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Study Skills: Your Brain Can Learn Mathematics Chapter R: Prealgebra Review R.1 Fractions R.2 Decimals and Percents 1. The Real Number System 1.1 Exponents, Order of Operations, and Inequality Study Skills: Homework: How, Why, and When 1.2 Variables, Expressions, and Equations Study Skills: Taking Lecture Notes 1.3 Real Numbers and the Number Line Study Skills: Using Study Cards 1.4 Adding Real Numbers 1.5 Subtracting Real Numbers 1.6 Multiplying and Dividing Real Numbers Summary Exercises on Operations with Real Numbers 1.7 Properties of Real Numbers 1.8 Simplifying Expressions Study Skills: Reviewing a Chapter Study Skills: Preparing for Tests 2. Equations, Inequalities, and Applications 2.1 The Addition Property of Equality 2.2 The Multiplication Property of Equality 2.3 More on Solving Linear Equations Study Skills: Using Study Cards Revisited 2.4 An Introduction to Applications of Linear Equations 2.5 Formulas and Additional Applications from Geometry 2.6 Ratio, Proportion, and Percent Summary Exercises on Solving Applied Problems 2.7 Solving Linear Inequalities Study Skills: Managing Your Time Study Skills: Tips for Taking Math Tests 3. Graphs of Linear Equations and Inequalities; Functions 3.1 Reading Graphs; Linear Equations in Two Variables 3.2 Graphing Linear Equations in Two Variables 3.3 Slope of a Line 3.4 Equations of Lines Summary Exercises on Linear Equations and Graphs 3.5 Graphing Linear Inequalities in Two Variables 3.6 Introduction to Functions Study Skills: Analyzing Your Test Results 4. Systems of Linear Equations and Inequalities 4.1 Solving Systems of Linear Equations by Graphing 4.2 Solving Systems of Linear Equations by Substitution 4.3 Solving Systems of Linear Equations by Elimination Summary Exercises of Solving Systems of Linear Equations 4.4 Applications of Linear Systems 4.5 Solving Systems of Linear Inequalities 5. Exponents and Polynomials 5.1 Adding and Subtracting Polynomials 5.2 The Product Rule and Power Rules for Exponents 5.3 Multiplying Polynomials 5.4 Special Products 5.5 Integer Exponents and the Quotient Rule Summary Exercises on the Rules for Exponents 5.6 Dividing a Polynomial by a Monomial 5.7 Dividing a Polynomial by a Polynomial 5.8 An Application of Exponents: Scientific Notation 6. Factoring and Applications 6.1 Factors; The Greatest Common Factor 6.2 Factoring Trinomials 6.3 Factoring Trinomials by Grouping 6.4 Factoring Trinomials Using FOIL 6.5 Special Factoring Techniques 6.6 A General Approach to Factoring 6.7 Solving Quadratic Equations by Factoring 6.8 Applications of Quadratic Equations Study Skills: Preparing for Your Math Final Exam 7. Rational Expressions and Functions 7.1 Rational Expressions and Functions; Multiplying and Dividing Study Skills: Making a Mind Map 7.2 Adding and Subtracting Rational Expressions 7.3 Complex Functions 7.4 Equations with Rational Expressions and Graphs Summary Exercises on Rational Expressions and Equations 7.5 Applications of Rational Expressions 7.6 Variation 8. Equations, Inequalities, and Systems Revisited 8.1 Review of Solving Linear Equations and Inequalities 8.2 Set Operations and Compound Inequalities 8.3 Absolute Value Equations and Inequalities Summary Exercises on Solving Linear and Absolute Value Equations and Inequalities 8.4 Review of Systems of Linear Equations in Two Variables 8.5 Systems of Linear Equations in Three Variables; Applications 8.6 Solving Systems of Linear Equations by Matrix Methods 9. Roots, Radicals, and Root Functions 9.1 Radical Expressions and Graphs 9.2 Rational Exponents 9.3 Simplifying Radical Expressions 9.4 Adding and Subtracting Radical Expressions 9.5 Multiplying and Dividing Radical Expressions Summary Exercises on Operations with Radicals and Rational Exponents 9.6 Solving Equations with Radicals 9.7 Complex Numbers 10. Quadratic Equations, Inequalities, and Functions 10.1 Solving Quadratic Equations by the Square Root Property 10.2 Solving Quadratic Equations by Completing the Square 10.3 Solving Quadratic Equations by the Quadratic Formula 10.4 Equations Quadratic in Form Summary Exercises on Solving Quadratic Equations 10.5 Formulas and Further Applications 10.6 Graphs of Quadratic Functions 10.7 More about Parabolas and Their Applications 10.8 Polynomial and Rational Inequalities 11. Inverse, Exponential, and Logarithmic Functions 11.1 Inverse Functions 11.2 Exponential Functions 11.3 Logarithmic Functions 11.4 Properties of Logarithms 11.5 Common and Natural Logarithms 11.6 Exponential and Logarithmic Equations; Further Applications 12. Nonlinear Functions, Conic Sections, and Nonlinear Systems 12.1 Additional Graphs of Functions; Operations and Composition 12.2 The Circle and the Ellipse 12.3 The Hyperbola and Other Functions Defined by Radicals 12.4 Nonlinear Systems of Equations 12.5 Second-Degree Inequalities and Systems of Inequalities Appendix A. Review of Exponents, Polynomials, and Factoring Appendix B. Strategies for Problem Solving Appendix C. Synthetic Division Table of Contents
Get Introductory and Intermediate Algebra, 4th Edition by Margaret L. Lial, American River College John Hornsby, University of New Orleans Terry McGinnis
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