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Review of the Real Number System | |
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Basic Concepts | |
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Operations on Real Numbers | |
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Exponents, Roots, and Order of Operations | |
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Properties of Real Numbers | |
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Linear Equations, Inequalities, and Applications | |
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Linear Equations in One Variable Formulas | |
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Applications of Linear Equations | |
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Further Applications of Linear Equations | |
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Summary Exercises on Solving Applied Problems | |
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Linear Inequalities in One Variable | |
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Set Operations and Compound Inequalities | |
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Absolute Value Equations and Inequalities | |
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Summary Exercises on Solving Linear and Absolute Value Equations and Inequalities | |
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Graphs, Linear Equations, and Functions | |
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The Rectangular Coordinate System | |
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The Slope of a Line | |
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Linear Equations in Two Variables | |
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Linear Inequalities in Two Variables to Functions Variation | |
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Systems of Linear Equations of Linear Equations in Two Variables | |
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Systems of Linear Equations in Three Variables Applications of Systems of Linear Equations | |
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Solving Systems of Linear Equations by Matrix Methods | |
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Determinants and Cramer's Rule | |
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Exponents, Polynomials, and Polynomial Functions | |
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Integer Exponents and Scientific Notation | |
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Adding and Subtracting Polynomials | |
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Polynomial Functions | |
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Multiplying Polynomials | |
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Dividing Polynomials | |
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Factoring | |
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Greatest Common Factors; Factoring by Grouping Factoring Trinomials | |
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Special Factoring | |
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A General Approach to Factoring | |
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Solving Equations by Factoring | |
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Rational Expressions and Functions | |
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Rational Expressions and Functions; Multiplying and Dividing | |
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Adding and Subtracting Rational Expressions | |
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Complex Fractions | |
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Equations with Rational Expressions and Graphs | |
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Summary Exercises on Operations and Equations with Rational Expressions | |
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Applications of Rational Expressions | |
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Roots, Radicals, and Root Functions | |
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Radical Expressions and Graphs | |
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Rational Exponents | |
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Simplifying Radical Expressions | |
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Adding and Subtracting Radical Expressions | |
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Multiplying and Dividing Radical Expressions | |
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Summary Exercises on Operations with Radicals | |
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Solving Equations with Radicals | |
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Complex Numbers | |
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Quadratic Equations and Inequalities | |
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The Square Root Property and Completing the Square | |
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The Quadratic Formula | |
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Equations Quadratic in Form | |
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Summary Exercises on Solving Quadratic Equations | |
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Formulas and Further Applications | |
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Quadratic and Rational Inequalities | |