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Intermediate Alegbra With Applications

by Unknown
Edition:
5th
ISBN13:

9780395969618

ISBN10:
0395969611
Format:
Paperback
Pub. Date:
7/16/1999
Publisher(s):
Brooks Cole
List Price: $127.33

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This is the 5th edition with a publication date of 7/16/1999.
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Table of Contents

Preface xiii
Index of Applications xxv
Review of Real Numbers
1(52)
Introduction to Real Numbers
3(12)
Inequality and absolute value
3(3)
Set operations and interval notation
6(9)
Operations on Rational Numbers
15(13)
Operations on integers
15(3)
Operations on rational numbers
18(3)
Exponential expressions
21(1)
The Order of Operations Agreement
22(6)
Variable Expressions
28(9)
The Properties of the Real Numbers
28(2)
Evaluate variable expressions
30(2)
Simplify variable expressions
32(5)
Verbal Expressions and Variable Expressions
37(16)
Translate a verbal expression into a variable expression
37(2)
Application problems
39(4)
Focus on Problem Solving: Polya's Four-Step Process
43(3)
Projects and Group Activities: Water Displacement
46(1)
Chapter Summary
47(2)
Chapter Review Exercises
49(1)
Chapter Test
50(3)
First-Degree Equations and Inequalities
53(64)
Equations in One Variable
55(10)
Solve equations using the Addition and Multiplication Properties of Equations
55(3)
Solve equations using the Distributive Property
58(2)
Application problems
60(5)
Coin, Stamp, and Integer Problems
65(7)
Coin and stamp problems
65(2)
Integer problems
67(5)
Value Mixture and Motion Problems
72(7)
Value mixture problems
72(1)
Uniform motion problems
73(6)
Applications: Problems Involving Percent
79(9)
Investment problems
79(2)
Percent mixture problems
81(7)
Inequalities in One Variable
88(10)
Solve inequalities in one variable
88(2)
Solve compound inequalities
90(2)
Application problems
92(6)
Absolute Value Equations and Inequalities
98(19)
Absolute value equations
98(2)
Absolute value inequalities
100(2)
Application problems
102(4)
Focus on Problem Solving: Understand the Problem
106(1)
Projects and Group Activities: Venn Diagrams
107(1)
Absolute Value Equations and Inequalities
108(1)
Chapter Summary
109(3)
Chapter Review Exercises
112(1)
Chapter Test
113(1)
Cumulative Review Exercises
114(3)
Linear Functions and Inequalities in Two Variables
117(76)
The Rectangular Coordinate System
119(10)
Points on a rectangular coordinate system
119(2)
Find the length and midpoint of a line segment
121(2)
Graph a scatter diagram
123(6)
Introduction to Functions
129(13)
Evaluate a function
129(13)
Linear Functions
142(13)
Graph a linear function
142(2)
Graph an equation of the form Ax + By = C
144(5)
Application problems
149(6)
Slope of a Straight Line
155(9)
Find the slope of a line given two points
155(3)
Graph a line given a point and the slope
158(6)
Finding Equations of Lines
164(8)
Find the equation of a line given a point and the slope
164(2)
Find the equation of a line given two points
166(1)
Application problems
167(5)
Parallel and Perpendicular Lines
172(7)
Find equations of parallel and perpendicular lines
172(7)
Inequalities in Two Variables
179(14)
Graph the solution set of an inequality in two variables
179(3)
Focus on Problem Solving: Find a Pattern
182(2)
Projects and Group Activities: Evaluating a Function with a Graphing Calculator
184(1)
Introduction to Graphing Calculators
184(1)
Chapter Summary
185(2)
Chapter Review Exercises
187(3)
Chapter Test
190(1)
Cumulative Review Exercises
191(2)
Systems of Equations and Inequalities
193(58)
Solving Systems of Linear Equations by Graphing and by the Substitution Method
195(7)
Solve a system of linear equations by graphing
195(2)
Solve a system of linear equations by the substitution method
197(5)
Solving Systems of Linear Equations by the Addition Method
202(10)
Solve a system of two linear equations in two variables by the addition method
202(2)
Solve a system of three linear equations in three variables by the addition method
204(8)
Solving Systems of Equations by Using Determinants and by Using Matrices
212(13)
Evaluate determinants
212(2)
Solve systems of linear equations by using Cramer's Rule
214(3)
Solve systems of linear equations by using matrices
217(8)
Application Problems
225(11)
Rate-of-wind and water-current problems
225(2)
Application problems
227(9)
Solving Systems of Linear Inequalities
236(15)
Graph the solution set of a system of linear inequalities
236(3)
Focus on Problem Solving: Solve an Easier Problem
239(1)
Projects and Group Activities: Using a Graphing Calculator to Solve a System of Equations
240(1)
Solving a First-Degree Equation with a Graphing Calculator
241(2)
Chapter Summary
243(3)
Chapter Review Exercises
246(1)
Chapter Test
247(2)
Cumulative Review Exercises
249(2)
Polynomials and Exponents
251(74)
Exponential Expressions
253(11)
Multiply monomials
253(1)
Divide monomials and simplify expressions with negative exponents
254(4)
Scientific notation
258(1)
Application problems
259(5)
Introduction to Polynomials
264(10)
Evaluate polynomial functions
264(4)
Add or subtract polynomials
268(6)
Multiplication of Polynomials
274(8)
Multiply a polynomial by a monomial
274(1)
Multiply to polynomials
275(1)
Multiply polynomials that have special products
276(1)
Application problems
277(5)
Division of Polynomials
282(7)
Divide polynomials
282(1)
Synthetic division
283(2)
Evaluate a polynomial using synthetic division
285(4)
Factoring Polynomials
289(11)
Factor a monomial from a polynomial
289(1)
Factor by grouping
290(1)
Factor trinomials of the form x2 + bx + c
291(2)
Factor trinomials of the form ax2 + bx + c
293(7)
Special Factoring
300(8)
Factor the difference of two perfect squares and factor perfect-square trinomials
300(2)
Factor the sum or the difference of two cubes
302(1)
Factor trinomials that are quadratic in form
303(1)
Factor completely
304(4)
Solving Equations by Factoring
308(17)
Solve equations by factoring
308(2)
Application problems
310(5)
Focus on Problem Solving: Find a Counterexample
315(1)
Projects and Group Activities: Reverse Polish Notation
316(1)
Pythagorean Triples
317(1)
Chapter Summary
318(2)
Chapter Review Exercises
320(2)
Chapter Test
322(1)
Cumulative Review Exercises
323(2)
Rational Expressions
325(52)
Introduction to Rational Functions
327(6)
Find the domain of a rational function
327(2)
Simplify rational expressions
329(4)
Operations on Rational Expressions
333(8)
Multiply and divide rational expressions
333(1)
Add and subtract rational expressions
334(7)
Complex Fractions
341(4)
Simplify complex fractions
341(4)
Rational Equations
345(10)
Solve fractional equations
345(1)
Work problems
346(2)
Uniform motion problems
348(7)
Proportions and Variation
355(10)
Proportions
355(2)
Variation problems
357(8)
Literal Equations
365(12)
Solve literal equations
365(2)
Focus on Problem Solving: Implication
367(1)
Projects and Group Activities: Continued Fractions
368(1)
Graphing Rational Expressions
369(1)
Chapter Summary
370(2)
Chapter Review Exercises
372(2)
Chapter Test
374(1)
Cumulative Review Exercises
375(2)
Rational Exponents and Radicals
377(52)
Rational Exponents and Radical Expressions
379(8)
Simplify expressions with rational exponents
379(2)
Write exponential expressions as radical expressions and radical expressions as exponential expressions
381(1)
Simplify radical expressions that are roots of perfect powers
382(5)
Operations on Radical Expressions
387(9)
Simplify radical expressions
387(1)
Add and subtract radical expressions
388(1)
Multiply radical expressions
389(1)
Divide radical expressions
390(6)
Complex Numbers
396(8)
Simplify complex numbers
396(2)
Add and subtract complex numbers
398(1)
Multiply complex numbers
398(2)
Divide complex numbers
400(4)
Radical Functions
404(6)
Find the domain of a radical function
404(1)
Graph a radical function
405(5)
Solving Equations Containing Radical Expressions
410(19)
Solve equations containing one or more radical expressions
410(2)
Application problems
412(6)
Focus on Problem Solving: Another Look at Polya's Four-Step Process
418(1)
Projects and Group Activities: Graphing Complex Numbers
419(2)
Solving Radical Equations with a Graphing Calculator
421(1)
Chapter Summary
422(1)
Chapter Review Exercises
423(2)
Chapter Test
425(1)
Cumulative Review Exercises
426(3)
Quadratic Equations and Inequalities
429(66)
Solving Quadratic Equations by Factoring or by Taking Square Roots
431(7)
Solve quadratic equations by factoring
431(1)
Write a quadratic equation given its solutions
432(1)
Solve quadratic equations by taking square roots
433(5)
Solving Quadratic Equations by Completing the Square and by Using the Quadratic Formula
438(11)
Solve quadratic equations by completing the square
438(3)
Solve quadratic equations by using the quadratic formula
441(8)
Equations That Are Reducible to Quadratic Equations
449(7)
Equations that are quadratic in form
449(2)
Radical equations
451(1)
Fractional equations
452(4)
Applications of Quadratic Equations
456(6)
Application problems
456(6)
Nonlinear Inequalities
462(4)
Solve inequalities by factoring
462(1)
Solve rational inequalities
463(3)
Properties of Quadratic Functions
466(13)
Graph a quadratic function
466(4)
Find the x-intercepts of a parabola
470(9)
Applications of Quadratic Functions
479(16)
Minimum and maximum problems
479(1)
Applications of minimum and maximum
480(4)
Focus on Problem Solving: Inductive and Deductive Reasoning
484(1)
Projects and Group Activities: Completing the Square
485(1)
Using a Graphing Calculator to Solve a Quadratic Equation
486(1)
Solving Nonlinear Inequalities Using a Graphing Calculator
487(1)
Chapter Summary
488(2)
Chapter Review Exercises
490(1)
Chapter Test
491(1)
Cumulative Review Exercises
492(3)
Functions and Relations
495(44)
Graphs of Functions
497(9)
Graph functions
497(9)
Translations of Graphs
506(7)
Graph by using translations
506(7)
Algebra of Functions
513(5)
Perform operations on functions
513(2)
Find the composition of two functions
515(3)
One-to-One and Inverse Functions
518(21)
Determine whether a function is one-to-one
518(2)
Find the inverse of a function
520(7)
Focus on Problem Solving: Proof in Mathematics
527(1)
Projects and Group Activities: Derivative Investments
528(2)
Properties of Polynomials
530(1)
The Greatest-Integer Function
531(1)
Chapter Summary
532(2)
Chapter Review Exercises
534(2)
Chapter Test
536(1)
Cumulative Review Exercises
537(2)
Exponential and Logarithmic Functions
539(58)
Exponential Functions
541(9)
Evaluate exponential functions
541(2)
Graph exponential functions
543(7)
Introduction to Logarithms
550(13)
Write equivalent exponential and logarithmic equations
550(3)
The Properties of Logarithms
553(10)
Graphs of Logarithmic Functions
563(7)
Graph logarithmic functions
563(7)
Exponential and Logarithmic Equations
570(8)
Solve exponential equations
570(2)
Solve logarithmic equations
572(6)
Applications of Exponential and Logarithmic Functions
578(19)
Application problems
578(10)
Focus on Problem Solving: Proof by Contradiction
588(1)
Projects and Group Activities: Fractals
589(2)
Chapter Summary
591(1)
Chapter Review Exercises
592(1)
Chapter Test
593(1)
Cumulative Review Exercises
594(3)
Sequences and Series
597(40)
Introduction to Sequences and Series
599(6)
Write the terms of a sequence
599(1)
Find the sum of a series
600(5)
Arithmetic Sequences and Series
605(7)
Find the nth term of an arithmetic sequence
605(2)
Find the sum of an arithmetic series
607(1)
Application problems
608(4)
Geometric Sequences and Series
612(9)
Find the nth term of a geometric sequence
612(1)
Finite geometric series
613(2)
Infinite geometric series
615(2)
Application problems
617(4)
Binomial Expansions
621(16)
Expand (a + n)n
621(6)
Focus on Problem Solving: Forming Negations
627(1)
Projects and Group Activities: ISBN and UPC Numbers
628(1)
Finding the Proper Dosage
629(2)
Chapter Summary
631(1)
Chapter Review Exercises
632(2)
Chapter Test
634(1)
Cumulative Review Exercises
635(2)
Conic Sections
637(38)
The Parabola
639(5)
Graph parabolas
639(5)
The Circle
644(6)
Find the equation of a circle and then graph the circle
644(2)
Write the equation of a circle in standard form and then graph the circle
646(4)
The Ellipse and the Hyperbola
650(7)
Graph an ellipse with center at the origin
650(2)
Graph a hyperbola with center at the origin
652(5)
Solving Nonlinear Systems of Equations
657(5)
Solve nonlinear systems of equations
657(5)
Quadratic Inequalities and Systems of Inequalities
662(13)
Graph the solution set of a quadratic inequality in two variables
662(1)
Graph the solution set of a nonlinear system of inequalities
663(5)
Focus on Problem Solving: Use a Variety of Problem-Solving Strategies
668(1)
Projects and Group Activities: Graphing Conic Sections Using a Graphing Utility
668(1)
Chapter Summary
669(2)
Chapter Review Exercises
671(2)
Chapter Test
673(2)
Final Exam 675(4)
Appendix: Guidelines for Using Graphing Calculators 679
Solutions to Problems S1
Answers to Odd-Numbered Exercises A1
Glossary G1
Index I1


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