Elementary and Intermediate Algebra

by Carson, Tom; Jordan, Bill E.

• ISBN13: 9780321368546
• ISBN10: 0321368541
• Edition: 2nd
• Format: Hardcover
• Copyright: 2007-01-01
• Publisher: Addison Wesley

Summary

While using Elementary and Intermediate Algebra, Second Edition, you will find that the text focuses on building competence and confidence. The authors present the concepts, show how to do the math, and explain the reasoning behind it in a language you can understand. The text ties concepts together using the Algebra Pyramid, which will help you see the big picture of algebra. The skills Carson presents through both the Learning Strategy boxes and the Study System, introduced in the Preface and incorporated throughout the text, will not only enhance your algebra experience but will also help you succeed in future college courses. Book jacket.

Table of Contents

Preface	vii
To the Student	xvii
Learning Styles Inventory	xxiii
Foundations of Algebra	1	(100)
Number Sets and the Structure of Algebra	2	(9)
Fractions	11	(13)
Adding and Subtracting Real Numbers; Properties of Real Numbers	24	(17)
Multiplying and Dividing Real Numbers; Properties of Real Numbers	41	(15)
Exponents, Roots, and Order of Operations	56	(14)
Translating Word Phrases to Expressions	70	(8)
Evaluating and Rewriting Expressions	78	(23)
Summary	89	(6)
Review Exercises	95	(4)
Practice Test	99	(2)
Solving Linear Equations and Inequalities	101	(88)
Equations, Formulas, and the Problem-Solving Process	102	(16)
The Addition Principle	118	(14)
The Multiplication Principle	132	(15)
Applying the Principles to Formulas	147	(6)
Translating Word Sentences to Equations	153	(11)
Solving Linear Inequalities	164	(25)
Summary	177	(5)
Review Exercises	182	(4)
Practice Test	186	(3)
Problem Solving	189	(78)
Ratios and Proportions	190	(15)
Percents	205	(16)
Problems with Two or More Unknowns	221	(15)
Rates	236	(8)
Investment and Mixture	244	(23)
Summary	252	(5)
Review Exercises	257	(5)
Practice Test	262	(2)
Cumulative Review Exercises	264	(3)
Graphing Linear Equations and Inequalities	267	(106)
The Rectangular Coordinate System	268	(9)
Graphing Linear Equations	277	(12)
Graphing Using Intercepts	289	(10)
Slope-Intercept Form	299	(14)
Point-Slope Form	313	(14)
Graphing Linear Inequalities	327	(10)
Introduction to Functions and Function Notation	337	(36)
Summary	355	(8)
Review Exercises	363	(7)
Practice Test	370	(3)
Polynomials	373	(86)
Exponents and Scientific Notation	374	(13)
Introduction to Polynomials	387	(13)
Adding and Subtracting Polynomials	400	(11)
Exponent Rules and Multiplying Monomials	411	(12)
Multiplying Polynomials; Special Products	423	(12)
Exponent Rules and Dividing Polynomials	435	(24)
Summary	451	(3)
Review Exercises	454	(4)
Practice Test	458	(1)
Factoring	459	(78)
Greatest Common Factor and Factoring by Grouping	460	(11)
Factoring Trinomials of the Form x2 + bx + c	471	(7)
Factoring Trinomials of the Form ax2 + bx + c, where a ≠ 1	478	(9)
Factoring Special Products	487	(9)
Strategies for Factoring	496	(6)
Solving Quadratic Equations by Factoring	502	(13)
Graphs of Quadratic Equations and Functions	515	(22)
Summary	525	(5)
Review Exercises	530	(3)
Practice Test	533	(1)
Cumulative Review Exercises	534	(3)
Rational Expressions and Equations	537	(92)
Simplifying Rational Expressions	538	(14)
Multiplying and Dividing Rational Expressions	552	(11)
Adding and Subtracting Rational Expressions with the Same Denominator	563	(7)
Adding and Subtracting Rational Expressions with Different Denominators	570	(12)
Complex Rational Expressions	582	(9)
Solving Equations Containing Rational Expressions	591	(10)
Applications with Rational Expressions	601	(28)
Summary	615	(7)
Review Exercises	622	(4)
Practice Test	626	(3)
More on Inequalities, Absolute Value, and Functions	629	(58)
Compound Inequalities	630	(14)
Equations Involving Absolute Value	644	(5)
Inequalities Involving Absolute Value	649	(8)
Functions and Graphing	657	(12)
Function Operations	669	(18)
Summary	676	(4)
Review Exercises	680	(5)
Practice Test	685	(2)
Systems of Equations	687	(96)
Solving Systems of Linear Equations Graphically	688	(11)
Solving Systems of Linear Equations by Substitution	699	(11)
Solving Systems of Linear Equations by Elimination	710	(12)
Solving Systems of Linear Equations in Three Variables	722	(14)
Solving Systems of Linear Equations Using Matrices	736	(11)
Solving Systems of Linear Equations Using Cramer's Rule	747	(10)
Solving Systems of Linear Inequalities	757	(26)
Summary	767	(6)
Review Exercises	773	(4)
Practice Test	777	(2)
Cumulative Review Exercises	779	(4)
Rational Exponents, Radicals, and Complex Numbers	783	(88)
Radical Expressions and Functions	784	(12)
Rational Exponents	796	(12)
Multiplying, Dividing, and Simplifying Radicals	808	(9)
Adding, Subtracting, and Multiplying Radical Expressions	817	(9)
Rationalizing Numerators and Denominators of Radical Expressions	826	(12)
Radical Equations and Problem Solving	838	(11)
Complex Numbers	849	(22)
Summary	857	(6)
Review Exercises	863	(6)
Practice Test	869	(2)
Quadratic Equations	871	(76)
Completing the Square	872	(13)
Solving Quadratic Equations Using the Quadratic Formula	885	(12)
Solving Equations That Are Quadratic in Form	897	(11)
Graphing Quadratic Functions	908	(15)
Solving Nonlinear Inequalities	923	(24)
Summary	936	(5)
Review Exercises	941	(4)
Practice Test	945	(2)
Exponential and Logarithmic Functions	947	(84)
Composite and Inverse Functions	948	(14)
Exponential Functions	962	(12)
Logarithmic Functions	974	(10)
Properties of Logarithms	984	(9)
Common and Natural Logarithms	993	(7)
Exponential and Logarithmic Equations with Applications	1000	(31)
Summary	1014	(9)
Review Exercises	1023	(6)
Practice Test	1029	(2)
Conic Sections	1031
The Parabola and Circle	1032	(14)
Ellipses and Hyperboals	1046	(14)
Nonlinear Systems of Equations	1060	(7)
Nonlinear Inequalities and Systems of Inequalities	1067
Summary	1075	(7)
Review Exercises	1082	(5)
Practice Test	1087	(2)
Cumulative Review Exercises	1089
Elementary Algebra Review
Review of Expressions	1	(2)
Review of Solving Linear Equations	3	(5)
Review of Graphing Linear Equations	8	(7)
Review of Polynomials	15	(5)
Review of Factoring	20
Appendix A Arithmetic Sequences and Series	1	(10)
Appendix B Geometric Sequences and Series	11	(10)
Appendix C The Binomial Theorem	21	(6)
Appendix D Permutations and Combinations	27	(6)
Appendix E Probability	33
Answers (Student edition only)	1	(1)
Glossary	1	(1)
Index	1	(1)
Applications Index	1	(1)
Photograph Credits	1