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| Study Skills: Your Brain Can Learn Mathematics | |
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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 Study Skills: Using Your Textbook | |
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| Linear Equations and Applications | |
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| Linear Equations in One Variable Study Skills: Homework: How, Why, When | |
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| Formulas and Percent | |
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| Applications of Linear Equations Study Skills: Taking Lecture Notes | |
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| Further Applications of Linear Equations Summary Exercises on Solving Applied Problems Study Skills: Reviewing a Chapter Study Skills: Preparing for Tests | |
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| Linear Inequalities and Absolute Value | |
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| Linear Inequalities in One Variable Study Skills: Using Study Cards | |
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| Set Operations and Compound Inequalities Study Skills: Using Study Cards Revisited | |
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| Absolute Value Equations and Inequalities Summary Exercises on Solving Linear and Absolute Value Equations and Inequalities Study Skills: Managing Your Time Study Skills: Tips for Taking Math Tests | |
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| Graphs, Linear Equations, and Functions | |
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| The Rectangular Coordinate System | |
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| Slope of a Line | |
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| Linear Equations in Two Variables | |
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| Linear Inequalities in Two Variables | |
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| Introduction to Functions Study Skills: Analyzing Your Test Results | |
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| Systems of Linear Equations | |
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| Linear Systems of Equations in Two Variables | |
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| Linear Systems of Equations in Three Variables | |
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| Applications of Linear Systems of Equations | |
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| Solving Linear Systems of Equations by Matrix Methods | |
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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 | |
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| 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 | |
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| Rational Expressions and Functions; Multiplying and Dividing Study Skills: Making a Mind Map | |
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| Adding and Subtracting Rational Expressions | |
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| Complex Fractions | |
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| Graphs and Equations with Rational Expressions Summary Exercises on Operations and Equations with Rational Expressions | |
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| Applications of Rational Expressions | |
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| Variation | |
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| Roots and Radicals | |
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| Rational 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 Summary Exercises on Operations with Radicals | |
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| Equations with Radical Expressions | |
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| Complex Numbers Study Skills: Preparing for Your Math Final | |
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| Quadratic Equations, Inequalities, and Graphs | |
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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 Summary Exercises on Solving Quadratic Equations | |
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| Formulas and Further Applications | |
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| Graphs of Quadratic Functions | |
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| More About Parabolas and Their Applications | |
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| Polynomial and Rational Inequalities | |
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| Inverse, Exponential, and Logarithmic Functions | |
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| Inverse Functions | |
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| Exponential Functions | |
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| Logarithmic Functions | |
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| Properties of Logarithms | |
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| Common and Natural Logarithms | |
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| Exponential and Logarithmic Equations; Applications | |
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| Nonlinear Functions | |