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| Getting Ready for Algebra | |
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| Operations on Real Numbers and Algebraic Expressions | |
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| Success in Mathematics | |
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| The Number Systems and the Real Number Line | |
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| Adding, Subtracting, Multiplying, and Dividing Integers | |
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| Adding, Subtracting, Multiplying, and Dividing Rational Numbers Expressed as Fractions and Decimals | |
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| Properties of Real Numbers | |
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| Exponents and the Order of Operations | |
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| Simplifying Algebraic Expressions | |
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| Developing Algebraic Skills Using One Unknown | |
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| Equations and Inequalities in One Variable | |
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| Linear Equations: The Addition and Multiplication Properties of Equality | |
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| Linear Equations: Using the Properties Together | |
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| Solving Linear Equations Involving Fractions and Decimals Classifying Equations | |
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| Evaluating Formulas and Solving Formulas for a Variable | |
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| Introduction to Problem Solving: Direct Translation Problems | |
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| Problem Solving: Direct Translation Problems Involving Percent | |
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| Problem Solving: Geometry and Uniform Motion | |
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| Solving Inequalities in One Variable | |
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| Polynomials | |
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| Adding and Subtracting Polynomials | |
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| Multiplying Monomials: The Product and Power Rules | |
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| Multiplying Polynomials | |
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| Dividing Monomials: The Quotient Rule and Integer Exponents | |
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| Dividing Polynomials | |
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| Applying Exponent Rules: Scientific Notation | |
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| Factoring Polynomials | |
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| Greatest Common Factor and 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, a ? 1 | |
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| Factoring Special Products | |
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| Summary of Factoring Techniques | |
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| Solving Polynomial Equations by Factoring | |
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| Modeling and Solving Problems with Quadratic Equations | |
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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 Rational Expressions with a Common Denominator | |
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| Finding the Least Common Denominator and Forming Equivalent Rational Expressions | |
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| Adding and Subtracting Rational Expressions with Unlike Denominators | |
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| Complex Rational Expressions | |
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| Rational Equations | |
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| Models Involving Rational Expressions | |
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| Radical Expressions and Equations | |
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| Introduction to Square Roots | |
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| Simplifying Square Roots | |
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| Adding and Subtracting Square Roots | |
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| Multiplying Expressions with Square Roots | |
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| Dividing Expressions with Square Roots | |
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| Solving Equations Containing Square Roots | |
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| Higher Roots and Rational Exponents | |
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| Quadratic Equations | |
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| Solving Quadratic Equations Using the Square Root Property | |
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| Solving Quadratic Equations by Completing the Square | |
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| Solving Quadratic Equations Using the Quadratic Formula | |
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| Problem Solving Using Quadratic Equations | |
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| The Complex Number System | |
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| Developing Algebraic Skills Using Two Unknowns | |
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| Introduction to Graphing and Equations of Lines | |
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| The Rectangular Coordinate System and Equations in Two Variables | |
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| Graphing Equations in Two Variables | |
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| Slope | |
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| Slope-Intercept Form of a Line | |
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| Point-Slope Form of a Line | |
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| Parallel and Perpendicular Lines | |
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| Variation | |
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| Linear Inequalities in Two Variables | |
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| Systems of Linear Equations and Inequalities | |
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| Solving Systems of Linear Equations by Graphing | |
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| Solving Systems of Linear Equations Using Substitution | |
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| Solving Systems of Linear Equations Using Elimination | |
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| Solving Direct Translation, Geometry, and Uniform Motion Problems Using Systems of Linear Equations | |
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| Solving Mixture Problems Using Systems of Linear Equations | |
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| Systems of Linear Inequalities | |
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| Graphs of Quadratic Equations in Two Variables and an Introduction to Functions | |
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| Quadratic Equations in Two Variables | |
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| Relations | |
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| An Introduction to Functions | |
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| Appendix | |
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| Fractions | |
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| Decimals and Percents | |
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| Geometry | |
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| Table of Square Roots | |