Elementary & Intermediate Algebra

by McKeague, Charles P.

• ISBN13: 9780030291074
• ISBN10: 0030291070
• Format: Hardcover
• Copyright: 2000-06-01
• Publisher: Brooks Cole

Table of Contents

Preface to the Instructor	xi
Preface to the Student	xix
The Basics	1	(84)
Notation and Symbols	3	(10)
Real Numbers	13	(12)
Addition of Real Numbers	25	(7)
Subtraction of Real Numbers	32	(10)
Properties of Real Numbers	42	(6)
Multiplication of Real Numbers	48	(8)
Division of Real Numbers	56	(6)
Subsets of the Real Numbers	62	(8)
Addition and Subtraction With Fractions	70	(15)
Summary	78	(2)
Review	80	(2)
Projects	82	(1)
Test	83	(2)
Linear Equations and Inequalities	85	(75)
Simplifying Expressions	87	(7)
Addition Property of Equality	94	(8)
Multiplication Property of Equality	102	(8)
Solving Linear Equations	110	(6)
Formulas	116	(10)
Applications	126	(9)
More Applications	135	(6)
Linear Inequalities	141	(19)
Summary	151	(3)
Review	154	(1)
Projects	155	(2)
Test	157	(1)
Cumulative Review	158	(2)
Graphing and Linear Systems	160	(71)
Paired Data and Graphing Ordered Pairs	162	(7)
Solutions to Linear Equations in Two Variables	169	(9)
Graphing Linear Equations in Two Variables	178	(9)
More on Graphing: Intercepts	187	(6)
Solving Linear Systems by Graphing	193	(6)
The Addition Method	199	(9)
The Substitution Method	208	(7)
Applications	215	(16)
Summary	223	(2)
Review	225	(1)
Projects	226	(2)
Test	228	(1)
Cumulative Review	229	(2)
Exponents and Polynomials	231	(63)
Multiplication With Exponents	233	(10)
Division With Exponents	243	(10)
Operations With Monomials	253	(9)
Addition and Subtraction of Polynomials	262	(4)
Multiplication With Polynomials	266	(6)
Binomial Squares and Other Special Products	272	(5)
Dividing a Polynomial by a Monomial	277	(4)
Dividing a Polynomial by a Polynomial	281	(13)
Summary	287	(2)
Review	289	(1)
Projects	290	(2)
Test	292	(1)
Cumulative Review	292	(2)
Factoring	294	(50)
The Greatest Common Factor and Factoring by Grouping	296	(6)
Factoring Trinomials	302	(4)
More Trinomials to Factor	306	(7)
Special Factorings	313	(4)
Factoring: A General Review	317	(3)
Solving Equations by Factoring	320	(6)
Applications	326	(18)
Summary	337	(2)
Review	339	(1)
Projects	340	(1)
Test	341	(1)
Cumulative Review	342	(2)
Rational Expressions	344	(57)
Reducing Rational Expressions to Lowest Terms	346	(8)
Multiplication and Division of Rational Expressions	354	(8)
Addition and Subtraction of Rational Expressions	362	(7)
Equations Involving Rational Expressions	369	(6)
Applications	375	(9)
Complex Fractions	384	(6)
Proportions	390	(11)
Summary	394	(2)
Review	396	(1)
Projects	397	(2)
Test	399	(1)
Cumulative Review	399	(2)
Transitions	401	(67)
Review of Solving Equations	402	(13)
Equations With Absolute Value	415	(4)
Compound Inequalities and Interval Notation	419	(6)
Inequalities Involving Absolute Value	425	(6)
Factoring the Sum and Difference of Two Cubes	431	(7)
Review of Systems of Equations in Two Variables	438	(11)
Systems of Linear Equations in Three Variables	449	(19)
Summary	459	(3)
Review	462	(1)
Projects	463	(2)
Test	465	(1)
Cumulative Review	466	(2)
Equations and Inequalities in Two Variables	468	(80)
The Slope of a Line	469	(13)
The Equation of a Line	482	(11)
Linear Inequalities in Two Variables	493	(7)
Introduction to Functions	500	(13)
Function Notation	513	(9)
Algebra With Functions	522	(7)
Variation	529	(19)
Summary	540	(2)
Review	542	(1)
Projects	543	(2)
Test	545	(1)
Cumulative Review	546	(2)
Rational Exponents and Roots	548	(68)
Rational Exponents	549	(13)
More Expressions Involving Rational Exponents	562	(6)
Simplified Form for Radicals	568	(11)
Addition and Subtraction of Radical Expressions	579	(5)
Multiplication and Division of Radical Expressions	584	(6)
Equations With Radicals	590	(10)
Complex Numbers	600	(16)
Summary	608	(2)
Review	610	(1)
Projects	611	(2)
Test	613	(2)
Cumulative Review	615	(1)
Quadratic Functions	616	(72)
Completing the Square	617	(11)
The Quadratic Formula	628	(10)
Additional Items Involving Solutions to Equations	638	(10)
Equations Quadratic in Form	648	(9)
Graphing Parabolas	657	(14)
Quadratic Inequalities	671	(17)
Summary	681	(1)
Review	682	(2)
Projects	684	(2)
Test	686	(1)
Cumulative Review	687	(1)
Exponential and Logarithmic Functions	688	(56)
Exponential Functions	689	(9)
The Inverse of a Function	698	(9)
Logarithms Are Exponents	707	(8)
Properties of Logarithms	715	(5)
Common Logarithms and Natural Logarithms	720	(9)
Exponential Equations and Change of Base	729	(15)
Summary	737	(2)
Review	739	(1)
Projects	740	(2)
Test	742	(1)
Cumulative Review	743	(1)
Sequences and Series	744	(44)
Sequences	745	(8)
Series	753	(6)
Arithmetic Sequences	759	(6)
Geometric Sequences	765	(8)
The Binomial Expansion	773	(15)
Summary	781	(2)
Review	783	(1)
Projects	784	(2)
Test	786	(1)
Cumulative Review	787	(1)
Conic Sections	788
The Circle	789
Ellipses and Hyperbolas	796
Second-Degree Inequalities and Nonlinear Systems	806
Summary	814
Review	815
Projects	817
Test	818
Cumulative Review	819
Appendix A Synthetic Division	A-1
Appendix B Introduction to Determinants	B-1
Appendix C Cramer's Rule	C-1
Appendix D Matrix Solutions to Linear Systems	D-1
Appendix E Answers to Odd-Numbered Problems, Chapter Reviews, Chapter Tests, and Cumulative Reviews	E-1
Index	I-1