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Algebra for College Students

ISBN: 9780534371630 | 0534371639
Edition: 6th
Format: Paperback
Publisher: Brooks Cole
Pub. Date: 10/12/1999

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SummaryTable of Contents
The basic concepts of algebra are presented in a simple, straightforward manner. Algebraic ideas are developed in a logical sequence, through examples, continuously reinforced through additional examples, and then applied in a variety of problem-solving situations. In the examples, students are guided to organize their work and to decide when a meaningful shortcut might be used.
Basic Concepts and Properties
1(43)
Sets, Real Numbers, and Numerical Expressions
2(9)
... MORE
Operations with Real Numbers
11(10)
Properties of Real Numbers and the Use of Exponents
21(8)
Algebraic Expressions
29(15)
Summary
39(2)
Review Problem Set
41(2)
Test
43(1)
Equations, Inequalities, and Problem Solving
44(61)
Solving First-Degree Equations
45(7)
Equations Involving Fractional Forms
52(8)
Equations Involving Decimals and Problem Solving
60(7)
Formulas
67(10)
Inequalities
77(7)
More on Inequalities and Problem Solving
84(9)
Equations and Inequalities Involving Absolute Value
93(12)
Summary
100(2)
Review Problem Set
102(2)
Test
104(1)
Linear Equations and Inequalities in Two Variables
105(55)
Rectangular Coordinate System
106(13)
Linear Equations in Two Variables
119(9)
Linear Inequalities in Two Variables
128(5)
Distance and Slope
133(10)
Determining the Equation of a Line
143(17)
Summary
155(2)
Review Problem Set
157(1)
Test
158(2)
Polynomials
160(58)
Polynomials: Sums and Differences
161(6)
Products and Quotients of Monomials
167(6)
Multiplying Polynomials
173(9)
Factoring: Use of the Distributive Property
182(7)
Factoring: Difference of Two Squares and Sum or Difference of Two Cubes
189(7)
Factoring Trinomials
196(8)
Equations and Problem Solving
204(14)
Summary
211(2)
Review Problem Set
213(2)
Test
215(1)
Cumulative Review Problem Set (Chapters 1--4)
216(2)
Rational Expressions
218(59)
Simplifying Rational Expressions
219(6)
Multiplying and Dividing Rational Expressions
225(6)
Adding and Subtracting Rational Expressions
231(9)
More on Rational Expressions and Complex Fractions
240(9)
Dividing Polynomials
249(4)
Fractional Equations
253(9)
More Fractional Equations and Applications
262(15)
Summary
272(1)
Review Problem Set
273(2)
Test
275(2)
Exponents and Radicals
277(48)
Using Integers as Exponents
278(6)
Roots and Radicals
284(11)
Combining Radicals and Simplifying Radicals That Contain Variables
295(5)
Products and Quotients Involving Radicals
300(5)
Equations Involving Radicals
305(5)
Merging Exponents and Roots
310(6)
Scientific Notation
316(9)
Summary
321(1)
Review Problem Set
322(2)
Test
324(1)
Quadratic Equations and Inequalities
325(54)
Complex Numbers
326(7)
Quadratic Equations
333(9)
Completing the Square
342(5)
Quadratic Formula
347(9)
More Quadratic Equations and Applications
356(10)
Quadratic and Other Nonlinear Inequalities
366(13)
Summary
373(1)
Review Problem Set
374(2)
Test
376(1)
Cumulative Review Problem Set (Chapters 1--7)
377(2)
Functions
379(71)
Concept of a Function
380(9)
Linear Functions and Applications
389(9)
Quadratic Functions
398(9)
More Quadratic Functions and Applications
407(11)
Transformations of Some Basic Curves
418(10)
Combining Functions
428(8)
Direct and Inverse Variation
436(14)
Summary
444(2)
Review Problem Set
446(2)
Test
448(2)
Polynomial and Rational Functions
450(59)
Synthetic Division
451(5)
Remainder and Factor Theorems
456(5)
Polynomial Equations
461(11)
Graphing Polynomial Functions
472(12)
Graphing Rational Functions
484(11)
More on Graphing Rational Functions
495(14)
Summary
504(1)
Review Problem Set
505(2)
Test
507(2)
Exponential and Logarithmic Functions
509(66)
Exponents and Exponential Functions
510(7)
Applications of Exponential Functions
517(12)
Inverse Functions
529(11)
Logarithms
540(9)
Logarithmic Functions
549(7)
Exponential Equations, Logarithmic Equations, and Problem Solving
556(19)
Summary
566(2)
Review Problem Set
568(2)
Test
570(2)
Cumulative Review Problem Set (Chapter 1--10)
572(3)
Systems of Equations
575(59)
Systems of Two Linear Equations in Two Variables
576(11)
Systems of Three Linear Equations in Three Variables
587(7)
Matrix Approach to Solving Linear Systems
594(10)
Determinants
604(10)
Cramer's Rule
614(7)
Partial Fractions
621(13)
Summary
627(3)
Review Problem Set
630(2)
Test
632(2)
Algebra of Matrices
634(38)
Algebra of 2 x 2 Matrices
635(6)
Multiplicative Inverses
641(7)
m x n Matrices
648(9)
Systems of Linear Inequalities: Linear Programming
657(15)
Summary
667(1)
Review Problem Set
668(2)
Test
670(2)
Conic Sections
672(49)
Circles
673(7)
Parabolas
680(9)
Ellipses
689(10)
Hyperbolas
699(9)
Systems Involving Nonlinear Equations
708(13)
Summary
716(1)
Review Problem Set
717(2)
Test
719(2)
Sequences and Mathematical Induction
721(34)
Arithmetic Sequences
722(8)
Geometric Sequences
730(8)
Another Look at Problem Solving
738(5)
Mathematical Induction
743(12)
Summary
750(1)
Review Problem Set
751(2)
Test
753(2)
Counting Techniques, Probability, and the Binomial Theorem
755(52)
Fundamental Principle of Counting
756(6)
Permutations and Combinations
762(8)
Probability
770(6)
Some Properties of Probability: Expected Values
776(11)
Conditional Probability: Dependent and Independent Events
787(9)
Binomial Theorem
796(11)
Summary
801(2)
Review Problem Set
803(2)
Test
805(2)
Appendixes807(15)
A Common Logarithms
808(12)
B Natural Logarithms
820(2)
Answers to Odd-Numbered Problems and All Chapter Review, Chapter Test, and Cumulative Review Problems822(47)
Index869

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