民族复兴之路[缩微品]

Table Of Contents:
Preface xi
To the Student xvii

Elementary Algebraic Concepts

Basic Concepts 1(12)

Real Number Properties 13(9)

Operations on Real Numbers 22(13)

Operations on Polynomials 35(10)

Factoring Methods 45(8)

Factoring Second-Degree Polynomials 53(9)

Solving and Graphing Equations 62(22)

Summary 76(4)

Review Exercise 80(1)

Practice Test 81(3)

Linear Equations and Inequalities in One Variable

Solving Linear Equations 84(6)

Word Problems 90(6)

Rate-Time Problems 96(4)

Solving Equations by Factoring 100(6)

Solving Linear Inequalities 106(8)

Absolute Values in Equations and Inequalities 114(14)

Summary 122(1)

Review Exercise 123(2)

Practice Test 125(3)

Linear Equations and Inequalities in Two Variables

Graphing Linear Equations 128(10)

Equations of a Line 138(8)

Systems of Linear Equations in Two Variables 146(7)

Applications: Mixture Problems 153(8)

Graphing Linear Inequalities 161(9)

Systems of Linear Inequalities 170(5)

Linear Programming (Optional) 175(9)

Functions: An Introduction 184(17)

Summary 192(1)

Review Exercise 193(2)

Practice Test 195(1)

Cumulative Review Exercise, Chapters 1-3 196(5)

Second-Degree Equations and Inequalities

Complex Numbers 201(9)

Solving Quadratic Equations by Factoring, Square Roots, and Completing the Square 210(6)

The Quadratic Formula 216(7)

Applications 223(6)

Graphing Quadratic Polynomials 229(7)

Geometric Transformations and Graphing (Optional) 236(8)

Nonlinear Inequalities 244(15)

Summary 253(2)

Review Exercise 255(2)

Practice Test 257(2)

Algebraic Fractions

Rational Expressions 259(5)

Multiplication and Division 264(5)

Addition and Subtraction 269(6)

Complx Fractions 275(6)

Solving Equations 281(9)

Application: Ratio and Proportion 290(11)

Miscellaneous Applications 301(7)

Quotients of Polynomials 308(5)

Remainder and Factor Theorems (Optional) 313(14)

Summary 318(1)

Review Exercise 319(3)

Practice Test 322(1)

Cumulative Review Exercise, Chapters 1-5 323(4)

Functions

Functions 327(12)

Function Notation and the Algebra of Functions 339(6)

Graphing Functions 345(9)

Inverse Functions 354(9)

Variation 363(10)

Rational Functions (Optional) 373(17)

Summary 383(2)

Review Exercise 385(2)

Practice Test 387(3)

Exponents and Radicals

Integer Exponents 390(10)

Scientific Notation and Applications 400(5)

Rational Exponents 405(7)

Radical Forms 412(8)

Basic Operations Involving Radicals 420(5)

Radical Equations, Related Equations, and Graphs 425(15)

Summary 432(2)

Review Exercise 434(1)

Practice Test 435(1)

Cumulative Review Exercise, Chapters 1-7 436(4)

Exponential and Logarithmic Functions

Exponential Functions 440(9)

Logarithmic Functions 449(6)

Properties of Logarithmic Functions 455(4)

Logarithms to Various Bases 459(5)

Exponential and Logarithmic Equations 464(9)

Summary 469(1)

Review Exercise 470(1)

Practice Test 471(2)

Systems of Linear Equations and Matrices

Systems of Linear Equations in Three Variables 473(7)

Systems of Equations and Matrices 480(8)

Operations on Matrices 488(5)

Matrix Multiplication 493(9)

Matrix Inverses and Solutions to Systems 502(10)

Determinants and Cramer's Rule 512(21)

Summary 525(3)

Review Exercise 528(2)

Practice Test 530(3)

Conic Sections

Circles 533(7)

Parabolas 540(6)

Ellipses 546(6)

Hyperbolas 552(9)

Systems Involving Second-Degree Equations 561(13)

Summary 567(2)

Review Exercise 569(1)

Practice Test 570(1)

Cumulative Review Exercise, Chapters 1-10 570(4)

Topics from Discrete Algebra

Sequences and Series 574(5)

Arithmetic Sequences and Series 579(5)

Geometric Sequences and Series 584(7)

Binomial Formula 591(5)

Counting 596(5)

Permutations and Combinations 601(7)

Probability 608

Summary 620(3)

Review Exercise 623(2)

Practice Test 625
Appendixes

A Sets A-3

B Significant Digits A-9
Answer to Selected Problems A-11
Index I-1