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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 | |