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| The Basics | |
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| Groups of Numbers | |
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| Ways of Showing Things in Algebra | |
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| Properties and Elements | |
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| Exponents and Powers | |
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| Square Roots and Cube Roots | |
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| Zero, FOO, and Divisibility | |
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| Chapter Practice | |
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| Signed Numbers | |
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| Introducing Signed Numbers | |
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| Adding Balloons and Sandbags | |
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| Subtracting Balloons and Sandbags | |
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| Understanding Number Lines | |
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| Adding Signed Numbers | |
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| Subtracting Signed Numbers | |
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| Minus Sign before Parentheses | |
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| Letter Carrier Stories to Illustrate Multiplication | |
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| Multiplying Signed Numbers | |
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| Dividing Signed Numbers | |
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| Chapter Practice | |
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| Fractions, Decimals, and Percents | |
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| The Concept of Fractions | |
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| Adding and Subtracting Signed Fractions | |
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| Multiplying and Dividing Signed Fractions | |
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| Multiplying and Dividing Mixed Numbers | |
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| Simplifying Complex Fractions | |
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| Changing Decimals to Fractions | |
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| What Are Percents? | |
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| Finding a Percent of a Number | |
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| Understanding Scientific Notation | |
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| Chapter Practice | |
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| Variables, Terms, and Simple Equations | |
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| Balance Pictures | |
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| Constants and Variables | |
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| Coefficients and Factors | |
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| Evaluating Expressions | |
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| Solving One-Variable Equations | |
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| Adding and Subtracting Variables | |
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| Changing Repeating Decimals to Fractions | |
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| Solving Equations Using Multiple Steps | |
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| Multiplying and Dividing Variables | |
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| Chapter Practice | |
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| Axioms, Ratios, Proportions, and Sets | |
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| Axioms of Equality | |
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| Defining and Creating Ratios | |
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| Proportions | |
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| Set Theory | |
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| Chapter Practice | |
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| Monomials, Binomials, and Systems of Equations | |
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| Monomials | |
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| Binomials | |
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| Creating Systems of Simultaneous Equations | |
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| Solving Systems of Equations by Substitution | |
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| Chapter Practice | |
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| Polynomials and Factoring | |
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| Polynomials Investigated | |
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| Factoring | |
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| Chapter Practice | |
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| Cartesian Coordinates | |
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| Philosophically Speaking | |
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| Finding the Slope and Intercepts | |
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| Graphing Linear Equations by Slope and Intercept | |
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| Finding the Equation of a Line | |
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| Writing Equations in Point-Slope Form | |
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| Graphing Systems of Equations | |
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| Chapter Practice | |
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| Inequalities and Absolute Value | |
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| Introducing Inequalities | |
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| Graphing Inequalities on a Number Line | |
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| Solving Inequalities by Adding and Subtracting | |
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| Solving Inequalities by Multiplying and Dividing | |
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| Understanding Absolute Value | |
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| Inequalities and Half-Planes | |
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| Chapter Practice | |
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| Algebraic Fractions | |
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| Introducing Algebraic Fractions | |
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| Simplifying Algebraic Fractions | |
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| Multiplying Algebraic Fractions | |
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| Dividing Algebraic Fractions | |
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| Adding and Subtracting Algebraic Fractions | |
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| Chapter Practice | |
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| Roots and Radicals | |
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| Defining Roots | |
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| Operations with Square Roots | |
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| Chapter Practice | |
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| Quadratic Equations | |
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| Standard Quadratic Equation Form | |
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| Solving Quadratic Equations by Factoring | |
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| Solving Quadratics by Completing the Square | |
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| Solving Quadratic Equations by Formula | |
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| Chapter Practice | |
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| Algebraic Word Problems | |
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| Techniques for Translating Problems into Equations | |
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| Types of Problems | |
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| Chapter Practice | |
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| Glossary | |
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| Index | |