Intermediate Algebra

by McKeague, Charles P.

• ISBN13: 9780030262869
• ISBN10: 0030262860
• Edition: 6th
• Format: Hardcover
• Copyright: 1999-11-01
• Publisher: Cengage Learning

Summary

The sixth edition of Intermediate Algebra is intended for schools that teach the course in a lab or self-paced environment. Students get ready for class by answering the Getting Ready for Class questions. This text is positioned for a one-semester or one-quarter course in algebra (Intermediate Algebra/Developmental Mathematics), that follows beginning algebra, taught at the community college or university level.

Table of Contents

Preface to the Instructor	xi
Preface to the Student	xvii
New Features of This Edition	xix
Basic Properties and Definitions	1	(66)
Fundamental Definitions and Notation	3	(8)
The Real Numbers	11	(8)
Properties of Real Numbers	19	(11)
Arithmetic with Real Numbers	30	(10)
Conditional Statements	40	(8)
Number Sequences and Inductive Reasoning	48	(19)
Summary	59	(3)
Review	62	(2)
Projects	64	(1)
Test	65	(2)
Equations and Inequalities in One Variable	67	(68)
Linear Equations in One Variable	69	(9)
Formulas	78	(12)
Applications	90	(16)
Linear Inequalities in One Variable	106	(8)
Equations with Absolute Value	114	(4)
Inequalities Involving Absolute Value	118	(17)
Summary	125	(2)
Review	127	(2)
Projects	129	(2)
Test	131	(2)
Cumulative Review	133	(2)
Equations and Inequalities in Two Variables	135	(86)
Paired Data and the Rectangular Coordinate System	137	(14)
The Slope of a Line	151	(11)
The Equation of a Line	162	(11)
Linear Inequalities in Two Variables	173	(7)
Introduction to Functions	180	(13)
Function Notation	193	(9)
Variation	202	(19)
Summary	213	(2)
Review	215	(2)
Projects	217	(2)
Test	219	(1)
Cumulative Review	220	(1)
Systems of Linear Equations	221	(56)
Systems of Linear Equations in Two Variables	223	(10)
Systems of Linear Equations in Three Variables	233	(8)
Introduction to Determinants	241	(7)
Cramer's Rule	248	(5)
Applications	253	(24)
Summary	268	(2)
Review	270	(1)
Projects	271	(2)
Test	273	(2)
Cumulative Review	275	(2)
Exponents and Polynomials	277	(71)
Properties of Exponents	279	(10)
Polynomials, Sums, and Differences	289	(10)
Multiplication of Polynomials	299	(10)
The Greatest Common Factor and Factoring by Grouping	309	(5)
Factoring Trinomials	314	(7)
Special Factoring	321	(8)
Solving Equations by Factoring	329	(19)
Summary	339	(2)
Review	341	(2)
Projects	343	(1)
Test	344	(2)
Cumulative Review	346	(2)
Rational Expressions	348	(78)
Basic Properties and Reducing to Lowest Terms	350	(13)
Division of Polynomials	363	(10)
Multiplication and Division of Rational Expressions	373	(8)
Addition and Subtraction of Rational Expressions	381	(8)
Complex Fractions	389	(5)
Equations Involving Rational Expressions	394	(11)
Applications	405	(21)
Summary	417	(2)
Review	419	(1)
Projects	420	(2)
Test	422	(2)
Cumulative Review	424	(2)
Rational Exponents and Roots	426	(68)
Rational Exponents	427	(13)
More Expressions Involving Rational Exponents	440	(6)
Simplified Form for Radicals	446	(11)
Addition and Subtraction of Radical Expressions	457	(5)
Multiplication and Division of Radical Expressions	462	(6)
Equations with Radicals	468	(10)
Complex Numbers	478	(16)
Summary	486	(2)
Review	488	(1)
Projects	489	(2)
Test	491	(2)
Cumulative Review	493	(1)
Quadratic Functions	494	(72)
Completing the Square	495	(11)
The Quadratic Formula	506	(10)
Additional Items Involving Solutions to Equations	516	(10)
Equations Quadratic in Form	526	(9)
Graphing Parabolas	535	(14)
Quadratic Inequalities	549	(17)
Summary	559	(1)
Review	560	(2)
Projects	562	(2)
Test	564	(1)
Cumulative Review	565	(1)
Exponential and Logarithmic Functions	566	(56)
Exponential Functions	567	(9)
The Inverse of a Function	576	(9)
Logarithms Are Exponents	585	(8)
Properties of Logarithms	593	(5)
Common Logarithms and Natural Logarithms	598	(9)
Exponential Equations and Change of Base	607	(15)
Summary	615	(2)
Review	617	(1)
Projects	618	(2)
Test	620	(1)
Cumulative Review	621	(1)
Sequences and Series	622	(44)
Sequences	623	(8)
Series	631	(6)
Arithmetic Sequences	637	(6)
Geometric Sequences	643	(8)
The Binomial Expansion	651	(15)
Summary	659	(2)
Review	661	(1)
Projects	662	(2)
Test	664	(1)
Cumulative Review	665	(1)
Conic Sections	666
The Circle	667	(7)
Ellipses and Hyperbolas	674	(10)
Second-Degree Inequalities and Nonlinear Systems	684
Summary	692	(1)
Review	693	(2)
Projects	695	(1)
Test	696	(1)
Cumulative Review	697
Appendix A Synthetic Division	A.1
Appendix B Matrix Solutions to Linear Systems	B.1
Appendix C Algebra With Functions	C.1
Appendix D Answers to Odd-Numbered Problems, Chapter Reviews, Chapter Tests, and Cumulative Reviews	D.1
Index	I.1