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Introductory Algebra,9780131868434

Introductory Algebra

by
Edition:
3rd
ISBN13:

9780131868434

ISBN10:
0131868438
Format:
Paperback
Pub. Date:
1/1/2007
Publisher(s):
Prentice Hall
List Price: $156.67

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Summary

Introductory 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

Tools to Help Students Succeed ix
Additional Resources to Help You Succeed xi
Preface xiii
Applications Index xxiii
Prealgebra Review
1(1)
Factors and the Least Common Multiple
2(7)
Fractions
9(10)
Decimals and Percents
19
Group Activity: Interpreting Survey Results
28(1)
Vocabulary Check
29(1)
Highlights
29(3)
Review
32(2)
Test
34
Real Numbers and Introduction to Algebra
1(88)
Tips for Success in Mathematics
2(6)
Symbols and Sets of Numbers
8(11)
Exponents, Order of Operations, and Variable Expressions
19(10)
Adding Real Numbers
29(9)
Subtracting Real Numbers
38(10)
Integrated Review--Operations on Real Numbers
46(2)
Multiplying and Dividing Real Numbers
48(12)
Properties of Real Numbers
60(8)
Simplifying Expressions
68(21)
Group Activity: Magic Squares
77(1)
Vocabulary Check
78(1)
Highlights
78(5)
Review
83(4)
Test
87(2)
Equations, Inequalities, and Problem Solving
89(89)
The Addition Property of Equality
90(9)
The Multiplication Property of Equality
99(9)
Further Solving Linear Equations
108(10)
Integrated Review--Solving Linear Equations
116(2)
An Introduction to Problem Solving
118(12)
Formulas and Problem Solving
130(12)
Percent and Mixture Problem Solving
142(12)
Solving Linear Inequalities
154(24)
Group Activity: Investigating Averages
164(1)
Vocabulary Check
165(1)
Highlights
165(3)
Review
168(5)
Test
173(2)
Cumulative Review
175(3)
Exponents and Polynomials
178(76)
Exponents
179(12)
Negative Exponents and Scientific Notation
191(9)
Introduction to Polynomials
200(10)
Adding and Subtracting Polynomials
210(7)
Multiplying Polynomials
217(7)
Special Products
224(9)
Integrated Review--Exponents and Operations on Polynomials
231(2)
Dividing Polynomials
233(21)
Group Activity: Modeling with Polynomials
240(1)
Vocabulary Check
241(1)
Highlights
241(3)
Review
244(5)
Test
249(2)
Cumulative Review
251(3)
Factoring Polynomials
254(70)
The Greatest Common Factor
255(10)
Factoring Trinomials of the Form x2 + bx + c
265(7)
Factoring Trinomials of the Form ax2 + bx + c
272(7)
Factoring Trinomials of the Form ax2 + bx + c by Grouping
279(4)
Factoring Perfect Square Trinomials and the Difference of Two Squares
283(10)
Integrated Review--Choosing a Factoring Strategy
291(2)
Solving Quadratic Equations by Factoring
293(9)
Quadratic Equations and Problem Solving
302(22)
Group Activity
311(1)
Vocabulary Check
312(1)
Highlights
312(3)
Review
315(4)
Test
319(2)
Cumulative Review
321(3)
Rational Expressions
324(82)
Simplifying Rational Expressions
325(10)
Multiplying and Dividing Rational Expressions
335(9)
Adding and Subtracting Rational Expressions with the Same Denominator and Least Common Denominators
344(9)
Adding and Subtracting Rational Expressions with Different Denominators
353(8)
Solving Equations Containing Rational Expressions
361(9)
Integrated Review--Summary on Rational Expressions
368(2)
Proportions and Problem Solving with Rational Equations
370(15)
Simplifying Complex Fractions
385(21)
Group Activity: Fast-Growing Careers
391(1)
Vocabulary Check
392(1)
Highlights
392(5)
Review
397(4)
Test
401(2)
Cumulative Review
403(3)
Graphing Equations and Inequalities
406(111)
Reading Graphs and the Rectangular Coordinate System
407(15)
Graphing Linear Equations
422(11)
Intercepts
433(10)
Slope and Rate of Change
443(16)
Equations of Lines
459(12)
Integrated Review--Summary on Linear Equations
469(2)
Introduction to Functions
471(8)
Graphing Linear Inequalities in Two Variables
479(10)
Direct and Inverse Variation
489(28)
Group Activity: Finding a Linear Model
499(1)
Vocabulary Check
500(1)
Highlights
500(5)
Review
505(6)
Test
511(3)
Cumulative Review
514(3)
Systems of Equations
517(50)
Solving Systems of Linear Equations by Graphing
518(10)
Solving Systems of Linear Equations by Substitution
528(8)
Solving Systems of Linear Equations by Addition
536(8)
Integrated Review--Summary on Solving Systems of Equations
543(1)
Systems of Linear Equations and Problem Solving
544(23)
Group Activity: Break-Even Point
555(1)
Vocabulary Check
556(1)
Highlights
556(3)
Review
559(3)
Test
562(2)
Cumulative Review
564(3)
Roots and Radicals
567(56)
Introduction to Radicals
568(7)
Simplifying Radicals
575(8)
Adding and Subtracting Radicals
583(5)
Multiplying and Dividing Radicals
588(10)
Integrated Review--Simplifying Radicals
596(2)
Solving Equations Containing Radicals
598(7)
Radical Equations and Problem Solving
605(18)
Group Activity: Graphing and the Distance Formula
611(1)
Vocabulary Check
612(1)
Highlights
612(3)
Review
615(3)
Test
618(2)
Cumulative Review
620(3)
Quadratic Equations
623(45)
Solving Quadratic Equations by the Square Root Property
624(7)
Solving Quadratic Equations by Completing the Square
631(5)
Solving Quadratic Equations by the Quadratic Formula
636(11)
Integrated Review--Summary on Quadratic Equations
645(2)
Graphing Quadratic Equations in Two Variables
647(21)
Group Activity: Uses of Parabolas
656(1)
Vocabulary Check
657(1)
Highlights
657(2)
Review
659(4)
Test
663(2)
Cumulative Review
665(3)
Appendix A The Bigger Picture 668(4)
Appendix B Factoring Sums and Differences of Cubes 672(3)
Appendix C Mean, Median, and Mode 675(4)
Appendix D Sets 679(4)
Appendix E Review of Angles, Lines, and Special Triangles 683(8)
Appendix F Tables 691
Answers to Selected Exercises 1(26)
Solutions to Selected Exercises 27
Index 1(4)
Photo Credits 5


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