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Beginning Algebra,9780130737847

Beginning Algebra

by Martin-Gay, K. Elayn
Edition:
ANNOTATED
ISBN13:

9780130737847

ISBN10:
0130737844
Format:
Hardcover
Pub. Date:
1/1/1993
Publisher(s):
Prentice Hall
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Summary

This book offers a sound mathematics presentation, useful pedagogy, and a superb problem-solving framework. The Second Edition features a greater incorporation of AMATYC and NCTM standards, reflected in an increased emphasis on visualization and graphing, carefully revised problems and exercises, and more data analysis. A six-step problem-solving approach is woven consistently throughout -- 1) Understand; 2) Assign; 3) Illustrate; 4) Translate into a model (or equation); 5) Complete; 6) Interpret a variety of realistic problems. Increased emphasis on data interpretation, with real data integrated throughout, beginning with an introduction to bar graphs in Section 1.1. With the emphasis on interpreting data via graphs, readers reinforce what they've learned visually and see math's tangibility. Graphing is introduced earlier and developed in-depth in more than one chapter in line with AMATYC and NCTM standards. An early introduction to graphing helps readers see the math in Chapter 3. An emphasis on visualization through graphing is carried throughout; by Chapter 7, readers are ready to master functions and equations of lines.

Table of Contents

Review of Real Numbers
Symbols and Sets of Numbers
Fractions
Exponents and Order of Operations
Introduction to Variable Expressions and Equations
Adding Real Numbers
Subtracting Real Numbers
Multiplying and Dividing Real Numbers
Properties of Real Numbers
Reading Graphs
Equation, Inequalities, and Problem Solving
Simplifying Algebraic Expressions
The Addition Property of Equality
The Multiplication Property of Equality
Solving Linear Equations
An Introduction to Problem Solving
Formulas and Problem Solving
Percent and Problem Solving
Further Problem Solving
Solving Linear Inequalities
Graphing
The Rectangular Coordinate System
Graphing Linear Equations
Intercepts
Slope
Graphing Linear Inequalities
Exponents and Polynomials
Exponents
Adding and Subtracting Polynomials
Multiplying Polynomials
Special Products
Negative Exponents and Scientific Notation
Division of Polynomials
Factoring Polynomials
The Greatest Common Factor and Factoring by Grouping
Factoring Trinomials of the Form x2 + bx + c
Factoring Trinomials of the Form ax2 + bx + c
Factoring Binomials
Choosing a Factoring Strategy
Solving Quadratic Equations by Factoring
Quadratic Equations and Problem Solving
Rational Expressions
Simplifying Rational Expressions
Multiplying and Dividing Rational Expressions
Adding and Subtracting Rational Expressions with Common Denominators and Least Common Denominators
Adding and Subtracting Rational Expressions with Unlike Denominators
Simplifying Complex Fractions
Solving Equations Containing Rational Expressions
Ratio and Proportion
Rational Equations and Problem Solving
Further Graphing
The Slope-Intercept Form
The Point-Slope Form
Graphing Nonlinear Equations
An Introduction to Functions
Solving Systems of Linear Equations
Solving Systems of Linear Equations by Graphing
Solving Systems of Linear Equations by Substitution
Solving Systems of Linear Equations by Addition
Systems of Linear Equations and Problem Solving
Systems of Linear Inequalities
Roots and Radicals
Introduction to Radicals
Simplifying Radicals
Adding and Subtracting Radical Expressions
Multiplying and Dividing Radical Expressions
Solving Equations Containing Radicals
Radical Equations and Problem Solving
Rational Exponents
Solving Quadratic Equations
Solving Quadratic Equations by the Square Root Method
Solving Quadratic Equations by Completing the Square
Solving Quadratic Equations by the Quadratic Formula
Summary of Methods for Solving Quadratic Equations
Complex Solutions to Quadratic Equations
Graphing Quadratic Equations
Appendices
Operations on Decimals
Review of Angles, Lines, and Special Triangles
Review of Geometric Figures
Mean, Median, and Mode
Table of Squares and Square Roots
Answers to Selected Exercises
Index
Photo Credits
Table of Contents provided by Publisher. All Rights Reserved.


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