Intermediate Algebra (with Interactive Video Skillbuilder CD-ROM and iLrn™ Student Tutorial Printed Access Card)

by Kaufmann, Jerome E.; Schwitters, Karen L.

• ISBN13: 9780495105527
• ISBN10: 049510552X
• Edition: 8th
• Format: Hardcover
• Copyright: 2006-01-03
• Publisher: Brooks Cole

Summary

Make math a snap with INTERMEDIATE ALGEBRA. Using everyday language and lots of examples, Kaufman and Schwitters show you how to apply algebra concepts and ace the test. This volume also comes with Interactive Skillbuilder CD-ROM. This program is packed with over 8 hours of video instruction to help it all make sense. And if tutoring is in your future, with this edition you get 40 hours of free tutoring per week through Personal Tutor with SMARTHINKING, the live online tutoring program that connects you with a live algebra expert who has a copy of your book. Plus, you'll get the powerful web-based iLrn Homework program that makes your assignments a breeze and gives you step-by-step by help with problem-solving. Get the grade you need with INTERMEDIATE ALGEBRA.

Table of Contents

Basic Concepts and Properties	1	(43)
Sets, Real Numbers, and Numerical Expressions	2	(9)
Operations with Real Numbers	11	(11)
Properties of Real Numbers and the Use of Exponents	22	(8)
Algebraic Expressions	30	(14)
Summary	40	(1)
Review Problem Set	41	(2)
Test	43	(1)
Equations, Inequalities, and Problem Solving	44	(64)
Solving First-Degree Equations	45	(8)
Equations Involving Fractional Forms	53	(8)
Equations Involving Decimals and Problem Solving	61	(8)
Formulas	69	(11)
Inequalities	80	(7)
More on Inequalities and Problem Solving	87	(9)
Equations and Inequalities Involving Absolute Value	96	(12)
Summary	103	(1)
Review Problem Set	104	(3)
Test	107	(1)
Polynomials	108	(57)
Polynomials: Sums and Differences	109	(6)
Products and Quotients of Monomials	115	(7)
Multiplying Polynomials	122	(7)
Factoring: Use of the Distributive Property	129	(8)
Factoring: Difference of Two Squares and Sum or Difference of Two Cubes	137	(6)
Factoring Trinomials	143	(8)
Equations and Problem Solving	151	(14)
Summary	159	(1)
Review Problem Set	160	(2)
Test	162	(1)
Cumulative Review Problem Set (Chapters 1--3)	163	(2)
Rational Expressions	165	(59)
Simplifying Rational Expressions	166	(6)
Multiplying and Dividing Rational Expressions	172	(5)
Adding and Subtracting Rational Expressions	177	(8)
More on Rational Expressions and Complex Fractions	185	(10)
Dividing Polynomials	195	(6)
Fractional Equations	201	(8)
More Fractional Equations and Applications	209	(15)
Summary	220	(1)
Review Problem Set	221	(2)
Test	223	(1)
Exponents and Radicals	224	(54)
Using Integers as Exponents	225	(7)
Roots and Radicals	232	(12)
Combining Radicals and Simplifying Radicals That Contain Variables	244	(6)
Products and Quotients Involving Radicals	250	(6)
Equations Involving Radicals	256	(5)
Merging Exponents and Roots	261	(7)
Scientific Notation	268	(10)
Summary	274	(1)
Review Problem Set	275	(2)
Test	277	(1)
Quadratic Equations and Inequalities	278	(55)
Complex Numbers	279	(8)
Quadratic Equations	287	(8)
Completing the Square	295	(5)
Quadratic Formula	300	(8)
More Quadratic Equations and Applications	308	(12)
Quadratic and Other Nonlinear Inequalities	320	(13)
Summary	327	(1)
Review Problem Set	328	(2)
Test	330	(1)
Cumulative Review Problem Set (Chapters 1--6)	331	(2)
Linear Equations and Inequalities in Two Variables	333	(58)
Rectangular Coordinate System and Linear Equations	334	(15)
Graphing Nonlinear Equations	349	(8)
Linear Inequalities in Two Variables	357	(5)
Distance and Slope	362	(12)
Determining the Equation of a Line	374	(17)
Summary	387	(1)
Review Problem Set	388	(2)
Test	390	(1)
Conic Sections	391	(37)
Graphing Parabolas	392	(10)
More Parabolas and Some Circles	402	(8)
Graphing Ellipses	410	(5)
Graphing Hyperbolas	415	(13)
Summary	425	(1)
Review Problem Set	425	(2)
Test	427	(1)
Functions	428	(58)
Relations and Functions	429	(7)
Functions: Their Graphs and Applications	436	(14)
Graphing Made Easy Via Transformations	450	(9)
Composition of Functions	459	(6)
Inverse Functions	465	(9)
Direct and Inverse Variations	474	(12)
Summary	482	(1)
Review Problem Set	483	(2)
Test	485	(1)
Systems of Equations	486	(64)
Systems of Two Linear Equations in Two Variables	487	(8)
Elimination-by-Addition Method	495	(10)
Systems of Three Linear Equations in Three Variables	505	(9)
Matrix Approach to Solving Systems	514	(6)
Determinants	520	(5)
3 X 3 Determinants and Systems of Three Linear Equations in Three Variables	525	(7)
Systems Involving Nonlinear Equations and Systems of Inequalities	532	(18)
Summary	541	(1)
Review Problem Set	542	(2)
Test	544	(2)
Cumulative Review Problem Set (Chapters 1--10)	546	(4)
Exponential and Logarithmic Functions	550	(47)
Exponents and Exponential Functions	551	(7)
Applications of Exponential Functions	558	(10)
Logarithms	568	(10)
Logarithmic Functions	578	(7)
Exponential Equations, Logarithmic Equations, and Problem Solving	585	(12)
Summary	594	(1)
Review Problem Set	595	(1)
Test	596	(1)
Sequences and Binomial Expansions	597	(32)
Arithmetic Sequences	598	(5)
Sums of Arithmetic Sequences	603	(5)
Geometric Sequences	608	(7)
Infinite Geometric Sequences	615	(5)
Binomial Expansions	620	(9)
Summary	625	(1)
Review Problem Set	625	(2)
Test	627	(2)
Appendix A: Prime Numbers and Operations with Fractions	629	(12)
Answers to Odd-Numbered Problems and All Chapter Review, Chapter Test, Cumulative Review, and Appendix A Problems	641
Index	1