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Integrated Arithmetic and Basic Algebra,9780321132260
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Integrated Arithmetic and Basic Algebra

by ;
Edition:
3rd
ISBN13:

9780321132260

ISBN10:
0321132262
Format:
Paperback
Pub. Date:
1/1/2005
Publisher(s):
Addison Wesley
List Price: $142.67
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Summary

A combination of a basic mathematics or prealgebra text and an introductory algebra text, Integrated Arithmetic and Basic Algebra, Third Edition, provides a uniquely integrated presentation of the material for these courses in a way that is extremely beneficial to students. As opposed to traditional texts that present arithmetic at the beginning and algebra at the end, this text integrates the two whenever possible, so that students see how concepts are interrelated rather than learning them in isolation and missing the "big picture." The ideas and algorithms shared by arithmetic and algebra are introduced in an arithmetic context and then developed through the corresponding algebraic concept. For example, operations with rational numbers and rational expressions are discussed together, whereas most texts discuss operations with rational numbers early on and operations with rational expressions much later. The Jordan/Palow text helps students recognize algebra as a natural extension of arithmetic using variables. This approach aligns directly with NCTM and AMATYC standards, which suggest playing upon students' previous knowledge to teach new concepts.

Table of Contents

Basic Ideas
Reading and Writing Numerals
Addition and Subtraction of Whole Numbers
Multiplication of Whole Numbers
Division of Whole Numbers
A Brief Introduction to Fractions
Addition and Subtraction of Decimal Numerals
Multiplication and Division of Decimal Numerals
Addition and Subtraction of Integers and Polynomials
Variables, Exponents and Order of Operations
Unit Conversions and Perimeters of Geometric Figures
Areas of Geometric Figures
Volumes and Surface Area of Geometric Figures
Introduction to Integers
Addition of Integers
Subtraction of Integers and Combining Like Terms
Polynomial Definitions and Combining Polynomials
Laws of Exponents, Products and Quotients of Polynomials
Multiplication of Integers
Multiplication Laws of Exponents
Products of Polynomials
Special Products
Division of and Order of Operations with Integers
Quotient Rule and Integer Exponents
Power Rule for Quotients and Using Combined Laws of Exponents
Division of Polynomials by Monomials
An Application of Exponents: Scientific Notation
Linear Equations and Inequalities
Addition Property of Equality
Multiplication Property of Equality
Combining Properties in Solving Linear Equations
Using and Solving Formulas
Solving Linear Inequalities
Traditional Applications Problems
More Traditional Applications Problems
Geometric Applications Problems
Using and Solving Formulas
Graphing Linear Equations and Inequalities
Ordered Pairs and Solutions of Linear Equations with Two Variables
Graphing Linear Equations with Two Variables
Graphing Linear Equations using Intercepts
Slope - Intercept Form of a Line
Point - Slope Form of a Line
Graphing Linear Inequalities with Two Variables
Relations and Functions
Systems of Linear Equations
Defining Linear Systems and Solving by Graphing
Solving Linear Systems of Equations Using Elimination by Addition
Solving Systems of Linear Equations Using Substitution
Applications Using Systems of Linear Equations
Systems of Linear Inequalities
Factors, Divisors, and Factoring
Introduction
Prime Factorization and Greatest Common Factor
Factoring Polynomials with Common Factors and by Grouping
Factoring General Trinomials with Leading Coefficient of One
Factoring General Trinomials with First Coefficient Other Than One
Factoring Binomials
Factoring Perfect Square Trinomials
Mixed Factoring
Solving Quadratic Equations by Factoring
Multiplication and Division of Rational Numbers and Expressions
Fractions and Rational Numbers
Reducing Rational Numbers and Rational Expressions
Further Reduction of Rational Expressions
Multiplication of Rational Numbers and Expressions
Further Multiplication of Rational Expressions
Division of Rational Numbers and Expressions
Division of Polynomials (Long Division)
Addition and Subtraction of Rational Numbers and Expressions
Addition and Subtraction of Rational Numbers and Expressions with Like Denominators
Least Common Multiple and Equivalent Rational Expressions
The Least Common Denominator of Fractions and Rational Expressions
Addition and Subtraction of Rational Numbers and Expressions with Unlike Denominators
Complex Fractions
Solving Equations Containing Rational Numbers and Expressions
Rates, Percents, and Applications Ratios and Rates
Proportions Percent Applications of Percent
Further Applications of Percent
Roots and Radicals
Defining and Finding Roots
Simplifying Radicals
Products and Quotients of Radicals
Addition, Subtraction, and Mixed Operations with Radicals
Rationalizing the Denominator
Solving Equations with Radicals
Pythagorean Theorem
Table of Contents provided by Publisher. All Rights Reserved.


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