Elementary and Intermediate Algebra : Graphs and Models

by Bittinger, Marvin L.; Ellenbogen, David J.; Johnson, Barbara L.

• ISBN13: 9780321127082
• ISBN10: 0321127080
• Edition: 2nd
• Format: Hardcover
• Copyright: 2004-01-01
• Publisher: Addison Wesley

Summary

Geared toward helping students visualize and apply mathematics, Elementary and Intermediate Algebra: Graphs and Models, Second Edition is designed for a two-semester course. The authors make use of illustrations, graphs, and graphing technology to enhance students' mathematical skills. This is accomplished through Interactive Discoveries, Algebraic-Graphical Side-by-Sides, and the incorporation of real-data applications. In addition, students are taught problem-solving skills using the Bittinger hallmark five-step problem-solving process coupled with new Connecting the Concepts and Aha! exercises. And, as you have come to expect with any Bittinger text, we bring you a complete supplements package that now includes an Annotated Instructor's Edition and MyMathLab, Addison-Wesley's on-line course solution.

Table of Contents

Introduction to Algebraic Expressions
Introduction to Algebra	2	(11)
The Commutative, Associative, and Distributive Laws	13	(6)
Fraction Notation	19	(10)
Positive and Negative Real Numbers	29	(8)
Addition of Real Numbers	37	(7)
Subtraction of Real Numbers	44	(7)
Multiplication and Division of Real Numbers	51	(7)
Exponential Notation and Order of Operations	58	(16)
Summary and Review	69	(3)
Test	72	(2)
Equations, Inequalities, and Problem Solving
Solving Equations	74	(8)
Using the Principles Together	82	(10)
Formulas	92	(8)
Applications with Percent	100	(7)
Problem Solving	107	(14)
Solving Inequalities	121	(10)
Solving Applications with Inequalities	131	(15)
Summary and Review	140	(3)
Test	143	(3)
Introduction to Graphing and Functions
Reading Graphs, Plotting Points, and Estimating Values	146	(15)
Graphing Equations	161	(13)
Solving Equations by Graphing	174	(10)
Introduction to Functions	184	(16)
Domain and Range	200	(11)
The Algebra of Functions	211	(17)
Summary and Review	220	(3)
Test	223	(2)
Cumulative Review: Chapters 1-3	225	(3)
Linear Equations, Inequalities, and Graphs
Linear Equations and Intercepts	228	(9)
Rates and Models	237	(12)
Slope	249	(15)
Slope-Intercept Form	264	(15)
Introduction to Curve Fitting: Point-Slope Form	279	(17)
Intersections, Unions, and Compound Inequalities	296	(11)
Absolute-Value Equations and Inequalities	307	(17)
Summary and Review	317	(3)
Test	320	(4)
Polynomials
Exponents and Their Properties	324	(8)
Polynomials	332	(15)
Addition and Subtraction of Polynomials	347	(10)
Multiplication of Polynomials	357	(7)
Special Products	364	(9)
Polynomials in Several Variables	373	(10)
Division of Polynomials	383	(8)
Negative Exponents and Scientific Notation	391	(17)
Summary and Review	402	(3)
Test	405	(3)
Polynomials and Factoring
Introduction to Polynomial Factorizations and Equations	408	(16)
Trinomials of the Type x2 + bx + c	424	(11)
Trinomials of the Type ax2 + bx + c, a ≠ 1	435	(8)
Perfect-Square Trinomials and Differences of Squares	443	(9)
Sums or Differences of Cubes	452	(5)
Factoring: A General Strategy	457	(7)
Applications of Polynomial Equations	464	(20)
Summary and Review	477	(2)
Test	479	(2)
Cumulative Review: Chapters 1-6	481	(3)
Rational Expressions, Equations, and Functions
Rational Expressions and Functions	484	(13)
Multiplication and Division	497	(7)
Addition, Subtraction, and Least Common Denominators	504	(10)
Addition and Subtraction with Unlike Denominators	514	(9)
Complex Rational Expressions	523	(11)
Rational Equations	534	(7)
Applications Using Rational Equations and Proportions	541	(15)
Formulas, Applications, and Variation	556	(22)
Summary and Review	572	(3)
Test	575	(3)
Systems of Linear Equations and Problem Solving
Systems of Equations in Two Variables	578	(14)
Solving by Substitution or Elimination	592	(9)
Solving Applications: Systems of Two Equations	601	(14)
Systems of Equations in Three Variables	615	(8)
Solving Applications: Systems of Three Equations	623	(6)
Elimination Using Matrices	629	(7)
Determinants and Cramer's Rule	636	(6)
Business and Economics Applications	642	(9)
Linear Inequalities in Two Variables	651	(17)
Summary and Review	663	(3)
Test	666	(2)
Exponents and Radical Functions
Radical Expressions, Functions, and Models	668	(14)
Rational Numbers as Exponents	682	(8)
Multiplying Radical Expressions	690	(8)
Dividing Radical Expressions	698	(6)
Expressions Containing Several Radical Terms	704	(7)
Solving Radical Equations	711	(10)
Geometric Applications	721	(8)
The Complex Numbers	729	(17)
Summary and Review	737	(4)
Test	741	(1)
Cumulative Review: Chapters 1-9	742	(4)
Quadratic Functions and Equations
Quadratic Equations	746	(13)
The Quadratic Formula	759	(7)
Applications Involving Quadratic Equations	766	(8)
Studying Solutions of Quadratic Equations	774	(4)
Equations Reducible to Quadratic	778	(7)
Quadratic Functions and Their Graphs	785	(9)
More About Graphing Quadratic Functions	794	(8)
Problem Solving and Quadratic Functions	802	(15)
Polynomial and Rational Inequalities	817	(17)
Summary and Review	826	(4)
Test	830	(4)
Exponential and Logarithmic Functions
Composite and Inverse Functions	834	(16)
Exponential Functions	850	(10)
Logarithmic Functions	860	(9)
Properties of Logarithmic Functions	869	(8)
Natural Logarithms and Changing Bases	877	(7)
Solving Exponential and Logarithmic Equations	884	(8)
Applications of Exponential and Logarithmic Functions	892	(26)
Summary and Review	912	(3)
Test	915	(3)
Conic Sections
Conic Sections: Parabolas and Circles	918	(11)
Conic Sections: Ellipses	929	(8)
Conic Sections: Hyperbolas	937	(10)
Nonlinear Systems of Equations	947	(17)
Summary and Review	956	(2)
Test	958	(1)
Cumulative Review: Chapters 1-12	958	(6)
Sequences, Series, and Probability
Sequences and Series	964	(9)
Arithmetic Sequences and Series	973	(10)
Geometric Sequences and Series	983	(11)
The Binomial Theorem	994	(9)
Probability	1003	(15)
Summary and Review	1009	(3)
Test	1012	(1)
Cumulative Review: Chapters 1-13	1013	(5)
Elementary Algebra Review
Introduction to Algebraic Expressions	1018	(8)
Equations, Inequalities, and Problem Solving	1026	(11)
Introduction to Graphing and Functions	1037	(10)
Linear Equations, Inequalities, and Graphs	1047	(9)
Polynomials	1056	(9)
Polynomials and Factoring	1065
Answers	1	(1)
Index	1	(12)
Photo Credits	13
Index of Applications
Index of Calculator References
Videotape and CD Index