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Prealgebra and Introductory Algebra, 3e, c. 2010 Lial/Hestwood/Hornsby/McGinnis Index of Focus on Real-Data Applications Preface To The Student Diagnostic Pretest Chapter 1: Introduction to Algebra: Integers 1.1 Place Value 1.2 Introduction to Signed Numbers 1.3 Adding Integers 1.4 Subtracting Integers 1.5 Problem Solving: Rounding and Estimating 1.6 Multiplying Integers 1.7 Dividing Integers 1.8 Exponents and Order of Operations Summary Exercises on Operations with Integers Summary Review Exercises Test Chapter 2: Understanding Variables and Solving Equations 2.1 Introduction to Variables 2.2 Simplifying Expressions 2.3 Solving Equations Using Addition 2.4 Solving Equations Using Division 2.5 Solving Equations with Several Steps Summary Review Exercises Test Chapter 3: Solving Application Problems 3.1 Problem Solving: Perimeter 3.2 Problem Solving: Area 3.3 Solving Application Problems with One Unknown Quantity 3.4 Solving Application Problems with Two Unknown Quantities Summary Review Exercises Test Chapter 4: Rational Numbers: Positive and Negative Fractions 4.1 Introduction to Signed Fractions 4.2 Writing Fractions in Lowest Terms 4.3 Multiplying and Dividing Signed Fractions 4.4 Adding and Subtracting Signed Fractions 4.5 Problem Solving: Mixed Numbers and Estimating Summary Exercises on Fractions 4.6 Exponents, Order of Operations, and Complex Fractions 4.7 Problem Solving: Equations Containing Fractions 4.8 Geometry Applications: Area and Volume Summary Review Exercises Test Chapter 5: Rational Numbers: Positive and Negative Decimals 5.1 Reading and Writing Decimal Numbers 5.2 Rounding Decimal Numbers 5.3 Adding and Subtracting Signed Decimal Numbers 5.4 Multiplying Signed Decimal Numbers 5.5 Dividing Signed Decimal Numbers Summary Exercises on Decimals 5.6 Fractions and Decimals 5.7 Problem Solving with Statistics: Mean, Median, Mode, and Variability 5.8 Geometry Applications: Pythagorean Theorem and Square Roots 5.9 Problem Solving: Equations Containing Decimals 5.10 Geometry Applications: Circles, Cylinders, and Surface Area Summary Review Exercises Test Chapter 6: Ratio, Proportion, and Line/Angle/Triangle Relationships 6.1 Ratios 6.2 Rates 6.3 Proportions Summary Exercises on Ratios, Rates, and Proportions 6.4 Problem Solving with Proportions 6.5 Geometry: Lines and Angles 6.6 Geometry Applications: Congruent and Similar Triangles Summary Review Exercises Test Chapter 7: Percent 7.1 The Basics of Percent 7.2 The Percent Proportion 7.3 The Percent Equation Summary Exercises on Percent 7.4 Problem Solving with Percent 7.5 Consumer Applications: Sales Tax, Tips, Discounts, and Simple Interest Summary Review Exercises Test Chapter 8: Measurement 8.1 Problem Solving with English Measurements 8.2 The Metric System ? Length 8.3 The Metric System ? Capacity and Weight (Mass) 8.4 Problem Solving with Metric Measurements 8.5 Metric ? English Conversions and Temperature Summary Review Exercises Test Chapter 9: Graphs 9.1 Problem Solving with Tables and Pictographs 9.2 Reading and Constructing Circle Graphs 9.3 Bar Graphs and Line Graphs 9.4 The Rectangular Coordinate System 9.5 Introduction to Graphing Linear Equations Summary Review Exercises Test Chapter 10: Real Numbers, Equations, and Inequalities 10.1 Real Numbers and Expressions 10.2 More on Solving Linear Equations 10.3 Formulas and Solving for a Specified Variable 10.4 Solving Linear Equations Summary Review Exercises Test Chapter 11: Graphs of Linear Equations and Inequalities in Two Variables 11.1 Reading Graphs; Linear Equations in Two Variables 11.2 Graphing Linear Equations in Two Variables 11.3 Slope of a Line 11.4 Equations of Lines Summary Exercises on Graphing Linear Equations 11.5 Graphing Linear Inequalities in Two Variables Summary Review Exercises Test Chapter 12: Systems of Linear Equations and Inequalities 12.1 Solving Systems of Linear Equations by Graphing 12.2 Solving Systems of Linear Equation by Substitution 12.3 Solving Systems of Linear Equations by Elimination Summary Exercises on Solving Systems of Linear Equations 12.4 Applications of Linear Systems 12.5 Solving Systems of Linear Inequalities Summary Review Exercises Test Chapter 13: Exponents and Polynomials 13.1 Adding and Subtracting Polynomials 13.2 The Product Rule and Power Rules for Exponents 13.3 Multiplying Polynomials 13.4 Special Products 13.5 Integer Exponents and the Quotient Rule Summary Exercises on the Rules for Exponents 13.6 Dividing a Polynomial by a Monomial 13.7 Dividing a Polynomial by a Polynomial 13.8 An Application of Exponents: Scientific Notation Summary Review Exercises Test Chapter 14: Factoring and Applications 14.1 Factors; The Greatest Common Factor 14.2 Factoring Trinomials 14.3 Factoring Trinomials by Grouping 14.4 Factoring Trinomials Using FOIL 14.5 Special Factoring Techniques Summary Exercises on the Rule for Exponents 14.6 Solving Quadratic Equations by Factoring 14.7 Applications of Quadratic Equations Summary Review Exercises Test Chapter 15: Rational Expressions and Applications 15.1 The Fundamental Property of Rational Expressions 15.2 Multiplying and Dividing Rational Expressions 15.3 Least Common Denominators 15.4 Adding and Subtracting Rational Expressions 15.5 Complex Fractions 15.6 Solving Equations with Rational Expressions Summary Exercises on Rational Expressions and Equations 15.7 Applications of Rational Expressions 15.8 Variation Summary Review Exercises Test Chapter 16: Roots and Radicals 16.1 Evaluating Roots 16.2 Multiplying, Dividing, and Simplifying Radicals 16.3 Adding and Subtracting Radicals 16.4 Rationalizing the Denominator 16.5 More Simplifying and Operations with Radicals Summary Exercises on Operations with Radicals 16.6 Solving Equations with Radicals Summary Review Exercises Test Chapter 17: Quadratic Equations 17.1 Solving Quadratic Equations by the Square Root Property 17.2 Solving Quadratic Equations by Completing the Square 17.3 Solving Quadratic Equations by the Quadratic Formula Summary Exercises on Quadratic Equations 17.4 Graphing Quadratic Functions 17.5 Introduction to Functions Summary Review Exercises Test
Library of Congress Subject Headings for this publication:
Algebra -- Textbooks.