9781439046951

Algebra Introductory and Intermediate: An Applied Approach

by ;
  • ISBN13:

    9781439046951

  • ISBN10:

    1439046956

  • Edition: 5th
  • Format: Paperback
  • Copyright: 2/16/2010
  • Publisher: Brooks Cole
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Summary

As in previous editions, the focus in ALGEBRA: INTRODUCTORY & INTERMEDIATE remains on the Aufmann Interactive Method (AIM). Users are encouraged to be active participants in the classroom and in their own studies as they work through the How To examples and the paired Examples and You Try It problems. The role of "active participant" is crucial to success. Presenting students with worked examples, and then providing them with the opportunity to immediately work similar problems, helps them build their confidence and eventually master the concepts.

Table of Contents

Real Numbers and Variable Expressions
Prep Test
Integers
Rational and Irrational Numbers
The Order of Operations Agreement
Variable Expressions
Sets
Focus on Problem Solving
Projects & Group Activities
Summary
Concept Review
Review Exercises
Test
First-Degree Equations and Inequalities
Prep Test
Introduction to Equations
General Equations
Translating Sentences into Equations
Mixture and Uniform Motion Problems
First-Degree Inequalities
Absolute Value Equations and Inequalities
Focus on Problem Solving
Projects & Group Activities
Summary
Concept Review
Review Exercises
Test
Cumulative Review Exercises
Geometry
Prep Test
Introduction to Geometry
Plane Geometric Figures
Solids
Focus on Problem Solving
Projects & Group Activities
Summary
Concept Review
Review Exercises
Test
Cumulative Review Exercises
Linear Functions And Inequalities In Two Variables
Prep Test
The Rectangular Coordinate System
Introduction to Functions
Linear Functions
Slope of a Straight Line
Finding Equations of Lines
Parallel and Perpendicular Lines
Inequalities in Two Variables
Focus on Problem Solving
Projects & Group Activities
Summary
Concept Review
Review Exercises
Test
Cumulative Review Exercises
Systems Of Linear Equations and Inequalities
Prep Test
Solving Systems of Linear Equations by Graphing and by the Substitution Method
Solving Systems of Linear Equations by the Addition Method
Application Problems
Solving Systems of Linear Inequalities
Solving Systems of Equations by Using Determinants
Focus on Problem Solving
Projects & Group Activities
Summary
Concept Review
Review Exercises
Test
Cumulative Review Exercises
Polynomials
Prep Test
Exponential Expressions
Introduction to Polynomial Functions
Multiplication of Polynomials
Division of Polynomials
Focus on Problem Solving
Projects & Group Activities
Summary
Concept Review
Review Exercises
Test
Cumulative Review Exercises
Factoring
Prep Test
Common Factors
Factoring Polynomials of the Form x2 + bx + c
Factoring Polynomials of the Form ax2 + bx + c
Special Factoring
Solving Equations
Focus on Problem Solving
Projects & Group Activities
Summary
Concept Review
Review Exercises
Test
Cumulative Review Exercises
Rational Expressions
Prep Test
Multiplication and Division of Rational Expressions
Addition and Subtraction of Rational Expressions
Complex Fractions
Solving Equations Containing Fractions
Ratio and Proportion
Literal Equations
Application Problems
Variation
Focus on Problem Solving
Projects & Group Activities
Summary
Concept Review
Review Exercises
Test
Cumulative Review Exercises
Exponents and Radicals
Prep Test
Rational Exponents and Radical Expressions
Operations on Radical Expressions
Solving Equations Containing Radical Expressions
Complex Numbers
Focus on Problem Solving
Projects & Group Activities
Summary
Concept Review
Review Exercises
Test
Cumulative Review Exercises
Quadratic Equations
Prep Test
Solving Quadratic Equations by Factoring or by Taking Square Roots
Solving Quadratic Equations by Completing the Square
Solving Quadratic Equations by Using the Quadratic Formula
Solving Equations That Are Reducible to Quadratic Equations
Quadratic Inequalities and Rational Inequalities
Applications of Quadratic Equations
Focus on Problem Solving
Projects & Group Activities
Summary
Concept Review
Review Exercises
Test
Cumulative Review Exercises
Functions and Relations
Prep Test
Properties of Quadratic Functions
Graphs of Functions
Algebra of Functions
One-to-One and Inverse Functions
Conic Sections
Focus on Problem Solving
Projects & Group Activities
Summary
Concept Review
Review Exercises
Test
Cumulative Review Exercises
Exponential and Logarithmic Functions
Prep Test
Exponential Functions
Introduction to Logarithms
Graphs of Logarithmic Functions
Solving Exponential and Logarithmic Equations
Applications of Exponential and Logarithmic Functions
Focus on Problem Solving
Projects & Group Activities
Summary
Concept Review
Review Exercises
Test
Cumulative Review Exercises
R. Review of Introductory Algebra Topics
Variable Expressions
Equations and Inequalities
Linear Equations in Two Variables
Polynomials
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