Elementary Algebra

by ;
Edition: 9th
Format: Hardcover
Pub. Date: 2010-01-01
Publisher(s): 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

Some Basic Concepts of Arithmetic and Algebra
Numerical and Algebraic Expressions
Prime and Composite Numbers
Integers: Addition and Subtraction
Integers: Multiplication and Division
Use of Properties
Summary
Review Problem Set
Test
Real Numbers
Rational Numbers: Multiplication and Division
Addition and Subtraction of Rational Numbers
Real Numbers and Algebraic Expressions
Exponents
Translating from English to Algebra
Summary
Review Problem Set
Test
Cumulative Review Problem Set (Chapters 1-2)
Equations, Inequalities, and Problem Solving
Solving First-Degree Equations
Equations and Problem Solving
More on Solving Equations and Problem Solving
Equations Involving Parentheses and Fractional Forms
Inequalities
Inequalities, Compound Inequalities, and Problem Solving
Summary
Review Problem Set
Test
Formulas and Problem Solving
Ratio, Proportion, and Percent
More on Percents and Problem Solving
Formulas
Problem Solving
More on Problem Solving
Summary
Review Problem Set
Test
Cumulative Review Chapters 1-4
Exponents and Polynomials
Addition and Subtraction of Polynomials
Multiplying Monomials
Multiplying Polynomials
Dividing by Monomials
Dividing by Binomials
Integral Exponents and Scientific Notation
Summary
Review Problem Set
Test
Cumulative Review Chapters 1-5
Factoring, Solving Equations, and Problem Solving
Factoring by Using the Distributive Property
Factoring the Difference of Two Squares
Factoring Trinomials of the Form x?+ bx + c
Factoring Trinomials of the Form ax? + bx + c
Factoring, Solving Equations, and Problem Solving
Summary
Review Problem Set
Test
Algebraic Fractions
Simplifying Algebraic Fractions
Multiplying and Dividing Algebraic Fractions
Adding and Subtracting Algebraic Fractions
Addition and Subtraction of Algebraic Fractions and Complex Fractions
Fractional Equations and Problem Solving
More Fractional Equations and Problem Solving
Summary
Review Problem Set
Test
Cumulative Review Chapters 1-7
Coorinate Geometry and Linear Systems
Cartesian Coordinate System
Graphing Linear Equations and Inequalities
Slope of a Line
Writing Equations of Lines
Systems of Two Linear Equations
Elimination-by-Addition Method
Summary
Review Problem Set
Test
Roots and Radicals
Roots and Radicals
Simplifying Radicals
More on Simplifying Radicals
Products and Quotients Involving Radicals
Solving Radical Equations
Summary
Review Problem Set
Test
Cumulative Review Chapters 1-9
Quadratic Equations
Quadratic Equations
Completing the Square
Quadratic Formula
Solving Quadratic Equations - Which Method?
Solving Problems Using Quadratic Equations
Summary
Review Problem Set
Test
Additional Topics
Equations and Inequalities Involving Absolute Zero
3 x 3 Systems of Equations
Fractional Exponents
Complex Numbers
Quadratic Equations: Complex Solutions
Pie, Bar, and Line Graphs
Relations and Functions
Applications of Functions
Summary
Review Problem Set
Test
Table of Squares and Approximate Square Roots
Extra Word Problems
Answers to Odd-Numbered Problems and All Chapter Review, Chapter Test, Cumulative Review, and Appendix B Problems
Answers to Selected Even-Numbered Problems
Index
Table of Contents provided by Publisher. All Rights Reserved.

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