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| Introduction to Real Numbers and Algebraic Expressions | |
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| Pretest | |
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| Introduction to Algebra | |
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| The Real Numbers | |
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| Addition of Real Numbers | |
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| Subtraction of Real Numbers | |
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| Multiplication of Real Numbers | |
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| Division of Real Numbers | |
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| Properties of Real Numbers | |
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| Simplifying Expressions; Order of Operations | |
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| Summary and Review | |
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| Test | |
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| Solving Equations and Inequalities | |
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| Pretest | |
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| Solving Equations: The Addition Principle | |
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| Solving Equations: The Multiplication Principle | |
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| Using the Principles Together | |
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| Formulas | |
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| Applications of Percent | |
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| Applications and Problem Solving | |
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| Solving Inequalities | |
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| Applications and Problem Solving with Inequalities | |
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| Summary and Review | |
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| Test | |
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| Graphs of Linear Equations | |
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| Pretest | |
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| Graphs and Applications | |
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| Graphing Linear Equations | |
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| More with Graphing and Intercepts | |
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| Slope and Applications | |
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| Summary and Review | |
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| Test | |
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| Cumulative Review: Chapters 1-3 | |
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| Polynomials: Operations | |
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| Pretest | |
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| Integers as Exponents | |
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| Exponents and Scientific Notation | |
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| Introduction to Polynomials | |
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| Addition and Subtraction of Polynomials | |
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| Multiplication of Polynomials | |
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| Special Products | |
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| Operations with Polynomials in Several Variables | |
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| Division of Polynomials | |
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| Summary and Review | |
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| Test | |
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| Polynomials: Factoring | |
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| Pretest | |
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| Introduction to Factoring | |
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| Factoring Trinomials of the Type x[superscript 2] + bx + c | |
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| Factoring ax[superscript 2] + bx + c, a [not equal] 1: The FOIL Method | |
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| Factoring ax[superscript 2] + bx + c, a [not equal] 1: The ac-Method | |
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| Factoring Trinomial Squares and Differences of Squares | |
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| Factoring Sums or Differences of Cubes | |
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| Factoring: A General Strategy | |
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| Solving Quadratic Equations by Factoring | |
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| Applications of Quadratic Equations | |
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| Summary and Review | |
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| Test | |
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| Rational Expressions and Equations | |
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| Pretest | |
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| Multiplying and Simplifying Rational Expressions | |
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| Division and Reciprocals | |
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| Least Common Multiples and Denominators | |
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| Adding Rational Expressions | |
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| Subtracting Rational Expressions | |
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| Complex Rational Expressions | |
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| Solving Rational Equations | |
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| Applications Using Rational Equations and Proportions | |
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| Variation and Applications | |
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| Summary and Review | |
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| Test | |
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| Cumulative Review: Chapters 1-6 | |
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| Graphs, Functions, and Applications | |
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| Pretest | |
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| Functions and Graphs | |
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| Finding Domain and Range | |
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| Linear Functions: Graphs and Slope | |
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| More on Graphing Linear Equations | |
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| Finding Equations of Lines; Applications | |
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| Summary and Review | |
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| Test | |
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| Systems of Equations | |
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| Pretest | |
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| Systems of Equations in Two Variables | |
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| Solving by Substitution | |
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| Solving by Elimination | |
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| Solving Applied Problems: Two Equations | |
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| Systems of Equations in Three Variables | |
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| Solving Applied Problems: Three Equations | |
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| Business and Economics Applications | |
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| Summary and Review | |
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| Test | |
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| More on Inequalities | |
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| Pretest | |
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| Sets, Inequalities, and Interval Notation | |
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| Intersections, Unions, and Compound Inequalities | |
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| Absolute-Value Equations and Inequalities | |
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| Systems of Inequalities in Two Variables | |
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| Summary and Review | |
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| Test | |
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| Cumulative Review: Chapters 1-9 | |
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| Radical Expressions, Equations, and Functions | |
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| Pretest | |
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| Radical Expressions and Functions | |
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| Rational Numbers as Exponents | |
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| Simplifying Radical Expressions | |
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| Addition, Subtraction, and More Multiplication | |
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| More on Division of Radical Expressions | |
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| Solving Radical Equations | |
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| Applications Involving Powers and Roots | |
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| The Complex Numbers | |
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| Summary and Review | |
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| Test | |
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| Quadratic Equations and Functions | |
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| Pretest | |
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| The Basics of Solving Quadratic Equations | |
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| The Quadratic Formula | |
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| Applications Involving Quadratic Equations | |
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| More on Quadratic Equations | |
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| Graphing f(x) = a(x - h)[superscript 2] + k | |
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| Graphing f(x) = ax[superscript 2] + bx + c | |
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| Mathematical Modeling with Quadratic Functions | |
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| Polynomial and Rational Inequalities | |
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| Summary and Review | |
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| Test | |
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| Exponential and Logarithmic Functions | |
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| Pretest | |
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| Exponential Functions | |
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| Inverse and Composite Functions | |
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| Logarithmic Functions | |
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| Properties of Logarithmic Functions | |
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| Natural Logarithmic Functions | |
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| Solving Exponential and Logarithmic Equations | |
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| Mathematical Modeling with Exponential and Logarithmic Functions | |
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| Summary and Review | |
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| Test | |
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| Cumulative Review/Final Examination: Chapters 1-12 | |
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| Appendixes | |
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| Factoring and LCMs | |
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| Fraction Notation | |
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| Exponential Notation and Order of Operations | |
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| Review of Factoring Polynomials | |
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| Introductory Algebra Review | |
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| Handling Dimension Symbols | |
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| Mean, Median, and Mode | |
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| Synthetic Division | |
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| Determinants and Cramer's Rule | |
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| Elimination Using Matrices | |
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| The Algebra of Functions | |
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| Distance, Midpoints, and Circles | |
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| Photo Credits | |
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| Answers | |
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| Index | |