Introductory Algebra

by Bittinger, Marvin L

• ISBN13: 9780321269478
• ISBN10: 0321269470
• Edition: 10th
• Format: Paperback
• Copyright: 2007-01-01
• Publisher: Addison Wesley

Summary

The Bittinger System for Success-Make It Work For You! Building on its reputation for accurate content and a unified system of instruction, the Tenth Edition of 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	xiii
Index of Study Tips	xvii
Preface	xix
Prealgebra Review
Factoring and LCMs	2	(6)
Fraction Notation	8	(11)
Decimal Notation	19	(8)
Percent Notation	27	(6)
Exponential Notation and Order of Operations	33	(6)
Geometry	39	(19)
Summary and Review	51	(4)
Test	55	(3)
Introduction to Real Numbers and Algebraic Expressions
Introduction to Algebra	58	(8)
The Real Numbers	66	(12)
Addition of Real Numbers	78	(8)
Subtraction of Real Numbers	86	(7)
Multiplication of Real Numbers	93	(7)
Division of Real Numbers	100	(9)
Properties of Real Numbers	109	(13)
Simplifying Expressions; Order of Operations	122	(16)
Summary and Review	132	(3)
Test	135	(3)
Solving Equations and Inequalities
Solving Equations: The Addition Principle	138	(6)
Solving Equations: The Multiplication Principle	144	(6)
Using the Principles Together	150	(12)
Formulas	162	(8)
Applications of Percent	170	(8)
Applications and Problem Solving	178	(17)
Translating for Success	189	(6)
Solving Inequalities	195	(12)
Applications and Problem Solving with Inequalities	207	(17)
Summary and Review	215	(3)
Test	218	(2)
Cumulative Review: Chapters 1--2	220	(4)
Graphs of Linear Equations
Graphs and Applications of Linear Equations	224	(19)
More with Graphing and Intercepts	243	(12)
Visualizing for Success	248	(7)
Slope and Applications	255	(12)
Equations of Lines	267	(6)
Graphing Using the Slope and the y-Intercept	273	(7)
Parallel and Perpendicular Lines	280	(5)
Graphing Inequalities in Two Variables	285	(19)
Visualizing for Success	290	(3)
Summary and Review	293	(6)
Test	299	(5)
Polynomials: Operations
Integers as Exponents	304	(10)
Exponents and Scientific Notation	314	(13)
Introduction to Polynomials	327	(14)
Addition and Subtraction of Polynomials	341	(8)
Multiplication of Polynomials	349	(7)
Special Products	356	(11)
Visualizing for Success	362	(5)
Operations with Polynomials in Several Variables	367	(9)
Division of Polynomials	376	(16)
Summary and Review	383	(3)
Test	386	(2)
Cumulative Review: Chapters 1--4	388	(4)
Polynomials: Factoring
Introduction to Factoring	392	(9)
Factoring Trinomials of the Type x2 + bx + c	401	(10)
Factoring ax2 + bx + c, a ≠ 1: The FOIL Method	411	(9)
Factoring ax2 + bx + c, a ≠ 1: The ac-Method	420	(6)
Factoring Trinomial Squares and Differences of Squares	426	(10)
Factoring: A General Strategy	436	(8)
Solving Quadratic Equations by Factoring	444	(9)
Applications of Quadratic Equations	453	(19)
Translating for Success	459	(7)
Summary and Review	466	(3)
Test	469	(3)
Rational Expressions and Equations
Multiplying and Simplifying Rational Expressions	472	(11)
Division and Reciprocals	483	(5)
Least Common Multiples and Denominators	488	(4)
Adding Rational Expressions	492	(8)
Subtracting Rational Expressions	500	(8)
Solving Rational Equations	508	(10)
Applications Using Rational Equations and Proportions	518	(16)
Translating for Success	526	(8)
Complex Rational Expressions	534	(6)
Direct and Inverse Variation	540	(20)
Summary and Review	551	(3)
Test	554	(2)
Cumulative Review: Chapters 1--6	556	(4)
Systems of Equations
Systems of Equations in Two Variables	560	(7)
The Substitution Method	567	(7)
The Elimination Method	574	(10)
Applications and Problem Solving	584	(13)
Applications with Motion	597	(13)
Translating for Success	601	(3)
Summary and Review	604	(3)
Test	607	(3)
Radical Expressions and Equations
Introduction to Radical Expressions	610	(8)
Multiplying and Simplifying with Radical Expressions	618	(8)
Quotients Involving Radical Expressions	626	(8)
Addition, Subtraction, and More Multiplication	634	(8)
Radical Equations	642	(9)
Applications with Right Triangles	651	(15)
Translating for Success	654	(3)
Summary and Review	657	(3)
Test	660	(2)
Cumulative Review: Chapters 1--8	662	(4)
Quadratic Equations
Introduction to Quadratic Equations	666	(9)
Solving Quadratic Equations by Completing the Square	675	(9)
The Quadratic Formula	684	(7)
Formulas	691	(6)
Applications and Problem Solving	697	(8)
Translating for Success	700	(5)
Graphs of Quadratic Equations	705	(8)
Visualizing for Success	709	(4)
Functions	713	(23)
Summary and Review	724	(3)
Test	727	(2)
Cumulative Review/Final Examination: Chapters 1--9	729	(7)
APPENDIXES
A. Factoring Sums or Differences of Cubes	736	(4)
B. Finding Equations of Lines: Point-Slope Equation	740	(4)
C. Higher Roots	744	(4)
D. Sets	748	(4)
E. Mean, Median, and Mode	752
Answers (Student Edition only)	1	(47)
Photo Credits	48
Glossary	1	(1)
Index	1