Introductory and Intermediate Algebra [Global ed of 5th rev. ed] 9780321917898, 1292080000, 9781292080000, 0321917898

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Introductory and Intermediate Algebra [Global ed of 5th rev. ed]
 9780321917898, 1292080000, 9781292080000, 0321917898

Table of contents :
Cover......Page 1
Title......Page 2
Copyright......Page 3
Contents......Page 4
Index of Applications......Page 8
Preface ......Page 14
1 Introduction to Real Numbers and Algebraic Expressions......Page 26
1.1 Introduction to Algebra......Page 27
1.2 The Real Numbers......Page 34
1.3 Addition of Real Numbers......Page 45
1.4 Subtraction of Real Numbers ......Page 53
Mid-Chapter Review......Page 60
1.5 Multiplication of Real Numbers......Page 62
1.6 Division of Real Numbers......Page 69
1.7 Properties of Real Numbers......Page 78
1.8 Simplifying Expressions; Order of Operations ......Page 91
Summary and Review......Page 100
Test ......Page 106
2 Solving Equations and Inequalities......Page 108
2.1 Solving Equations: The Addition Principle......Page 109
2.2 Solving Equations: The Multiplication Principle......Page 115
2.3 Using the Principles Together......Page 121
2.4 Formulas ......Page 132
Mid-Chapter Review:......Page 140
2.5 Applications of Percent......Page 142
2.6 Applications and Problem Solving......Page 150
Translating for Success ......Page 161
2.7 Solving Inequalities ......Page 167
2.8 Applications and Problem Solving with Inequalities......Page 179
Summary and Review ......Page 187
Test......Page 192
Cumulative Review......Page 194
3 Graphs of Linear Equations......Page 196
3.1 Introduction to Graphing......Page 197
3.2 Graphing Linear Equations......Page 204
3.3 More with Graphing and Intercepts......Page 215
Visualizing for Success......Page 220
Mid-Chapter Review ......Page 226
3.4 Slope and Applications......Page 228
Summary and Review......Page 239
Test......Page 245
Cumulative Review......Page 248
4 Polynomials: Operations......Page 250
4.1 Integers as Exponents......Page 251
4.2 Exponents and Scientific Notation......Page 261
4.3 Introduction to Polynomials......Page 273
4.4 Addition and Subtraction......Page 286
Mid-Chapter Review......Page 294
4.5 Multiplication of Polynomials......Page 296
4.6 Special Products......Page 303
Visualizing for Success......Page 309
4.7 Operations with Polynomials in Several Variables......Page 314
4.8 Division of Polynomials ......Page 323
Summary and Review......Page 330
Test......Page 336
Cumulative Review......Page 338
5 Polynomials: Factoring......Page 340
5.1 Introduction to Factoring......Page 341
5.2 Factoring Trinomials of the Type x2 + bx + c......Page 349
5.3 Factoring ax2 + bx + c, a ≠ 1: The FOIL Method......Page 359
5.4 Factoring ax2 + bx + c, a ≠ 1: The ac-Method......Page 367
Mid-Chapter Review......Page 373
5.5 Factoring Trinomial Squares and Differences of Squares......Page 375
5.6 Factoring Sums or Differences of Cubes......Page 385
5.7 Factoring: A General Strategy ......Page 390
5.8 Solving Quadratic Equations by Factoring......Page 398
5.9 Applications of Quadratic Equations......Page 406
Translating for Success......Page 412
Summary and Review ......Page 418
Test ......Page 424
Cumulative Review......Page 426
6 Rational Expressions and Equations......Page 428
6.1 Multiplying and Simplifying Rational Expressions......Page 429
6.2 Division and Reciprocals......Page 439
6.3 Least Common Multiples and Denominators......Page 444
6.4 Adding Rational Expressions ......Page 448
6.5 Subtracting Rational Expressions......Page 456
Mid-Chapter Review......Page 464
6.6 Complex Rational Expressions......Page 466
6.7 Solving Rational Equations ......Page 472
6.8 Applications Using Rational Equations and Proportions......Page 480
Translating for Success......Page 487
6.9 Variation and Applications......Page 494
Summary and Review......Page 505
Test ......Page 512
Cumulative Review......Page 514
7 Graphs, Functions, and Applications......Page 516
7.1 Functions and Graphs......Page 517
7.2 Finding Domain and Range......Page 531
Mid-Chapter Review......Page 536
7.3 Linear Functions: Graphs and Slope......Page 538
7.4 More on Graphing Linear Equations......Page 549
Visualizing for Success......Page 556
7.5 Finding Equations of Lines; Applications......Page 561
Summary and Review:......Page 572
Test ......Page 581
Cumulative Review......Page 584
8 Systems of Equations......Page 586
8.1 Systems of Equations in Two Variables......Page 587
8.2 Solving by Substitution ......Page 596
8.3 Solving by Elimination ......Page 602
8.4 Solving Applied Problems: Two Equations......Page 611
Translating for Success ......Page 619
Mid-Chapter Review......Page 624
8.5 Systems of Equations in Three Variables......Page 626
8.6 Solving Applied Problems: Three Equations......Page 633
Summary and Review......Page 640
Test ......Page 646
Cumulative Review......Page 648
9 More on Inequalities ......Page 650
9.1 Sets, Inequalities, and Interval Notation......Page 651
Translating for Success......Page 660
9.2 Intersections, Unions, and Compound Inequalities......Page 667
Mid-Chapter Review......Page 679
9.3 Absolute-Value Equations and Inequalities......Page 681
9.4 Systems of Inequalities in Two Variables......Page 692
Visualizing for Success......Page 701
Summary and Review ......Page 706
Test ......Page 712
Cumulative Review ......Page 714
10 Radical Expressions, Equations, and Functions ......Page 716
10.1 Radical Expressions and Functions......Page 717
10.2 Rational Numbers as Exponents ......Page 728
10.3 Simplifying Radical Expressions ......Page 735
10.4 Addition, Subtraction, and More Multiplication......Page 744
Mid-Chapter Review......Page 750
10.5 More on Division of Radical Expressions......Page 752
10.6 Solving Radical Equations......Page 757
10.7 Applications Involving Powers and Roots ......Page 768
Translating for Success......Page 770
10.8 The Complex Numbers......Page 775
Summary and Review......Page 786
Test ......Page 792
Cumulative Review......Page 794
11 Quadratic Equations and Functions......Page 796
11.1 The Basics of Solving Quadratic Equations......Page 797
11.2 The Quadratic Formula ......Page 811
11.3 Applications Involving Quadratic Equations......Page 818
Translating for Success ......Page 824
11.4 More on Quadratic Equations......Page 830
Mid-Chapter Review......Page 839
11.5 Graphing f (x) = a(x - h)2 + k......Page 841
11.6 Graphing f (x) = ax2 + bx + c......Page 850
Visualizing for Success......Page 855
11.7 Mathematical Modeling with Quadratic Functions......Page 859
11.8 Polynomial Inequalities and Rational Inequalities......Page 870
Summary and Review ......Page 878
Test......Page 884
Cumulative Review......Page 886
12 Exponential Functions and Logarithmic Functions......Page 888
12.1 Exponential Functions......Page 889
12.2 Composite Functions and Inverse Functions......Page 903
12.3 Logarithmic Functions......Page 920
12.4 Properties of Logarithmic Functions......Page 931
Mid-Chapter Review......Page 937
12.5 Natural Logarithmic Functions ......Page 939
Visualizing for Success......Page 944
12.6 Solving Exponential Equations and Logarithmic Equations......Page 948
12.7 Mathematical Modeling with Exponential Functions and Logarithmic Functions......Page 955
Translating for Success......Page 963
Summary and Review......Page 969
Test ......Page 977
Cumulative Review ......Page 980
Appendixes......Page 986
A Factoring and LCMs......Page 987
B Fraction Notation ......Page 992
C Exponential Notation and Order of Operations......Page 1001
D Introductory Algebra Review......Page 1006
E Mean, Median, and Mode ......Page 1008
F Synthetic Division......Page 1011
G Determinants and Cramer’s Rule ......Page 1014
H Elimination Using Matrices......Page 1019
I The Algebra of Functions ......Page 1023
J Distance, Midpoints, and Circles ......Page 1026
Answers......Page 1032
Guided Solutions......Page 1078
C......Page 1090
I......Page 1091
O......Page 1092
S......Page 1093
Y......Page 1094
C......Page 1096
E......Page 1097
G......Page 1098
L......Page 1099
P......Page 1100
R......Page 1101
S......Page 1102
Z......Page 1103

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