Introductory and Intermediate Algebra

by Bittinger, Marvin L.; Beecher, Judith A.

• ISBN13: 9780201773415
• ISBN10: 0201773414
• Edition: 2nd
• Format: Paperback
• Copyright: 2007-01-01
• Publisher: Addison Wesley

Summary

This text is designed to provide an interactive learning experience between the learner and the exposition, annotated examples, art, and the exercises you will find within. The first book on the market to introduce a "learn as you go" approach by including practice exercises in the margins of the text, this best seller uses real-data applications to help apply mathematics to your everyday life. Concepts and skills learned as you progress through the text are revisited again and again in the form of cumulative reviews, skill maintenance exercises, and synthesis exercises to help you retain what you have learned and see how it all relates together.

Table of Contents

Introduction to Real Numbers and Algebraic Expressions
Pretest	p. 2
Introduction to Algebra	p. 3
The Real Numbers	p. 12
Addition of Real Numbers	p. 24
Subtraction of Real Numbers	p. 32
Multiplication of Real Numbers	p. 40
Division of Real Numbers	p. 47
Properties of Real Numbers	p. 56
Simplifying Expressions; Order of Operations	p. 69
Summary and Review	p. 79
Test	p. 82
Solving Equations and Inequalities
Pretest	p. 86
Solving Equations: The Addition Principle	p. 87
Solving Equations: The Multiplication Principle	p. 93
Using the Principles Together	p. 99
Formulas	p. 111
Applications of Percent	p. 119
Applications and Problem Solving	p. 127
Solving Inequalities	p. 142
Applications and Problem Solving with Inequalities	p. 154
Summary and Review	p. 163
Test	p. 166
Graphs of Linear Equations
Pretest	p. 170
Graphs and Applications	p. 171
Graphing Linear Equations	p. 180
More with Graphing and Intercepts	p. 197
Slope and Applications	p. 208
Summary and Review	p. 220
Test	p. 225
Cumulative Review: Chapters 1-3	p. 229
Polynomials: Operations
Pretest	p. 234
Integers as Exponents	p. 235
Exponents and Scientific Notation	p. 245
Introduction to Polynomials	p. 258
Addition and Subtraction of Polynomials	p. 272
Multiplication of Polynomials	p. 280
Special Products	p. 287
Operations with Polynomials in Several Variables	p. 297
Division of Polynomials	p. 306
Summary and Review	p. 313
Test	p. 316
Polynomials: Factoring
Pretest	p. 320
Introduction to Factoring	p. 321
Factoring Trinomials of the Type x[superscript 2] + bx + c	p. 327
Factoring ax[superscript 2] + bx + c, a [not equal] 1: The FOIL Method	p. 337
Factoring ax[superscript 2] + bx + c, a [not equal] 1: The ac-Method	p. 346
Factoring Trinomial Squares and Differences of Squares	p. 352
Factoring Sums or Differences of Cubes	p. 362
Factoring: A General Strategy	p. 367
Solving Quadratic Equations by Factoring	p. 376
Applications of Quadratic Equations	p. 385
Summary and Review	p. 397
Test	p. 400
Rational Expressions and Equations
Pretest	p. 404
Multiplying and Simplifying Rational Expressions	p. 405
Division and Reciprocals	p. 416
Least Common Multiples and Denominators	p. 421
Adding Rational Expressions	p. 425
Subtracting Rational Expressions	p. 433
Complex Rational Expressions	p. 441
Solving Rational Equations	p. 447
Applications Using Rational Equations and Proportions	p. 457
Variation and Applications	p. 472
Summary and Review	p. 484
Test	p. 487
Cumulative Review: Chapters 1-6	p. 489
Graphs, Functions, and Applications
Pretest	p. 494
Functions and Graphs	p. 495
Finding Domain and Range	p. 510
Linear Functions: Graphs and Slope	p. 515
More on Graphing Linear Equations	p. 526
Finding Equations of Lines; Applications	p. 538
Summary and Review	p. 553
Test	p. 556
Systems of Equations
Pretest	p. 562
Systems of Equations in Two Variables	p. 563
Solving by Substitution	p. 572
Solving by Elimination	p. 578
Solving Applied Problems: Two Equations	p. 588
Systems of Equations in Three Variables	p. 601
Solving Applied Problems: Three Equations	p. 608
Business and Economics Applications	p. 616
Summary and Review	p. 623
Test	p. 626
More on Inequalities
Pretest	p. 630
Sets, Inequalities, and Interval Notation	p. 631
Intersections, Unions, and Compound Inequalities	p. 646
Absolute-Value Equations and Inequalities	p. 658
Systems of Inequalities in Two Variables	p. 669
Summary and Review	p. 684
Test	p. 687
Cumulative Review: Chapters 1-9	p. 689
Radical Expressions, Equations, and Functions
Pretest	p. 694
Radical Expressions and Functions	p. 695
Rational Numbers as Exponents	p. 707
Simplifying Radical Expressions	p. 714
Addition, Subtraction, and More Multiplication	p. 723
More on Division of Radical Expressions	p. 729
Solving Radical Equations	p. 735
Applications Involving Powers and Roots	p. 747
The Complex Numbers	p. 753
Summary and Review	p. 764
Test	p. 768
Quadratic Equations and Functions
Pretest	p. 772
The Basics of Solving Quadratic Equations	p. 773
The Quadratic Formula	p. 786
Applications Involving Quadratic Equations	p. 794
More on Quadratic Equations	p. 805
Graphing f(x) = a(x - h)[superscript 2] + k	p. 814
Graphing f(x) = ax[superscript 2] + bx + c	p. 825
Mathematical Modeling with Quadratic Functions	p. 834
Polynomial and Rational Inequalities	p. 848
Summary and Review	p. 857
Test	p. 860
Exponential and Logarithmic Functions
Pretest	p. 864
Exponential Functions	p. 865
Inverse and Composite Functions	p. 880
Logarithmic Functions	p. 898
Properties of Logarithmic Functions	p. 909
Natural Logarithmic Functions	p. 915
Solving Exponential and Logarithmic Equations	p. 924
Mathematical Modeling with Exponential and Logarithmic Functions	p. 931
Summary and Review	p. 945
Test	p. 949
Cumulative Review/Final Examination: Chapters 1-12	p. 952
Appendixes
Factoring and LCMs	p. 960
Fraction Notation	p. 965
Exponential Notation and Order of Operations	p. 974
Review of Factoring Polynomials	p. 979
Introductory Algebra Review	p. 988
Handling Dimension Symbols	p. 990
Mean, Median, and Mode	p. 993
Synthetic Division	p. 996
Determinants and Cramer's Rule	p. 999
Elimination Using Matrices	p. 1004
The Algebra of Functions	p. 1009
Distance, Midpoints, and Circles	p. 1012
Photo Credits	p. 1018
Answers	p. 1
Index	p. 1
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