Index of Applications vii
Preface xi
R Review of Basic Algebra 1
Part 1 Operations
R.1 ,e Set of Real Numbers 2
R.2 Operations with Real Numbers 11
R.3 Exponential Notation and
Order of Operations 22
Part 2 Manipulations
R.4 Introduction to Algebraic Expressions 31
R.5 Equivalent Algebraic Expressions 37
R.6 Simplifying Algebraic Expressions 45
R.7 Properties of Exponents and
Scienti?c Notation 53
Summary and Review 65
Test 69
1 Solving Linear Equations
and Inequalities 71
1.1 Solving Equations 72
1.2 Formulas and Applications 86
1.3 Applications and Problem Solving 95
Mid-Chapter Review 108
1.4 Sets, Inequalities, and
Interval Notation 110
Translating for Success 119
1.5 Intersections, Unions, and
Compound Inequalities 126
1.6 Absolute-Value Equations
and Inequalities 138
Summary and Review 149
Test 155
2 Graphs, Functions,
and Applications 157
2.1 Graphs of Equations 158
2.2 Functions and Graphs 172
2.3 Finding Domain and Range 186
Mid-Chapter Review 191
2.4 Linear Functions: Graphs and Slope 193
2.5 More on Graphing Linear Equations 204
Visualizing for Success 211
2.6 Finding Equations of Lines;
Applications 216
Summary and Review 227
Test 236
Cumulative Review 239
3 Systems of Equations 241
3.1 Systems of Equations in Two Variables 242
3.2 Solving by Substitution 251
3.3 Solving by Elimination 257
3.4 Solving Applied Problems:
Two Equations 266
Translating for Success 274
Mid-Chapter Review 279iv CONTENTS
3.5 Systems of Equations in
,ree Variables 281
3.6 Solving Applied Problems:
,ree Equations 288
3.7 Systems of Inequalities in
Two Variables 295
Visualizing for Success 303
Summary and Review 308
Test 315
Cumulative Review 317
4 Polynomials and
Polynomial Functions 319
4.1 Introduction to Polynomials and
Polynomial Functions 320
4.2 Multiplication of Polynomials 331
4.3 Introduction to Factoring 342
4.4 Factoring Trinomials: x 2 + bx + c 348
Mid-Chapter Review 354
4.5 Factoring Trinomials:
ax 2 + bx + c, a ? 1 356
4.6 Special Factoring 364
Visualizing for Success 370
4.7 Factoring: A General Strategy 375
4.8 Applications of Polynomial Equations
and Functions 380
Translating for Success 387
Summary and Review 393
Test 399
Cumulative Review 401
5 Rational Expressions,
Equations, and Functions 403
5.1 Rational Expressions and Functions:
Multiplying, Dividing, and Simplifying 404
5.2 LCMs, LCDs, Addition,
and Subtraction 416
5.3 Division of Polynomials 427
5.4 Complex Rational Expressions 435
Mid-Chapter Review 442
5.5 Solving Rational Equations 444
5.6 Applications and Proportions 452
Translating for Success 460
5.7 Formulas and Applications 466
5.8 Variation and Applications 470
Summary and Review 481
Test 487
Cumulative Review 489
6 Radical Expressions,
Equations, and Functions 491
6.1 Radical Expressions and Functions 492
6.2 Rational Numbers as Exponents 503
6.3 Simplifying Radical Expressions 510
6.4 Addition, Subtraction, and
More Multiplication 519
Mid-Chapter Review 525
6.5 More on Division of
Radical Expressions 527
6.6 Solving Radical Equations 532
6.7 Applications Involving Powers
and Roots 543
Translating for Success 545
6.8 ,e Complex Numbers 550
Summary and Review 561
Test 567
Cumulative Review 569
7 Quadratic Equations
and Functions 571
7.1 ,e Basics of Solving
Quadratic Equations 572
7.2 ,e Quadratic Formula 5867.3 Applications Involving
Quadratic Equations 593
Translating for Success 599
7.4 More on Quadratic Equations 605
Mid-Chapter Review 614
7.5 Graphing f(x) = a(x - h) 2 + k 616
7.6 Graphing f(x) = ax 2 + bx + c 625
Visualizing for Success 630
7.7 Mathematical Modeling with
Quadratic Functions 634
7.8 Polynomial Inequalities and
Rational Inequalities 645
Summary and Review 653
Test 659
Cumulative Review 661

8
Exponential Functions and
Logarithmic Functions 663
8.1 Exponential Functions 664
8.2 Composite Functions and
Inverse Functions 678
8.3 Logarithmic Functions 695
8.4 Properties of Logarithmic Functions 706
Mid-Chapter Review 712
8.5 Natural Logarithmic Functions 714
Visualizing for Success 719
8.6 Solving Exponential Equations
and Logarithmic Equations 723
8.7 Mathematical Modeling with
Exponential Functions and
Logarithmic Functions 730
Translating for Success 738
Summary and Review 744
Test 752
Cumulative Review 755
9 Conic Sections 757
9.1 Parabolas and Circles 758
9.2 Ellipses 771
Mid-Chapter Review 779
9.3 Hyperbolas 781
Visualizing for Success 785
9.4 Nonlinear Systems of Equations 789
Summary and Review 799
Test 805
Cumulative Review 807
Appendixes 813
A Fraction Notation 814
B Determinants and Cramer’s Rule 823
C Elimination Using Matrices 828
D !e Algebra of Functions 832
Answers A-1
Guided Solutions A-43
Glossary G-1
Index I-1