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1. Whole Numbers 1.1 Reading and Writing Whole Numbers 1.2 Adding Whole Numbers 1.3 Subtracting Whole Numbers 1.4 Multiplying Whole Numbers 1.5 Dividing Whole Numbers 1.6 Long Division 1.7 Rounding Whole Numbers 1.8 Exponents, Roots, and Order of Operations 1.9 Reading Pictographs, Bar Graphs, and Line Graphs 1.10 Solving Application Problems 2. Multiplying and Dividing Fractions 2.1 Basics of Fractions 2.2 Mixed Numbers 2.3 Factors 2.4 Writing a Fraction in Lowest Terms 2.5 Multiplying Fractions 2.6 Applications of Multiplication 2.7 Dividing Fractions 2.8 Multiplying and Dividing Mixed Numbers 3. Adding and Subtracting Fractions 3.1 Adding and Subtracting Like Fractions 3.2 Least Common Multiples 3.3 Adding and Subtracting Unlike Fractions 3.4 Adding and Subtracting Mixed Numbers 3.5 Order Relations and the Order of Operations 4. Decimals 4.1 Reading and Writing Decimal Numbers 4.2 Rounding Decimal Numbers 4.3 Adding and Subtracting Decimal Numbers 4.4 Multiplying Decimal Numbers 4.5 Dividing Decimal Numbers 4.6 Fractions and Decimals 5. Ratio and Proportion 5.1 Ratios 5.2 Rates 5.3 Proportions 5.4 Solving Proportions 5.5 Solving Application Problems with Proportions 6. Percent 6.1 Basics of Percent 6.2 Percents and Fractions 6.3 Using the Percent Proportion and Identifying the Components in a Percent Problem 6.4 Using Proportions to Solve Percent Problems 6.5 Using the Percent Equation 6.6 Solving Application Problems with Percent 6.7 Simple Interest 7. Measurement 7.1 Problem Solving with U.S. Measurement Units 7.2 The Metric System – Length 7.3 The Metric System – Capacity and Weight (Mass) 7.4 Problem Solving with Metric Measurement 7.5 Metric—U.S. Measurement Conversions and Temperature 8. Geometry 8.1 Basic Geometric Terms 8.2 Angles and Their Relationships 8.3 Rectangles and Squares 8.4 Parallelograms and Trapezoids 8.5 Triangles 8.6 Circles 8.7 Volume 8.8 Pythagorean Theorem 8.9 Similar Triangles 9. Introduction to Basic Algebra 9.1 Signed Numbers 9.2 Adding and Subtracting Signed Numbers 9.3 Multiplying and Dividing Signed Numbers 9.4 Order of Operations 9.5 Evaluating Expressions and Formulas 9.6 Solving Equations 9.7 Solving Equations with Several Steps 9.8 Using Equations to Solve Application Problems 10. Statistics 10.1 Circle Graphs 10.2 Bar Graphs and Line Graphs 10.3 Frequency Distributions and Histograms 10.4 Mean, Median, and Mode 11. The Real Number System 11.1 Exponents, Order of Operations, and Inequality 11.2 Variables, Expressions, and Equations 11.3 Real Numbers and the Number Line 11.4 Adding Real Numbers 11.5 Subtracting Real Numbers 11.6 Multiplying and Dividing Real Numbers 11.7 Properties of Real Numbers 11.8 Simplifying Expressions 12. Equations, Inequalities, and Applications 12.1 The Addition Property of Equality 12.2 The Multiplication Property of Equality 12.3 More on Solving Linear Equations 12.4 An Introduction to Applications of Linear Equations 12.5 Formulas and Additional Applications from Geometry 12.6 Ratio, Proportion, and Percent 12.7 Solving Linear Inequalities 13. Graphs of Linear Equations and Inequalities in Two Variables; Functions 13.1 Linear Equations in Two Variables; The Rectangular Coordinate System 13.2 Graphing Linear Equations in Two Variables 13.3 The Slope of a Line 13.4 Writing and Graphing Equations of Lines 13.5 Graphing Linear Inequalities in Two Variables 13.6 Introduction to Relations and Functions 13.7 Function Notation and Linear Functions 14. Systems of Linear Equations and Inequalities 14.1 Solving Systems of Linear Equations by Graphing 14.2 Solving Systems of Linear Equations by Substitution 14.3 Solving Systems of Linear Equations by Elimination 14.4 Applications of Linear Systems 14.5 Solving Systems of Linear Inequalities 15. Exponents and Polynomials 15.1 Adding and Subtracting Polynomials 15.2 The Product Rule and Power Rules for Exponents 15.3 Multiplying Polynomials 15.4 Special Products 15.5 Integer Exponents and the Quotient Rule 15.6 Dividing a Polynomial by a Monomial 15.7 Dividing a Polynomial by a Polynomial 15.8 An Application of Exponents: Scientific Notation 16. Factoring and Applications 16.1 Factors; The Greatest Common Factor 16.2 Factoring Trinomials 16.3 Factoring Trinomials by Grouping 16.4 Factoring Trinomials by Using the FOIL Method 16.5 Special Factoring Techniques 16.6 A General Approach to Factoring 16.7 Solving Quadratic Equations by Factoring 16.8 Applications of Quadratic Equations 17. Rational Expressions and Functions 17.1 Rational Expressions and Functions; Multiplying and Dividing 17.2 Adding and Subtracting Rational Expressions 17.3 Complex Fractions 17.4 Equations with Rational Expressions and Graphs 17.5 Applications of Rational Expressions 17.6 Variation 18. Equations, Inequalities, and Systems Revisited 18.1 Review of Solving Linear Equations and Inequalities 18.2 Set Operations and Compound Inequalities 18.3 Absolute Value Equations and Inequalities 18.4 Review of Systems of Linear Equations in Two Variables 18.5 Systems of Linear Equations in Three Variables; Applications 19. Roots, Radicals, and Root Functions 19.1 Radical Expressions and Graphs 19.2 Rational Exponents 19.3 Simplifying Radical Expressions 19.4 Adding and Subtracting Radical Expressions 19.5 Multiplying and Dividing Radical Expressions 19.6 Solving Equations with Radicals 19.7 Complex Numbers 20. Quadratic Equations, Inequalities, and Functions 20.1 Solving Quadratic Equations by the Square Root Property 20.2 Solving Quadratic Equations by Completing the Square 20.3 Solving Quadratic Equations by the Quadratic Formula 20.4 Equations Quadratic in Form 20.5 Formulas and Applications 20.6 Graphs of Quadratic Functions 20.7 More about Parabolas and Their Applications 20.8 Polynomial and Rational Inequalities 21. Inverse, Exponential, and Logarithmic Functions 21.1 Operations on Functions and Composition 21.2 Inverse Functions 21.3 Exponential Functions 21.4 Logarithmic Functions 21.5 Properties of Logarithms 21.6 Common and Natural Logarithms 21.7 Exponential and Logarithmic Equations and Their Applications 22. Nonlinear Functions, Conic Sections, and Nonlinear Systems 22.1 Additional Graphs of Functions; Operations and Composition 22.2 The Circle and the Ellipse 22.3 The Hyperbola and Other Functions Defined by Radicals 22.4 Nonlinear Systems of Equations 22.5 Second-Degree Inequalities and Systems of Inequalities Appendix A. Inductive and Deductive Reasoning Appendix B. Solving Systems of Linear Equations by Matrix Methods Appendix C. Synthetic Division Table of Contents
Get Basic Math, Introductory and Intermediate Algebra by Margaret L. Lial, American River College John Hornsby, University of New Orleans Terry McGinnis Stanley A. Salzman, American River College Diana L. Hestwood, Minneapolis Community & Technical College
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