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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 | |