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Introductory Algebra: An Applied Approach

ISBN: 9780395907061 | 0395907063
Edition: 5th
Format: Paperback
Publisher: Brooks Cole
Pub. Date: 9/10/1998

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Table of Contents
Prefacexi
To the Studentxix
Index of Applicationsxxi
Real Numbers
1(50)
Int... MORE
3(6)
To use inequality symbols with integers
3(2)
To use opposites and absolute value
5(4)
Addition and Subtraction of Integers
9(8)
To add integers
9(1)
To subtract integers
10(2)
To solve application problems
12(5)
Multiplication and Division of Integers
17(6)
To multiply integers
17(1)
To divide integers
18(2)
To solve application problems
20(3)
Operations with Rational Numbers
23(14)
To write a rational number in simplest form and as a decimal
23(2)
To convert between percents, fractions, and decimals
25(1)
To add or subtract rational numbers
26(2)
To multiply or divide rational numbers
28(2)
To solve application problems
30(7)
Exponents and the Order of Operations Agreement
37(14)
To evaluate exponential expressions
37(1)
To use the Order of Operations Agreement to simplify expressions
38(5)
Focus on Problem Solving: Inductive Reasoning
43(1)
Projects and Group Activities: The +/- Key on a Calculator
44(1)
Moving Averages
44(1)
www.fedstats.gov
45(1)
Chapter Summary
45(2)
Chapter Review
47(2)
Chapter Test
49(2)
Variable Expressions
51(34)
Evaluating Variable Expressions
53(4)
To evaluate a variable expression
53(4)
Simplifying Variable Expressions
57(10)
To simplify a variable expression using the Properties of Addition
57(2)
To simplify a variable expression using the Properties of Multiplication
59(1)
To simplify a variable expression using the Distributive Property
60(2)
To simplify variable expressions
62(5)
Translating Verbal Expressions into Variable Expressions
67(18)
To translate a verbal expression into a variable expression, given the variable
67(1)
To translate a verbal expression into a variable expression and then simplify
68(2)
To translate application problems
70(5)
Focus on Problem Solving: From Concrete to Abstract
75(1)
Projects and Group Activities: Prime and Composite Numbers
76(1)
Investigation into Operations with Even and Odd Integers
77(1)
Chapter Summary
78(1)
Chapter Review
79(2)
Chapter Test
81(2)
Cumulative Review
83(2)
Solving Equations
85(76)
Introduction to Equations
87(12)
To determine whether a given number is a solution of an equation
87(1)
To solve an equation of the form x + a = b
88(1)
To solve an equation of the form ax = b
89(2)
To solve application problems using the basic percent equation
91(8)
General Equations---Part I
99(10)
To solve an equation of the form ax + b = c
99(1)
To solve application problems using formulas
100(9)
General Equations---Part II
109(8)
To solve an equation of the form ax + b = cx + d
109(1)
To solve an equation containing parentheses
110(2)
To solve application problems using formulas
112(5)
Translating Sentences into Equations
117(8)
To solve integer problems
117(2)
To translate a sentence into an equation and solve
119(6)
Geometry Problem
125(14)
To solve perimeter problems
125(2)
To solve problems involving angles formed by intersecting lines
127(4)
To solve problems involving the angles of a triangle
131(8)
Mixture and Uniform Motion Problems
139(22)
To solve value mixture problems
139(2)
To solve percent mixture problems
141(2)
To solve uniform motion problems
143(8)
Focus on Problem Solving: Trial and Error Approach to Problem Solving
151(1)
Projects and Group Activities: Nielsen Ratings
152(1)
Chapter Summary
153(2)
Chapter Review
155(2)
Chapter Test
157(2)
Cumulative Review
159(2)
Polynomials
161(42)
Addition and Subtraction of Polynomials
163(4)
To add polynomials
163(1)
To subtract polynomials
164(3)
Multiplication of Monomials
167(4)
To multiply monomials
167(1)
To simplify powers of monomials
168(3)
Multiplication of Polynomials
171(8)
To multiply a polynomial by a monomial
171(1)
To multiply two polynomials
171(1)
To multiply two binomials
172(1)
To multiply binomials that have special products
173(1)
To solve application problems
174(5)
Integer Exponents and Scientific Notation
179(10)
To divide monomials
179(5)
To write a number in scientific notation
184(5)
Division of Polynomials
189(14)
To divide a polynomial by a monomial
189(1)
To divide polynomials
189(4)
Focus on Problem Solving: Dimensional Analysis
193(2)
Projects and Group Activities: Pascal's Triangle
195(1)
Chapter Summary
195(2)
Chapter Review
197(2)
Chapter Test
199(2)
Cumulative Review
201(2)
Factoring
203(50)
Common Factors
205(6)
To factor a monomial from a polynomial
205(2)
To factor by grouping
207(4)
Factoring Polynomials of the Form x2 + bx + c
211(8)
To factor a trinomial of the form x2 + bx + c
211(2)
To factor completely
213(6)
Factoring Polynomials of the Form ax2 + bx + c
219(8)
To factor a trinomial of the form ax2 + bx + c by using trial factors
219(2)
To factor a trinomial of the form ax2 + bx + c by grouping
221(6)
Special Factoring
227(8)
To factor the difference of two squares and perfect-square trinomials
227(2)
To factor completely
229(6)
Solving Equations
235(18)
To solve equations by factoring
235(2)
To solve application problems
237(6)
Focus on Problem Solving: Making a Table
243(1)
Projects and Group Activities: Evaluating Polynomials Using a Calculator
244(1)
Search the World Wide Web
245(1)
Chapter Summary
246(1)
Chapter Review
247(2)
Chapter Test
249(2)
Cumulative Review
251(2)
Rational Expressions
253(60)
Multiplication and Division of Rational Expressions
255(8)
To simplify a rational expression
255(1)
To multiply rational expressions
256(2)
To divide rational expressions
258(5)
Expressing Fractions in Terms of the Least Common Multiple (LCM)
263(4)
To find the least common multiple (LCM) of two or more polynomials
263(1)
To express two fractions in terms of the LCM of their denominators
264(3)
Addition and Subtraction of Rational Expressions
267(8)
To add or subtract rational expressions with the same denominators
267(1)
To add or subtract rational expressions with different denominators
268(7)
Complex Fractions
275(4)
To simplify a complex fraction
275(4)
Solving Equations Containing Fractions
279(4)
To solve an equation containing fractions
279(4)
Ratio and Proportion
283(8)
To solve a proportion
283(1)
To solve application problems
284(1)
To solve problems involving similar triangles
284(7)
Literal Equations
291(4)
To solve a literal equation for one of the variables
291(4)
Application Problems
295(18)
To solve work problems
295(2)
To solve uniform motion problems
297(6)
Focus on Problem Solving: Negations and If... then Sentences
303(1)
Projects and Group Activities: Intensity of Illumination
304(2)
Chapter Summary
306(1)
Chapter Review
307(2)
Chapter Test
309(2)
Cumulative Review
311(2)
Linear Equations in Two Variables
313(52)
The Rectangular Coordinate System
315(12)
To graph points in a rectangular coordinate system
315(2)
To determine ordered-pair solutions of an equation in two variables
317(2)
To determine whether a set of ordered pairs is a function
319(3)
To evaluate a function written in functional notation
322(5)
Linear Equation in Two Variables
327(10)
To graph an equation of the form y = mx + b
327(2)
To graph an equation of the form Ax + By = C
329(3)
To solve application problems
332(5)
Intercepts and Slopes of Straight Lines
337(10)
To find the x- and y-intercepts of a straight line
337(1)
To find the slope of a straight line
338(3)
To graph a line using the slope and the y-intercept
341(6)
Equations of Straight Lines
347(18)
To find the equation of a line given a point and the slope
347(1)
To find the equation of a line given two points
348(2)
To solve application problems
350(5)
Focus on Problem Solving: Counterexamples
355(1)
Projects and Group Activities: Graphing Linear Equations with a Graphing Utility
356(1)
Graphs of Motion
357(1)
Chapter Summary
358(1)
Chapter Review
359(2)
Chapter Test
361(2)
Cumulative Review
363(2)
Systems of Linear Equations
365(42)
Solving Systems of Linear Equations by Graphing
367(8)
To solve a system of linear equations by graphing
367(8)
Solving Systems of Linear Equations by the Substitution Method
375(10)
To solve a system of linear equations by the substitution method
375(4)
To solve investment problems
379(6)
Solving Systems of Equations by the Addition Method
385(6)
To solve a system of linear equations by the addition method
385(6)
Application Problems in Two Variables
391(16)
To solve rate-of-wind or-current problems
391(1)
To solve application problems using two variables
392(5)
Focus on Problem Solving: Using a Tale and Searching for a Pattern
397(1)
Projects and Group Activities: Find a Pattern
398(1)
Solving a System of Equations with a Scientific Calculator
398(1)
Solving a System of Equations with a Graphing Calculator
399(1)
Chapter Summary
400(1)
Chapter Review
401(2)
Chapter Test
403(2)
Cumulative Review
405(2)
Inequalities
407(34)
Sets
409(6)
To write a set using the roster method
409(1)
To write a set using set-builder notation
410(1)
To graph an inequality on the number line
411(4)
The Addition and Multiplication Properties of Inequalities
415(8)
To solve an inequality using the Addition Property of Inequalities
415(1)
To solve an inequality using the Multiplication Property of Inequalities
416(2)
To solve application problems
418(5)
General Inequalities
423(4)
To solve general inequalities
423(1)
To solve application problems
424(3)
Graphing Linear Inequalities
427(14)
To graph an inequality in two variables
427(4)
Focus on Problem Solving: Graphing Data
431(1)
Projects and Group Activities: Mean and Standard Deviation
432(2)
Chapter Summary
434(1)
Chapter Review
435(2)
Chapter Test
437(2)
Cumulative Review
439(2)
Radical Expressions
441(34)
Introduction to Radical Expressions
443(6)
To simplify numerical radical expressions
443(2)
To simplify variable radical expressions
445(4)
Addition and Subtraction of Radical Expressions
449(4)
To add and subtract radical expressions
449(4)
Multiplication and Division of Radical Expressions
453(6)
To multiply radical expressions
453(1)
To divide radical expressions
454(5)
Solving Equations Containing Radical Expressions
459(16)
To solve an equation containing a radical expression
459(2)
To solve application problems
461(4)
Focus on Problem Solving: Deductive Reasoning
465(1)
Projects and Group Activities: Measurements as Approximations
466(1)
Distance to the Horizon
467(1)
Chapter Summary
468(1)
Chapter Review
469(2)
Chapter Test
471(2)
Cumulative Review
473(2)
Quadratic Equations
475(36)
Solving Quadratic Equations by Factoring or by Taking Square Roots
477(6)
To solve a quadratic equation by factoring
477(2)
To solve a quadratic equation by taking square roots
479(4)
Solving Quadratic Equations by Completing the Square
483(6)
To solve a quadratic equation by completing the square
483(6)
Solving Quadratic Equations by Using the Quadratic Formula
489(4)
To solve a quadratic equation by using the quadratic formula
489(4)
Graphing Quadratic Equations in Two Variables
493(4)
To graph a quadratic equation of the form y = ax2 + bx + c
493(4)
Application Problems
497(14)
To solve application problems
497(4)
Focus on Problem Solving: Algebraic Manipulation and Graphing Techniques
501(1)
Projects and Group Activities: Graphical Solutions of Quadratic Equations
502(1)
Properties of Polynomials
502(1)
Iterative Calculations
503(1)
Geometric Construction of Completing the Square
503(1)
Chapter Summary
504(1)
Chapter Review
505(2)
Chapter Test
507(2)
Cumulative Review
509(2)
Final Exam511(4)
Appendix
Guidelines for Using Graphing Calculators
515(8)
Table of Symbols and Table of Measurement Abbreviations
523
Solutions to ``You Try It''S1
Answers to Odd-Numbered ExercisesA1
GlossaryG1
IndexI1

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