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9780534400507

Intermediate Algebra (with CD-ROM, BCA/iLrn Tutorial, and InfoTrac)

by ;
  • ISBN13:

    9780534400507

  • ISBN10:

    0534400507

  • Edition: 7th
  • Format: Hardcover
  • Copyright: 2003-07-08
  • Publisher: Brooks Cole
  • View Upgraded Edition
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Summary

Kaufmann/Schwitters built its reputation on clear and concise exposition, numerous examples, and plentiful problem sets. This no-frills text consistently reinforces the following common thread: learn a skill; use the skill to help solve equations; and then use the equations to solve application problems. This simple, straightforward approach has helped many students grasp and apply fundamental problem solving skills necessary for future mathematics courses.

Table of Contents

Chapter 1: BASIC CONCEPTS AND PROPERTIES
Sets, Real Numbers, and Numerical Expressions
Operations with Real Numbers
Properties of Real Numbers and the Use of Exponents
Algebraic Expressions
Summary
Review Problem Set
Test
Chapter 2: EQUATIONS, INEQUALITIES, AND PROBLEM SOLVING
Solving First-Degree Equations
Equations Involving Fractional Forms
Equations Involving Decimals and Problem Solving
Formulas
Inequalities
More on Inequalities and Problem Solving
Equations and Inequalities Involving Absolute Value
Summary
Review Problem Set
Test
Chapter 3: POLYNOMIALS
Polynomials: Sums and Differences
Products and Quotients of Monomials
Multiplying Polynomials
Factoring: Use of the Distributive Property
Factoring: Difference of Two Squares and Sum or Difference of Two Cubes
Factoring Trinomials
Equations and Problem Solving
Summary
Review Problem Set
Test
Cumulative Review Problem Set (Chapters 1-3)
Chapter 4: RATIONAL EXPRESSIONS
Simplifying Rational Expressions
Multiplying and Dividing Rational Expressions
Adding and Subtracting Rational Expressions
More on Rational Expressions and Complex Fractions
Dividing Polynomials
Fractional Equations
More Fractional Equations and Applications
Summary
Review Problem Set
Test
Chapter 5: EXPONENTS AND RADICALS
Using Integers as Exponents
Roots and Radicals
Combining Radicals and Simplifying Radicals That Contain Variables
Products and Quotients Involving Radicals
Equations Involving Radicals
Merging Exponents and Roots
Scientific Notation
Summary
Review Problems Set
Test
Chapter 6: QUADRATIC EQUATIONS AND INEQUALITIES
Complex Numbers
Quadratic Equations
Completing the Square
Quadratic Formula
More Quadratic Equations and Applications
Quadratic and Other Nonlinear Inequalities
Summary
Review Problem Set
Test
Cumulative Review Problem Set (Chapters 1-6)
Chapter 7: LINEAR EQUATIONS AND INEQUALITIES IN TWO VARIABLES
Rectangular Coordinate System
Linear Equations in Two Variables
Linear Inequalities in Two Variables
Distance and Slope
Determining the Equation of a Line
Summary
Review Problem Set
Test
Chapter 8: CONIC SECTIONS
Graphing Parabolas
More Parabolas and Some Circles
Graphing Ellipses
Graphing Hyperbolas
Summary
Review Problem Set
Test
Chapter 9: FUNCTIONS
Relations and Functions
Functions: Their Graphs and Applications
Graphing Made Easy Via Transformations
Composition of Functions
Inverse Functions
Direct and Inverse Variations
Summary
Review Problem Set
Test
Chapter 10: SYSTEMS OF EQUATIONS
Systems of Two Linear Equations in Two Variables
Elimination-by-Addition Method
Systems of Three Linear Equations in Three Variables
Matrix Approach to Solving Systems
Determinants
3 x 3 Determinants and Systems of Three Linear Equations in Three Variables
Systems Involving Nonlinear Equations and Systems of Inequalities
Summary
Review Problem Set
Test
Cumulative Review Problem Set (Chapters 1-10)
Chapter 11: EXPONENTIAL AND LOGARITHMIC FUNCTIONS
Exponents and Exponential Functions
Applications of Exponential Functions
Logarithms
Logarithmic Functions
Exponential Equations, Logarithmic Equations, and Problem Solving
Summary
Review Problem Set
Test
Chapter 12: SEQUENCES AND SERIES
Arithmetic Sequences
Arithmetic Series
Geometric Sequences and Series
Infinite Geometric Series
Binomial Expansion
Summary
Review Problem Set
Test
Appendixes
Prime Numbers and Operations with Fractions
Answers to Odd-Numbered Problems and all Chapter Review, Chapter Test, and Cumulative Review Problems
Index

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