Intermediate Algebra: A Graphing Approach

Intermediate Algebra: A Graphing Approach

by Ignacio Bello

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Product Details

ISBN-13: 9780314068446
Publisher: West Group
Publication date: 05/28/1997
Pages: 700

Table of Contents

1 THE REAL NUMBERS
2(58)
1.1 Numbers and Their Properties
4(11)
1.2 Operations and Properties of Real Numbers
15(27)
1.3 Properties of Exponents
28(14)
1.4 Grouping Symbols and the Order of Operations
42(10)
Summary
52(3)
Review Exercises
55(2)
Practice Test
57(3)
2 LINEAR EQUATIONS AND PROBLEM SOLVING
60(50)
2.1 Linear Equations in One Variable
62(14)
2.2 Formulas, Geometry and Problem Solving
76(11)
2.3 Problem Solving: Integers and Geometry
87(10)
2.4 Problem Solving: Percent, Investment, Motion and Mixture Problems
97(9)
Summary
106(1)
Review Exercises
107(1)
Practice Test
108(2)
3 GRAPHS AND FUNCTIONS
110(78)
3.1 Graphs
112(10)
3.2 Introduction to Functions: Linear Functions
122(14)
3.3 Using Slopes to Graph Lines
136(9)
3.4 Equations of Lines
145(8)
3.5 Polynomial, Exponential, and Absolute-Value Functions
153(11)
3.6 The Algebra of Functions
164(11)
Summary
175(2)
Review Exercises
177(3)
Practice Test
180(8)
4 SOLVING SYSTEMS OF LINEAR EQUATIONS
188(66)
4.1 Systems with Two Variables
190(16)
4.2 Systems with Three Variables
206(8)
4.3 Coin, Distance-Rate-Time, Investment and Geometry Problems
214(9)
4.4 Matrices
223(12)
4.5 Determinants and Cramer's Rule
235(12)
Summary
247(2)
Review Exercises
249(2)
Practice Test
251(3)
5 INEQUALITIES AND LINEAR PROGRAMMING
254(48)
5.1 Linear and Compound Inequalities: Applications
256(14)
5.2 Absolute-Value Equations and Inequalities
270(8)
5.3 Linear Inequalities in Two Variables
278(8)
5.4 Linear Programming
286(10)
Summary
296(1)
Review Exercises
297(1)
Practice Test
298(4)
6 POLYNOMIALS
302(66)
6.1 Polynomials: Addition and Subtraction
304(11)
6.2 Multiplication of Polynomials
315(9)
6.3 The GCF and Factoring By Grouping
324(1)
6.4 Factoring Trinomials
324(15)
6.5 Special Factoring
339(7)
6.6 General Methods of Factoring
346(6)
6.7 Solving Equations By Factoring: Applications
352(10)
Summary
362(2)
Review Exercises
364(1)
Practice Test
365(3)
7 RATIONAL EXPRESSIONS
368(76)
7.1 Rational Expressions
370(10)
7.2 Multiplication and Division of Rational Expressions
380(9)
7.3 Addition and Subtraction of Rational Expressions
389(9)
7.4 Complex Fractions
398(10)
7.5 Division of Polynomials and Synthetic Division
408(10)
7.6 Equations Involving Rational Expressions
418(10)
7.7 Applications: Problem Solving
428(9)
Summary
437(2)
Review Exercises
439(2)
Practice Test
441(3)
8 RATIONAL EXPONENTS AND RADICALS
444(54)
8.1 Rational Exponents and Radicals
446(9)
8.2 Simplifying Radicals
455(10)
8.3 Operations with Radicals
465(10)
8.4 Solving Equations Containing Radicals
475(7)
8.5 Complex Numbers
482(9)
Summary
491(1)
Review Exercises
492(2)
Practice Test
494(4)
9 QUADRATIC EQUATIONS AND INEQUALITIES
498(62)
9.1 Solving Quadratics by Completing the Square
500(10)
9.2 The Quadratic Formula: Applications
510(11)
9.3 The Discriminant and Its Applications
521(8)
9.4 Solving Equations in Quadratic Form
529(6)
9.5 Nonlinear Inequalities
535(10)
9.6 Variation
545(8)
Summary
553(2)
Review Exercises
555(1)
Practice Test
556(4)
10 QUADRATIC FUNCTIONS AND THE CONIC SECTIONS
560(58)
10.1 Quadratic Functions and Their Graphs
562(16)
10.2 Circles and Ellipses
578(10)
10.3 Hyperbolas and Identification of Conics
588(9)
10.4 Nonlinear Systems of Equations
597(8)
10.5 Nonlinear Systems of Inequalities
605(5)
Summary
610(1)
Review Exercises
611(1)
Practice Test
612(6)
11 INVERSE, EXPONENTIAL AND LOGARITHMIC FUNCTIONS
618(60)
11.1 Inverse Functions
620(9)
11.2 Exponential Functions
629(9)
11.3 Logarithmic Functions and Their Properties
638(10)
11.4 Common and Natural Logarithms
648(11)
11.5 Exponential and Logarithmic Equations and Applications
659(12)
Summary
671(1)
Review Exercises
672(2)
Practice Test
674(4)
12 SEQUENCES AND SERIES
678(45)
12.1 Sequences and Series
680(10)
12.2 Arithmetic Sequences and Series
690(7)
12.3 Geometric Sequences and Series
697(11)
12.4 The Binomial Expansion
708(9)
Summary
717(1)
Review Exercises
718(2)
Practice Test
720(3)
ANSWERS TO ODD-NUMBERED EXERCISES 723(52)
BIBLIOGRAPHY 775(2)
INDEX 777

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