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Introductory and Intermediate Algebra for College Students,9780130328427
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Introductory and Intermediate Algebra for College Students

by
ISBN13:

9780130328427

ISBN10:
0130328421
Format:
Paperback
Pub. Date:
1/1/2002
Publisher(s):
Prentice Hall

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Summary

The goal of this series is to provide readers with a strong foundation in Algebra. Each book is designed to develop readers' critical thinking and problem-solving capabilities and prepare readers for subsequent Algebra courses as well as “service” math courses. Topics are presented in an interesting and inviting format, incorporating real world sourced data and encouraging modeling and problem-solving. The Real Number System. Linear Equations and Inequalities in One Variable. Linear Equations in Two Variables. Systems of Linear Equations. Exponents and Polynomials. Factoring Polynomials. Rational Expressions. Functions, More on Systems of Linear Functions. Inequalities and Problem Solving. Radicals, Radical Functions, and Rational Exponents. Quadratic Equations and Functions. Exponential and Logarithmic Functions. Conic Sections and Nonlinear Systems of Equations. Sequences, Induction, and Probability. For anyone interested in introductory and intermediate algebra and for the combined introductory and intermediate algebra.

Table of Contents

Preface xi
To the Student xvii
About the Author xix
Applications Index xxv
The Real Number System
3(98)
Fractions
4(10)
The Real Numbers
14(11)
Ordered Pairs and Graphs
25(10)
Basic Rules of Algebra
35(12)
Addition of Real Numbers
47(8)
Subtraction of Real Numbers
55(8)
Multiplication and Division of Real Numbers
63(12)
Exponents, Order of Operations, and Mathematical Models
75(26)
Chapter 1 Group Projects
80(10)
Summary
90(4)
Review Exercises
94(3)
Chapter 1 Test
97(4)
Linear Equations and Inequalities in one variable
101(84)
The Addition Property of Equality
102(8)
The Multiplication Property of Equality
110(8)
Solving Linear Equations
118(8)
Formulas and Percents
126(9)
An Introduction to Problem Solving
135(12)
Problem Solving in Geometry
147(12)
Solving Linear Inequalities
159(26)
Chapter 2 Group Projects
172(1)
Summary
173(5)
Review Exercises
178(3)
Chapter 2 Test
181(1)
Cumulative Review Exercises (Chapters 1--2)
182(3)
Linear Equations in Two Variables
185(60)
Graphing Linear Equations
186(12)
Graphing Linear Equations Using Intercepts
198(10)
Slope
208(9)
The Slope-Intercept Form of the Equation of a Line
217(8)
The Point-Slope Form of the Equation of a Line
225(20)
Chapter 3 Group Projects
235(1)
Summary
236(3)
Review Exercises
239(3)
Chapter 3 Test
242(1)
Cumulative Review Exercises (Chapters 1--3)
243(2)
Systems of Linear Equations
245(50)
Solving Systems of Linear Equations by Graphing
246(9)
Solving Systems of Linear Equations by the Substitution Method
255(7)
Solving Systems of Linear Equations by the Addition Method
262(9)
Problem Solving Using Systems of Equations
271(24)
Chapter 4 Group Projects
286(1)
Summary
287(2)
Review Exercises
289(2)
Chapter 4 Test
291(1)
Cumulative Review Exercises (Chapters 1--4)
292(3)
Exponents and Polynomials
295(78)
Adding and Substracting Polynomials
296(8)
Multiplying Polynomials
304(11)
Special Products
315(9)
Polynomials in Several Variables
324(8)
Dividing Polynomials
332(8)
Dividing Polynomials by Binomials; Synthetic Division
340(11)
Negative Exponents and Scientific Notation
351(22)
Chapter 5 Group Projects
3363
Summary
364(3)
Review Exercises
367(3)
Chapter 5 Test
370(1)
Cumulative Review Exercises (Chapters 1--5)
370(3)
Factoring Polynomials
373(58)
The Greatest Common Factor and Factoring by Grouping
374(8)
Factoring Trinomials Whose Leading Coefficient Is One
382(7)
Factoring Trinomials Whose Leading Coefficient Is Not One
389(7)
Factoring Special Forms
396(7)
A General Factoring Strategy
403(8)
Solving Quadratic Equations by Factoring
411(20)
Chapter 6 Group Projects
423(1)
Summary
424(2)
Review Exercises
426(2)
Chapter 6 Test
428(1)
Cumulative Review Exercises (Chapters 1--6)
428(3)
Rational Expressions
431(86)
Rational Expressions and Their Simplification
432(9)
Multiplying and Dividing Rational Expressions
441(7)
Adding and Subtracting Rational Expressions with the Same Denominators
448(8)
Adding and Substracting Rational Expressions with Different Denominators
456(11)
Complex Rational Expressions
467(7)
Solving Rational Equations
474(10)
Applications Using Rational Equations and Proportions
484(11)
Modeling Using Variation
495(22)
Chapter 7 Group Projects
505(1)
Summary
506(5)
Review Exercises
511(3)
Chapter 7 Test
514(1)
Cumulative Review Exercises (Chapters 1--7)
515(2)
Functions; More on Systems of Linear Equations
517(70)
Introduction to Functions
518(12)
The Algebra of Functions
530(11)
Systems of Linear Equations in Three Variables
541(11)
Matrix Solutions to Systems of Linear Equations
552(22)
Determinants and Cramer's Rule
574(13)
Summary
575(5)
Review Exercises
580(3)
Chapter 8 Test
583(1)
Cumulative Review Exercises (Chapters 1--8)
584(3)
Inequalities and Problem Solving
587(110)
Interval Notation and Business Applications Using Linear Inequalities
588(12)
Compound Inequalities
600(8)
Equations and Inequalities Involving Absolute Value
608(8)
Linear Inequalities in Two Variables
616(9)
Linear Programming
625(72)
Chapter 9 Group Projects
634(1)
Summary
635(3)
Review Exercises
638(2)
Chapter 9 Test
640(1)
Cumulative Review Exercises (Chapters 1--9)
641(56)
Radicals, Radical Functions, and Rational Exponents
697(62)
Radical Expressions and Functions
644(12)
Rational Exponents
656(11)
Multiplying and Simplifying Radical Expressions
667(8)
Adding, Subtracting, and Dividing Radical Expressions
675(7)
Multiplying with More Than One Term and Rationalizing Denominators
682(12)
Radical Equations
694(9)
Complex Numbers
703(56)
Chapter 10 Group Projects
712(1)
Summary
713(3)
Review Exercises
716(2)
Chapter 10 Test
718(1)
Cumulative Review Exercises (Chapters 1--10)
719(40)
Quadratic Equations and Functions
759(36)
The Square Root Property and Completing the Square
722(14)
The Quadratic Formula
736(15)
Quadratic Functions and Their Graphs
751(15)
Equations Quadratic in Form
766(8)
Quadratic and Rational Inequalities
774(21)
Chapter 11 Group Projects
785(2)
Summary
787(3)
Review Exercises
790(2)
Chapter 11 Test
792(1)
Cumulative Review Exercises (Chapters 1--11)
793(2)
Exponential and Logarithmic Functions
795(82)
Exponential Functions
796(12)
Composite and Inverse Functions
808(13)
Logarithmic Functions
821(11)
Properties of Logarithms
832(10)
Exponential and Logarithmic Equations
842(12)
Exponential Growth and Decay; Modeling Data
854(23)
Chapter 12 Group Projects
865(1)
Summary
866(4)
Review Exercises
870(4)
Chapter 12 Test
874(1)
Cumulative Review Exercises (Chapters 1--12)
875(2)
Conic Sections and Systems of Nonlinear Equations
877(62)
Distance and Midpoint Formulas; Circles
878(9)
The Ellipse
887(11)
The Hyperbola
898(10)
The Parabola; Identifying Conic Sections
908(13)
Systems of Nonlinear Equations in Two Variables
921(18)
Chapter 13 Group Projects
931(1)
Summary
932(2)
Review Exercises
934(2)
Chapter 13 Test
936(1)
Cumulative Review Exercises (Chapters 1--13)
937(2)
Sequences, Induction, and Probability
939
Sequences and Summation Notation
940(9)
Arithmetic Sequences
949(9)
Geometric Sequences and Series
958(15)
The Binomial Theorem
973(8)
Counting Principles, Permutations, and Combinations
981(11)
Probability
992(25)
Chapter 14 Group Projects
1005(1)
Summary
1006(4)
Review Exercises
1010(2)
Chapter 14 Test
1012(1)
Cumulative Review Exercises (Covering the Entire Book)
1013(4)
Appendices
A: Are You Prepared for Intermediate Algebra?
1017(3)
B: Where Did That Come From? Selected Proofs
1020
Answers to Selected Exercises A1
Subject Index I1
Photo Credits P1


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