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Intermediate Algebra (Book with CD-ROM)

by
Edition:
6th
ISBN13:

9780618386437

ISBN10:
0618386432
Format:
Paperback
Pub. Date:
7/1/2003
Publisher(s):
Cengage High School

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This is the 6th edition with a publication date of 7/1/2003.
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Summary

Designed for the first-year developmental math course in intermediate algebra, this text retains the hallmark features that have given the Aufmann texts a solid reputation for reliability: a clear writing style, an emphasis on problem-solving strategies, and the acclaimed Aufmann Interactive Method. The text's objective-based framework offers guided learning for both lecture and self-paced courses.

  • The IAE, rich with instructor support materials, features reduced student pages with support material in the margins. (Answers to exercises and transparency icons appear on the reduced student page.) Features include Instructor Notes; tips for introducing new or recycled vocabulary, symbols, formulas, rules, properties or equations; Discuss the Concepts prompts; Concept Check questions; Optional Student Activities; In-Class Examples to present with every objective; Suggested Assignments; Quick Quiz; and Answers to selected Writing Exercises, Focus on Problem Solving activities, and Projects and Group Activities.
  • AIM for Success, a special preface for students, guides them in how to be successful using the text and the Aufmann Interactive Method (AIM). Suggestions for using the Preface as a lesson are featured in the Instructor's Resource Manual.
  • Eduspace, powered by Blackboard, for the Aufmann/Barker/Lockwood Intermediate Algebra course includes algorithmic exercises, an online Study Guide and test bank content in question pools.

Table of Contents

Preface xiii
AIM for Success xxv
Review of Real Numbers
1(52)
Prep Test
2(1)
Introduction to Real Numbers
2(12)
Inequality and absolute value
2(4)
Set operations and interval notation
6(8)
Operations on Rational Numbers
14(14)
Operations on integers
14(3)
Operations on rational numbers
17(3)
Exponential expressions
20(1)
The Order of Operations Agreement
21(7)
Variable Expressions
28(8)
The Properties of the Real Numbers
28(1)
Evaluate variable expressions
29(2)
Simplify variable expressions
31(5)
Verbal Expressions and Variable Expressions
36(17)
Translate a verbal expression into a variable expression
36(2)
Application problems
38(4)
Focus on Problem Solving: Polya's Four-Step Process
42(2)
Projects & Group Activities: Water Displacement
44(1)
Chapter Summary
45(3)
Chapter Review Exercises
48(1)
Chapter Test
49(4)
First-Degree Equations and Inequalities
53(70)
Prep Test
54(1)
Equations in One Variable
54(10)
Solve equations using the Addition and Multiplication Properties of Equations
54(4)
Solve equations using the Distributive Property
58(1)
Application problems
59(5)
Coin, Stamp, and Integer Problems
64(7)
Coin and stamp problems
64(2)
Integer problems
66(5)
Value Mixture and Motion Problems
71(10)
Value mixture problems
71(2)
Uniform motion problems
73(8)
Applications: Problems Involving Percent
81(9)
Investment problems
81(2)
Percent mixture problems
83(7)
Inequalities in One Variable
90(11)
Solve inequalities in one variable
90(3)
Solve compound inequalities
93(2)
Application problems
95(6)
Absolute Value Equations and Inequalities
101(22)
Absolute value equations
101(1)
Absolute value inequalities
102(2)
Application problems
104(4)
Focus on Problem Solving: Understand the Problem
108(2)
Projects & Group Activities: Venn Diagrams
110(1)
Electricity
111(3)
Chapter Summary
114(2)
Chapter Review Exercises
116(2)
Chapter Test
118(1)
Cumulative Review Exercises
119(4)
Linear Functions and Inequalities in Two Variables
123(82)
Prep Test
124(1)
The Rectangular Coordinate System
124(15)
Points on a rectangular coordinate system
124(3)
Find the length and midpoint of a line segment
127(2)
Graph a scatter diagram
129(2)
Average rate of change
131(8)
Introduction to Functions
139(12)
Evaluate a function
139(12)
Linear Functions
151(12)
Graph a linear function
151(2)
Graph an equation of the form Ax + By = C
153(5)
Application problems
158(5)
Slope of a Straight Line
163(10)
Find the slope of a line given two points
163(4)
Graph a line given a point and the slope
167(6)
Finding Equations of Lines
173(7)
Find the equation of a line given a point and the slope
173(2)
Find the equation of a line given two points
175(1)
Application problems
175(5)
Parallel and Perpendicular Lines
180(6)
Find equations of parallel and perpendicular lines
180(6)
Inequalities in Two Variables
186(19)
Graph the solution set of an inequality in two variables
186(5)
Focus on Problem Solving: Find a Pattern
191(1)
Projects & Group Activities: Evaluating a Function with a Graphing Calculator
192(1)
Introduction to Graphing Calculators
192(1)
Wind-Chill Index
193(2)
Chapter Summary
195(2)
Chapter Review Exercises
197(3)
Chapter Test
200(2)
Cumulative Review Exercises
202(3)
Systems of Equations and Inequalities
205(64)
Prep Test
206(1)
Solving Systems of Linear Equations by Graphing and by the Substitution Method
206(8)
Solve a system of linear equations by graphing
206(3)
Solve a system of linear equations by the substitution method
209(5)
Solving Systems of Linear Equations by the Addition Method
214(10)
Solve a system of two linear equations in two variables by the addition method
214(3)
Solve a system of three linear equations in three variables by the addition method
217(7)
Solving Systems of Equations by Using Determinants and by Using Matrices
224(16)
Evaluate determinants
224(3)
Solve systems of linear equations by using Cramer's Rule
227(2)
Solve systems of linear equations by using matrices
229(11)
Application Problems
240(11)
Rate-of-wind and water-current problems
240(2)
Application problems
242(9)
Solving Systems of Linear Inequalities
251(18)
Graph the solution set of a system of linear inequalities
251(3)
Focus on Problem Solving: Solve an Easier Problem
254(1)
Projects & Group Activities: Using a Graphing Calculator to Solve a System of Equations
255(2)
Solving a First-Degree Equation with a Graphing Calculator
257(2)
Chapter Summary
259(3)
Chapter Review Exercises
262(1)
Chapter Test
263(2)
Cumulative Review Exercises
265(4)
Polynomials and Exponents
269(78)
Prep Test
270(1)
Exponential Expressions
270(12)
Multiply monomials
270(2)
Divide monomials and simplify expressions with negative exponents
272(3)
Scientific notation
275(2)
Application problems
277(5)
Introduction to Polynomials
282(11)
Evaluate polynomial functions
282(5)
Add or subtract polynomials
287(6)
Multiplication of Polynomials
293(7)
Multiply a polynomial by a monomial
293(1)
Multiply two polynomials
294(1)
Multiply polynomials that have special products
295(1)
Application problems
296(4)
Division of Polynomials
300(8)
Divide polynomials
300(2)
Synthetic division
302(1)
Evaluate a polynomial using synthetic division
303(5)
Factoring Polynomials
308(11)
Factor a monomial from a polynomial
308(1)
Factor by grouping
308(2)
Factor trinomials of the form x2 + bx + c
310(2)
Factor trinomials of the form ax2 + bx + c
312(7)
Special Factoring
319(8)
Factor the difference of two perfect squares and factor perfect-square trinomials
319(2)
Factor the sum or the difference of two cubes
321(1)
Factor trinomials that are quadratic in form
322(1)
Factor completely
323(4)
Solving Equations by Factoring
327(20)
Solve equations by factoring
327(3)
Application problems
330(4)
Focus on Problem Solving: Find a Counterexample
334(1)
Projects & Group Activities: Reverse Polish Notation
335(1)
Pythagorean Triples
336(1)
Astronomical Distances and Scientific Notation
336(2)
Chapter Summary
338(2)
Chapter Review Exercises
340(2)
Chapter Test
342(1)
Cumulative Review Exercises
343(4)
Rational Expressions
347(62)
Prep Test
348(1)
Introduction to Rational Functions
348(8)
Find the domain of a rational function
348(2)
Simplify rational expressions
350(6)
Operations on Rational Expressions
356(10)
Multiply and divide rational expressions
356(2)
Add and subtract rational expressions
358(8)
Complex Fractions
366(5)
Simplify complex fractions
366(5)
Rational Equations
371(11)
Solve fractional equations
371(2)
Work problems
373(2)
Uniform motion problems
375(7)
Proportions and Variation
382(10)
Proportions
382(2)
Variation problems
384(8)
Literal Equations
392(17)
Solve literal equations
392(3)
Focus on Problem Solving: Implication
395(1)
Projects & Group Activities: Continued Fractions
396(1)
Graphing Rational Functions
397(1)
Transformers
398(1)
Chapter Summary
399(3)
Chapter Review Exercises
402(2)
Chapter Test
404(1)
Cumulative Review Exercises
405(4)
Rational Exponents and Radicals
409(54)
Prep Test
410(1)
Rational Exponents and Radical Expressions
410(9)
Simplify expressions with rational exponents
410(2)
Write exponential expressions as radical expressions and radical expressions as exponential expressions
412(2)
Simplify radical expressions that are roots of perfect powers
414(5)
Operations on Radical Expressions
419(9)
Simplify radical expressions
419(1)
Add and subtract radical expressions
420(1)
Multiply radical expressions
421(1)
Divide radical expressions
422(6)
Radical Functions
428(5)
Find the domain of a radical function
428(1)
Graph a radical function
429(4)
Solving Equations Containing Radical Expressions
433(8)
Solve equations containing one or more radical expressions
433(3)
Application problems
436(5)
Complex Numbers
441(22)
Simplify complex numbers
441(1)
Add and subtract complex numbers
442(1)
Multiply complex numbers
443(2)
Divide complex numbers
445(4)
Focus on Problem Solving: Another Look at Polya's Four-Step Process
449(1)
Projects & Group Activities: Graphing Complex Numbers
450(2)
Solving Radical Equations with a Graphing Calculator
452(1)
The Golden Rectangle
452(2)
Chapter Summary
454(1)
Chapter Review Exercises
455(2)
Chapter Test
457(1)
Cumulative Review Exercises
458(5)
Quadratic Equations and Inequalities
463(72)
Prep Test
464(1)
Solving Quadratic Equations by Factoring or by Taking Square Roots
464(7)
Solve quadratic equations by factoring
464(1)
Write a quadratic equation given its solutions
465(1)
Solve quadratic equations by taking square roots
466(5)
Solving Quadratic Equations by Completing the Square and by Using the Quadratic Formula
471(13)
Solve quadratic equations by completing the square
471(4)
Solve quadratic equations by using the quadratic formula
475(9)
Equations that are Reducible to Quadratic Equations
484(6)
Equations that are quadratic in form
484(1)
Radical equations
485(2)
Fractional equations
487(3)
Applications of Quadratic Equations
490(6)
Application problems
490(6)
Nonlinear Inequalities
496(5)
Solve nonlinear inequalities
496(5)
Properties of Quadratic Functions
501(13)
Graph a quadratic function
501(4)
Find the x-intercepts of a parabola
505(9)
Applications of Quadratic Functions
514(21)
Minimum and maximum problems
514(1)
Applications of minimum and maximum
515(6)
Focus on Problem Solving: Inductive and Deductive Reasoning
521(1)
Projects & Group Activities: Completing the Square
522(1)
Using a Graphing Calculator to Solve a Quadratic Equation
523(1)
Finding the Maximum or Minimum of a Function Using a Graphing Calculator
524(1)
Business Applications of Maximum and Minimum Values of Quadratic Functions
525(1)
Chapter Summary
526(3)
Chapter Review Exercises
529(1)
Chapter Test
530(1)
Cumulative Review Exercises
531(4)
Functions and Relations
535(46)
Prep Test
536(1)
Graphs of Functions
536(10)
Graph functions
536(10)
Translations of Graphs
546(7)
Graph by using translations
546(7)
Algebra of Functions
553(6)
Perform operations on functions
553(2)
Find the composition of two functions
555(4)
One-to-One and Inverse Functions
559(22)
Determine whether a function is one-to-one
559(2)
Find the inverse of a function
561(7)
Focus on Problem Solving: Proof in Mathematics
568(1)
Projects & Group Activities: Applications of the Composition of Functions
569(2)
Chapter Summary
571(2)
Chapter Review Exercises
573(2)
Chapter Test
575(1)
Cumulative Review Exercises
576(5)
Exponential and Logarithmic Functions
581(60)
Prep Test
582(1)
Exponential Functions
582(8)
Evaluate exponential functions
582(2)
Graph exponential functions
584(6)
Introduction to Logarithms
590(14)
Write equivalent exponential and logarithmic equations
590(3)
The Properties of Logarithms
593(11)
Graphs of Logarithmic Functions
604(7)
Graph logarithmic functions
604(7)
Exponential and Logarithmic Equations
611(7)
Solve exponential equations
611(2)
Solve logarithmic equations
613(5)
Applications of Exponential and Logarithmic Functions
618(23)
Application problems
618(10)
Focus on Problem Solving: Proof by Contradiction
628(1)
Projects & Group Activities: Fractals
629(1)
Credit Reports and FICO® Scores
630(2)
Chapter Summary
632(1)
Chapter Review Exercises
633(2)
Chapter Test
635(1)
Cumulative Review Exercises
636(5)
Sequences and Series
641(42)
Prep Test
642(1)
Introduction to Sequences and Series
642(6)
Write the terms of a sequence
642(2)
Evaluate a series
644(4)
Arithmetic Sequences and Series
648(7)
Find the nth term of an arithmetic sequence
648(2)
Evaluate an arithmetic series
650(2)
Application problems
652(3)
Geometric Sequences and Series
655(10)
Find the nth term of a geometric sequence
655(2)
Finite geometric series
657(2)
Infinite geometric series
659(2)
Application problems
661(4)
Binomial Expansions
665(18)
Expand (a + b)n
665(6)
Focus on Problem Solving: Forming Negations
671(2)
Projects & Group Activities: ISBN and UPC Numbers
673(1)
Chapter Summary
674(2)
Chapter Review Exercises
676(2)
Chapter Test
678(1)
Cumulative Review Exercises
679(4)
Conic Sections
683(40)
Prep Test
684(1)
The Parabola
684(6)
Graph parabolas
684(6)
The Circle
690(6)
Find the equation of a circle and then graph the circle
690(2)
Write the equation of a circle in standard form and then graph the circle
692(4)
The Ellipse and the Hyperbola
696(7)
Graph an ellipse with center at the origin
696(2)
Graph a hyperbola with center at the origin
698(5)
Solving Nonlinear Systems of Equations
703(5)
Solve nonlinear systems of equations
703(5)
Quadratic Inequalities and Systems of Inequalities
708(15)
Graph the solution set of a quadratic inequality in two variables
708(1)
Graph the solution set of a nonlinear system of inequalities
709(5)
Focus on Problem Solving: Use a Variety of Problem-Solving Strategies
714(1)
Projects & Group Activities: The Eccentricity and Foci of an Ellipse
715(1)
Graphing Conic Sections Using a Graphing Calculator
716(1)
Chapter Summary
717(2)
Chapter Review Exercises
719(2)
Chapter Test
721(2)
Final Exam
723(4)
Appendix
Table of Properties
727(2)
Calculator Guide for the TI-83 and TI-83 Plus
729
Solutions to Student Problems 1(1)
Answers to Selected Exercises 1(1)
Glossary 1(1)
Index 1


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