Intermediate Algebra

by Carson, Tom; Gillespie, Ellyn; Jordan, Bill E.

• ISBN13: 9780201729191
• ISBN10: 0201729199
• Format: Hardcover
• Copyright: 2005-01-01
• Publisher: Addison Wesley

Summary

Intermediate Algebra is a book for the student. The authors' goal is to help build students' confidence, their understanding and appreciation of math, and their basic skills by presenting an extremely user-friendly text that models a framework in which students can succeed. Unfortunately, students who place into developmental math courses often struggle with math anxiety due to bad experiences in past math courses. Developmental students often have never developed nor applied a study system in mathematics. To address these needs, the authors have framed three goals for Intermediate Algebra: 1) reduce math anxiety, 2) teach for understanding, and 3) foster critical thinking and enthusiasm. The authors' writing style is extremely student-friendly. They talk to students in their own language and walk them through the concepts, explaining not only how to do the math, but also why it works and where it comes from, rather than using the "monkey-see, monkey-do" approach that some books take.

Table of Contents

Preface	vi
To the Student	xii
Learning Styles Inventory	xviii
Real Numbers and Expressions	1	(54)
Sets and the Structure of Algebra	2	(11)
Operations with Real Numbers; Properties of Real Numbers	13	(13)
Exponents, Roots, and Order of Operations	26	(10)
Evaluating and Rewriting Expressions	36	(19)
Summary	47	(4)
Review Exercises	51	(3)
Practice Test	54	(1)
Linear Equations and Inequalities in One Variable	55	(78)
Linear Equations and Formulas	56	(11)
Solving Problems	67	(15)
Solving Linear Inequalities	82	(13)
Compound Inequalities	95	(13)
Equations Involving Absolute Value	108	(5)
Inequalities Involving Absolute Value	113	(20)
Summary	121	(6)
Review Exercises	127	(4)
Practice Test	131	(2)
Equations and Inequalities in Two Variables and Functions	133	(96)
Graphing Linear Equations	134	(16)
The Slope of a Line	150	(15)
The Equation of a Line	165	(14)
Graphing Linear Inequalities	179	(10)
Introduction to Functions and Function Notation	189	(40)
Summary	209	(6)
Review Exercises	215	(7)
Practice Test	222	(3)
Cumulative Review Exercises	225	(4)
Systems of Linear Equations and Inequalities	229	(88)
Solving Systems of Linear Equations in Two Variables	230	(21)
Solving Systems of Linear Equations in Three Variables	251	(8)
Solving Applications Using Systems of Equations	259	(15)
Solving Systems of Linear Equations Using Matrices	274	(11)
Cramer's Rule	285	(10)
Solving Systems of Linear Inequalities	295	(22)
Summary	305	(6)
Review Exercises	311	(4)
Practice Test	315	(2)
Polynomials	317	(72)
Exponents Scientific Notation	318	(14)
Polynomials and Polynomial Functions	332	(16)
Multiplying Polynomials	348	(12)
Dividing Polynomials	360	(10)
Synthetic Division and the Remainder Theorem	370	(19)
Summary	377	(5)
Review Exercises	382	(4)
Practice Test	386	(3)
Factoring	389	(62)
Greatest Common Factor and Factoring by Grouping	390	(9)
Factoring Trinomials	399	(12)
Factoring Special Products and Factoring Strategies	411	(10)
Solving Equations by Factoring	421	(30)
Summary	439	(5)
Review Exercises	444	(3)
Practice Test	447	(1)
Cumulative Review Exercises	448	(3)
Rational Expressions and Equations	451	(80)
Simplifying, Multiplying, and Dividing Rational Expressions	452	(17)
Adding and Subtracting Rational Expressions	469	(12)
Simplifying Complex Rational Expressions	481	(11)
Solving Equations Containing Rational Expressions	492	(10)
Applications with Rational Expressions; Variation	502	(29)
Summary	518	(7)
Review Exercises	525	(4)
Practice Test	529	(2)
Rational Exponents, Radicals, and Complex Numbers	531	(86)
Radical Expressions and Functions	532	(12)
Rational Exponents	544	(12)
Multiplying, Dividing, and Simplifying Radical Expressions	556	(10)
Adding, Subtracting, and Multiplying Radical Expressions	566	(9)
Rationalizing Numerators and Denominators of Radical Expressions	575	(11)
Radical Equations and Problem Solving	586	(10)
Complex Numbers	596	(21)
Summary	604	(7)
Review Exercises	611	(5)
Practice Test	616	(1)
Quadratic Equations	617	(82)
Completing the Square	618	(15)
Solving Quadratic Equations Using the Quadratic Formula	633	(14)
Solving Equations That Are in Quadratic Form	647	(10)
Graphing Quadratic Functions	657	(15)
Solving Nonlinear Inequalities	672	(27)
Summary	685	(5)
Review Exercises	690	(5)
Practice Test	695	(2)
Cumulative Review Exercises	697	(2)
Exponential and Logarithmic Functions	699	(84)
Composite and Inverse Functions	700	(15)
Exponential Functions	715	(12)
Logarithmic Functions	727	(10)
Properties of Logarithms	737	(9)
Common and Natural Logarithms	746	(7)
Exponential and Logarithmic Equations with Applications	753	(30)
Summary	766	(9)
Review Exercises	775	(6)
Practice Test	781	(2)
Conic Sections	783
The Parabola and the Circle	784	(16)
The Ellipse and Hyperbola	800	(15)
Nonlinear Systems of Equations	815	(8)
Nonlinear Inequalities and Systems of Inequalities	823
Summary	832	(8)
Review Exercises	840	(6)
Practice Test	846	(3)
Cumulative Review Exercises	849
Appendix A Arithmetic Sequences and Series	1	(10)
Appendix B Geometric Sequences and Series	11	(10)
Appendix C The Binomial Theorem	21	(8)
Appendix D Permutations and Combinations	29	(6)
Appendix E Probability	35
Glossary	1	(1)
Index	1	(1)
Applications Index	1	(1)
Photograph Credits	1	(1)
Answers	1