Elementary Algebra

by Unknown

• ISBN13: 9780395976715
• ISBN10: 0395976715
• Edition: 3rd
• Format: Paperback
• Copyright: 2000-03-28
• Publisher: Brooks Cole

Summary

Designed for first-year developmental math students who need support in beginning algebra, Elementary Algebra, 4/e, retains the hallmark features for which the Larson team is known: abundant, high-quality applications; the use of real data; the integration of visualization (figures and graphs) throughout; and extensive opportunities for self-assessment (mid-chapter quizzes, review exercises, tests, and cumulative tests). In developing supportive new features for the Fourth Edition, the authors' goal is for students to come away from the class with a firm understanding of algebra and how it functions as a modern modeling language.

Table of Contents

A Word from the Authors (Preface)	vii
Features	ix
How to Study Algebra	xx
The Real Number System	1	(59)
Motivating the Chapter: December in Pennsylvania	1	(1)
Real Numbers: Order and Absolute Value	2	(9)
Operations with Integers	11	(18)
Mid-Chapter Quiz	28	(1)
Operations with Rational Numbers	29	(15)
Exponents, Order of Operations, and Properties of Real Numbers	44	(16)
Summary	55	(1)
Review Exercises	56	(3)
Test	59	(1)
Fundamentals of Algebra	60	(54)
Motivating the Chapter: Beechwood Rental	61	(1)
Writing and Evaluating Algebraic Expressions	62	(9)
Simplifying Algebraic Expressions	71	(14)
Mid-Chapter Quiz	84	(1)
Algebra and Problem Solving	85	(14)
Introduction to Equations	99	(15)
Summary	109	(1)
Review Exercises	110	(3)
Test	113	(1)
Linear Equations and Problem Solving	114	(86)
Motivating the Chapter: Talk Is Cheap?	115	(1)
Solving Linear Equations	116	(11)
Equations That Reduce to Linear Form	127	(10)
Problem Solving with Percents	137	(12)
Ratios and Proportions	149	(12)
Mid-Chapter Quiz	160	(1)
Geometric and Scientific Applications	161	(13)
Linear Inequalities	174	(12)
Absolute Value Equations and Inequalities	186	(14)
Summary	193	(1)
Review Exercises	194	(4)
Test	198	(1)
Cumulative Test: Chapters 1-3	199	(1)
Graphs and Functions	200	(72)
Motivating the Chapter: Salary Plus Commission	201	(1)
Ordered Pairs and Graphs	202	(11)
Graphs of Equations in Two Variables	213	(10)
Relations, Functions, and Graphs	223	(11)
Mid-Chapter Quiz	233	(1)
Slope and Graphs of Linear Equations	234	(12)
Equations of Lines	246	(11)
Graphs of Linear Inequalities	257	(15)
Summary	265	(1)
Review Exercises	266	(5)
Test	271	(1)
Exponents and Polynomials	272	(48)
Motivating the Chapter: Packaging Restrictions	273	(1)
Adding and Subtracting Polynomials	274	(10)
Multiplying Polynomials: Special Products	284	(13)
Mid-Chapter Quiz	296	(1)
Negative Exponents and Scientific Notation	297	(8)
Dividing Polynomials	305	(15)
Summary	315	(1)
Review Exercises	316	(3)
Test	319	(1)
Factoring and Solving Equations	320	(52)
Motivating the Chapter: Dimensions of a Potato Storage Bin	321	(1)
Factoring Polynomials with Common Factors	322	(8)
Factoring Trinomials	330	(8)
More About Factoring Trinomials	338	(9)
Mid-Chapter Quiz	346	(1)
Factoring Polynomials with Special Forms	347	(9)
Polynomial Equations and Applications	356	(16)
Summary	367	(1)
Review Exercises	368	(2)
Test	370	(1)
Cumulative Test: Chapters 4-6	371	(1)
Systems of Linear Equations	372	(44)
Motivating the Chapter: Pay Analysis	373	(1)
Solving Systems of Equations by Graphing	374	(9)
Solving Systems of Equations by Substitution	383	(9)
Mid-Chapter Quiz	391	(1)
Solving Systems of Equations by Elimination	392	(9)
Applications of Systems of Linear Equations	401	(15)
Summary	412	(1)
Review Exercises	413	(2)
Test	415	(1)
Rational Expressions and Equations	416	(46)
Motivating the Chapter: Predicting College Enrollment	417	(1)
Simplifying Rational Expressions	418	(9)
Multiplying and Dividing Rational Expressions	427	(10)
Mid-Chapter Quiz	436	(1)
Adding and Subtracting Rational Expressions	437	(9)
Rational Equations and Applications	446	(16)
Summary	457	(1)
Review Exercises	458	(3)
Test	461	(1)
Radical Expressions and Equations	462	(48)
Motivating the Chapter: Constructing a Walkway	463	(1)
Roots and Radicals	464	(9)
Simplifying Radicals	473	(11)
Mid-Chapter Quiz	483	(1)
Operations with Radical Expressions	484	(9)
Radical Equations and Applications	493	(17)
Summary	503	(1)
Review Exercises	504	(3)
Test	507	(1)
Cumulative Test: Chapters 7-9	508	(2)
Quadratic Equations and Functions	510	(1)
Motivating the Chapter: Vertical Motion	511	(1)
Solution by Extracting Square Roots	512	(6)
Solution by Completing the Square	518	(9)
Solution by the Quadratic Formula	527	(8)
Mid-Chapter Quiz	534	(1)
Graphing Quadratic Functions	535	(11)
Applications of Quadratic Equations	546	(8)
Summary	554	(1)
Review Exercises	555	(3)
Test	558
Appendices
Appendix A Introduction to Graphing Utilities	1	(7)
Appendix B Further Concepts in Geometry	8	(16)
B.1 Exploring Congruence and Similarity	8	(8)
B.2 Angles	16	(8)
Appendix C Further Concepts in Statistics	24	(13)
Answers to Odd-Numbered Exercises, Quizzes, and Tests	37	(60)
Index of Applications	97	(4)
Index	101