The Learning Equation: Intermediate Algebra, Version 3.5

by Thompson Learning

• ISBN13: 9780534420345
• ISBN10: 0534420346
• Additional ISBN(s): 9780495063483
• Edition: 4th
• Format: eBook
• Copyright: 2003-12-26
• Publisher: Cengage Learning
• More Book Details
• Purchase Benefits

Summary

TLE is designed for learner-focused, computer classroom, lab-based, and distance learning courses. Adopting institutions receive and have license to install all TLE courses on their campus computers, even if they only adopt and have students purchase TLE for one section of one course. The pedagogical model employs a "Guided Inquiry" approach whereby students construct their own understanding of concepts. Instead of passively being fed information, students are actively involved in tasks requiring them to discover or apply mathematical concepts. Brooks/Cole Assessment, the browser-based course management system that supports TLE, allows for the easy creation of algorithmically generated, machine-graded, free-response mathematics practice, quizzes, and tests, giving instructors the power to assess student understanding of skills in a more meaningful way. Because the testing and course management system is browser-based, it can be used on a stand-alone or networked computer, or any computer with Internet access, providing instructors the ability to access course management information such as student progress, time-on-task, and grades, anytime, anywhere. Additionally, students working off campus can access TLE assignments using the Internet anytime. Adopting institutions may use Cengage Learning servers for course management at no additional cost.

Table of Contents

REAL NUMBERS

Data in Tables 1. Data in Tables 2

The Real Number System

Solving Problems

Operations with Real Numbers

RADICALS

Rational Exponents

Simplifying Radical Expressions

Multiplying and Dividing Radical Expressions

LINEAR EQUATIONS

Simplifying Algebraic Expressions

Solving Linear Equations and Formulas

Applications of Equations

The Rectangular Coordinate System

POLYNOMIALS AND FACTORING

Multiplying Polynomials

The Greatest Common Factor and Factoring by Grouping

Factoring Trinomials and Difference of Squares

Sum and Difference of Two Cubes

Dividing Polynomials by Binomials

RATIONAL EXPRESSIONS

Rational Expressions: Finding Equivalent Forms

Non-permissible Values

Multiplying and Dividing Rational Expressions

Adding and Subtracting Rational Expressions

Solving Rational Equations

RELATIONS AND FUNCTIONS

Differences Between Relations and Functions

Describing Functions

Function Notation

Domain and Range of Relations

LINEAR FUNCTIONS

Linear Functions

Direct and Partial Variations

Rate of Change and Slope of a Line

Writing Equations of Lines

LINEAR SYSTEMS

Solving Linear Systems by Graphing

Solving Linear Systems by Elimination

Solving Three Equations in Three Variables

Solving Linear Systems by Matrices

Solving Linear Systems by Determinants

Solving Systems of Linear Inequalities

Linear Programming

FUNCTIONS

Functions and Operations

Inverse Functions

Graphs of Quadratic Functions

Completing the Square

Translations of Quadratic Functions

QUADRATICS EQUATIONS

Solving Quadratics by Graphing

Solving Quadratics by Factoring

Complex Numbers

The Quadratic Formula

Using Discriminants

Graphing Polynomial Functions

Graphing Rational Functions

SOLVING EQUATIONS

Absolute Value Equations

Radical Equations

Rational Equations

Rational Inequalities 1. Rational Inequalities 2

Complex Fractions

EXPONENTIAL AND LOGARITHMIC FUNCTIONS

Exponential Equations

Graphing Exponential Functions

Exponential Functions

Properties of Logarithms

Logarithmic Equations

Graphing Logarithmic Functions

Applications of Logarithms

Base-e Exponential Functions

Base-e Logarithms