Intermediate Algebra (with CD-ROM)

by Gustafson, R. David

• ISBN13: 9780534384845
• ISBN10: 0534384846
• Edition: 6th
• Format: Hardcover
• Copyright: 2001-10-31
• Publisher: Brooks Cole

Summary

Known for its clear, no-nonsense explanations as well as for mathematical accuracy and rigor, Gustafson and Frisk has long been counted among the tried-and-true algebra texts. The Sixth Edition features an early introduction to functions. Long-time Gustafson/Frisk users will appreciate the updates the authors have made while non-users now have plenty of reasons to take a closer look.

Table of Contents

Basic Concepts	1	(79)
The Real Number System	2	(11)
Arithmetic and Properties of Real Numbers	13	(13)
Exponents	26	(12)
Scientific Notation	38	(7)
Solving Equations	45	(10)
Using Equations to Solve Problems	55	(11)
More Applications of Equations	66	(14)
Projects	73	(1)
Chapter Summary	74	(4)
Chapter Test	78	(2)
Graphs, Equations of Lines, and Functions	80	(65)
Graphing Linear Equations	81	(15)
Slope of a Nonvertical Line	96	(10)
Writing Equations of Lines	106	(12)
Introduction to Functions	118	(10)
Graphs of Other Functions	128	(17)
Projects	138	(1)
Chapter Summary	139	(4)
Chapter Test	143	(1)
Cumulative Review Exercises	143	(2)
Systems of Equations	145	(55)
Solutions by Graphing	146	(8)
Solution by Elimination	154	(15)
Solutions of Three Equations in Three Variables	169	(9)
Solution by Matrices	178	(8)
Solution by Determinants	186	(14)
Projects	196	(1)
Chapter Summary	197	(1)
Chapter Test	198	(2)
Inequalities	200	(53)
Linear Inequalities	201	(10)
Equations and Inequalities with Absolute Values	211	(12)
Linear Inequalities in Two Variables	223	(8)
Systems of Inequalities	231	(6)
Linear Programming	237	(16)
Projects	246	(1)
Chapter Summary	247	(3)
Chapter Test	250	(1)
Cumulative Review Exercises	251	(2)
Polynomials and Polynomial Functions	253	(70)
Polynomials and Polynomial Functions	254	(9)
Adding and Subtracting Polynomials	263	(5)
Multiplying Polynomials	268	(10)
The Greatest Common Factor and Factoring by Grouping	278	(9)
The Difference of Two Squares; the Sum and Difference of Two Cubes	287	(7)
Factoring Trinomials	294	(11)
Summary of Factoring Techniques	305	(3)
Solving Equations by Factoring	308	(15)
Projects	316	(2)
Chapter Summary	318	(4)
Chapter Test	322	(1)
Rational Expressions	323	(81)
Rational Functions and Simplifying Rational Expressions	324	(11)
Proportion and Variation	335	(13)
Multiplying and Dividing Rational Expressions	348	(8)
Adding and Subtracting Rational Expressions	356	(9)
Complex Fractions	365	(9)
Equations Containing Rational Expressions	374	(10)
Dividing Polynomials	384	(6)
Synthetic Division (Optional)	390	(14)
Projects	397	(1)
Chapter Summary	398	(3)
Chapter Test	401	(1)
Cumulative Review Exercises	402	(2)
Radicals and Rational Exponents	404	(60)
Radical Expressions	405	(12)
Applications of Radicals	417	(7)
Rational Exponents	424	(8)
Simplifying and Combining Radical Expressions	432	(9)
Multiplying and Dividing Radical Expressions	441	(8)
Radical Equations	449	(15)
Projects	456	(2)
Chapter Summary	458	(4)
Chapter Test	462	(2)
Quadratic Functions, Inequalities, and Algebra of Functions	464	(70)
Completing the Square and the Quadratic Formula	465	(11)
Graphs of Quadratic Functions	476	(11)
Complex Numbers	487	(10)
The Discriminant and Equations That Can Be Written in Quadratic Form	497	(6)
Quadratic and Other Nonlinear Inequalities	503	(7)
Algebra and Composition of Functions	510	(7)
Inverses of Functions	517	(17)
Projects	526	(1)
Chapter Summary	527	(4)
Chapter Test	531	(1)
Cumulative Review Exercises	532	(2)
Exponential and Logarithmic Functions	534	(61)
Exponential Functions	535	(12)
Base-e Exponential Functions	547	(7)
Logarithmic Functions	554	(9)
Base-e Logarithms	563	(6)
Properties of Logarithms	569	(9)
Exponential and Logarithmic Equations	578	(17)
Projects	587	(2)
Chapter Summary	589	(4)
Chapter Test	593	(2)
More Graphing and Conic Sections	595	(51)
The Circle and the Parabola	596	(13)
The Ellipse	609	(9)
The Hyperbola	618	(10)
Solving Simultaneous Second-Degree Equations	628	(6)
Piecewise-Defined Functions and the Greatest Integer Function	634	(12)
Projects	640	(1)
Chapter Summary	641	(2)
Chapter Test	643	(1)
Cumulative Review Exercises	644	(2)
Miscellaneous Topics	646
The Binomial Theorem	647
The nth Term of a Binomial Expansion	653
Arithmetic Sequences	655
Geometric Sequences	662
Infinite Geometric Sequences	670
Permutations and Combinations	673
Projects	683
Chapter Summary	684
Chapter Test	687
Cumulative Review Exercises	688
Appendix I Symmetries of Graphs	A-1
Appendix II Sample Final Examination	A-6
Appendix III Tables	A-9
Table A Powers and Roots	A-9
Table B Base-10 Logarithms	A-10
Table C Base-e Logarithms	A-11
Appendix IV Answers to Selected Exercises	A-13
Index	I-1