Elementary Algebra

by Sullivan, Michael; Struve, Katherine R.; Mazzarella, Janet

• ISBN13: 9780131467668
• ISBN10: 0131467662
• Edition: CD
• Format: Hardcover
• Copyright: 2007-01-01
• Publisher: Pearson College Div

Summary

Elementary Algebrais typically a 1-semester course that provides a solid foundation in algebraic skills and reasoning for students who have little or no previous experience with the topic. The goal is to effectively prepare students to transition into Intermediate Algebra.

Table of Contents

Preface	viii
PART I Foundations: Getting Ready for Algebra
Operations on Real Numbers and Algebraic Expressions	1	(73)
Success in Mathematics	2	(6)
The Number Systems and the Real Number Line	8	(10)
Adding, Subtracting, Multiplying, and Dividing Integers	18	(10)
Adding, Subtracting, Multiplying, and Dividing Rational Numbers Expressed as Fractions and Decimals	28	(13)
Putting the Concepts Together (Sections 1.2--1.4)	40	(1)
Properties of Real Numbers	41	(8)
Exponents and the Order of Operations	49	(8)
Simplifying Algebraic Expressions	57	(17)
Chapter 1 Activity: The Math Game	65	(1)
Chapter 1 Review	66	(7)
Chapter 1 Test	73	(1)
PART II Developing Algebraic Skills Using One Unknown
Equations and Inequalities in One Variable	74	(99)
Linear Equations: The Addition and Multiplication Properties of Equality	75	(9)
Linear Equations: Using the Properties Together	84	(9)
Solving Linear Equations Involving Fractions and Decimals; Classifying Equations	93	(10)
Evaluating Formulas and Solving Formulas for a Variable	103	(14)
Putting the Concepts Together (Sections 2.1--2.4)	116	(1)
Introduction to Problem Solving: Direct Translation Problems	117	(14)
Problem Solving: Direct Translation Problems Involving Percent	131	(8)
Problem Solving: Geometry and Uniform Motion	139	(11)
Solving Linear Inequalities in One Variable	150	(23)
Chapter 2 Activity: Pass to the Right	163	(1)
Chapter 2 Review	164	(7)
Chapter 2 Test	171	(2)
Exponents and Polynomials	173	(64)
Adding and Subtracting Polynomials	174	(10)
Multiplying Monomials: The Product and Power Rules	184	(6)
Multiplying Polynomials	190	(11)
Dividing Monomials: The Quotient Rule and Integer Exponents	201	(12)
Putting the Concepts Together (Sections 3.1--3.4)	213	(1)
Dividing Polynomials	213	(8)
Applying Exponent Rules: Scientific Notation	221	(16)
Chapter 3 Activity: What Is the Question?	228	(2)
Chapter 3 Review	230	(4)
Chapter 3 Test	234	(1)
Cumulative Review Chapters 1--3	235	(2)
Factoring Polynomials	237	(67)
Greatest Common Factor and Factoring by Grouping	238	(10)
Factoring Trinomials of the Form x2 + bx + c	248	(9)
Factoring Trinomials of the Form ax2 + bx + c, a ≠ 1	257	(9)
Factoring Special Products	266	(8)
Summary of Factoring Techniques	274	(7)
Putting the Concepts Together (Sections 4.1--4.5)	280	(1)
Solving Polynomial Equations by Factoring	281	(9)
Modeling and Solving Problems with Quadratic Equations	290	(14)
Chapter 4 Activity: Which One Does Not Belong?	298	(1)
Chapter 4 Review	299	(4)
Chapter 4 Test	303	(1)
Rational Expressions and Equations	304	(88)
Simplifying Rational Expressions	305	(8)
Multiplying and Dividing Rational Expressions	313	(9)
Adding and Subtracting Rational Expressions with a Common Denominator	322	(7)
Finding the Least Common Denominator and Forming Equivalent Rational Expressions	329	(8)
Adding and Subtracting Rational Expressions with Unlike Denominators	337	(11)
Complex Rational Expressions	348	(9)
Putting the Concepts Together (Sections 5.1--5.6)	356	(1)
Rational Equations	357	(12)
Models Involving Rational Equations	369	(23)
Chapter 5 Activity: Correct the Quiz	383	(1)
Chapter 5 Review	384	(5)
Chapter 5 Test	389	(2)
Cumulative Review Chapters 1--5	391	(1)
Roots and Radicals	392	(65)
Introduction to Square Roots	393	(7)
Simplifying Square Roots	400	(8)
Adding and Subtracting Square Roots	408	(5)
Multiplying Expressions with Square Roots	413	(8)
Dividing Expressions with Square Roots	421	(9)
Putting the Concepts Together (Sections 6.1--6.5)	429	(1)
Solving Equations Containing Square Roots	430	(10)
Higher Roots and Rational Exponents	440	(17)
Chapter 6 Activity: Working Together with Radicals	450	(1)
Chapter 6 Review	450	(5)
Chapter 6 Test	455	(2)
Quadratic Equations	457	(62)
Solving Quadratic Equations Using the Square Root Property	458	(10)
Solving Quadratic Equations by Completing the Square	468	(8)
Solving Quadratic Equations Using the Quadratic Formula	476	(15)
Putting the Concepts Together (Sections 7.1--7.3)	490	(1)
Problem Solving Using Quadratic Equations	491	(9)
The Complex Number System	500	(19)
Chapter 7 Activity: The Math Game	511	(1)
Chapter 7 Review	512	(4)
Chapter 7 Test	516	(1)
Cumulative Review Chapters 1--7	517	(2)
PART III Developing Algebraic Skills Using Two Unknowns
Introduction to Graphing and Equations of Lines	519	(97)
The Rectangular Coordinate System and Equations in Two Variables	520	(16)
Graphing Equations in Two Variables	536	(15)
Slope	551	(11)
Slope-Intercept Form of a Line	562	(10)
Point-Slope Form of a Line	572	(8)
Parallel and Perpendicular Lines	580	(10)
Putting the Concepts Together (Sections 8.1--8.6)	589	(1)
Variation	590	(7)
Linear Inequalities in Two Variables	597	(19)
Chapter 8 Activity: Graphing Practice	606	(1)
Chapter 8 Review	607	(8)
Chapter 8 Test	615	(1)
Systems of Linear Equations and Inequalities	616	(72)
Solving Systems of Linear Equations by Graphing	617	(12)
Solving Systems of Linear Equations Using Substitution	629	(11)
Solving Systems of Linear Equations Using Elimination	640	(11)
Putting the Concepts Together (Sections 9.1--9.3)	650	(1)
Solving Direct Translation, Geometry, and Uniform Motion Problems Using Systems of Linear Equations	651	(7)
Solving Mixture Problems Using Systems of Linear Equations	658	(12)
Systems of Linear Inequalities	670	(18)
Chapter 9 Activity: Find the Numbers	678	(1)
Chapter 9 Review	678	(7)
Chapter 9 Test	685	(1)
Cumulative Review Chapters 1--9	686	(2)
Graphs of Quadratic Equations in Two Variables and an Introduction to Functions	688
Quadratic Equations in Two Variables	689	(14)
Relations	703	(8)
Putting the Concepts Together (Sections 10.1--10.2)	710	(1)
An Introduction to Functions	711
Chapter 10 Activity: Discovering Shifting	721	(1)
Chapter 10 Review	721	(5)
Chapter 10 Test	726
Appendix A: Fractions, Decimals, and Percents	1	(1)
Appendix B: Table of Square Roots	1	(1)
Appendix C: Geometry Review	1	(1)
Answers to Quick Check Exercises	1	(1)
Answers to Selected Exercises	1	(1)
Applications Index	1	(1)
Subject Index	1	(1)
Photo Credits	1