Introductory and Intermediate Algebra

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

• ISBN13: 9780321319098
• ISBN10: 0321319095
• Edition: 4th
• Format: Paperback
• Copyright: 2011-01-01
• Publisher: Addison Wesley

Summary

Building on its reputation for accurate content and a unified system of instruction, the Bittinger paperback series integrates success-building study tools, innovative pedagogy, and a comprehensive instructional support package with time-tested teaching techniques.

Table of Contents

Index of Applications	xi
Index of Study Tips	xvii
Preface	xix
Introduction to Real Numbers and Algebraic Expressions
Introduction to Algebra	2	(8)
The Real Numbers	10	(12)
Addition of Real Numbers	22	(8)
Subtraction of Real Numbers	30	(7)
Multiplication of Real Numbers	37	(7)
Division of Real Numbers	44	(9)
Properties of Real Numbers	53	(13)
Simplifying Expressions: Order of Operations	66	(16)
Summary and Review	76	(3)
Test	79	(3)
Solving Equations and Inequalities
Solving Equations: The Addition Principle	82	(6)
Solving Equations: The Multiplication Principle	88	(6)
Using the Principles Together	94	(12)
Formulas	106	(8)
Applications of Percent	114	(8)
Applications and Problem Solving	122	(17)
Translating for Success	133	(6)
Solving Inequalities	139	(12)
Applications and Problem Solving with Inequalities	151	(15)
Summary and Review	160	(3)
Test	163	(3)
Graphs of Linear Equations
Introduction to Graphing	166	(7)
Graphing Linear Equations	173	(13)
More with Graphing and Intercepts	186	(12)
Visualizing for Success	191	(7)
Slope and Applications	198	(24)
Summary and Review	210	(4)
Test	214	(3)
Cumulative Review: Chapters 1--3	217	(5)
Polynomials: Operations
Integers as Exponents	222	(10)
Exponents and Scientific Notation	232	(13)
Introduction to Polynomials	245	(14)
Addition and Subtraction of Polynomials	259	(8)
Multiplication of Polynomials	267	(7)
Special Products	274	(12)
Visualizing for Success	280	(6)
Operations with Polynomials in Several Variables	286	(9)
Division of Polynomials	295	(13)
Summary and Review	302	(3)
Test	305	(3)
Polynomials: Factoring
Introduction to Factoring	308	(9)
Factoring Trinomials of the Type x2 + bx + c	317	(10)
Factoring ax2 + bx + c, a ≠ 1: The Foil Method	327	(9)
Factoring ax2 + bx + c, a ≠ 1: The ac-Method	336	(6)
Factoring Trinomial Squares and Differences of Squares	342	(10)
Factoring Sums or Differences of Cubes	352	(5)
Factoring: A General Strategy	357	(9)
Solving Quadratic Equations by Factoring	366	(9)
Applications of Quadratic Equations	375	(19)
Translating for Success	381	(7)
Summary and Review	388	(3)
Test	391	(3)
Rational Expressions and Equations
Multiplying and Simplifying Rational Expressions	394	(11)
Division and Reciprocals	405	(5)
Least Common Multiples and Denominators	410	(4)
Adding Rational Expressions	414	(8)
Subtracting Rational Expressions	422	(8)
Complex Rational Expressions	430	(6)
Solving Rational Equations	436	(10)
Applications Using Rational Equations and Proportions	446	(16)
Translating for Success	454	(8)
Variation and Applications	462	(20)
Summary and Review	473	(3)
Test	476	(2)
Cumulative Review: Chapters 1--6	478	(4)
Graphs, Functions, and Applications
Functions and Graphs	482	(15)
Finding Domain and Range	497	(5)
Linear Functions: Graphs and Slope	502	(11)
More on Graphing Linear Equations	513	(13)
Visualizing for Success	521	(5)
Finding Equations of Lines: Applications	526	(22)
Summary and Review	540	(3)
Test	543	(5)
Systems of Equations
Systems of Equations in Two Variables	548	(9)
Solving by Substitution	557	(6)
Solving by Elimination	563	(10)
Solving Applied Problems: Two Equations	573	(14)
Translating for Success	582	(5)
Systems of Equations in Three Variables	587	(7)
Solving Applied Problems: Three Equations	594	(8)
Business and Economics Applications	602	(12)
Summary and Review	608	(3)
Test	611	(3)
More on Inequalities
Sets, Inequalities, and Interval Notation	614	(16)
Translating for Success	623	(7)
Intersections, Unions, and Compound Inequalities	630	(12)
Absolute-Value Equations and Inequalities	642	(11)
Systems of Inequalities in Two Variables	653	(25)
Visualizing for Success	663	(3)
Summary and Review	666	(6)
Test	672	(2)
Cumulative Review: Chapters 1--9	674	(4)
Radical Expressions, Equations, and Functions
Radical Expressions and Functions	678	(12)
Rational Numbers as Exponents	690	(7)
Simplifying Radical Expressions	697	(9)
Addition, Subtraction, and More Multiplication	706	(6)
More on Division of Radical Expressions	712	(5)
Solving Radical Equations	717	(12)
Applications Involving Powers and Roots	729	(7)
Translating for Success	731	(5)
The Complex Numbers	736	(18)
Summary and Review	748	(3)
Test	751	(3)
Quadratic Equations and Functions
The Basics of Solving Quadratic Equations	754	(14)
The Quadratic Formula	768	(8)
Applications Involving Quadratic Equations	776	(12)
Translating for Success	782	(6)
More on Quadratic Equations	788	(9)
Graphing f(x) = a(x - h)2 + k	797	(11)
Graphing f(x) = ax2 + bx + c	808	(10)
Visualizing for Success	813	(5)
Mathematical Modeling with Quadratic Functions	818	(14)
Polynomial and Rational Inequalities	832	(14)
Summary and Review	840	(3)
Test	843	(3)
Exponential and Logarithmic Functions
Exponential Functions	846	(14)
Inverse and Composite Functions	860	(18)
Logarithmic Functions	878	(11)
Properties of Logarithmic Functions	889	(6)
Natural Logarithmic Functions	895	(9)
Visualizing for Success	900	(4)
Solving Exponential and Logarithmic Equations	904	(7)
Mathematical Modeling with Exponential and Logarithmic Functions	911	(29)
Translating for Success	920	(6)
Summary and Review	926	(4)
Test	930	(3)
Cumulative Review/Final Examination: Chapters 1--12	933	(7)
APPENDIXES
A. Factoring and LCMs	940	(5)
B. Fraction Notation	945	(9)
C. Exponential Notation and Order of Operations	954	(5)
D. Review of Factoring Polynomials	959	(9)
E. Introductory Algebra Review	968	(2)
F. Handling Dimension Symbols	970	(3)
G. Mean, Median, and Mode	973	(3)
H. Synthetic Division	976	(3)
I. Determinants and Cramer's Rule	979	(5)
J. Elimination Using Matrices	984	(5)
K. The Algebra of Functions	989	(3)
L. Distance, Midpoints, and Circles	992	(6)
Photo Credits	998
Answers (Student Edition only)	1	(1)
Glossary	1	(1)
Index	1