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Introductory Algebra : An Integrated Approach

Introductory Algebra : An Integrated Approach - 99 edition

ISBN13: 978-0395888308

Cover of Introductory Algebra : An Integrated Approach 99 (ISBN 978-0395888308)
ISBN13: 978-0395888308
ISBN10: 0395888301
Edition: 99
Copyright: 1999
Publisher: Houghton Mifflin Harcourt
Published: 1999
International: No

Introductory Algebra : An Integrated Approach - 99 edition

ISBN13: 978-0395888308

Richard N. Aufmann and Joanne S. Lockwood

ISBN13: 978-0395888308
ISBN10: 0395888301
Edition: 99
Copyright: 1999
Publisher: Houghton Mifflin Harcourt
Published: 1999
International: No

The second-level text in an innovative new workbook series, Introductory Algebra: An Integrated Approach is ideal for the first-year developmental arithmetic and pre-algebra instructor who seeks a flexible teaching tool that accommodates individual teaching and learning styles. Aufmann and Lockwood present math as a cohesive subject by weaving the themes of number sense, logic, geometry, statistics, and probability throughout the text at increasingly sophisticated levels. These themes are brought to life for students with applications from more than 100 disciplines. The text's interactive style encourages students to be active learners, quantitative thinkers, and true problem solvers.

  • A variety of analytic tools throughout include examples relevant to students' experiences; strategically placed questions that encourage students to be active learners; and an abundance of problems with complete solutions provided in an appendix.
  • Margin notes to guide students through the material include "Points of Interest," offering supplemental information; "Take Note," alerting students to challenging procedures; "Calculator Notes," demonstrating the functions of a calculator; and "Instructor Notes" (found only in the Instructor's Annotated Edition), offering teaching suggestions or related material.
  • A wide range of exercises includes "End-of Section" exercises providing practice in both concept and practice; "Critical Thinking" exercises requiring students to explore a concept in detail; "Writing Exercises," denoted by an icon; "Chapter Review" and "Cumulative Review" exercises, with all answers provided at the back of the book.
  • "Chapter Summaries" ensure that students have mastered material before being introduced to new concepts.

Table of Contents

1. Analyzing Real Number Data

Section 1.1 Introduction to Problem Solving
Section 1.2 Introduction to Logic and Sets
Section 1.3 Creating Tables and Graphs
Section 1.4 Evaluating Numerical and Variable Expressions
Section 1.5 Translating Phrases into Variable Expressions
Section 1.6 Statistical Measures
Section 1.7 Introduction to Probability

2. Real Numbers and the Rectangular Coordinate System

Section 2.1 Addition and Subtraction of Integers
Section 2.2 Multiplication and Division of Integers
Section 2.3 Introduction to Rectangular Coordinates
Section 2.4 Operations with Rational Numbers
Section 2.5 Coordinate Geometry
Section 2.6 Reading and Drawing Graphs

3. First-Degree Equations and Inequalities

Section 3.1 Simplifying Variable Expressions
Section 3.2 Introduction to Equations
Section 3.3 General Equations
Section 3.4 Applications to Geometry
Section 3.5 Uniform Motion Problems
Section 3.6 Percent Mixture Problems
Section 3.7 Inequalities

4. Linear Equations in Two Variables and Systems of Linear Equations

Section 4.1 Introduction to Functions
Section 4.2 Equations of the Form Ax + By = C
Section 4.3 Slopes of Straight Lines
Section 4.4 Equations of Straight Lines
Section 4.5 Solving Systems of Equations by Graphing or Substitution
Section 4.6 Solving Systems of Equations by the Addition Method

5. Polynomials

Section 5.1 Operations on Monomials and Scientific Notation
Section 5.2 Operations on Polynomials
Section 5.3 Factoring Polynomials

6. Radical Expressions

Section 6.1 Introduction to Radical Expressions
Section 6.2 Operations on Radical Expressions
Section 6.3 Radical Equations
Section 6.4 The Pythagorean Theorem
Section 6.5 Introduction to Trigonometry

7. Quadratic Equations and Functions

Section 7.1 Introduction to Quadratic Equations
Section 7.2 Solving Quadratic Equations by Completing the Square
Section 7.3 Solving Quadratic Equations Using the Quadratic Formula
Section 7.4 Properties of Quadratic Functions

8. Rational Expressions

Section 8.1 Multiplication and Division of Rational Expressions
Section 8.2 Addition and Subtraction of Rational Expressions
Section 8.3 Complex Fractions
Section 8.4 Applications of Equations Containing Fractions
Section 8.5 Literal Equations
Section 8.6 Proportions and Similar Triangles
Section 8.7 Probability of Compound Events

Guidelines for Using Graphing Calculators.
Solutions to You-Try-Its.
Answers to Odd-Numbered Questions.

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