Beginning and Intermediate Algebra,9780534359430

Beginning and Intermediate Algebra

by ;
ISBN13: 9780534359430
ISBN10: 0534359434
Format: Hardcover
Pub. Date: 1999-08-01
Publisher(s): Cengage Learning
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Table of Contents

1 Real Numbers and Their Basic Properties
1(89)
1.1 Real Numbers and Their Graphs
2(12)
1.2 Fractions
14(17)
1.3 Exponents and Order of Operations
31(13)
1.4 Adding and Subtracting Real Numbers
44(12)
1.5 Multiplying and Dividing Real Numbers
56(8)
1.6 Algebraic Expressions
64(9)
1.7 Properties of Real Numbers
73(8)
Projects
81(1)
Chapter Summary
82(6)
Chapter Test
88(2)
2 Equations and Inequalities
90(74)
2.1 Solving Equations by Addition and Subtraction
91(11)
2.2 Solving Equations by Multiplication and Division
102(8)
2.3 Solving More Equations
110(9)
2.4 Simplifying Expressions to Solve Equations
119(8)
2.5 Applications of Equations
127(12)
2.6 Formulas
139(7)
2.7 Solving Inequalities
146(9)
Projects
155(2)
Chapter Summary
157(4)
Chapter Test
161(1)
Cumulative Review Exercises
162(2)
3 Graphing and Solving Systems of Equations and Inequalities
164(93)
3.1 The Rectangular Coordinate System
165(14)
3.2 Graphing Linear Equations
179(15)
3.3 Solving Systems of Equations by Graphing
194(13)
3.4 Solving Systems of Equations by Substitution
207(6)
3.5 Solving Systems of Equations by Addition
213(8)
3.6 Applications of Systems of Equations
221(13)
3.7 Solving Systems of Linear Inequalities
234(15)
Project
249(1)
Chapter Summary
250(5)
Chapter Test
255(2)
4 Polynomials
257(78)
4.1 Natural-Number Exponents
258(9)
4.2 Zero and Negative-Integer Exponents
267(7)
4.3 Scientific Notation
274(7)
4.4 Polynomials
281(13)
4.5 Adding and Subtracting Polynomials
294(8)
4.6 Multiplying Polynomials
302(11)
4.7 Dividing Polynomials by Monomials
313(7)
4.8 Dividing Polynomials by Polynomials
320(7)
Project
327(1)
Chapter Summary
327(4)
Chapter Test
331(1)
Cumulative Review Exercises
332(3)
5 Factoring Polynomials
335(57)
5.1 Factoring Out the Greatest Common Factor
336(9)
5.2 Factoring by Grouping
345(5)
5.3 Factoring the Difference of Two Squares
350(6)
5.4 Factoring Trinomials with Lead Coefficients of 1
356(11)
5.5 Factoring General Trinomials
367(9)
5.6 Summary of Factoring Techniques
376(4)
5.7 Problem Solving
380(7)
Project
387(1)
Chapter Summary
388(3)
Chapter Test
391(1)
6 Proportion and Rational Expressions
392(82)
6.1 Ratios
393(7)
6.2 Proportions and Similar Triangles
400(13)
6.3 Simplifying Fractions
413(8)
6.4 Multiplying and Dividing Fractions
421(10)
6.5 Adding and Subtracting Fractions
431(13)
6.6 Complex Fractions
444(7)
6.7 Solving Equations That Contain Fractions
451(8)
6.8 Applications of Equations That Contain Fractions
459(6)
Projects
465(1)
Chapter Summary
466(4)
Chapter Test
470(1)
Cumulative Review Exercises
471(3)
7 More Equations, Inequalities, and Factoring
474(79)
7.1 Review of Equations and Inequalities
475(16)
7.2 Equations Containing Absolute Values
491(6)
7.3 Inequalities Containing Absolute Values
497(6)
7.4 Review of Factoring
503(14)
7.5 Factoring the Sum and Difference of Two Cubes
517(6)
7.6 Review of Rational Expressions
523(16)
7.7 Synthetic Division
539(7)
Projects
546(2)
Chapter Summary
548(3)
Chapter Test
551(2)
8 Writing Equations of Lines; Variation
553(86)
8.1 A Review of the Rectangular Coordinate System
554(11)
8.2 Slope of a Nonvertical Line
565(12)
8.3 Writing Equations of Lines
577(15)
8.4 A Review of Functions
592(11)
8.5 Graphs of Nonlinear Functions
603(15)
8.6 Variation
618(10)
Projects
628(2)
Chapter Summary
630(5)
Chapter Test
635(2)
Cumulative Review Exercises
637(2)
9 Rational Exponents and Radicals
639(73)
9.1 Radical Expressions
640(14)
9.2 Applications of Radicals
654(9)
9.3 Radical Equations
663(9)
9.4 Rational Exponents
672(9)
9.5 Simplifying and Combining Radical Expressions
681(11)
9.6 Multiplying and Dividing Radical Expressions
692(10)
Projects
702(2)
Chapter Summary
704(5)
Chapter Test
709(3)
10 Quadratic Functions, Inequalities, and Algebra of Functions
712(88)
10.1 Completing the Square and the Quadratic Formula
713(13)
10.2 Graphs of Quadratic Functions
726(13)
10.3 Complex Numbers
739(13)
10.4 The Discriminant and Equations That Can Be Written in Quadratic Form
752(7)
10.5 Quadratic and Other Nonlinear Inequalities
759(9)
10.6 Algebra and Composition of Functions
768(9)
10.7 Inverses of Functions
777(11)
Projects
788(2)
Chapter Summary
790(5)
Chapter Test
795(2)
Cumulative Review Exercises
797(3)
11 Exponential and Logarithmic Functions
800(73)
11.1 Exponential Functions
801(14)
11.2 Base-e Exponential Functions
815(8)
11.3 Logarithmic Functions
823(12)
11.4 Base-e Logarithms
835(6)
11.5 Properties of Logarithms
841(11)
11.6 Exponential and Logarithmic Equations
852(12)
Projects
864(2)
Chapter Summary
866(4)
Chapter Test
870(3)
12 More Graphing and Conic Sections
873(55)
12.1 The Circle and the Parabola
874(15)
12.2 The Ellipse
889(11)
12.3 The Hyperbola
900(12)
12.4 Piecewise-Defined Functions and the Greatest Integer Function
912(8)
Project
920(1)
Chapter Summary
921(3)
Chapter Test
924(1)
Cumulative Review Exercises
925(3)
13 More on Systems of Equations and Inequalities
928(63)
13.1 Solutions of Two Equations in Two Variables
929(14)
13.2 Solutions of Three Equations in Three Variables
943(12)
13.3 Solution by Matrices
955(9)
13.4 Solution by Determinants
964(12)
13.5 Solving Simultaneous Second-Degree Equations and Inequalities
976(8)
Projects
984(2)
Chapter Summary
986(3)
Chapter Test
989(2)
14 Miscellaneous Topics
991
14.1 The Binomial Theorem
992(7)
14.2 The nth Term of a Binomial Expansion
999(4)
14.3 Arithmetic Sequences
1003(9)
14.4 Geometric Sequences
1012(9)
14.5 Infinite Geometric Sequences
1021(4)
14.6 Permutations and Combinations
1025(11)
Projects
1036(3)
Chapter Summary
1039(4)
Chapter Test
1043(1)
Cumulative Review Exercises
1043
APPENDIX I SYMMETRIES OF GRAPHS A-1(5)
APPENDIX II TABLES A-6(3)
Table A Powers and Roots A-6(1)
Table B Base-10 Logarithms A-7(1)
Table C Base-e Logarithms A-8(1)
APPENDIX III ANSWERS TO SELECTED EXERCISES A-9
INDEX I-1

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