9781439049006

Intermediate Algebra

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  • ISBN13:

    9781439049006

  • ISBN10:

    1439049009

  • Edition: 9th
  • Format: Hardcover
  • Copyright: 1/1/2010
  • Publisher: Brooks Cole
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Summary

Kaufmann and Schwitters have built this text's reputation on clear and concise exposition, numerous examples, and plentiful problem sets. This traditional text consistently reinforces the following common thread: learn a skill; practice the skill to help solve equations; and then apply what you have learned to solve application problems. This simple, straightforward approach has helped many students grasp and apply fundamental problem solving skills necessary for future mathematics courses. Algebraic ideas are developed in a logical sequence, and in an easy-to-read manner, without excessive vocabulary and formalism. The open and uncluttered design helps keep students focused on the concepts while minimizing distractions. Problems and examples reference a broad range of topics, as well as career areas such as electronics, mechanics, and health, showing students that mathematics is part of everyday life.

Table of Contents

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
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 Cumulative Review Problem Set (Chapters 1-2)
Polynomials
Polynomials: Sums and Differences
Products and Quotients of Monomials
Multiplying Polynomials
Factoring: Greatest Common Factor and Common Binomial Factor
Factoring: Difference of Two Squares and Sum or Difference of Two Cubes
Factoring Trinomials
Equations and Problem Solving
Summary
Review Problem Set
Test
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 Cumulative Review Problem Set (Chapters 1-4)
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
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)
Linear Equations and Inequalities in Two Variables
Rectangular Coordinate System and Linear Equations
Linear Inequalities in Two Variables
Distance and Slope
Determining the Equation of a Line
Graphing Nonlinear Equations
Summary
Review Problem Set
Test
Conic Sections
Graphing Parabolas
More Parabolas and Some Circles
Graphing Ellipses
Graphing Hyperbolas
Summary
Review Problem Set
Test Cumulative Review Problem Set (Chapters 1-8)
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
Systems of Equations
Systems of Two Linear Equations and Linear Inequalities in Two Variables
Substitution Method
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)
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
Prime Numbers and Operations with Fractions
Binomial Expansions
Answers to Odd-Numbered Problems and All Chapter Review, Chapter Test, Cumulative
Review, Appendix a and Appendix B Problems
Answers to Selected Even-Numbered Problems
Index
Table of Contents provided by Publisher. All Rights Reserved.

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