Beginning Algebra

by Kaufmann,Jerome E.

• ISBN13: 9780495388210
• ISBN10: 0495388211
• Edition: 1st
• Format: Paperback
• Copyright: 2008-12-10
• Publisher: Cengage Learning

Summary

BEGINNING ALGEBRA employs a proven, three-step problem-solving approachùlearn a skill, use the skill to solve equations, and then use the equations to solve application problemsùto keep students focused on building skills and reinforcing them through practice. This simple and straightforward approach, in an easy-to-read format, has helped many students grasp and apply fundamental problem-solving skills. The carefully structured pedagogy includes learning objectives, detailed examples to develop concepts, practice exercises, an extensive selection of problem-set exercises, and well-organized end-of-chapter reviews and assessments. Additionally, the clean and uncluttered design helps keep students focused on the concepts while minimizing distractions. Problems and examples reference a broad array of topics, as well as career areas such as electronics, mechanics, and health, showing students that mathematics is part of everyday life. Also, as recommended by the American Mathematical Association of Two-Year Colleges, many basic geometric concepts are integrated in the book's problem-solving sets. The text's resource packageùanchored by Enhanced WebAssign, an online homework management toolùsaves instructors time while also providing additional help and skill-building practice for students outside of class.

Table of Contents

Basic Concepts of Arithmetic and Algebra

Numerical and Algebraic Expressions

Addition, Subtraction, Multiplication and Division of Integers

Use of Properties

Prime and Composite Numbers

Rational Numbers

Decimals and Real Numbers

Equations, Inequalities, and Problem Solving

Solving First-Degree Equations

Translating from English to Algebra

Equations and Problem Solving

More on Solving Equations and Problem Solving

Equations Involving Parentheses and Fractional Forms

Inequalities

Inequalities, Compound Inequalities, and Problem Solving

Ratio, Percent, Formulas, and Problem Solving

Ratio, Proportion, and Percent

More on Percents and Problem Solving

Formulas: Geometric and Others

Problem Solving

More about Problem Solving

Exponents and Polynomials

Addition and Subtraction of Polynomials

Multiplying Monomials

Multiplying Polynomials

Dividing by Monomials

Dividing by Binomials

Zero and Negative Integers as Exponents

Factoring, Solving Eequations, and Problem Solving

Factoring by Using the Distributive Property

Factoring the Difference of Two Squares

Factoring Trinomials of the Form x2 + bx + c

Factoring Trinomials of the Form ax2 + bx + c

Factoring, Solving Equations, and Problem Solving

Rational Expressions and Rational Equations

Simplifying Rational Expressions

Multiplying and Dividing Rational Expressions

Adding and Subtracting Rational Expressions

More on Addition and Subtraction of Rational Expressions

Rational Equations and Problem Solving

More Rational Equations and Problem Solving

Coordinte Geometry

Cartesian Coordinate System

Graphing Linear Equations and Applications

Graphing Linear Inequalities

Slope of a Line

Writing Equations of Lines

Systems of Equations

Solving Linear Systems by Graphing

Elimination-by-Addition Method

Substitution Method

3+3 Systems of Equations

Roots and Radicals

Roots and Radicals

Simplifying Radicals

Simplifying Radicals of Quotients

Products and Quotients Involving Radicals

Solving Radical Equations

Quadratic Equations

Quadratic Equations

Completing the Square

Quadratic Formula

Solving Quadratic Equations+Which Method? Solving Problems Using the Quadratic Equation

Answers to ODD NUMBERED PROBLEMS AND ALL Chapter REVIEW, Chapter TEST, AND CUMULATIVE REVIEW PROBLEMS

Answers to SELECT EVEN NUMBERED PROBLEMS

Practice Your Skills

Index

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