Intermediate Algebra

by Lial, Margaret L.; Hornsby, E. John; Miller, Charles D.

• ISBN13: 9780673990594
• ISBN10: 0673990591
• Edition: 7th
• Format: Hardcover
• Copyright: 1995-09-01
• Publisher: Pearson College Div

Summary

Key Message: The Lial series has helped thousands of readers succeed in developmental mathematics through its approachable writing style, relevant real-world examples, extensive exercise sets, and complete supplements package. Key Topics: Review of the Real Number System; Linear Equations, Inequalities, and Applications; Graphs, Linear Equations, and Functions; Systems of Linear Equations; Exponents, Polynomials, and Polynomial Functions; Factoring; Rational Expressions and Functions; Roots, Radicals, and Root Functions; Quadratic Equations, Inequalities, and Functions; Inverse, Exponential, and Logarithmic Functions; Nonlinear Functions, Conic Sections, and Nonlinear Systems; Sequences and Series Market: For all readers interested in Intermediate Algebra.

Table of Contents

Preface	xi
To the Student: Success in Algebra	xxi
An Introduction to Graphics Calculators	xxiii
The Real Numbers	1	(40)
Basic Terms	2	(11)
Operations on Real Numbers	13	(13)
Properties of Real Numbers	26	(15)
Summary	33	(1)
Key Terms	33	(1)
New Symbols	33	(1)
Quick Review	33	(2)
Review Exercises	35	(4)
Test	39	(2)
Linear Equations and Inequalities	41	(82)
Linear Equations in One Variable	42	(8)
Formulas and Topics from Geometry	50	(10)
Applications of Linear Equations	60	(12)
More Applications of Linear Equations	72	(9)
Linear Inequalities in One Variable	81	(10)
Set Operations and Compound Inequalities	91	(7)
Absolute Value Equations and Inequalities	98	(25)
Summary: Solving Linear and Absolute Value Equations and Inequalities	108	(1)
Summary	109	(1)
Key Terms	109	(1)
New Symbols	109	(1)
Quick Review	110	(3)
Review Exercises	113	(6)
Test	119	(1)
Cumulative Review (Chapters 1--2)	120	(3)
Exponents and Polynomials	123	(78)
Integer Exponents	124	(7)
Further Properties of Exponents	131	(9)
Addition and Subtraction of Polynomials	140	(9)
Multiplication of Polynomials	149	(8)
Greatest Common Factors; Factoring by Grouping	157	(7)
Factoring Trinomials	164	(7)
Special Factoring	171	(6)
General Methods of Factoring	177	(5)
Solving Equations by Factoring	182	(19)
Summary	190	(1)
Key Terms	190	(1)
New Symbols	190	(1)
Quick Review	190	(2)
Review Exercises	192	(5)
Test	197	(1)
Cumulative Review (Chapters 1--3)	198	(3)
Rational Expressions	201	(60)
Multiplication and Division of Rational Expressions	202	(10)
Addition and Subtraction of Rational Expressions	212	(6)
Complex Fractions	218	(6)
Division of Polynomials	224	(5)
Synthetic Division	229	(5)
Equations with Rational Expressions	234	(6)
Summary of Rational Expressions: Equations Versus Expressions	239	(1)
Applications	240	(21)
Summary	250	(1)
Key Terms	250	(1)
Quick Review	250	(3)
Review Exercises	253	(4)
Test	257	(1)
Cumulative Review (Chapters 1--4)	258	(3)
Roots and Radicals	261	(60)
Rational Exponents and Radicals	262	(7)
More About Rational Exponents and Radicals	269	(5)
Simplifying Radicals	274	(8)
Adding and Subtracting Radical Expressions	282	(5)
Multiplying and Dividing Radical Expressions	287	(8)
Equations with Radicals	295	(7)
Complex Numbers	302	(19)
Summary	310	(1)
Key Terms	310	(1)
New Symbols	310	(1)
Quick Review	310	(3)
Review Exercises	313	(4)
Test	317	(1)
Cumulative Review (Chapters 1--5)	318	(3)
Quadratic Equations and Inequalities	321	(52)
Completing the Square	322	(8)
The Quadratic Formula	330	(10)
Equations Quadratic in Form	340	(8)
Formulas and Applications	348	(9)
Nonlinear Inequalities	357	(16)
Summary	363	(1)
Key Terms	363	(1)
Quick Review	363	(3)
Review Exercises	366	(3)
Test	369	(1)
Cumulative Review (Chapters 1--6)	370	(3)
The Straight Line	373	(78)
The Rectangular Coordinate System	374	(15)
The Slope of a Line	389	(14)
Linear Equations	403	(10)
Linear Inequalities	413	(8)
Introduction to Functions	421	(12)
Variation	433	(18)
Summary	442	(1)
Key Terms	442	(1)
New Symbols	442	(1)
Quick Review	442	(2)
Review Exercises	444	(3)
Test	447	(2)
Cumulative Review (Chapters 1--7)	449	(2)
Systems of Linear Equations	451	(62)
Linear Systems of Equations in Two Variables	452	(10)
Linear Systems of Equations in Three Variables	462	(7)
Applications of Linear Systems of Equations	469	(11)
Solution of Linear Systems of Equations by Matrix Methods	480	(9)
Determinants	489	(6)
Solution of Linear Systems of Equations by Determinants---Cramer's Rule	495	(18)
Summary	501	(1)
Key Terms	501	(1)
New Symbols	501	(1)
Quick Review	502	(3)
Review Exercises	505	(4)
Test	509	(1)
Cumulative Review (Chapters 1--8)	510	(3)
Quadratic Functions and The Conic Sections	513	(74)
Quadratic Functions: Paraboles	514	(10)
More About Parabolas and Their Applications	524	(11)
The Circle and the Ellipse	535	(10)
The Hyperbola and Square Root Functions	545	(11)
Nonlinear Systems of Equations	556	(10)
Second-Degree Inequalities and Systems of Inequalities	566	(21)
Summary	574	(1)
Key Terms	574	(1)
Quick Review	574	(3)
Review Exercises	577	(6)
Test	583	(1)
Cumulative Review (Chapters 1--9)	584	(3)
Inverse, Exponential, and Logarithmic Functions	587	(62)
Inverse Functions	588	(9)
Exponential Functions	597	(9)
Logarithmic Functions	606	(8)
Properties of Logarithms	614	(7)
Evaluating Logarithms	621	(9)
Exponential and Logarithmic Equations and Their Applications	630	(19)
Summary	638	(1)
Key Terms	638	(1)
New Symbols	638	(1)
Quick Review	638	(3)
Review Exercises	641	(4)
Test	645	(1)
Cumulative Review (Chapters 1-10)	646	(3)
Sequences and Series	649	(36)
Sequences and Series	650	(7)
Arithmetic Sequences	657	(6)
Geometric Sequences	663	(8)
The Binomial Theorem	671	(14)
Summary	677	(1)
Key Terms	677	(1)
New Symbols	677	(1)
Quick Review	677	(2)
Review Exercises	679	(2)
Test	681	(1)
Cumulative Review (Chapters 1--11)	682	(3)
Answers to Selected Exercises	685	(42)
Index	727