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Elementary and Intermediate Algebra for College Students,9780130139801
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Elementary and Intermediate Algebra for College Students

by
ISBN13:

9780130139801

ISBN10:
0130139807
Format:
Hardcover
Pub. Date:
1/1/2000
Publisher(s):
Prentice Hall
List Price: $113.00
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Summary

For freshman-level, one- or two- semester courses in Developmental Algebra. This dynamic new edition of this proven series adds two new titles and has cutting edge print and media resources. An emphasis on the practical applications of algebra motivates students and encourages them to see algebra as an important part of their daily lives. The student-friendly writing style uses short, clear sentences and easy-to-understand language, and the outstanding pedagogical program makes the material easy to follow and comprehend. The new editions place a stronger emphasis on problem solving, incorporating it as a theme throughout the texts. Angel's solid exercise sets have been expanded to include new Conceptual/Writing Exercises, Practice the Skills Exercises, Problem Solving Exercises, and Group Activities. A comprehensive supplements package includes a new Companion Website.

Table of Contents

Preface xi
To The Student xxiii
Real Numbers
1(90)
Study Skills for Success in Mathematics
2(7)
Problem Solving
9(12)
Fractions
21(12)
The Real Number System
33(5)
Inequalities
38(5)
Addition of Real Numbers
43(8)
Subtraction of Real Numbers
51(8)
Multiplication and Division of Real Numbers
59(8)
Exponents, Parentheses, and the Order of Operations
67(13)
Properties of the Real Number System
80(11)
Summary
85(2)
Review Exercises
87(2)
Practice Test
89(2)
Solving Linear Equations
91(62)
Combining Like Terms
92(9)
The Addition Property of Equality
101(10)
The Multiplication Property of Equality
111(9)
Solving Linear Equations with a Variable on Only One Side of the Equation
120(7)
Solving Linear Equations with the Variable on Both Sides of the Equation
127(8)
Ratios and Proportions
135(18)
Summary
149(1)
Review Exercises
150(1)
Practice Test
151(1)
Cumulative Review Test
152(1)
Formulas and Applications of Algebra
153(68)
Formulas
154(13)
Changing Application Problems into Equations
167(12)
Solving Application Problems
179(16)
Geometric Problems
195(5)
Motion and Mixture Problems
200(21)
Summary
214(1)
Review Exercises
215(2)
Practice Test
217(1)
Cumulative Review Test
218(3)
Graphing Linear Equations
221(50)
The Cartesian Coordinate System and Linear Equations in Two Variables
222(10)
Graphing Linear Equations
232(12)
Slope of a Line
244(7)
Slope-Intercept and Point-Slope Forms of a Linear Equation
251(20)
Summary
265(1)
Review Exercises
266(2)
Practice Test
268(1)
Cumulative Review Test
269(2)
Exponents and Polynomials
271(58)
Exponents
272(9)
Negative Exponents
281(7)
Scientific Notation
288(8)
Addition and Subtraction of Polynomials
296(7)
Multiplication of Polynomials
303(11)
Division of Polynomials
314(15)
Summary
324(1)
Review Exercises
325(2)
Practice Test
327(1)
Cumulative Review Test
328(1)
Factoring
329(58)
Factoring a Monomial from a Polynomial
330(8)
Factoring by Grouping
338(5)
Factoring Trinomials of the form ax2 + bx + c, a = 1
343(9)
Factoring Trinomials of the form ax2 + bx + c, a = 1
352(13)
Special Factoring Formulas and a General Review of Factoring
365(7)
Solving Quadratic Equations Using Factoring
372(15)
Summary
382(1)
Review Exercises
383(2)
Practice Test
385(1)
Cumulative Review Test
385(2)
Rational Expressions and Equations
387(72)
Simplifying Rational Expressions
388(7)
Multiplication and Division of Rational Expressions
395(7)
Addition and Subtraction of Rational Expressions with a Common Denominator and Finding the Least Common Denominator
402(8)
Addition and Subtraction of Rational Expressions
410(9)
Complex Fractions
419(5)
Solving Rational Equations
424(9)
Rational Equations: Applications and Problem Solving
433(11)
Variation
444(15)
Summary
453(1)
Review Exercises
453(3)
Practice Test
456(1)
Cumulative Review Test
457(2)
Functions and Their Graphs
459(70)
More on Graphs
460(8)
Functions
468(1)
Linear Functions
468(29)
Slope, Modeling, and Linear Relationships
497(17)
The Algebra of Functions
514(15)
Summary
523(1)
Review Exercises
524(2)
Practice Test
526(2)
Cumulative Review Test
528(1)
Systems of Linear Equations
529(68)
Solving Systems of Equations Graphically
530(10)
Solving Systems of Equations by Substitution
540(6)
Solving Systems of Equations by the Addition Method
546(8)
Solving Systems of Linear Equations in Three Variables
554(7)
Systems of Linear Equations: Applications and Problem Solving
561(13)
Solving Systems of Equations Using Matrices
574(8)
Solving Systems of Equations Using Determinants and Cramer's Rule
582(15)
Summary
590(2)
Review Exercises
592(2)
Practice Test
594(1)
Cumulative Review Test
595(2)
Inequalities in One and Two Variables
597(40)
Solving Linear Inequalities in One Variable
598(15)
Solving Equations and Inequalities Containing Absolute Value
613(10)
Graphing Linear Inequalities in Two Variables and Systems of Linear Inequalities
623(14)
Summary
631(1)
Review Exercises
631(2)
Practice Test
633(1)
Cumulative Review Test
634(3)
Roots, Radicals, and Complex Numbers
637(68)
Roots and Radicals
638(8)
Rational Exponents
646(8)
Multiplying and Simplifying Radicals
654(8)
Dividing and Simplifying Radicals
662(10)
Adding and Subtracting Radicals
672(6)
Solving Radical Equations
678(12)
Complex Numbers
690(15)
Summary
698(1)
Review Exercises
699(3)
Practice Test
702(1)
Cumulative Review Test
703(2)
Quadratic Functions
705(76)
Solving Quadratic Equations by Completing the Square
706(10)
Solving Quadratic Equations by the Quadratic Formula
716(14)
Quadratic Equations: Applications and Problem Solving
730(7)
Factoring Expressions and Solving Equations that are Quadratic in Form
737(8)
Graphing Quadratic Functions
745(21)
Quadractic and Other Inequalities in One Variable
766(15)
Summary
775(1)
Review Exercises
776(2)
Practice Test
778(1)
Cumulative Review Test
779(2)
Exponential and Logarithmic Functions
781(62)
Composite and Inverse Functions
782(12)
Exponential Functions
794(7)
Logarithmic Functions
801(6)
Properties of Logarithms
807(6)
Common Logarithms
813(6)
Exponential and Logarithmic Equations
819(7)
Natural Exponential and Natural Logarithmic Functions
826(17)
Summary
838(1)
Review Exercises
839(2)
Practice Test
841(1)
Cumulative Review Test
842(1)
Conic Sections
843(38)
The Parabola and the Circle
844(12)
The Ellipse
856(5)
The Hyperbola
861(6)
Nonlinear Systems of Equations and Their Applications
867(14)
Summary
875(1)
Review Exercises
876(2)
Practice Test
878(1)
Cumulative Review Test
879(2)
Sequences, Series, and the Binomial Theorem
881(38)
Sequences and Series
882(8)
Arithmetic Sequences and Series
890(6)
Geometric Sequences and Series
896(11)
The Binomial Theorem
907(12)
Summary
913(1)
Review Exercises
914(2)
Practice Test
916(1)
Cumulative Review Test
917(2)
Appendices 919(1)
Review of Decimals and Percents
919(3)
Finding the Greatest Common Factor and Least Common Denominator
922(2)
Geometry Concepts and Formulas
924(7)
Review of Exponents, Polynomials, and Factoring
931
Answers A1
Index I1
Photo Credits P1


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