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| Real Numbers and Their Properties | |
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| The Real Numbers | |
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| Fractions | |
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| Addition and Subtraction of Real Numbers | |
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| Multiplication and Division of Real Numbers | |
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| Exponential Expressions and the Order of Operations | |
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| Algebraic Expressions | |
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| Properties of the Real Numbers | |
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| Using the Properties to Simplify Expressions | |
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| Linear Equations and Inequalities in One Variable | |
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| The Addition and Multiplication Properties of Equality | |
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| Solving General Linear Equations | |
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| More Equations | |
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| Formulas | |
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| Translating Verbal Expressions into Algebraic Expressions | |
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| Number, Geometric, and Uniform Motion Applications | |
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| Discount, Investment, and Mixture Applications | |
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| Inequalities | |
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| Solving Inequalities and Applications | |
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| Linear Equations in Two Variables and Their Graphs | |
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| Graphing Lines in the Coordinate Plane | |
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| Slope | |
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| Equations of Lines in Slope-Intercept Form | |
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| The Point-Slope Form | |
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| Variation | |
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| Systems of Linear Equations and Inequalities | |
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| The Graphing Method | |
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| The Substitution Method | |
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| The Addition Method | |
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| Graphing Linear Inequalities in Two Variables | |
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| Graphing Systems of Linear Inequalities | |
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| Polynomials and Exponents | |
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| Addition and Subtraction of Polynomials | |
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| Multiplication of Polynomials | |
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| Multiplication of Binomials | |
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| Special Products | |
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| Division of Polynomials | |
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| Nonnegative Integral Exponents | |
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| Negative Exponents and Scientific Notation | |
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| Factoring | |
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| Factoring Out Common Factors | |
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| Factoring the Special Products and Factoring by Grouping | |
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| Factoring ax^2 + bx + c with a=1 | |
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| Factoring ax^2 + bx + c with a not equal to 1 | |
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| Factoring a Difference or Sum of Two Cubes | |
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| Solving Quadratic Equations by Factoring | |
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| Rational Expressions | |
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| Reducing Rational Expressions | |
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| Multiplication and Division | |
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| Finding the Least Common Denominator | |
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| Addition and Subtraction | |
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| Complex Fractions | |
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| Solving Equations with Rational Expressions | |
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| Applications of Ratios and Proportions | |
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| Applications of Rational Expressions | |
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| Powers and Roots | |
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| Roots, Radicals, and Rules | |
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| Simplifying Square Roots | |
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| Operations with Radicals | |
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| Solving Equations with Radicals and Exponents | |
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| Fractional Exponents | |
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| Quadratic Equations, Parabolas, and Functions | |
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| The Square Root Property and Factoring | |
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| Completing the Square | |
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| The Quadratic Formula | |
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| Applications of Quadratic Equations | |
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| Complex Numbers | |
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| Graphing Parabolas | |
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| Introduction to Functions | |
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| Combining Functions | |
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| Geometry Review | |
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| Table of Squares and Square Roots | |
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| Common Logarithms | |
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| Answers to Selected Exercises | |