Intermediate Algebra

by Martin-Gay, K. Elayn

• ISBN13: 9780130676672
• ISBN10: 0130676675
• Edition: 2nd
• Format: Paperback
• Copyright: 2003-01-01
• Publisher: Pearson College Div

Summary

The engaging Martin-Gay workbook series presents a user-friendly approach to the concepts of basic math and algebra, giving readers ample opportunity to practice skills and see how those skills relate to both their lives and the real world. The goals of the workbooks are to build confidence, increase motivation, and encourage mastery of basic skills and concepts. Martin-Gay enhances users' perception of math by exposing them to real-life situations through graphs and applications; and ensures that readers have an organized, integrated learning system at their fingertips. The integrated learning resources program features book-specific supplements including Martin-Gay's acclaimed tutorial videotapes, CD videos, and MathPro 5. This book includes key topics in algebra such as linear equations and inequalities, systems of equations, polynomial functions and equations, quadratic functions and equations, exponential functions and equations, logarithmic functions an equations, and rational and radical expressions. For professionals who wish to brush up on their algebra skills.

Table of Contents

Preface	vii
Real Numbers and Algebraic Expressions	1	(78)
Chapter 1 Pretest	2	(1)
Tips for Success in Mathematics	3	(6)
Sets of Numbers	9	(10)
Properties of Real Numbers	19	(10)
Operations on Real Numbers	29	(12)
Integrated Review---Real Numbers	39	(2)
Order of Operations and Algebraic Expressions	41	(8)
Exponents and Scientific Notation	49	(10)
More Work with Exponents and Scientific Notation	59	(20)
Activity: Searching for Patterns	66	(1)
Chapter 1 Vocabulary Check	67	(1)
Chapter 1 Highlights	67	(4)
Chapter 1 Review	71	(6)
Chapter 1 Test	77	(2)
Equations, Inequalities, and Problem Solving	79	(88)
Chapter 2 Pretest	80	(1)
Linear Equations in One Variable	81	(10)
An Introduction to Problem Solving	91	(14)
Formulas and Problem Solving	105	(10)
Linear Inequalities and Problem Solving	115	(16)
Integrated Review--Linear Equations and Inequalities	129	(2)
Sets and Compound Inequalities	131	(8)
Absolute Value Equations and Inequalities	139	(28)
Activity: Room Redecorating	150	(1)
Chapter 2 Vocabulary Check	151	(1)
Chapter 2 Highlights	151	(6)
Chapter 2 Review	157	(6)
Chapter 2 Test	163	(2)
Cumulative Review	165	(2)
Graphs and Functions	167	(90)
Chapter 3 Pretest	168	(1)
Graphing Linear Equations	169	(16)
The Slope of a Line	185	(12)
The Slope-Intercept Form	197	(8)
More Equations of Lines	205	(12)
Integrated Review--Linear Equations in Two Variables	215	(2)
Introduction to Functions	217	(14)
Graphing Linear Inequalities	231	(26)
Activity: Measuring Slope	238	(1)
Chapter 3 Vocabulary Check	239	(1)
Chapter 3 Highlights	239	(6)
Chapter 3 Review	245	(6)
Chapter 3 Test	251	(4)
Cumulative Review	255	(2)
Systems of Equations and Inequalities	257	(68)
Chapter 4 Pretest	258	(1)
Solving Systems of Linear Equations in Two Variables	259	(14)
Solving Systems of Linear Equations in Three Variables	273	(8)
Systems of Linear Equations and Problem Solving	281	(16)
Integrated Review--Systems of Linear Equations	295	(2)
Solving Systems of Equations Using Matrices	297	(6)
Systems of Linear Inequalities	303	(22)
Activity: Locating Lightning Strikes	310	(1)
Chapter 4 Vocabulary Check	311	(1)
Chapter 4 Highlights	311	(6)
Chapter 4 Review	317	(4)
Chapter 4 Test	321	(2)
Cumulative Review	323	(2)
Polynomials and Polynomial Functions	325	(96)
Chapter 5 Pretest	326	(1)
Adding and Subtracting Polynomials	327	(12)
Multiplying Polynomials	339	(10)
Dividing Polynomials	349	(10)
The Greatest Common Factor and Factoring by Grouping	359	(8)
Factoring Trinomials	367	(10)
Factoring by Special Products	377	(10)
Integrated Review--Operations on Polynomials and Factoring Strategies	385	(2)
Solving Equations by Factoring and Solving Problems	387	(10)
An Introduction to Graphing Polynomial Functions	397	(24)
Activity: Finding the Largest Area	406	(1)
Chapter 5 Vocabulary Check	407	(1)
Chapter 5 Highlights	407	(4)
Chapter 5 Review	411	(6)
Chapter 5 Test	417	(2)
Cumulative Review	419	(2)
Rational Expressions	421	(80)
Chapter 6 Pretest	422	(1)
Multiplying and Dividing Rational Expressions	423	(12)
Adding and Subtracting Rational Expressions	435	(10)
Simplifying Complex Fractions	445	(8)
Solving Equations Containing Rational Expressions	453	(10)
Integrated Review--Expressions and Equations Containing Rational Expressions	461	(2)
Rational Equations and Problem Solving	463	(12)
Variation and Problem Solving	475	(26)
Activity: Estimating Population Sizes	485	(2)
Chapter 6 Vocabulary Check	487	(1)
Chapter 6 Highlights	487	(4)
Chapter 6 Review	491	(6)
Chapter 6 Test	497	(2)
Cumulative Review	499	(2)
Rational Exponents, Radicals, and Complex Numbers	501	(84)
Chapter 7 Pretest	502	(1)
Radical Expressions	503	(10)
Rational Exponents	513	(8)
Simplifying Radical Expressions	521	(8)
Adding, Subtracting, and Multiplying Radical Expressions	529	(8)
Rationalizing Numerators and Denominators of Radical Expressions	537	(12)
Integrated Review--Radicals and Rational Exponents	547	(2)
Radical Equations and Problem Solving	549	(12)
Complex Numbers	561	(24)
Activity: Calculating the Length and Period of a Pendulum	570	(1)
Chapter 7 Vocabulary Check	571	(1)
Chapter 7 Highlights	571	(4)
Chapter 7 Review	575	(6)
Chapter 7 Test	581	(2)
Cumulative Review	583	(2)
Quadratic Equations and Functions	585	(84)
Chapter 8 Pretest	586	(1)
Solving Quadratic Equations by Completing the Square	587	(12)
Solving Quadratic Equations by Using the Quadratic Formula	599	(12)
Solving Equations by Using Quadratic Methods	611	(14)
Integrated Review--Summary on Solving Quadratic Equations	623	(2)
Nonlinear Inequalities in One Variable	625	(8)
Quadratic Functions and Their Graphs	633	(12)
Further Graphing of Quadratic Functions	645	(24)
Activity: Recognizing Linear and Quadratic Models	656	(1)
Chapter 8 Vocabulary Check	657	(1)
Chapter 8 Highlights	657	(4)
Chapter 8 Review	661	(4)
Chapter 8 Test	665	(2)
Cumulative Review	667	(2)
Conic Sections	669	(66)
Chapter 9 Pretest	670	(1)
The Parabola and the Circle	671	(16)
The Ellipse and the Hyperbola	687	(12)
Integrated Review--Graphing Conic Sections	697	(2)
Graphing Nonlinear Functions	699	(6)
Solving Nonlinear Systems of Equations	705	(6)
Nonlinear Inequalities and Systems of Inequalities	711	(24)
Activity: Modeling Conic Sections	718	(1)
Chapter 9 Vocabulary Check	719	(1)
Chapter 9 Highlights	719	(4)
Chapter 9 Review	723	(6)
Chapter 9 Test	729	(4)
Cumulative Review	733	(2)
Exponential and Logarithmic Functions	735	(84)
Chapter 10 Pretest	736	(1)
The Algebra of Functions	737	(6)
Inverse Functions	743	(12)
Exponential Functions	755	(10)
Logarithmic Functions	765	(10)
Properties of Logarithms	775	(10)
Integrated Review--Functions and Properties of Logarithms	783	(2)
Common Logarithms, Natural Logarithms, and Change of Base	785	(8)
Exponential and Logarithmic Equations and Problem Solving	793	(26)
Activity: Modeling Temperature	802	(1)
Chapter 10 Vocabulary Check	803	(1)
Chapter 10 Highlights	803	(4)
Chapter 10 Review	807	(6)
Chapter 10 Test	813	(4)
Cumulative Review	817	(2)
Appendix A An Introduction to Using a Graphing Utility	819	(6)
Appendix B Solving Systems of Equations Using Determinants	825	(8)
Appendix C Fractions	833	(8)
Appendix D Review of Angles, Lines, and Special Triangles	841	(8)
Appendix E Review of Geometric Figures	849
Answers to Selected Exercises	A1
Solutions to Selected Exercises	A43
Index	I1
Photo Credits	I8

Excerpts

About This Book Algebra A Combined Approach,Second Edition is intended for a two semester course in introductory and intermediate algebra. It was written to provide a solid foundationin algebra for students who might have had no previous experience in algebra. Specific care was taken to ensure that students have the most up-to-date relevanttext preparation for their next mathematics course or for nonmathematical courses that require an understanding of algebraic fundamentals. I have tried to achieve this by writing a user-friendly text that is keyed to objectives and contains many worked-out examples. As suggested by the AMATYC Crossroads Document and the NCTM Standards (plus Addenda), real-life and real-data applications, data interpretation, conceptual understanding, problem solving, writing, cooperative learning, appropriate use of technology, mental mathematics, number sense, critical thinking, and geometric concepts are emphasized and integrated throughout the book. The many factors that contributed to the success of the first edition have been retained. In preparing the Second Edition, I considered comments and suggestions of colleagues, students, and many users of the prior edition throughout the country. Algebra A Combined Approach,Second Edition is part of a series of texts that can include Basic College Mathematics,Second Edition; Prealgebra,Third Edition; Introductory Algebra,Second Edition; and Intermediate Algebra,Second Edition. Throughout the series pedagogical features are designed to develop student proficiency in algebra and problem solving, and to prepare students for future courses.