Elementary and Intermediate Algebra (Hardcover)

, by Tussy, Alan S.; Gustafson, R. David

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ISBN: 9780534368838 | 0534368832
Cover: Hardcover
Copyright: 1/4/2000

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This text uses a blend of the traditional and the reform instructional approaches to teach students how to read, write, speak, and think mathematically using the language of algebra. The first seven chapters provide a complete course in elementary algebra, introducing the standard beginning topics at a pace that allows for developing a strong conceptual foundation. Chapter 8 is a transitional chapter that extends these topics to the intermediate level. Chapters 9-14 comprise a complete course in intermediate algebra.

An Introduction to Algebra	p. 1
Describing Numerical Relationships	p. 2
The Real Numbers	p. 12
Exponents and Order of Operations	p. 25
Algebraic Expressions	p. 36
Solving Equations	p. 48
Problem Solving	p. 61
Key Concept: Variables	p. 71
Accent on Teamwork	p. 72
Chapter Review	p. 73
Chapter Test	p. 79
Real Numbers, Equations, and Inequalities	p. 81
Adding and Subtracting Real Numbers	p. 82
Multiplying and Dividing Real Numbers	p. 93
Order of Operations and Evaluating Algebraic Expressions	p. 105
Simplifying Algebraic Expressions	p. 115
Solving Equations	p. 125
Formulas	p. 137
Problem Solving	p. 150
Inequalities	p. 162
Key Concept: Simplify and Solve	p. 175
Accent on Teamwork	p. 176
Chapter Review	p. 177
Chapter Test	p. 183
Cumulative Review Exercises	p. 184
Graphs, Linear Equations, and Functions	p. 187
Graphing Using the Rectangular Coordinate System	p. 188
Equations Containing Two Variables	p. 197
Graphing Linear Equations	p. 210
Rate of Change and the Slope of a Line	p. 224
Describing Linear Relationships	p. 236
Writing Linear Equations	p. 249
Functions	p. 257
Key Concept: Describing Linear Relationships	p. 267
Accent on Teamwork	p. 268
Chapter Review	p. 269
Chapter Test	p. 274
Exponents and Polynomials	p. 276
Natural-Number Exponents	p. 277
Zero and Negative Integer Exponents	p. 285
Scientific Notation	p. 293
Polynomials and Polynomial Functions	p. 300
Adding and Subtracting Polynomials	p. 311
Multiplying Polynomials	p. 318
Dividing Polynomials by Monomials	p. 328
Dividing Polynomials by Polynomials	p. 335
Key Concept: Polynomials	p. 342
Accent on Teamwork	p. 343
Chapter Review	p. 344
Chapter Test	p. 348
Cumulative Review Exercises	p. 349
Factoring and Quadratic Equations	p. 352
Factoring Out the Greatest Common Factor and Factoring by Grouping	p. 353
Factoring the Difference of Two Squares	p. 363
Factoring Trinomials	p. 368
Quadratic Equations	p. 379
The Quadratic Formula	p. 388
Graphing Quadratic Functions	p. 401
Key Concept: Quadratic Equations	p. 414
Accent on Teamwork	p. 415
Chapter Review	p. 416
Chapter Test	p. 420
Proportion and Rational Expressions	p. 422
Ratios	p. 423
Proportions and Similar Triangles	p. 431
Rational Expressions and Rational Functions	p. 441
Multiplying and Dividing Rational Expressions	p. 451
Adding and Subtracting Rational Expressions	p. 459
Complex Fractions	p. 469
Solving Equations That Contain Rational Expressions	p. 475
Applications of Equations That Contain Rational Expressions	p. 482
Key Concept: The Language of Algebra	p. 488
Accent on Teamwork	p. 489
Chapter Review	p. 490
Chapter Test	p. 494
Cumulative Review Exercises	p. 495
Solving Systems of Equations and Inequalities	p. 498
Solving Systems of Equations by Graphing	p. 499
Solving Systems of Equations by Substitution	p. 510
Solving Systems of Equations by Addition	p. 517
Applications of Systems of Equations	p. 524
Graphing Linear Inequalities	p. 535
Solving Systems of Linear Inequalities	p. 544
Key Concept: Systems of Equations and Inequalities	p. 554
Accent on Teamwork	p. 555
Chapter Review	p. 556
Chapter Test	p. 560
More Equations, Inequalities, and Factoring	p. 562
Review of Equations and Inequalities	p. 563
Solving Absolute Value Equations and Inequalities	p. 576
Review of Factoring	p. 585
Factoring the Sum and Difference of Two Cubes	p. 597
Review of Rational Expressions	p. 602
Review of Linear Functions	p. 614
Variation	p. 630
Key Concept: Factoring	p. 639
Accent on Teamwork	p. 640
Chapter Review	p. 641
Chapter Test	p. 645
Cumulative Review Exercises	p. 646
Radicals and Rational Exponents	p. 649
Radical Expressions and Radical Functions	p. 650
Radical Equations	p. 662
Rational Exponents	p. 671
Simplifying and Combining Radical Expressions	p. 681
Multiplying and Dividing Radical Expressions	p. 691
Geometric Applications of Radicals	p. 701
Key Concept: Radicals	p. 711
Accent on Teamwork	p. 712
Chapter Review	p. 713
Chapter Test	p. 718
Quadratic Equations, Functions, and Inequalities	p. 720
Completing the Square	p. 721
The Quadratic Formula	p. 731
Quadratic Functions and Their Graphs	p. 739
Complex Numbers	p. 753
The Discriminant and Equations That Can Be Written in Quadratic Form	p. 763
Quadratic and Other Nonlinear Inequalities	p. 769
Key Concept: Solving Quadratic Equations	p. 778
Accent on Teamwork	p. 779
Chapter Review	p. 780
Chapter Test	p. 784
Cumulative Review Exercises	p. 785
Exponential and Logarithmic Functions	p. 788
Algebra and Composition of Functions	p. 789
Inverses of Functions	p. 796
Exponential Functions	p. 806
Base-e Exponential Functions	p. 819
Logarithmic Functions	p. 828
Base-e Logarithms	p. 837
Properties of Logarithms	p. 843
Exponential and Logarithmic Equations	p. 853
Key Concept: Inverse Functions	p. 863
Accent on Teamwork	p. 864
Chapter Review	p. 865
Chapter Test	p. 870
More on Systems of Equations	p. 873
Solving Systems with Two Variables	p. 874
Solving Systems with Three Variables	p. 888
Solving Systems Using Matrices	p. 899
Solving Systems Using Determinants	p. 909
Key Concept: Systems of Equations	p. 920
Accent on Teamwork	p. 921
Chapter Review	p. 922
Chapter Test	p. 926
Cumulative Review Exercises	p. 927
Conic Sections; More Graphing	p. 930
The Circle and the Parabola	p. 931
The Ellipse	p. 943
The Hyperbola	p. 951
Solving Simultaneous Second-Degree Equations	p. 960
Key Concept: Conic Sections	p. 966
Accent on Teamwork	p. 967
Chapter Review	p. 968
Chapter Test	p. 970
Miscellaneous Topics	p. 971
The Binomial Theorem	p. 972
Arithmetic Sequences	p. 979
Geometric Sequences	p. 986
Permutations and Combinations	p. 995
Probability	p. 1004
Key Concept: The Language of Algebra	p. 1009
Accent on Teamwork	p. 1010
Chapter Review	p. 1011
Chapter Test	p. 1014
Cumulative Review Exercises	p. 1015
Arithmetic Fractions	p. 1
Synthetic Division	p. 14
Tables	p. 21
Powers and Roots	p. 21
Base-10 Logarithms	p. 22
Base-e Logarithms	p. 23
Answers to Selected Exercises	p. 24
Index	p. 1
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Elementary and Intermediate Algebra (Hardcover)

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