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Elementary Algebra

by ; ;
Edition:
1st
ISBN13:

9780131467668

ISBN10:
0131467662
Format:
Hardcover
Pub. Date:
1/1/2007
Publisher(s):
Prentice Hall

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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


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