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Algebra for College Students,9780131492646
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Algebra for College Students

by
Edition:
6th
ISBN13:

9780131492646

ISBN10:
0131492640
Format:
Hardcover w/CD
Pub. Date:
1/1/2009
Publisher(s):
Prentice Hall
List Price: $150.66
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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. Algebra and Problem Solving. Functions, Linear Functions, and Inequalities. Systems of Linear Equations and Inequalities. Polynomials, Polynomial Functions, and Factoring. Rational Expressions, Functions, and Equations. Radicals, Radical Functions, and Rational Exponents. Quadratic Equations and Functions. Exponential and Logarithmic Functions. Conic Sections and Nonlinear Systems of Equations. Sequences, Series, and the Binomial Theorem. For anyone interested in introductory and intermediate algebra and for the combined introductory and intermediate algebra.

Table of Contents

Preface xi
To The Student xix
About the Author xxi
Algebra, Mathematical Models, and Problem Solving
1(94)
Algebraic Expressions and Real Numbers
2(11)
Operations with Real Numbers and Simplifying Algebraic Expressions
13(15)
Graphing Equations
28(11)
Solving Linear Equations
39(12)
Mid-Chapter Check Point
51(1)
Problem Solving and Using Formulas
51(15)
Properties of Integral Exponents
66(12)
Scientific Notation
78(17)
Group Project
85(1)
Summary
86(5)
Review Exercises
91(3)
Chapter Test
94(1)
Functions and Linear Functions
95(67)
Introduction to Functions
96(16)
The Algebra of Functions
112(11)
Mid-Chapter Check Point
122(1)
Linear Functions and Slope
123(18)
The Point-Slope Form of the Equation of a Line
141(21)
Group Project
152(1)
Summary
153(3)
Review Exercises
156(3)
Chapter Test
159(1)
Cumulative Review Exercises (Chapters 1--2)
160(2)
Systems of Linear Equations
162(76)
Systems of Linear Equations in Two Variables
163(15)
Problem Solving and Business Applications Using Systems of Equations
178(15)
Systems of Linear Equations in Three Variables
193(12)
Mid-Chapter Check Point
204(1)
Matrix Solutions to Linear Systems
205(12)
Determinants and Cramer's Rule
217(21)
Group Project
227(1)
Summary
228(5)
Review Exercises
233(2)
Chapter Test
235(1)
Cumulative Review Exercises (Chapters 1--3)
236(2)
Inequalities and Problem Solving
238(59)
Solving Linear Inequalities
239(14)
Compound Inequalities
253(9)
Equations and Inequalities Involving Absolute Value
262(9)
Mid-Chapter Check Point
270(1)
Linear Inequalities in Two Variables
271(11)
Linear Programming
282(15)
Group Project
290(1)
Summary
290(3)
Review Exercises
293(2)
Chapter Test
295(1)
Cumulative Review Exercises (Chapters 1--4)
296(1)
Polynomials, Polynomial Functions, and Factoring
297(87)
Introduction to Polynomials and Polynomial Functions
298(13)
Multiplication of Polynomials
311(13)
Greatest Common Factors and Factoring by Grouping
324(9)
Factoring Trinomials
333(14)
Mid-Chapter Check Point
346(1)
Factoring Special Forms
347(9)
A General Factoring Strategy
356(6)
Polynomial Equations and Their Applications
362(22)
Group Project
375(1)
Summary
376(4)
Review Exercises
380(2)
Chapter Test
382(1)
Cumulative Review Exercises (Chapters 1--5)
383(1)
Rational Expressions, Functions, and Equations
384(95)
Rational Expressions and Functions: Multiplying and Dividing
385(14)
Adding and Subtracting Rational Expressions
399(12)
Complex Rational Expressions
411(8)
Division of Polynomials
419(9)
Mid-Chapter Check Point
427(1)
Synthetic Division and the Remainder Theorem
428(8)
Rational Equations
436(9)
Formulas and Applications of Rational Equations
445(13)
Modeling Using Variation
458(21)
Group Project
469(1)
Summary
470(4)
Review Exercises
474(3)
Chapter Test
477(1)
Cumulative Review Exercises (Chapters 1--6)
478(1)
Radicals, Radical Functions, and Rational Exponents
479(80)
Radical Expressions and Functions
480(12)
Rational Exponents
492(12)
Multiplying and Simplifying Radical Expressions
504(8)
Adding, Subtracting, and Dividing Radical Expressions
512(8)
Mid-Chapter Check Point
519(1)
Multiplying with More Than One Term and Rationalizing Denominators
520(12)
Radical Equations
532(10)
Complex Numbers
542(17)
Group Project
551(1)
Summary
551(4)
Review Exercises
555(2)
Chapter Test
557(1)
Cumulative Review Exercises (Chapters 1--7)
558(1)
Quadratic Equations and Functions
559(77)
The Square Root Property and Completing the Square
560(14)
The Quadratic Formula
574(15)
Quadratic Functions and Their Graphs
589(18)
Mid-Chapter Check Point
606(1)
Equations Quadratic in Form
607(7)
Polynomial and Rational Inequalities
614(22)
Group Project
627(1)
Summary
628(4)
Review Exercises
632(2)
Chapter Test
634(1)
Cumulative Review Exercises (Chapters 1--8)
635(1)
Exponential and Logarithmic Functions
636(92)
Exponential Functions
637(13)
Composite and Inverse Functions
650(15)
Logarithmic Functions
665(13)
Properties of Logarithms
678(12)
Mid-Chapter Check Point
688(2)
Exponential and Logarithmic Equations
690(12)
Exponential Growth and Decay; Modeling Data
702(26)
Group Project
716(1)
Summary
716(4)
Review Exercises
720(5)
Chapter Test
725(1)
Cumulative Review Exercises (Chapters 1--9)
726(2)
Conic Sections and Systems of Nonlinear Equations
728(63)
Distance and Midpoint Formulas; Circles
729(10)
The Ellipse
739(12)
The Hyperbola
751(10)
Mid-Chapter Check Point
760(1)
The Parabola; Identifying Conic Sections
761(12)
Systems of Nonlinear Equations in Two Variables
773(18)
Group Project
784(1)
Summary
785(2)
Review Exercises
787(2)
Chapter Test
789(1)
Cumulative Review Exercises (Chapters 1--10)
790(1)
More on Polynomial and Rational Functions
791(49)
Polynomial Functions and their Graphs
792(13)
Zeros of Polynomial Functions
805(13)
Mid-Chapter Check Point
818(1)
Rational Functions and their Graphs
818(22)
Group Project
833(1)
Summary
834(2)
Review Exercises
836(2)
Chapter Test
838(1)
Cumulative Review Exercises (Chapters 1--11)
839(1)
Sequences, Induction, and Probability
840(89)
Sequences and Summation Notation
841(10)
Arithmetic Sequences
851(10)
Geometric Sequences and Series
861(16)
Mid-Chapter Check Point
876(1)
The Binomial Theorem
877(8)
Mathematical Induction
885(8)
Counting Principles, Permutations, and Combinations
893(12)
Probability
905(24)
Group Project
919(1)
Summary
920(4)
Review Exercises
924(2)
Chapter Test
926(2)
Cumulative Review Exercises (Chapters 1--12)
928(1)
Appendix Where Did That Come From? Selected Proofs 929
Answers to Selected Exercises 1(1)
Applications Index 1(1)
Subject Index 1(1)
Photo Credits 1


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