Algebra

• ISBN13:

• ISBN10:

0395976030

• Edition: 2nd
• Format: Paperback
• Publisher: Brooks Cole
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Preface xiii
To the Student xxi
Index of Applications xxiii
 Real Numbers and Variable Expressions
1(70)
 Integers
3(14)
 To use inequality symbols with integers
3(1)
 To find the additive inverse and absolute value of a number
4(1)
5(2)
 To multiply or divide integers
7(3)
 To solve application problems
10(7)
 Rational and Irrational Numbers
17(16)
 To Write a rational number as a decimal
17(1)
 To convert among percents, fractions, and decimals
18(1)
 To add or subtract rational numbers
19(1)
 To multiply or divide rational numbers
20(2)
 To evaluate exponential expressions
22(2)
24(2)
 To solve application problems
26(7)
 The Order of Operations Agreement
33(4)
 To use the Order of Operations Agreement to simplify expressions
33(4)
 Variable Expressions
37(18)
 To evaluate a variable expression
37(1)
 To simplify a variable expression using the Properties of Addition
38(2)
 To simplify a variable expression using the Properties of Multiplication
40(2)
 To simplify a variable expression using the Distributive Property
42(2)
 To translate a verbal expression into a variable expression
44(11)
 Sets
55(16)
 To write a set using the roster method
55(1)
 To write a set using set-builder notation
56(1)
 To graph an inequality on the number line
57(4)
 Focus on Problem Solving
61(1)
 Projects and Group Activities
62(2)
 Chapter Summary
64(3)
 Chapter Review
67(2)
 Chapter Test
69(2)
 First-Degree Equations and Inequalities
71(72)
 Introduction to Equations
73(12)
 To determine whether a given number is solution of an equation
73(1)
 To solve an equation of the form x + a = b
74(1)
 To solve an equation of the form ax = b
75(2)
 To solve application problems using the basic percent equation
77(8)
 General Equations
85(12)
 To solve an equation of the form ax + b = c
85(1)
 To solve an equation of the form ax + b = cx + d
86(1)
 To solve an equation containing parentheses
87(2)
 To translate a sentence into an equation and solve
89(8)
 Mixture, Investment, and Motion Problems
97(16)
 To solve value mixture problems
97(2)
 To solve percent mixture problems
99(2)
 To solve investment problems
101(2)
 To solve uniform motion problems
103(10)
 Inequalities in One Variable
113(12)
 To solve an inequality in one variable
113(3)
 To solve a compound inequality
116(2)
 To solve application problems
118(7)
 Absolute Value Equations and Inequalities
125(18)
 To solve an absolute value equation
125(1)
 To solve an absolute value inequality
126(2)
 To solve application problems
128(5)
 Focus on Problem Solving
133(1)
 Projects and Group Activities
134(2)
 Chapter Summary
136(1)
 Chapter Review
137(2)
 Chapter Test
139(2)
 Cumulative Review
141(2)
 Geometry
143(56)
 Introduction to Geometry
145(16)
 To solve problems involving lines and angles
145(5)
 To solve problems involving angles formed by intersecting lines
150(3)
 To solve problems involving the angles of a triangle
153(8)
 Plane Geometric Figures
161(18)
 To solve problems involving the perimeter of geometric figures
161(5)
 To solve problems involving the area of geometric figures
166(13)
 Solids
179(20)
 To solve problems involving the volume of a solid
179(3)
 To solve problems involving the surface area of a solid
182(7)
 Focus on Problem Solving
189(1)
 Projects and Group Activities
190(1)
 Chapter Summary
191(2)
 Chapter Review
193(2)
 Chapter Test
195(2)
 Cumulative Review
197(2)
 Linear Equations and Inequalities in Two Variables
199(64)
 The Rectangular Coordinate System
201(12)
 To graph points in a rectangular coordinate system
201(2)
 To determine ordered-pair solutions of an equation in two variables
203(2)
 To determine whether a set of ordered pairs is a function
205(3)
 To evaluate a function written in functional notation
208(5)
 Linear Equations in Two Variables
213(12)
 To graph an equation of the form y = mx + b
213(2)
 To graph an equation of the form Ax + By = C
215(5)
 To solve application problems
220(5)
 Slopes of Straight Lines
225(10)
 To find the slope of a straight line
225(4)
 To graph a line using the slope and the y-intercept
229(6)
 Euqations of Straight Lines
235(8)
 To find the equation of a line given a point and the slope
235(1)
 To find the equation of a line given two points
236(2)
 To solve application problems
238(5)
 Parallel and Perpendicular Lines
243(6)
 To find parallel and perpendicular lines
243(6)
 Graphing Linear Inequalities
249(14)
 To graph an inequality in two variables
249(4)
 Focus on Problem Solving
253(1)
 Projects and Group Activities
254(2)
 Chapter Summary
256(1)
 Chapter Review
257(2)
 Chapter Test
259(2)
 Cumulative Review
261(2)
 Systems of Linear Equations and Inequalities
263(56)
 Solving Systems of Linear Equations by Graphing
265(6)
 To solve a system of linear equations by graphing
265(6)
 Solving Systems of Linear Equations by the Substitution Method
271(6)
 To solve a system of linear equations by the substitution method
271(6)
 Solving Systems of Linear Equations by the Addition Method
277(12)
 To solve a system of linear equations in two variables by the addition method
277(3)
 To solve a system of three linear equations in three variables by the addition method
280(9)
 Solving Systems of Equations by Using Determinants
289(8)
 To evaluate a determinant
289(3)
 To solve a system of equations by using Cramer's Rule
292(5)
 Application Problems in Two Variables
297(8)
 To solve rate-of-wind of rate-of-current problems
297(1)
 To solve application problems using two variables
298(7)
 Solving Systems of Linear Inequalities
305(14)
 To graph the solution set of a system of linear inequalities
305(4)
 Focus on Problem Solving
309(1)
 Projects and Group Activities
309(2)
 Chapter Summary
311(2)
 Chapter Review
313(2)
 Chapter Test
315(2)
 Cumulative Review
317(2)
 Polynomials
319(50)
 Exponential Expressions
321(12)
 To multiply monomials
321(2)
 To divide monomials and simplify expressions with negative exponents
323(4)
 To write a number using scientific notation
327(1)
 To solve application problems
328(5)
 Introduction to Polynomials
333(8)
 To evaluate polynomial functions
333(3)
336(5)
 Multiplication of Polynomials
341(8)
 To multiply a polynomial by a monomial
341(1)
 To multiply two polynomials
341(1)
 To multiply two binomials
342(1)
 To multiply binomials that have special products
343(1)
 To solve application problems
344(5)
 Division of Polynomials
349(20)
 To divide polynomials
349(2)
 To divide polynomials using synthetic division
351(3)
 To evaluate a polynomial using synthetic division
354(5)
 Focus on Problem Solving
359(2)
 Projects and Group Activities
361(1)
 Chapter Summary
361(2)
 Chapter Review
363(2)
 Chapter Test
365(2)
 Cumulative Review
367(2)
 Factoring
369(52)
 Common Factors
371(6)
 To factor a monomial from a polynomial
371(2)
 To factor by grouping
373(4)
 Factoring Polynomials of the Form x2 + bx + c
377(8)
 To factor a trinomial of the form x2 + bx + c
377(2)
 To factor completely
379(6)
 Factoring Polynomials of the Form ax2 + bx + c
385(8)
 To factor a trinomial of the form ax2 + bx + c by using trial factors
385(2)
 To factor a trinomial of the form ax2 + bx + c by grouping
387(6)
 Special Factoring
393(10)
 To factor the difference of two perfect squares or a perfect-square trinomial
393(2)
 To factor the sum or the difference of two cubes
395(1)
 To factor a trinomial that is quadratic in form
396(1)
 To factor completely
397(6)
 Solving Equations
403(18)
 To solve equations by factoring
403(2)
 To solve application problems
405(6)
 Focus on Problem Solving
411(2)
 Projects and Group Activities
413(1)
 Chapter Summary
414(1)
 Chapter Review
415(2)
 Chapter Test
417(2)
 Cumulative Review
419(2)
 Rational Expressions
421(66)
 Multiplication and Division of Rational Expressions
423(8)
 To simplify a rational expression
423(1)
 To multiply rational expressions
424(2)
 To divide rational expressions
426(5)
 Addition and Subtraction of Rational Expressions
431(12)
 To find the least common multiple (LCM) of two or more polynomials
431(1)
 To express two fractions in terms of the LCM of their denominators
432(1)
 To add or subtract rational expressions with the same denominator
433(1)
 To add or subtract rational expressions with different denominators
434(9)
 Complex Fractions
443(4)
 To simplify a complex fraction
433(14)
 Rational Equations
447(12)
 To solve rational equations
447(2)
 To solve proportions
449(1)
 To solve problems involving similar triangles
450(2)
 To solve application problems
452(7)
 Literal Equations
459(4)
 To solve a literal equation for one of the variables
459(4)
 Work and Uniform Motion Problems
463(8)
 To solve work problems
463(2)
 To solve uniform motion problems
465(6)
 Variation
471(16)
 To solve variation problems
471(6)
 Focus on Problem Solving
477(1)
 Projects and Group Activities
478(2)
 Chapter Summary
480(1)
 Chapter Review
481(2)
 Chapter Test
483(2)
 Cumulative Review
485(2)
487(48)
489(10)
 To simplify expressions with rational exponents
489(2)
 To write exponential expressions as radical expressions and to write radical expressions as exponential expressions
491(2)
 To simplify radical expressions that are roots of perfect powers
493(6)
499(10)
499(1)
500(1)
501(1)
502(7)
 Complex Numbers
509(8)
 To simplify a complex number
509(1)
 To add or subtract complex numbers
510(1)
 To multiply complex numbers
511(3)
 To divide complex numbers
514(3)
517(18)
517(2)
 To solve application problems
519(6)
 Focus on Problem Solving
525(1)
 Projects and Group Activities
526(1)
 Chapter Summary
527(2)
 Chapter Review
529(2)
 Chapter Test
531(2)
 Cumulative Review
533(2)
535(46)
 Solving Quadratic Equations by Factoring or by Taking Square Roots
537(8)
 To solve a quadratic equation by factoring
537(1)
 To write a quadratic equation given its solutions
538(1)
 To solve a quadratic equation by taking square roots
539(6)
 Solving Quadratic Equations by Completing the Square
545(6)
 To solve a quadratic equation by completing the square
545(6)
551(6)
551(6)
 Solving Equations That are Reducible to Quadratic Equations
557(6)
 To solve an equation that is quadratic in form
557(1)
 To solve a radical equation that is reducible to a quadratic equation
558(2)
 To solve a fractional equation that is reducible to a quadratic equation
560(3)
563(4)
 To solve application problems
563(4)
567(14)
 To solve a nonlinear inequality
567(4)
 Focus on Problem Solving
571(1)
 Projects and Group Activities
572(2)
 Chapter Summary
574(1)
 Chapter Review
575(2)
 Chapter Test
577(2)
 Cumulative Review
579(2)
 Functions and Relations
581(60)
 Linear Functions
583(4)
 To graph a linear function
583(1)
 To solve application problems
584(3)
587(10)
587(2)
 To find the x-intercepts of a parabola
589(2)
 To find the minimum or maximum of a quadratic function
591(1)
 To solve application problems
592(5)
 Graph of Functions
597(6)
 To graph functions
597(6)
 Algebra of Functions
603(6)
 To perform operations on functions
603(2)
 To find the composition of two functions
605(4)
 One-to-One and Inverse Functions
609(8)
 To determine whether a function is one-to-one
609(1)
 To find the inverse of a function
610(7)
 Conic Sections
617(24)
 To graph a parabola
617(4)
 To find the Equation of a circle and to graph a circle
621(2)
 To graph an ellipse with center at the origin
623(2)
 To graph a hyperbola with center at the origin
625(6)
 Focus on Problem Solving
631(1)
 Projects and Group Activities
632(1)
 Chapter Summary
633(2)
 Chapter Review
635(2)
 Chapter Test
637(2)
 Cumulative Review
639(2)
 Exponential and Logarithmic Functions
641(52)
 Exponential Functions
643(8)
 To evaluate an exponential function
643(2)
 To graph an exponential function
645(6)
 Introduction to Logarithms
651(10)
 To write equivalent exponential and logarithmic equations
651(2)
 To use the Properties of Logarithms
653(3)
 To use the change-of-base formula
656(5)
 Graphs of Logarithmic Functions
661(4)
 To graph a logarithmic function
661(4)
 Solving Exponential and Logarithmic Equations
665(6)
 To solve an exponential equation
665(2)
 To solve a logarithmic equation
667(4)
 Applications of Exponential and Logarithmic Functions
671(22)
 To solve application problems
671(8)
 Focus on Problem Solving
679(1)
 Projects and Group Activities
680(2)
 Chapter Summary
682(1)
 Chapter Review
683(2)
 Chapter Test
685(2)
 Cumulative Review
687(2)
 Final Exam
689(4)
Appendix 693(1)
 Guidelines for Using Graphing Calculators
693(8)
 Table of Symbols and Table of Measurement Abbreviations
701
Solutions to ``You Try It'' S1