Prealgebra and Introductory Algebra
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Prealgebra and Introductory Algebra

Prealgebra and Introductory Algebra

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About the Book

The Lial Series has helped thousands of students succeed in developmental mathematics by providing the best learning and teaching support to students and instructors.

Table of Contents:
1. Introduction to Algebra: Integers Study Skills: Your Brain Can Learn Mathematics 1.1 Place Value             Study Skills: Using Your Textbook 1.2 Introduction to Integers             Study Skills: Homework: How, Why, and When 1.3 Adding Integers 1.4 Subtracting Integers 1.5 Problem Solving: Rounding and Estimating 1.6 Multiplying Integers 1.7 Dividing Integers             Summary Exercises on Operations with Integers Study Skills: Taking Lecture Notes 1.8 Exponents and Order of Operations             Study Skills: Reviewing a Chapter             Study Skills: Managing Your Time   2. Understanding Variables and Solving Equations 2.1 Introduction to Variables             Study Skills: Using Study Cards 2.2 Simplifying Expressions             Study Skills: Using Study Cards Revisited Summary Exercises on Variables and Expressions 2.3 Solving Equations Using Addition 2.4 Solving Equations Using Division 2.5 Solving Equations with Several Steps             Study Skills: Tips for Taking Math Tests   3. Solving Application Problems 3.1 Problem Solving: Perimeter 3.2 Problem Solving: Area             Summary Exercises on Perimeter and Area 3.3 Solving Application Problems with One Unknown Quantity 3.4 Solving Application Problems with Two Unknown Quantities             Study Skills: Tips for Improving Test Scores             Math in the Media: Formulas: Predicting a Young Child's Vocabulary   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             Study Skills: Making a Mind Map 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             Study Skills: Analyzing Your Test Results   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, and Mode 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   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   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 Study Skills: Preparing for Your Final Exam   8. Measurement 8.1 Problem Solving with U.S. Measurement Units 8.2 The Metric System-Length 8.3 The Metric System-Capacity and Weight (Mass)             Summary Exercises on U.S. and Metric Measurement Units 8.4 Problem Solving with Metric Measurements 8.5 Metric-U.S. Measurement Conversions and Temperature   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   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 Inequalities   11. Graphs of Linear Equations and Inequalities in Two Variables 11.1 Linear Equations in Two Variables; The Rectangular Coordinate System 11.2 Graphing Linear Equations in Two Variables 11.3 The Slope of a Line 11.4 Writing and Graphing Equations of Lines Summary Exercises: Applying Graphing and Equation-Writing Techniques for Lines 11.5 Graphing Linear Inequalities in Two Variables   12. Systems of Equations and Inequalities 12.1 Solving Systems of Linear Equations by Graphing 12.2 Solving Systems of Linear Equations by Substitution 12.3 Solving Systems of Linear Equations by Elimination Summary Exercises: Applying Techniques for Solving Systems of Linear Equations 12.4 Application of Linear Systems 12.5 Solving Systems of Linear Inequalities   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: Applying 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   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: Recognizing and Applying Factoring Strategies 14.6 Solving Quadratic Equations by Factoring 14.7 Applications of Quadratic Equations   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: Simplifying Rational Expressions vs. Solving Rational Equations 15.7 Applications of Rational Expressions 15.8 Variation   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: Applying Operations with Radicals 16.6 Solving Equations with Radicals   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: Applying Methods for Solving Quadratic Equations 17.4 Graphing Quadratic Equations 17.5 Introduction to Functions   R. Whole Numbers Review R.1 Adding Whole Numbers R.2 Subtracting Whole Numbers R.3 Multiplying Whole Numbers R.4 Dividing Whole Numbers R.5 Long Division   Appendix A: Inductive and Deductive Reasoning Appendix B: Set Operations and Compound Inequalities* Appendix C: Absolute Value Equations and Inequalities* Appendix D: Writing Equations of Parallel and Perpendicular Lines* Appendix E: Factoring Sums and Differences Cubes* Appendix F: The Distance and Midpoint Formulas* Appendix G: Rational Exponents*   *Available in MyMathLab®  


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Product Details
  • ISBN-13: 9780321859228
  • Publisher: Pearson Education (US)
  • Publisher Imprint: Pearson
  • Height: 10 mm
  • No of Pages: 1344
  • Spine Width: 10 mm
  • Width: 10 mm
  • ISBN-10: 0321859227
  • Publisher Date: 29 Jan 2013
  • Binding: Paperback
  • Language: English
  • Returnable: N
  • Weight: 2458 gr


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Prealgebra and Introductory Algebra
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