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| The Basics | |
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| Variables, Notation, and Symbols | |
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| Real Numbers | |
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| Addition and Subtraction of Real Numbers | |
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| Multiplication of Real Numbers | |
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| Division of Real Numbers | |
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| Properties of Real Numbers | |
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| Subsets of Real Numbers | |
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| Addition and Subtraction of Fractions with Variables | |
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| Linear Equations and Inequalities | |
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| Simplifying Expressions | |
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| Addition Property of Equality | |
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| Multiplication Property of Equality | |
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| Solving Linear Equation | |
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| Formulas | |
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| Applications | |
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| More Applications | |
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| Linear Inequalities | |
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| Compound Inequalities | |
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| Linear Equations and Inequalities in Two Variables | |
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| Paired Data and Graphing Ordered Pairs | |
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| Solutions to Linear Equations in Two Variables | |
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| Graphing Linear Equations in Two Variables | |
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| More on Graphing: Intercepts | |
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| The Slope of a Line | |
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| Finding the Equation of a Line | |
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| Linear Inequalities in Two Variables | |
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| Systems of Linear Equations | |
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| Solving Linear Systems by Graphing | |
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| The Elimination Method | |
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| The Substitution Method | |
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| Applications | |
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| Exponents and Polynomials | |
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| Multiplication with Exponents | |
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| Division with Exponents | |
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| Operations with Monomials | |
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| Addition and Subtraction of Polynomials | |
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| Multiplication of Polynomials | |
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| Binomial Squares and Other Special Products | |
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| Divide a Polynomial by a Monomial | |
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| Divide a Polynomial by a Polynomial | |
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| Factoring | |
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| The Greatest Common Factor and Factoring by Grouping | |
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| Factoring Trinomials | |
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| More Trinomials to Factor | |
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| The Difference of Two Squares | |
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| The Sum and Difference of Two Cubed | |
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| Factoring: A General Review | |
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| Solving Quadratic Equations by Factoring | |
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| Applications of Quadratic Equations | |
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| Rational Expressions | |
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| Reducing Rational Expressions to Lowest Terms | |
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| Multiplication and Division of Rational Expressions | |
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| Addition and Subtraction of Rational Expressions | |
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| Equations Involving Rational Expressions | |
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| Applications of Rational Expressions | |
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| Complex Fractions | |
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| Proportions | |
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| Direct and Inverse Variation | |
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| Roots and Radicals | |
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| Definitions and Common Roots | |
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| Properties of Radicals | |
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| Simplified Form for Radicals | |
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| Addition and Subtraction of Radical Expressions | |
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| Multiplication and Division of Radicals | |
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| Equations Involving Radicals | |
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| Quadratic Equations | |
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| More Quadratic Equations | |
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| Completing the Square | |
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| The Quadratic Formula | |
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| Complex Numbers | |
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| Complex Solutions to Quadratic Equations | |
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| Graphing Parabola | |
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| Appendices | |
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| Introduction to Functions | |
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| Functional Notation | |
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| Fractional Exponents | |
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| Equations with Absolute Value | |
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| Inequalities with Absolute Value | |