Intermediate Algebra

by Martin-Gay, Elayn

• ISBN13: 9780131868304
• ISBN10: 0131868306
• Edition: 3rd
• Format: Paperback
• Copyright: 2007-01-01
• Publisher: Prentice Hall

Summary

You can succeed in math with the clearly explained concepts, problem-solving strategies, and study skills help found in Intermediate Algebra, Third Edition by Elayn Martin-Gay. Good study skills are essential to your success in mathematics. This text features Study Skill Builders to help make sure you are getting the most from the time you spend doing homework and studying.

Table of Contents

Tools to Help Students Succeed	ix
Additional Resources to Help You Succeed	xi
Preface	xiii
Applications Index	xxiii
Real Numbers and Algebraic Expressions	1	(68)
Tips for Success in Mathematics	2	(5)
Algebraic Expressions and Sets of Numbers	7	(8)
Equations, Inequalities, and Properties of Real Numbers	15	(8)
Operations on Real Numbers	23	(11)
Integrated Review--Real Numbers	32	(2)
Order of Operations and Algebraic Expressions	34	(9)
Exponents and Scientific Notation	43	(9)
More Work with Exponents and Scientific Notation	52	(17)
Group Activity: Geometry Investigations	58	(1)
Vocabulary Check	59	(1)
Highlights	59	(3)
Review	62	(5)
Test	67	(2)
Equations, Inequalities, and Problem Solving	69	(84)
Linear Equations in One Variable	70	(12)
An Introduction to Problem Solving	82	(13)
Formulas and Problem Solving	95	(8)
Linear Inequalities and Problem Solving	103	(15)
Integrated Review--Linear Equations and Inequalities	116	(2)
Sets and Compound Inequalities	118	(9)
Absolute Value Equations and Inequalities	127	(26)
Group Activity: Nutrition Labels	138	(1)
Vocabulary Check	139	(1)
Highlights	139	(5)
Review	144	(5)
Test	149	(2)
Cumulative Review	151	(2)
Graphs and Functions	153	(104)
Graphing Linear Equations	154	(16)
The Slope of a Line	170	(13)
The Slope-Intercept Form	183	(8)
More Equations of Lines	191	(11)
Integrated Review---Linear Equations in Two Variables	200	(2)
Graphing Linear Inequalities	202	(7)
Introduction to Functions	209	(12)
Finding Domains and Ranges from Graphs and Graphing Piecewise-Defined Functions	221	(7)
Shifting and Reflecting Graphs of Functions	228	(29)
Group Activity: Linear Modeling	236	(1)
Vocabulary Check	237	(1)
Highlights	237	(5)
Review	242	(8)
Test	250	(4)
Cumulative Review	254	(3)
Systems of Equations and Inequalities	257	(61)
Solving Systems of Linear Equations in Two Variables	258	(13)
Solving Systems of Linear Equations in Three Variables	271	(8)
Systems of Linear Equations and Problem Solving	279	(14)
Integrated Review---Systems of Linear Equations	292	(1)
Solving Systems of Equations Using Matrices	293	(7)
Systems of Linear Inequalities	300	(18)
Group Activity: Another Mathematical Model	304	(1)
Vocabulary Check	305	(1)
Highlights	305	(5)
Review	310	(4)
Test	314	(2)
Cumulative Review	316	(2)
Polynomials and Polynomial Functions	318	(84)
Polynomial Functions and Adding and Subtracting Polynomials	319	(11)
Multiplying Polynomials	330	(9)
Dividing Polynomials and Synthetic Division	339	(10)
The Greatest Common Factor and Factoring by Grouping	349	(7)
Factoring Trinomials	356	(9)
Factoring by Special Products	365	(9)
Integrated Review--Operations on Polynomials and Factoring Strategies	372	(2)
Solving Equations by Factoring and Solving Problems	374	(28)
Group Activity: Finding the Largest Area	388	(1)
Vocabulary Check	389	(3)
Highlights	392	(1)
Review	392	(5)
Test	397	(2)
Cumulative Review	399	(3)
Rational Expressions	402	(75)
Rational Functions and Multiplying and Dividing Rational Expressions	403	(13)
Adding and Subtracting Rational Expressions	416	(9)
Simplifying Complex Fractions	425	(8)
Solving Equations Containing Rational Expressions	433	(11)
Integrated Review--Expressions and Equations Containing Rational Expressions	442	(2)
Rational Equations and Problem Solving	444	(11)
Variation and Problem Solving	455	(22)
Group Activity: Fastest-Growing Occupations	464	(1)
Vocabulary Check	465	(1)
Highlights	465	(3)
Review	468	(4)
Test	472	(2)
Cumulative Review	474	(3)
Rational Exponents, Radicals, and Complex Numbers	477	(75)
Radical Expressions and Radical Functions	478	(8)
Rational Exponents	486	(7)
Simplifying Radical Expressions	493	(9)
Adding, Subtracting, and Multiplying Radical Expressions	502	(7)
Rationalizing Numerators and Denominators of Radical Expressions	509	(10)
Integrated Review--Radicals and Rational Exponents	517	(2)
Radical Equations and Problem Solving	519	(12)
Complex Numbers	531	(21)
Group Activity: Heron of Alexandria	538	(1)
Vocabulary Check	539	(1)
Highlights	539	(4)
Review	543	(4)
Test	547	(2)
Cumulative Review	549	(3)
Quadratic Equations and Functions	552	(82)
Solving Quadratic Equations by Completing the Square	553	(12)
Solving Quadratic Equations by Using the Quadratic Formula	565	(13)
Solving Equations by Using Quadratic Methods	578	(12)
Integrated Review---Summary on Solving Quadratic Equations	588	(2)
Nonlinear Inequalities in One Variable	590	(9)
Quadratic Functions and Their Graphs	599	(11)
Further Graphing of Quadratic Functions	610	(24)
Group Activity: Recognizing Linear and Quadratic Models	620	(1)
Vocabulary Check	621	(1)
Highlights	621	(4)
Review	625	(4)
Test	629	(2)
Cumulative Review	631	(3)
Exponential and Logarithmic Functions	634	(77)
The Algebra of Functions	635	(7)
Inverse Functions	642	(11)
Exponential Functions	653	(10)
Logarithmic Functions	663	(8)
Properties of Logarithms	671	(8)
Integrated Review---Functions and Properties of Logarithms	677	(2)
Common Logarithms, Natural Logarithms, and Change of Base	679	(7)
Exponential and Logarithmic Equations and Problem Solving	686	(25)
Group Activity: Sound Intensity	694	(1)
Vocabulary Check	695	(1)
Highlights	695	(4)
Review	699	(6)
Test	705	(3)
Cumulative Review	708	(3)
Conic Sections	711	(55)
The Parabola and the Circle	712	(14)
The Ellipse and the Hyperbola	726	(12)
Integrated Review--Graphing Conic Sections	736	(2)
Solving Nonlinear Systems of Equations	738	(7)
Nonlinear Inequalities and Systems of Inequalities	745	(21)
Group Activity: Modeling Conic Sections	751	(1)
Vocabulary Check	752	(1)
Highlights	752	(3)
Review	755	(5)
Test	760	(3)
Cumulative Review	763	(3)
Appendix A Fractions	766	(8)
Appendix B Solving Systems of Equations Using Determinants	774	(8)
Appendix C The Bigger Picture	782	(3)
Appendix D An Introduction to Using a Graphing Utility	785	(6)
Appendix E Stretching and Compressing Graphs of Absolute Value Functions	791	(3)
Appendix F Review of Angles, Lines, and Special Triangles	794
Answers to Selected Exercises	1	(42)
Solutions to Selected Exercises	43
Index	1	(8)
Photo Credits	9