Understanding Intermediate Algebra : A Course for College Students; Annotated Instructor's Edition (6TH)

Understanding Intermediate Algebra : A Course for College Students; Annotated Instructor's Edition (6TH)

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  • 製本 Hardcover:ハードカバー版/ページ数 790 p.
  • 言語 ENG,ENG
  • 商品コード 9780495109020
  • DDC分類 512

Table of Contents

    1 The Fundamental Concepts                     1  (64)
1.1 Basic Definitions: The Real Numbers 2 (12)
and the Real Number Line
1.2 Operations with Real Numbers 14 (15)
1.3 Algebraic Expressions 29 (8)
1.4 Translating Phrases and Sentences 37 (10)
into Algebraic Form
1.5 First-Degree Equations and 47 (18)
Inequalities
Chapter 1 Summary 57 (2)
Chapter 1 Review Exercises 59 (3)
Chapter 1 Practice Test 62 (3)
2 Equations and Inequalities 65 (54)
2.1 Equations as Mathematical Models 66 (9)
2.2 First-Degree Equations and 75 (13)
Applications
2.3 First-Degree Inequalities and 88 (15)
Applications
2.4 Absolute-Value Equations and 103(16)
Ineqalities
Chapter 2 Summary 112(3)
Chapter 2 Review Exercises 115(3)
Chapter 2 Practice Test 118(1)
3 Graphing Straight Lines and Functions 119(80)
3.1 The Rectangular Coordinate System and 120(12)
Graphing Straight Lines
3.2 Graphs and Equations 132(12)
3.3 Relations and Functions: Basic 144(17)
Concepts
3.4 Function Notation 161(8)
3.5 Interpreting Graphs 169(30)
Chapter 3 Summary 182(3)
Chapter 3 Review Exercises 185(5)
Chapter 3 Practice Test 190(2)
Chapter 1-3 Cumulative Review 192(4)
Chapter 1-3 Cumulative Practice Test 196(3)
4 Equations of a Line and Linear Systems in 199(64)
Two Variables
4.1 Straight Lines and Slope 200(19)
4.2 Equations of a Line and Linear 219(14)
Functions as Mathematical Models
4.3 Linear Systems in Two Variables 233(16)
4.4 Graphing Linear Inequalities in Two 249(14)
Variables
Chapter 4 Summary 255(3)
Chapter 4 Review Exercises 258(3)
Chapter 4 Practice Test 261(2)
5 Polynomial Expressions and Functions 263(56)
5.1 Polynomial Functions as Mathematical 264(7)
Models
5.2 Polynomial: Sums, Differences, and 271(6)
Products
5.3 General Forms and Special Products 277(9)
5.4 Factoring Out the Greatest Common 286(4)
Factor
5.5 Factoring Trinomials 290(10)
5.6 Solving Polynomial Equations by 300(9)
Factoring
5.7 Polynomial Division 309(10)
Chapter 5 Summary 313(1)
Chapter 5 Review Exercises 314(2)
Chapter 5 Practice Test 316(3)
6 Rational Expressions and Functions 319(68)
6.1 Rational Functions 320(5)
6.2 Equivalent Fractions 325(5)
6.3 Multiplication and Division of 330(4)
Rational Expressions
6.4 Sums and Differences of Rational 334(8)
Expressions
6.5 Mixed Operations and Complex Fractions 342(6)
6.6 Fractional Equations and Inequalities 348(7)
6.7 Literal Equations 355(4)
6.8 Applications: Rational Functions and 359(28)
Equations as Mathematical Models
Chapter 6 Summary 374(2)
Chapter 6 Review Exercises 376(4)
Chapter 6 Practice Test 380(1)
Chapter 4-6 Cumulative Review 381(3)
Chapter 4-6 Cumulative Practice Test 384(3)
7 Exponents and Radicals 387(68)
7.1 Natural Number and Integer Exponents 388(12)
7.2 Scientific Notation 400(6)
7.3 Rational Exponents and Radical 406(11)
Notation
7.4 Simplifying Radical Expressions 417(8)
7.5 Adding and Subtracting Radical 425(3)
Expressions
7.6 Multiplying and Dividing Radical 428(5)
Expressions
7.7 Radical Functions and Equations 433(8)
7.8 Complex Numbers 441(14)
Chapter 7 Summary 448(3)
Chapter 7 Review Exercises 451(3)
Chapter 7 Practice Test 454(1)
Chapter 8 Quadratic Functions and Equations 455(94)
8.1 Quadratic Functions as Mathematical 456(7)
Models
8.2 Solving Quadratic Equations: The 463(13)
Factoring and Square Root Methods
8.3 Solving Quadratic Equations: 476(5)
Completing the Square
8.4 Solving Quadratic Equations: The 481(7)
Quadratic Formula
8.5 Equations Reducible to Quadratic Form 488(10)
(and More Radical Equations)
8.6 Graphing Quadratic Functions 498(19)
8.7 Quadratic and Rational Inequalities 517(10)
8.8 The Distance Formula: Circles 527(22)
Chapter 8 Summary 538(5)
Chapter 8 Review Exercises 543(5)
Chapter 8 Practice Test 548(1)
9 More on Functions 549(50)
9.1 More on Function Notation: Split 550(7)
Functions
9.2 Composition and the Algebra of 557(6)
Functions
9.3 Types of Functions 563(7)
9.4 Inverse Functions 570(8)
9.5 Variation 578(21)
Chapter 9 Summary 586(4)
Chapter 9 Review Exercises 590(2)
Chapter 9 Practice Test 592(2)
Chapter 7-9 Cumulative Review 594(3)
Chapter 7-9 Cumulative Practice Test 597(2)
10 Exponential and Logarithmic Functions 599(50)
10.1 Exponential Functions 600(10)
10.2 Logarithms and Logarithmic Functions 610(7)
10.3 Properties of Logarithms 617(5)
10.4 Common Logarithms, Natural 622(5)
Logarithms, and Change of Base
10.5 Exponential and Logarithmic Equations 627(7)
10.6 Applications: Exponential and 634(15)
Logarithmic Functions as Mathematical
Models
Chapter 10 Summary 643(2)
Chapter 10 Review Exercises 645(2)
Chapter 10 Practice Test 647(2)
11 More Systems of Equations and Systems of 649(72)
Inequalities
11.1 3x3 Linear Systems 650(8)
11.2 Solving Linear Systems Using 658(10)
Augmented Matrices
11.3 The Algebra of Matrices 668(9)
11.4 Solving Linear Systems Using Matrix 677(9)
Inverses
11.5 Determinants and Cramer's Rule 686(8)
11.6 Systems of Linear Inequalities 694(7)
11.7 Nonlinear Systems of Equations 701(20)
Chapter 11 Summary 708(5)
Chapter 11 Review Exercises 713(2)
Chapter 11 Practice Test 715(2)
Chapter 10-11 Cumulative Review 717(2)
Chapter 10-11 Cumulative Practice Test 719(2)
Appendixes
A Sets 721(6)
B Conic Sections 727(20)
C Sequences and Series: The Binomial 747
Theorem
C.1 Sequences 747(6)
C.2 Series and Sigma Notation 753(4)
C.3 Arithmetic Sequences and Series 757(9)
C.4 Geometric Sequences and Series 766(11)
C.5 The Binomial Theorem 777(8)
Appendix C Summary 785(2)
Appendix C Review Exercises 787(2)
Appendix C Practice Test 789
Answers to Selected Exercises and Chapter Tests 1 (1)
Index 1