solving Linear Equations with the Variable on Both Sides of the Equation | |
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| Ratios and Proportions | |
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| Summary | |
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| Review Exercises | |
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| Practice Test | |
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| Cumulative Review Test | |
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| Formulas and Applications of Algebra | |
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| Formulas | |
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| Changing Application Problems into Equations | |
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| Solving Application Problems | |
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| Geometric Problems | |
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| Motion and Mixture Problems | |
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| Summary | |
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| Review Exercises | |
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| Practice Test | |
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| Cumulative Review Test | |
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| Graphing Linear Equations | |
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| The Cartesian Coordinate System and Linear Equations in Two Variables | |
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| Graphing Linear Equations | |
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| Slope of a Line | |
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| Slope-Intercept and Point-Slope Forms of a Linear Equation | |
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| Summary | |
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| Review Exercises | |
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| Practice Test | |
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| Cumulative Review Test | |
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| Exponents and Polynomials | |
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| Exponents | |
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| Negative Exponents | |
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| Scientific Notation | |
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| Addition and Subtraction of Polynomials | |
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| Multiplication of Polynomials | |
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| Division of Polynomials | |
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| Summary | |
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| Review Exercises | |
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| Practice Test | |
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| Cumulative Review Test | |
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| Factoring | |
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| Factoring a Monomial from a Polynomial | |
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| Factoring by Grouping | |
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| Factoring Trinomials of the from ax[superscript 2] + bx + c, a = 1 | |
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| Factoring Trinomials of the form ax[superscript 2] + bx + c, a [not equal] 1 | |
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| Special Factoring Formulas and a General Review of Factoring | |
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| Solving Quadratic Equations Using Factoring | |
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| Summary | |
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| Review Exercises | |
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| Practice Test | |
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| Cumulative Review Test | |
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| Rational Expressions and Equations | |
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| Simplifying Rational Expressions | |
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| Multiplication and Division of Rational Expressions | |
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| Addition and Subtraction of Rational Expressions with a Common Denominator and Finding the Least Common Denominator | |
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| Addition and Subtraction of Rational Expressions | |
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| Complex Fractions | |
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| Solving Rational Equations | |
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| Rational Equations: Applications and Problem Solving | |
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| Variation | |
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| Summary | |
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| Review Exercises | |
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| Practice Test | |
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| Cumulative Review Test | |
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| Functions and Their Graphs | |
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| More on Graphs | |
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| Functions | |
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| Linear Functions | |
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| Slope, Modeling, and Linear Relationships | |
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| The Algebra of Functions | |
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| Summary | |
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| Review Exercises | |
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| Practice Test | |
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| Cumulative Review Test | |
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| Systems of Linear Equations | |
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| Solving Systems of Equations Graphically | |
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| Solving Systems of Equations by Substitution | |
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| Solving Systems of Equations by the Addition Method | |
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| Solving Systems of Linear Equations in Three Variables | |
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| Systems of Linear Equations: Applications and Problem Solving | |
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| Solving Systems of Equations Using Matrices | |
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| Solving Systems of Equations Using Determinants and Cramer's Rule | |
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| Summary | |
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| Review Exercises | |
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| Practice Test | |
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| Cumulative Review Test | |
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| Inequalities in One and Two Variables | |
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| Solving Linear Inequalities in One Variable | |
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| Solving Equations and Inequalities Containing Absolute Value | |
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| Graphing Linear Inequalities in Two Variables and Systems of Linear Inequalities | |
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| Summary | |
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| Review Exercises | |
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| Practice Test | |
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| Cumulative Review Test | |
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| Roots, Radicals, and Complex Numbers | |
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| Roots and Radicals | |
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| Rational Exponents | |
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| Multiplying and Simplifying Radicals | |
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| Dividing and Simplifying Radicals | |
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| Adding and Subtracting Radicals | |
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| Solving Radical Equations | |
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| Complex Numbers | |
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| Summary | |
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| Review Exercises | |
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| Practice Test | |
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| Cumulative Review Test | |
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| Quadratic 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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| Quadratic Equations: Applications and Problem Solving | |
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| Factoring Expressions and Solving Equations that are Quadratic in Form | |
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| Graphing Quadratic Functions | |
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| Quadratic and Other Inequalities in One Variable | |
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| Summary | |
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| Review Exercises | |
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| Practice Test | |
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| Cumulative Review Test | |
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| Exponential and Logarithmic Functions | |
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| Composite and 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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| Common Logarithms | |
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| Exponential and Logarithmic Equations | |
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| Natural Exponential and Natural Logarithmic Functions | |
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| Summary | |
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| Review Exercises | |
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| Practice Test | |
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| Cumulative Review Test | |
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| Conic Sections | |
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| The Parabola and the Circle | |
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| The Ellipse | |
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| The Hyperbola | |
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| Nonlinear Systems of Equations and Their Applications | |
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| Summary | |
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| Review Exercises | |
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| Practice Test | |
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| Cumulative Review Test | |
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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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| Summary | |
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| Review Exercises | |
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| Practice Test | |
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| Cumulative Review Test | |
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| Appendices | |
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| Review of Decimals and Percents | |
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| Finding the Greatest Common Factor and Least Common Denominator | |
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| Geometry Concepts and Formulas | |
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| Review of Exponents, Polynomials, and Factoring | |
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| Answers | |
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| Index | |
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| Photo Credits | |