Intermediate Algebra

by Bittinger, Marvin L.

• ISBN13: 9780201959604
• ISBN10: 0201959607
• Edition: 8th
• Format: Paperback
• Copyright: 1999-01-01
• Publisher: Addison Wesley

Summary

Building on its reputation for accurate content and a unified system of instruction, the tenth edition of Bittinger's Intermediate Algebra integrates success-building study tools, innovative pedagogy, and a comprehensive student-support package. Book jacket.

Table of Contents

Review of Basic Algebra	1	(68)
Pretest	2	(1)
Operations
The Set of Real Numbers	3	(10)
Improving Your Math Study Skills: Tips for Using This Textbook	10	(3)
Operations with Real Numbers	13	(10)
Exponential Notation and Order of Operations	23	(10)
Improving Your Math Study Skills: Forming Math Study Groups	28	(5)
Manipulations
Introduction to Algebraic Expressions	33	(6)
Equivalent Algebraic Expressions	39	(8)
Simplifying Algebraic Expressions	47	(8)
Improving Your Math Study Skills: Getting Started in a Math Class	50	(5)
Properties of Exponents and Scientific Notation	55	(14)
Summary and Review Exercises	65	(2)
Test	67	(2)
Solving Linear Equations and Inequalities	69	(78)
Pretest	70	(1)
Solving Equations	71	(12)
Formulas and Applications	83	(8)
Applications and Problem Solving	91	(16)
Improving Your Math Study Skills: Extra Tips on Problem Solving	100	(7)
Sets, Interval Notation, and Inequalities	107	(14)
Intersections, Unions, and Compound Inequalities	121	(12)
Improving Your Math Study Skills: Learning Resources and Time Management	128	(5)
Absolute-Value Equations and Inequalities	133	(14)
Summary and Review Exercises	143	(2)
Test	145	(2)
Graphs, Functions, and Applications	147	(80)
Pretest	148	(1)
Graphs of Equations	149	(16)
Functions and Graphs	165	(14)
Finding Domain and Range	179	(6)
Linear Functions: Graphs and Slope	185	(8)
More on Graphing Linear Equations	193	(10)
Finding Equations of Lines	203	(6)
Mathematical Modeling with Linear Functions	209	(18)
Improving Your Math Study Skills: Better Test Taking	214	(5)
Summary and Review Exercises	219	(2)
Test	221	(4)
Cumulative Review: Chapters R-2	225	(2)
Systems of Equations	227	(72)
Pretest	228	(1)
Systems of Equations in Two Variables	229	(8)
Solving by Substitution or Elimination	237	(14)
Improving Your Math Study Skills: Studying for Tests and Making the Most of Tutoring Sessions	246	(5)
Solving Applied Problems: Systems of Two Equations	251	(12)
Systems of Equations in Three Variables	263	(6)
Solving Applied Problems: Systems of Three Equations	269	(6)
Systems of Linear Inequalities in Two Variables	275	(12)
Business and Economics Applications	287	(12)
Summary and Review Exercises	293	(2)
Test	295	(2)
Cumulative Review: Chapters R-3	297	(2)
Polynomials and Polynomial Functions	299	(74)
Pretest	300	(1)
Introduction to Polynomials and Polynomial Functions	301	(12)
Multiplication of Polynomials	313	(10)
Improving Your Math Study Skills: A Checklist of Your Study Skills	318	(5)
Introduction to Factoring	323	(10)
Factoring Trinomials ax2 + bx + c, a ≠ 1	333	(8)
Special Factoring	341	(10)
Factoring: A General Strategy	351	(4)
Applications of Polynomial Equations and Functions	355	(18)
Summary and Review Exercises	367	(2)
Test	369	(2)
Cumulative Review: Chapters R-4	371	(2)
Rational Expressions, Equations, and Functions	373	(78)
Pretest	374	(1)
Rational Expressions and Functions: Multiplying, Dividing, and Simplifying	375	(12)
LCMs, LCDs, Addition, and Subtraction	387	(10)
Division of Polynomials	397	(8)
Complex Rational Expressions	405	(6)
Solving Rational Equations	411	(8)
Improving Your Math Study Skills: Are You Calculating or Solving?	416	(3)
Applications and Problem Solving	419	(12)
Formulas and Applications	431	(4)
Variation and Applications	435	(16)
Summary and Review Exercises	445	(2)
Test	447	(2)
Cumulative Review: Chapters R-5	449	(2)
Radical Expressions, Equations, and Functions	451	(70)
Pretest	452	(1)
Radical Expressions and Functions	453	(10)
Rational Numbers as Exponents	463	(6)
Simplifying Radical Expressions	469	(8)
Addition, Subtraction, and More Multiplication	477	(6)
More on Division of Radical Expressions	483	(6)
Improving Your Math Study Skills: Classwork During and After Class	486	(3)
Solving Radical Equations	489	(10)
Applications Involving Powers and Roots	499	(6)
The Complex Numbers	505	(16)
Summary and Review Exercises	515	(2)
Test	517	(2)
Cumulative Review: Chapters R-6	519	(2)
Quadratic Equations and Functions	521	(82)
Pretest	522	(1)
The Basics of Solving Quadratic Equations	523	(14)
The Quadratic Formula	537	(6)
Applications Involving Quadratic Equations	543	(10)
More on Quadratic Equations	553	(10)
Improving Your Math Study Skills: How Many Women Have Won the Ultimate Math Contest?	558	(5)
Graphs of Quadratic Functions of the Type f(x) = a(x - h)2 + k	563	(8)
Graphs of Quadratic Functions of the Type f(x) = ax2 + bx + c	571	(6)
Mathematical Modeling with Quadratic Functions	577	(12)
Polynomial and Rational Inequalities	589	(14)
Summary and Review Exercises	597	(2)
Test	599	(2)
Cumulative Review: Chapters R-7	601	(2)
Exponential and Logarithmic Functions	603	(78)
Pretest	604	(1)
Exponential Functions	605	(12)
Inverse and Composite Functions	617	(16)
Logarithmic Functions	633	(10)
Properties of Logarithmic Functions	643	(6)
Natural Logarithmic Functions	649	(6)
Solving Exponential and Logarithmic Equations	655	(6)
Mathematical Modeling with Exponential and Logarithmic Functions	661	(20)
Improving Your Math Study Skills: Preparing for a Final Exam	670	(5)
Summary and Review Exercises	675	(2)
Test	677	(2)
Cumulative Review: Chapters R-8	679	(2)
Conic Sections	681	(46)
Pretest	682	(1)
Conic Sections: Parabolas and Circles	683	(12)
Conic Sections: Ellipses	695	(8)
Improving Your Math Study Skills: Study Tips for Trouble Spots	700	(3)
Conic Sections: Hyperbolas	703	(6)
Nonlinear Systems of Equations	709	(18)
Summary and Review Exercises	719	(2)
Test	721	(2)
Cumulative Review: Chapters R-9	723	(4)
Final Examination	727
Appendixes
A Handling Dimension Symbols	731
B Determinants and Cramer's Rule	734
C Elimination Using Matrices	739
D The Algebra of Functions	744
Answers	A-1
Index	I-1