Intermediate Algebra

by Tussy, Alan S.; Gustafson, R. David

• ISBN13: 9780534355814
• ISBN10: 0534355811
• Format: Paperback
• Copyright: 1998-11-04
• Publisher: Brooks Cole

Summary

Contains solutions to the odd-numbered problems in the text.

Table of Contents

1 A Review of Basic Algebra	1	(90)
1.1 Describing Numerical Relationships	2	(9)
1.2 The Real Number System	11	(10)
1.3 Operations with Real Numbers	21	(14)
1.4 Simplifying Algebraic Expressions	35	(10)
1.5 Solving Linear Equations and Formulas	45	(12)
1.6 Using Equations to Solve Problems	57	(11)
1.7 More Applications of Equations	68	(13)
Key Concept: "Let x ="	81	(1)
Accent on Teamwork	82	(1)
Chapter Review	83	(6)
Chapter Test	89	(2)
2 Graphs, Equations of Lines, and Functions	91	(86)
2.1 The Rectangular Coordinate System	92	(11)
2.2 Graphing Linear Equations	103	(12)
2.3 Rate of Change and the Slope of a Line	115	(11)
2.4 Writing Equations of Lines	126	(12)
2.5 Introduction to Functions	138	(12)
2.6 Graphs of Functions	150	(12)
Key Concept: Functions	162	(1)
Accent on Teamwork	163	(1)
Chapter Review	164	(7)
Chapter Test	171	(4)
Cumulative Review Exercises	175	(2)
3 Systems of Equations	177	(62)
3.1 Solving Systems by Graphing	178	(9)
3.2 Solving Systems Algebraically	187	(13)
3.3 Systems with Three Variables	200	(11)
3.4 Solving Systems Using Matrices	211	(10)
3.5 Solving Systems Using Determinants	221	(10)
Key Concept: Systems of Equations	231	(1)
Accent on Teamwork	232	(1)
Chapter Review	233	(4)
Chapter Test	237	(2)
4 Inequalities	239	(59)
4.1 Solving Linear Inequalities	240	(9)
4.2 Solving Compound Inequalities	249	(10)
4.3 Solving Absolute Value Equations and Inequalities	259	(10)
4.4 Linear Inequalities in Two Variables	269	(9)
4.5 Systems of Linear Inequalities	278	(8)
Key Concept: Inequalities	286	(1)
Accent on Teamwork	287	(1)
Chapter Review	288	(5)
Chapter Test	293	(2)
Cumulative Review Exercises	295	(3)
5 Exponents, Polynomials, and Polynomial Functions	298	(83)
5.1 Exponents	299	(9)
5.2 Scientific Notation	308	(6)
5.3 Polynomials and Polynomial Functions	314	(12)
5.4 Multiplying Polynomials	326	(8)
5.5 The Greatest Common Factor and Factoring by Grouping	334	(7)
5.6 The Difference of Two Squares; the Sum and Difference of Two Cubes	341	(8)
5.7 Factoring Trinomials	349	(10)
5.8 Summary of Factoring Techniques	359	(3)
5.9 Solving Equations by Factoring	362	(10)
Key Concept: Polynomials	372	(1)
Accent on Teamwork	373	(1)
Chapter Review	374	(5)
Chapter Test	379	(2)
6 Rational Expressions	381	(81)
6.1 Rational Functions and Simplifying Rational Expressions	382	(11)
6.2 Proportion and Variation	393	(13)
6.3 Multiplying and Dividing Rational Expressions	406	(8)
6.4 Adding and Subtracting Rational Expressions	414	(9)
6.5 Complex Fractions	423	(8)
6.6 Equations Containing Rational Expressions	431	(12)
6.7 Dividing Polynomials	443	(7)
Key Concept: Expressions and Equations	450	(1)
Accent on Teamwork	451	(1)
Chapter Review	452	(5)
Chapter Test	457	(2)
Cumulative Review Exercises	459	(3)
7 Radicals and Rational Exponents	462	(69)
7.1 Radical Expressions and Radical Functions	463	(11)
7.2 Radical Equations	474	(9)
7.3 Rational Exponents	483	(10)
7.4 Simplifying and Combining Radical Expressions	493	(9)
7.5 Multiplying and Dividing Radical Expressions	502	(9)
7.6 Geometric Applications of Radicals	511	(11)
Key Concept: Radicals	522	(1)
Accent on Teamwork	523	(1)
Chapter Review	524	(5)
Chapter Test	529	(2)
8 Quadratic Equations, Functions, and Inequalities	531	(67)
8.1 Completing the Square	532	(9)
8.2 The Quadratic Formula	541	(9)
8.3 Quadratic Functions and Their Graphs	550	(12)
8.4 Complex Numbers	562	(10)
8.5 The Discriminant and Equations That Can Be Written in Quadratic Form	572	(7)
8.6 Quadratic and Other Nonlinear Inequalities	579	(8)
Key Concept: Solving Quadratic Equations	587	(1)
Accent on Teamwork	588	(1)
Chapter Review	589	(4)
Chapter Test	593	(2)
Cumulative Review Exercises	595	(3)
9 Exponential and Logarithmic Functions	598
9.1 Algebra and Composition of Functions	599	(7)
9.2 Inverses of Functions	606	(10)
9.3 Exponential Functions	616	(12)
9.4 Base-e Exponential Functions	628	(8)
9.5 Logarithmic Functions	636	(10)
9.6 Base-e Logarithms	646	(6)
9.7 Properties of Logarithms	652	(9)
9.8 Exponential and Logarithmic Equations	661	(9)
Key Concept: Inverse Functions	670	(1)
Accent on Teamwork	671	(1)
Chapter Review	672	(7)
Chapter Test	679	(2)
Cumulative Review Exercises	681
APPENDIX I Conic Sections	A-1	(22)
I.1 The Circle and the Parabola	A-1	(10)
I.2 The Ellipse and the Hyperbola	A-11	(12)
APPENDIX II The Binomial Theorem	A-23	(7)
II.1 The Binomial Theorem	A-23	(7)
APPENDIX III Tables	A-30	(3)
A Powers and Roots	A-30	(1)
B Base-10 Logarithms	A-31	(1)
C Base-e Logarithms	A-32	(1)
APPENDIX IV Answers to Selected Exercises	A-33
Index	I-1