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Introductory Algebra: Everyday Explorations

Synopses & Reviews

Publisher Comments:

If you've ever wondered, "What is algebra good for?" Alice Kaseberg will help you answer this age-old question with her respected text. INTRODUCTORY ALBEGRA, FOURTH EDITION, uses guided discovery, explorations, and problem solving to help you learn new concepts and strengthen the retention of new skills. Known for an informal, interactive style that makes algebra more accessible while maintaining mathematical accuracy, INTRODUCTORY ALGEBRA: EVERYDAY EXPLORATIONS, FOURTH EDITION, includes a host of learning tools that work together to help you succeed. A robust website and Enhanced WebAssign support you with practice problems, end-of-chapter problems that incorporate figures and examples, and quizzes that provide immediate feedback on your progress.

Table of Contents

CHAPTER 1 ALGEBRAIC REPRESENTATIONS. 1.1 Problem-Solving Steps and Strategies. 1.2 Numeric Representations. 1.3 Verbal Representations. Mid-Chapter Test. 1.4 Symbolic Representations. 1.5 Visual Representations: Rectangular Coordinate Graphs. Chapter Summary. Review Exercises. Chapter Test. CHAPTER 2 OPERATIONS WITH REAL NUMBERS AND EXPRESSIONS. 2.1 Addition and Subtraction with Integers. 2.2 Multiplication and Division with Positive and Negative Numbers. 2.3 Properties of Real Numbers Applied to Simplifying Algebraic Fractions and Adding Like Terms. Mid-Chapter Test. 2.4 Exponents and Order of Operations. 2.5 Unit Analysis and Formulas. 2.6 Inequalities, Intervals, and Line Graphs. Chapter Summary. Review Exercises. Chapter Test. Cumulative Review of Chapters 1 and 2. CHAPTER 3 SOLVING EQUATIONS AND INEQUALITIES IN ONE VARIABLE. 3.1 Linear Equations in One and Two Variables. 3.2 Solving Equations with Algebraic Notation. 3.3 Solving Equations with Tables, Graphs, and Algebraic Notation. Mid-Chapter Test. 3.4 Solving Linear Equations with Variables on Both Sides of the Equation. 3.5 Solving Linear Inequalities in One Variable. Chapter Summary. Review Exercises. Chapter Test. Cumulative Review of Chapters 1 to 3. CHAPTER 4 FORMULAS, FUNCTIONS, LINEAR EQUATIONS, AND INEQUALITIES IN TWO VARIABLES. 4.1 Formulas. 4.2 Functions and Graphs. 4.3 Linear Functions: Slope and Rate of Change. Mid-Chapter Test. 4.4 Linear Functions: Intercepts and Slope. 4.5 Linear Equations. 4.6 Inequalities in Two Variables. Chapter Summary. Review Exercises. Chapter Test. Cumulative Review of Chapters 1 to 4. CHAPTER 5 RATIOS, RATES, AND PROPORTIONAL REASONING. 5.1 Ratios, Percents, and Rates. 5.2 Proportions and Proportional Reasoning. 5.3 Proportions in Similar Figures and Similar Triangles. Mid-Chapter Test. 5.4 Averages. 5.5 Writing Equations from Word Problems with Quantity-Rate Tables. Chapter Summary. Review Exercises. Chapter Test. Cumulative Review of Chapters 1 to 5. CHAPTER 6 SYSTEMS OF EQUATIONS AND INEQUALITIES. 6.1 Solving Systems of Equations with Graphs. 6.2 Setting Up Systems of Equations 6.3 Solving Systems of Equations by Substitution. Mid-Chapter Test. 6.4 Solving Systems of Equations by Elimination. 6.5 Solving Systems of Equations in Three Variables. 6.6 Solving Systems of Linear Equations by Graphing. Chapter Summary. Review Exercises. Chapter Test. Cumulative Review for Chapters 1 to 6. CHAPTER 7 POLYNOMIAL EXPRESSIONS AND INTEGER EXPONENTS. 7.1 Operations on Polynomials. 7.2 Multiplication of Binomials and Special Products. 7.3 Factoring Trinomials. Mid-Chapter Test. 7.4 Factoring Special Products and Greatest Common Factors. 7.5 Exponents. 7.6 Scientific Notation. Chapter Summary. Review Exercises. Chapter Test. Cumulative Review for Chapters 1 to 7. CHAPTER 8 SQUARES AND SQUARE ROOTS: EXPRESSIONS AND EQUATIONS. 8.1 Pythagorean Theorem. 8.2 Square Root Expressions and Properties and the Distance Formula. 8.3Solving Square Root Equations and Simplifying Expressions. Mid-Chapter Test. 8.4 Graphing and Solving Quadratic Equations. 8.5 Solving Quadratic Equations by Taking the Square Root or by Factoring. 8.6 Solving Quadratic Equations with the Quadratic Formula. 8.7 Range, Box and Whisker Plots, and Standard Deviation. Chapter Summary. Review Exercises. Chapter Test. Cumulative Review of Chapters 1 to 8. CHAPTER 9 RATIONAL EXPRESSIONS AND EQUATIONS. 9.1 Rational Functions: Graphs and Applications. 9.2 Simplifying Rational Expressions. 9.3 Multiplication and Division of Rational Expressions. Mid-Chapter Test. 9.4 Finding the Common Denominator and Addition and Subtraction of Rational Expressions. 9.5Solving Rational Equations. Chapter Summary. Review Exercises. Chapter Test. Final Exam Review. APPENDIX: GRAPHING CALCULATOR BASICS. ANSWERS TO SELECTED ODD-NUMBERED EXERCISES AND TESTS. INDEX OF APPLICATIONS. GLOSSARY/INDEX. AIE ADDITIONAL ANSWERS. AIE INDEX OF PROBLEM SOLVING AND PROJECT EXERCISES.

Product Details

ISBN:
9780495108412
Subtitle:
Everyday Explorations
Publisher:
Brooks Cole
Author:
Kaseberg, Alice
Subject:
Algebra - Elementary
Subject:
General Mathematics
Copyright:
Edition Number:
4
Publication Date:
20070126
Binding:
Hardback
Grade Level:
College/higher education:
Language:
English
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