Algebra for College Students

by Blitzer, Robert

• ISBN13: 9780137002122
• ISBN10: 0137002122
• Edition: 3rd
• Format: Hardcover
• Copyright: 1997-08-01
• Publisher: Pearson College Div

Summary

The material is presented in an interesting and inviting format that utilizes "real world" data and encourages modeling, critical thinking and problem solving.

Table of Contents

Preface	ix	(14)
To the Student	xxiii
CHAPTER 1 Algebra and Problem Solving	1	(128)
1.1 The Real Numbers and the Number Line	2	(15)
1.2 Operations with the Real Numbers and Algebraic Expressions	17	(12)
1.3 Graphing Equations	29	(15)
1.4 Properties of Integral Exponents	44	(13)
1.5 Scientific Notation	57	(8)
1.6 Solving Linear Equations	65	(12)
1.7 Mathematical Models	77	(12)
1.8 Strategies for Solving Problems	89	(24)
Chapter Project	113	(2)
Summary	115	(2)
Review Problems	117	(8)
Chapter Test	125	(4)
CHAPTER 2 Functions, Linear Functions, and Inequalities	129	(94)
2.1 Introduction to Functions	130	(15)
2.2 Linear Functions and Slope	145	(19)
2.3 The Point-Slope Equation of a Line	164	(11)
2.4 Solving Linear Inequalities	175	(9)
2.5 Compound Inequalities	184	(11)
2.6 Equations and Inequalities Involving Absolute Value	195	(8)
2.7 Linear Inequalities Containing Two Variables	203	(7)
Chapter Project	210	(2)
Summary	212	(2)
Review Problems	214	(5)
Chapter Test	219	(4)
CHAPTER 3 Systems of Linear Equations and Inequalities	223	(92)
3.1 Linear Systems of Equations in Two Variables	224	(16)
3.2 Problem Solving and Modeling Using Systems of Equations	240	(15)
3.3 Linear Systems of Equations in Three Variables	255	(14)
3.4 Matrix Solutions to Linear Systems	269	(12)
3.5 Solving Linear Systems of Equations Using Determinants and Cramer's Rule	281	(10)
3.6 Systems of Linear Inequalities and Linear Programming	291	(12)
Chapter Project	303	(2)
Summary	305	(2)
Review Problems	307	(3)
Chapter Test	310	(2)
Cumulative Review Problems (Chapters 1 - 3)	312	(3)
CHAPTER 4 Polynomials, Polynomial Functions, and Factoring	315	(96)
4.1 Introduction to Polynomials and Polynomial Functions	316	(15)
4.2 Multiplication of Polynomials	331	(15)
4.3 Greatest Common Factors and Factoring by Grouping	346	(7)
4.4 Factoring Trinomials	353	(14)
4.5 Factoring Special Forms	367	(9)
4.6 A General Factoring Strategy	376	(7)
4.7 Polynomial Equations, Modeling, and Problem Solving	383	(18)
Chapter Project	401	(2)
Summary	403	(1)
Review Problems	404	(3)
Chapter Test	407	(1)
Cumulative Review Problems (Chapters 1-4)	408	(3)
CHAPTER 5 Rational Expressions, Functions, and Equations	411	(90)
5.1 Rational Expressions and Functions: Multiplying and Dividing	412	(21)
5.2 Adding and Subtracting Rational Expressions	433	(14)
5.3 Dividing Polynomials	447	(12)
5.4 Rational Equations, Modeling, and Problem Solving	459	(19)
5.5 Modeling Using Variation	478	(13)
Chapter Project	491	(1)
Summary	492	(2)
Review Problems	494	(3)
Chapter Test	497	(1)
Cumulative Review Problems (Chapters 1-5)	498	(3)
CHAPTER 6 Radicals, Radical Functions, and Rational Exponents	501	(90)
6.1 Radicals and Radical Functions	502	(14)
6.2 Inverse Properties of nth Powers and nth Roots; Rational Exponents	516	(12)
6.3 Multiplying and Simplifying Radical Expressions	528	(7)
6.4 Dividing and Simplifying Radical Expressions	535	(10)
6.5 Further Operations with Radicals	545	(11)
6.6 Radical Equations	556	(10)
6.7 Imaginary and Complex Numbers	566	(15)
Chapter Project	581	(1)
Summary	582	(2)
Review Problems	584	(3)
Chapter Test	587	(1)
Cumulative Review Problems (Chapters 1-6)	588	(3)
CHAPTER 7 Quadratic Equations and Functions	591	(82)
7.1 Solving Quadratic Equations by the Square Root Method	592	(16)
7.2 Completing the Square and Graphs of Quadratic Functions	608	(12)
7.3 The Quadratic Formula	620	(17)
7.4 Problem Solving and Equations That Are Quadratic in Form	637	(13)
7.5 Solving Quadratic and Rational Inequalities	650	(12)
Chapter Project	662	(1)
Summary	663	(2)
Review Problems	665	(3)
Chapter Test	668	(2)
Cumulative Review Problems (Chapters 1-7)	670	(3)
CHAPTER 8 Exponential and Logarithmic Functions	673	(88)
8.1 Exponential Functions	674	(14)
8.2 Composite and Inverse Functions	688	(12)
8.3 Logarithmic Functions	700	(13)
8.4 Properties of Logarithmic Functions	713	(11)
8.5 Solving Exponential and Logarithmic Equations	724	(14)
8.6 Modeling with Exponential and Logarithmic Functions	738	(11)
Chapter Project	749	(2)
Summary	751	(1)
Review Problems	752	(5)
Chapter Test	757	(1)
Cumulative Review Problems (Chapters 1-8)	758	(3)
CHAPTER 9 Conic Sections and Nonlinear Systems of Equations	761	(50)
9.1 Conic Sections: Circles and Parabolas	762	(10)
9.2 Conic Sections: Ellipses and Hyperbolas	772	(17)
9.3 Nonlinear Systems of Equations	789	(15)
Chapter Project	804	(2)
Summary	806	(1)
Review Problems	807	(2)
Chapter Test	809	(1)
Cumulative Review Problems (Chapters 1-9)	809	(2)
CHAPTER 10 Polynomial and Rational Functions	811	(58)
10.1 Polynomial Functions and their Graphs	812	(15)
10.2 Polynomial Equations Having Rational Solutions	827	(17)
10.3 Rational Functions	844	(17)
Chapter Project	861	(2)
Summary	863	(1)
Review Problems	864	(2)
Chapter Test	866	(1)
Cumulative Review Problems (Chapters 1-10)	867	(2)
CHAPTER 11 Sequences, Probability, and Mathematical Induction	869
11.1 Sequences and Series	870	(14)
11.2 Arithmetic Sequences and Series	884	(11)
11.3 Geometric Sequences and Series	895	(17)
11.4 The Binomial Theorem	912	(8)
11.5 Counting Principles, Permutations, and Combinations	920	(13)
11.6 An Introduction to Probability	933	(14)
11.7 Mathematical Induction	947	(11)
Chapter Project	958	(2)
Summary	960	(2)
Review Problems	962	(6)
Chapter Test	968
APPENDIX Review Problems Covering the Entire Book	A1
Answers to Selected Exercises	AA1
Index	I-1
Index of Applications	Inside front cover
Definitions, Rules, and Formulas	Inside back cover