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Intermediate Algebra : A Graphing Approach

ISBN: 9780132814959 | 0132814951
Edition: 1st
Format: Hardcover
Publisher: Prentice Hall Professional Technical Reference
Pub. Date: 4/1/1997

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SummaryTable of Contents
Using mathematics to solve real-world problems requires a balance. You must not only be concerned with the details, but you also need to understand the big picture. Sometimes it is necessary to focus in on a particular part of a problem. The cover takes part of the picture shown here and enlarges it many times. It visually symbolizes this relationship between 'big picture' and details.
Prefaceix
1 REVIEW OF REAL NUMBERS AND ALGEBRAIC EXPRESSIONS
1(46)
1.1 Real Numbers
2(7)
... MORE
1.2 Properties of Real Numbers
9(9)
1.3 Operations on Real Numbers
18(10)
1.4 Order of Operations and Algebraic Expressions
28(11)
Group Activity: Analyzing Newspaper Circulation
39(1)
Highlights
40(3)
Review
43(2)
Test
45(2)
2 BASIC CONCEPTS OF ALGEBRA
47(60)
2.1 Solving Linear Equations Algebraically
48(10)
2.2 An Introduction to Problem Solving
58(8)
2.3 A Numerical Approach: Modeling with Tables
66(10)
2.4 Formulas and Problem Solving
76(11)
2.5 Interpreting Data and Reading Bar, Line, and Circle Graphs
87(10)
Group Activity: Comparison of Volumes
97(1)
Highlights
98(3)
Review
101(3)
Test
104(1)
Cumulative Review
105(2)
3 INTRODUCTION TO GRAPHS AND FUNCTIONS
107(94)
3.1 Introduction to Graphing and Graphing Utilities
108(11)
3.2 Graphing Equations
119(13)
3.3 Introduction to Functions
132(14)
3.4 Graphing Linear Functions
146(11)
3.5 The Slope of a Line
157(13)
3.6 Equations of Lines
170(10)
3.7 Solving Linear Equations Graphically
180(9)
Group Activity: Modeling Japanese Automobile Imports
189(1)
Highlights
190(5)
Review
195(3)
Test
198(2)
Cumulative Review
200(1)
4 INEQUALITIES AND ABSOLUTE VALUE
201(46)
4.1 Solving Linear Inequalities Algebraically and Graphically
202(11)
4.2 Compound Inequalities
213(6)
4.3 Absolute Value Equations
219(7)
4.4 Absolute Value Inequalities
226(6)
4.5 Graphing Linear Inequalities in Two Variables
232(7)
Group Activity: Analyzing Municipal Budgets
239(1)
Highlights
240(4)
Review
244(1)
Test
245(1)
Cumulative Review
245(2)
5 SYSTEMS OF EQUATIONS
247(58)
5.1 Solving Systems of Linear Equations in Two Variables
248(13)
5.2 Solving Systems of Linear Equations in Three Variables
261(7)
5.3 Systems of Linear Equations and Problem Solving
268(10)
5.4 Solving Systems of Equations by Matrices
278(7)
5.5 Solving Systems of Equations by Determinants
285(10)
Group Activity: Locating Lightning Strikes
295(1)
Highlights
296(5)
Review
301(2)
Test
303(1)
Cumulative Review
304(1)
6 EXPONENTS, POLYNOMIALS, AND POLYNOMIAL FUNCTIONS
305(76)
6.1 Exponents and Scientific Notation
306(9)
6.2 More Work with Exponents and Scientific Notation
315(6)
6.3 Polynomials and Polynomial Functions
321(12)
6.4 Multiplying Polynomials
333(8)
6.5 The Greatest Common Factor and Factoring by Grouping
341(5)
6.6 Factoring Trinomials
346(9)
6.7 Factoring by Special Products and Factoring Strategies
355(8)
6.8 Solving Polynomial Equations Algebraically and Graphically
363(10)
Group Activity: Finding the Largest Area
373(1)
Highlights
374(2)
Review
376(3)
Test
379(1)
Cumulative Review
379(2)
7 RATIONAL EXPRESSIONS
381(80)
7.1 Rational Functions and Simplifying Rational Expressions
382(9)
7.2 Multiplying and Dividing Rational Expressions
391(9)
7.3 Adding and Subtracting Rational Expressions
400(9)
7.4 Simplifying Complex Fractions
409(6)
7.5 Dividing Polynomials
415(6)
7.6 Synthetic Division
421(4)
7.7 Solving Equations Containing Rational Expressions
425(7)
7.8 Rational Equations and Problem Solving
432(9)
7.9 Variation and Problem Solving
441(8)
Group Activity: Modeling Electricity Production
449(1)
Highlights
450(5)
Review
455(3)
Test
458(1)
Cumulative Review
459(2)
8 RATIONAL EXPONENTS, RADICALS, AND COMPLEX NUMBERS
461(56)
8.1 Radicals and Radical Functions
462(7)
8.2 Rational Exponents
469(6)
8.3 Simplifying Radical Expressions
475(6)
8.4 Adding, Subtracting, and Multiplying Radical Expressions
481(4)
8.5 Rationalizing Numerators and Denominators of Radical Expressions
485(5)
8.6 Radical Equations and Problem Solving
490(10)
8.7 Complex Numbers
500(7)
Group Activity: Calculating the Length and Period of a Pendulum
507(1)
Highlights
508(4)
Review
512(2)
Test
514(1)
Cumulative Review
515(2)
9 QUADRATIC EQUATIONS AND FUNCTIONS
517(68)
9.1 Solving Quadratic Equations by Completing the Square
518(9)
9.2 Solving Quadratic Equations by the Quadratic Formula
527(11)
9.3 Solving Equations by Using Quadratic Methods
538(6)
9.4 Nonlinear Inequalities in One Variable
544(8)
9.5 Quadratic Functions and Their Graphs
552(8)
9.6 Further Graphing of Quadratic Functions
560(5)
9.7 Interpreting Data: Recognizing Linear and Quadratic Models
565(10)
Group Activity: Modeling the Position of a Freely Falling Object
575(2)
Highlights
577(3)
Review
580(2)
Test
582(1)
Cumulative Review
583(2)
10 CONIC SECTIONS
585(38)
10.1 The Parabola and the Circle
586(9)
10.2 The Ellipse and the Hyperbola
595(9)
10.3 Solving Nonlinear Systems of Equations
604(5)
10.4 Nonlinear Inequalities and Systems of Inequalities
609(6)
Group Activity: Modeling Conic Sections
615(1)
Highlights
616(3)
Review
619(1)
Test
620(1)
Cumulative Review
621(2)
11 EXPONENTIAL AND LOGARITHMIC FUNCTIONS
623(56)
11.1 Composite and Inverse Functions
624(11)
11.2 Exponential Functions
635(8)
11.3 Logarithmic Functions
643(6)
11.4 Properties of Logarithms
649(6)
11.5 Common Logarithms, Natural Logarithms, and Change of Base
655(6)
11.6 Exponential and Logarithmic Equations and Problem Solving
661(7)
Group Activity: Modeling Temperature
668(1)
Highlights
669(2)
Review
671(3)
Test
674(2)
Cumulative Review
676(3)
12 SEQUENCES, SERIES, AND THE BINOMIAL THEOREM
679
12.1 Sequences
680(4)
12.2 Arithmetic and Geometric Sequences
684(8)
12.3 Series
692(5)
12.4 Partial Sums of Arithmetic and Geometric Sequences
697(8)
12.5 The Binomial Theorem
705(5)
Group Activity: Modeling College Tuition
710(1)
Highlights
710(2)
Review
712(3)
Test
715(1)
Cumulative Review
716
APPENDICESA-1
A. Review of Angles, Lines, and Special TrianglesA-1(9)
B. Review of Geometric FiguresA-10(3)
C. Using a Graphing UtilityA-13(9)
D. Answers to Selected ExercisesA-22
INDEXI-1
PHOTO CREDITSP-1

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