Intermediate Algebra

by Kaufmann,Jerome E.

• ISBN13: 9780495387985
• ISBN10: 0495387983
• Edition: 1st
• Format: Paperback
• Copyright: 2009-01-05
• Publisher: Cengage Learning

Summary

INTERMEDIATE 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. 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 problem-solving scenarios. 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 and Properties

Sets, Real Numbers, and Numerical Expressions

Operations with Real Numbers

Properties or Real Numbers and the Use of Exponents

Algebraic Expressions

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 Values

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

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

Polynomials

Polynomials: Sums and Differences

Products and Quotients of Monomials

Multiplying Polynomials

Factoring: Use of the Distributive Property

Factoring: Difference of two Squares and Sums or Difference in Two Cubes

Factoring Trinomials

Equations and Problem Solving

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 Rational Equations and Applications

Exponents and Radicals

Using Integers as Exponents

Roots and Radicals

Combining Radicals and Simplifying Radicals That Contain Variables

Products and Quotients Involving Radicals

Merging Exponents and Roots

Scientific Notation

Quadratic Equations and Inequalities

Complex Numbers

Quadratic Equations

Completing the Square

Quadratic Formula

More Quadratic Equations and Applications

Quadratic and Other Nonlinear Inequalities

Conic Sections

Graphing Nonlinear Equations

Graphing Parabolas

More Parabolas and Some Circles

Graphing Ellipses

Graphing Hyperbolas

Systems Involving Nonlinear Equations

Functions

Relations and Functions

Functions: Their Graphs and Applications

Graphing Made Easy Via Transformations

Composition of Functions

Inverse Functions

Direct and Inverse Variations

Exponential and Logarithmic Functions

Exponents and Exponential Functions

Applications of Exponential Functions

Logarithms

Logarithmic Functions

Exponential Equations, Logarithmic Equations, and Problem Solving

Prime Numbers and Operations with Fractions

Matrix Approach to Problem Solving

Determinants

3 X 3 Determinants and Systems of Three LINEAR EQUATIONS IN Three VARIABLES

Systems Involving Nonlinear Equations and Systems of Inequalities

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