Introductory and Intermediate Algebra for College Students

by Blitzer, Robert F; Blitzer, Robert F.

• ISBN13: 9780131492592
• ISBN10: 0131492594
• Edition: 2nd
• Format: Hardcover
• Copyright: 2006-01-01
• Publisher: Prentice Hall

Summary

Blitzer's mathematical rigor is combined with an engaging, friendly and often fun presentation for greater student appeal. Blitzer's exceptionally clear, accessible writing style combines the nuts and bolts students need with interesting and relevant examples.

Table of Contents

Preface	xi
To the Student	xx
About the Author	xxii
The Real Number System	1	(101)
Fractions	2	(15)
The Real Numbers	17	(11)
Ordered Pairs and Graphs	28	(9)
Basic Rules of Algebra	37	(14)
Mid-Chapter Check Point	49	(2)
Addition of Real Numbers	51	(8)
Subtraction of Real Numbers	59	(7)
Multiplication and Division of Real Numbers	66	(12)
Exponents, Order of Operations, and Mathematical Models	78	(24)
Group Project	92	(1)
Summary	92	(5)
Review Exercises	97	(3)
Chapter Test	100	(2)
Linear Equations and Inequalities in One Variable	102	(82)
The Addition Property of Equality	103	(8)
The Multiplication Property of Equality	111	(7)
Solving Linear Equations	118	(8)
Formulas and Percents	126	(12)
Mid-Chapter Check Point	137	(1)
An Introduction to Problem Solving	138	(11)
Problem Solving in Geometry	149	(12)
Solving Linear Inequalities	161	(23)
Group Project	173	(1)
Summary	174	(5)
Review Exercises	179	(2)
Chapter Test	181	(2)
Cumulative Review Exercises (Chapters 1--2)	183	(1)
Linear Equations in Two Variables	184	(61)
Graphing Equations in Two Variables	185	(12)
Graphing Linear Equations Using Intercepts	197	(11)
Slope	208	(8)
The Slope-Intercept Form of the Equation of a Line	216	(10)
Mid-Chapter Check Point	225	(1)
The Point-Slope Form of the Equation of a Line	226	(19)
Group Project	236	(1)
Summary	236	(4)
Review Exercises	240	(2)
Chapter Test	242	(2)
Cumulative Review Exercises (Chapters 1--3)	244	(1)
Systems of Linear Equations	245	(60)
Solving Systems of Linear Equations by Graphing	246	(9)
Solving Systems of Linear Equations by the Substitution Method	255	(8)
Solving Systems of Linear Equations by the Addition Method	263	(8)
Mid-Chapter Check Point	271	(1)
Problem Solving Using Systems of Equations	271	(15)
Systems of Linear Equations in Three Variables	286	(19)
Group Project	297	(1)
Summary	298	(3)
Review Exercises	301	(2)
Chapter Test	303	(1)
Cumulative Review Exercises (Chapters 1--4)	304	(1)
Exponents and Polynomials	305	(77)
Adding and Subtracting Polynomials	306	(9)
Multiplying Polynomials	315	(10)
Special Products	325	(9)
Polynomials in Several Variables	334	(8)
Mid-Chapter Check Point	341	(1)
Dividing Polynomials	342	(8)
Long Division of Polynomials; Synthetic Division	350	(12)
Negative Exponents and Scientific Notation	362	(20)
Group Project	375	(1)
Summary	375	(3)
Review Exercises	378	(2)
Chapter Test	380	(1)
Cumulative Review Exercises (Chapters 1--5)	381	(1)
Factoring Polynomials	382	(59)
The Greatest Common Factor and Factoring by Grouping	383	(8)
Factoring Trinomials Whose Leading Coefficient Is One	391	(8)
Factoring Trinomials Whose Leading Coefficient Is Not One	399	(8)
Mid-Chapter Check Point	407	(1)
Factoring Special Forms	407	(7)
A General Factoring Strategy	414	(9)
Solving Quadratic Equations by Factoring	423	(18)
Group Project	435	(1)
Summary	435	(2)
Review Exercises	437	(2)
Chapter Test	439	(1)
Cumulative Review Exercises (Chapters 1--6)	440	(1)
Rational Expressions	441	(89)
Rational Expressions and Their Simplification	442	(10)
Multiplying and Dividing Rational Expressions	452	(6)
Adding and Subtracting Rational Expressions with the Same Denominator	458	(8)
Adding and Subtracting Rational Expressions with Different Denominators	466	(12)
Mid-Chapter Check Point	477	(1)
Complex Rational Expressions	478	(7)
Solving Rational Equations	485	(10)
Applications Using Rational Equations and Proportions	495	(12)
Modeling Using Variation	507	(23)
Group Project	517	(1)
Summary	518	(5)
Review Exercises	523	(3)
Chapter Test	526	(1)
Cumulative Review Exercises (Chapters 1--7)	527	(1)
Mid-Textbook Check Point	528	(2)
Basics of Functions	530	(48)
Introduction to Functions	531	(15)
The Algebra of Functions	546	(11)
Mid-Chapter Check Point	556	(1)
Composite and Inverse Functions	557	(21)
Group Project	571	(1)
Summary	571	(2)
Review Exercises	573	(3)
Chapter Test	576	(1)
Cumulative Review Exercises (Chapters 1--8)	576	(2)
Inequalities and Problem Solving	578	(59)
Interval Notation and Business Applications Using Linear Inequalities	579	(13)
Compound Inequalities	592	(9)
Equations and Inequalities Involving Absolute Value	601	(9)
Mid-Chapter Check Point	609	(1)
Linear Inequalities in Two Variables	610	(11)
Linear Programming	621	(16)
Group Project	629	(1)
Summary	629	(4)
Review Exercises	633	(2)
Chapter Test	635	(1)
Cumulative Review Exercises (Chapters 1--9)	636	(1)
Radicals, Radical Functions, and Rational Exponents	637	(80)
Radical Expressions and Functions	638	(12)
Rational Exponents	650	(12)
Multiplying and Simplifying Radical Expressions	662	(8)
Adding, Subtracting, and Dividing Radical Expressions	670	(8)
Mid-Chapter Check Point	677	(1)
Multiplying with More Than One Term and Rationalizing Denominators	678	(12)
Radical Equations	690	(10)
Complex Numbers	700	(17)
Group Project	709	(1)
Summary	709	(4)
Review Exercises	713	(2)
Chapter Test	715	(1)
Cumulative Review Exercises (Chapters 1--10)	716	(1)
Quadratic Equations and Functions	717	(81)
The Square Root Property and Completing the Square; Distance and Midpoint Formulas	718	(17)
The Quadratic Formula	735	(15)
Quadratic Functions and Their Graphs	750	(18)
Mid-Chapter Check Point	767	(1)
Equations Quadratic in Form	768	(7)
Polynomial and Rational Inequalities	775	(23)
Group Project	788	(1)
Summary	789	(4)
Review Exercises	793	(3)
Chapter Test	796	(1)
Cumulative Review Exercises (Chapters 1--11)	797	(1)
Exponential and Logarithmic Functions	798	(74)
Exponential Functions	799	(13)
Logarithmic Functions	812	(13)
Properties of Logarithms	825	(11)
Mid-Chapter Check Point	835	(1)
Exponential and Logarithmic Equations	836	(12)
Exponential Growth and Decay; Modeling Data	848	(24)
Group Project	862	(1)
Summary	862	(3)
Review Exercises	865	(4)
Chapter Test	869	(1)
Cumulative Review Exercises (Chapters 1--12)	870	(2)
Conic Sections and Systems of Nonlinear Equations	872	(61)
The Circle	873	(7)
The Ellipse	880	(12)
The Hyperbola	892	(10)
Mid-Chapter Check Point	901	(1)
The Parabola; Identifying Conic Sections	902	(12)
Systems of Nonlinear Equations in Two Variables	914	(19)
Group Project	925	(1)
Summary	926	(3)
Review Exercises	929	(2)
Chapter Test	931	(1)
Cumulative Review Exercises (Chapters 1--13)	931	(2)
Sequences, Series, and Probability	933	(81)
Sequences and Summation Notation	934	(10)
Arithmetic Sequences	944	(10)
Geometric Sequences and Series	954	(16)
Mid-Chapter Check Point	969	(1)
The Binomial Theorem	970	(8)
Counting Principles, Permutations, and Combinations	978	(12)
Probability	990	(24)
Group Project	1004	(1)
Summary	1005	(4)
Review Exercises	1009	(2)
Chapter Test	1011	(2)
Cumulative Review Exercises (Chapters 1--14)	1013	(1)
Appendix A Matrix Solutions to Linear Systems	1014	(10)
Appendix B Determinants and Cramer's Rule	1024	(10)
Appendix C Where Did That Come From? Selected Proofs	1034
Answers to Selected Exercises	1	(1)
Applications Index	1	(1)
Subject Index	1	(1)
Photo Credits	1