Intermediate Algebra Everyday Explorations

by Kaseberg, Alice

• ISBN13: 9780618918805
• ISBN10: 0618918809
• Edition: 4th
• Format: Hardcover
• Copyright: 2007-02-21
• Publisher: Brooks Cole

Summary

Alice Kaseberg's respected Intermediate Algebra: Everyday Explorations, Fourth Edition, helps students build confidence in algebra. This text's popularity is attributable to the author's use of guided discovery, explorations, and problem solving, all of which help students learn new concepts and strengthen their skill retention. Known for an informal, interactive style that makes algebra more accessible to students while maintaining a high level of mathematical accuracy, Intermediate Algebra includes a host of teaching and learning tools that work together for maximum flexibility and a high student success rate. With the Fourth Edition, instructors have access to an Instructor's Annotated Edition that provides additional examples, as well as a robust Instructor's Resource Manual, algorithmic computerized testing, and an extensive online homework system.

Table of Contents

Problem Solving, Expressions, and Equations

Mathematical Thinking: Problem Solving

Number Sense

Numeric and Symbolic Representations

Problem Solving and Verbal Representations

Visual Representations: Rectangular Coordinate Graphs

Solving Equations with a Table and Graph

Solving Equations and Formulas

Inequalities, Functions, and Linear Functions

Inequalities, Line Graphs, and Intervals

Functions

Linear Functions

Modeling with a Linear Function

Special Lines

Special Functions

Systems of Equations and Inequalities

Solving Systems of Two Linear Equations by Substitution or Elimination

Solving Systems of Two Linear Equations by Graphing

Solving Equations Involving Quantity and Rate

Solving Systems of Three or More Linear Equations

Solving Linear and Absolute Value Inequalities

Quadratic and Polynomial Functions

Quadratic Functions

Modeling Quadratic Functions

Polynomial Functions and Operations

Special Products and Completing the Square

Solving Quadratic Equations with Tables, Graphs, and Factors

The Role of a, b, c, and Binomial Squares in Graphing Quadratic Functions

Square Roots

Quadratic Equations and Inequalities

The Square Root Function and the Pythagorean Theorem

Solving Quadratic Equations with Square Roots

Solving Quadratic Equations with the Quadratic Formula

Solving Minimum and Maximum Problems

Complex Numbers and Solving Polynomial Equations

Shifts, Vertex Form, and Applications of Quadratic Functions

Solving Quadratic Inequalities

Variation and Rational Functions

Ratios, Units of Measure, and Proportions

Direct Variation

Inverse Variation and Related Graphs

Simplification, Multiplication, and Division of Rational Expressions

Division of Polynomials and Related Graphs

Addition and Subtraction of Rational Expressions

Solving Rational Equations

Exponents and Radicals

Exponents and Their Properties

Scientific Notation and Significant Digits

Rational Exponents

Roots and Rational Exponents

More Operations with Radicals

Finding Inverse Functions

Solving Root and Power Equations

Exponential and Logarithmic Functions

Exponential Functions

Exponential Equations and Graphs

Solving Exponential Equations: Logarithms

Applications of Exponential and Logarithmic Functions

Properties of Logarithms and the Logarithmic Scale

The Natural Number e in Exponential and Logarithmic Functions

Systems of Nonlinear Equations and Matrices

Conic Sections

Solving Systems of Nonlinear Equations

Solving Systems of Inequalities

Solving Systems of Linear Equations with Matrices

Counting and Probability (Available Online)

Counting Outcomes

Permutations and Combinations

Probability: Equally Likely Outcomes and Counting Principles

Probability: Odds, Intersecting Events, and Not Equally Likely Outcomes

Pascal's Triangle and Combinations Appendix

Selected Formulas Appendix

Percent Appendix

Graphing Calculator Basics for the TI83/84

Answers to Selected Odd-Numbered Exercises and Tests

Glossary/Index

Table of Contents provided by Publisher. All Rights Reserved.