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by Tom Carson and Ellyn Gillespie

Edition: 06Copyright: 2006

Publisher: Addison-Wesley Longman, Inc.

Published: 2006

International: No

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Tom Carson engages students in the learning process by meeting them where they are and leading them to where they need to be through the determination of their individual learning style, the development of study skills, and the integration of learning strategies that help each student succeed. Elementary Algebra with Early Systems of Equations is a book for the student. The authors' goal is to help build students' confidence, their understanding and appreciation of math, and their basic skills by presenting an extremely user-friendly text that models a framework in which students can succeed. Unfortunately, students who place into developmental math courses often struggle with math anxiety due to bad experiences in past math courses. Developmental math students often have never developed nor applied a study system in mathematics. To address these needs, the authors have framed three goals for Elementary Algebra: 1) reduce math anxiety, 2) teach for understanding, and 3) foster critical thinking and enthusiasm.

The authors' writing style is extremely student-friendly. They talk to students in their own language and walk them through the concepts, explaining not only how to do the math, but also why it works and where it comes from, rather than using the ''monkey-see, monkey-do'' approach that some books take.

Elementary Algebra with Early Systems of Equations, as the title implies, places the topic of Systems of Equations early in the text, in Chapter 5. This organization is ideal for those instructors who prefer to teach systems of equations immediately following the chapter on graphing, and the chapters prior to polynomials and factoring. For those who prefer to teach the topic later, Elementary Algebra, by the same author team, places Systems of Equations in Chapter 8.

Each chapter ends with a Chapter Summary, Review Exercises, a Chapter Test, and, with the exception of Chapter 1, a Cumulative Review.

Chapter 1 Foundations of Algebra

Number Sets and the Structure of Algebra

Fractions

Adding and Subtracting Real Numbers; Properties of Real Numbers

Multiplying and Dividing Real Numbers; Properties of Real Numbers

Exponents, Roots, and Order of Operations

Translating Word Phrases to Expressions

Evaluating and Rewriting Expressions

Chapter 2 Solving Linear Equations and Inequalities

Equations, Formulas, and the Problem-Solving Process

The Addition Principle

The Multiplication Principle

Applying the Principles to Formulas

Translating Word Sentences to Equations

Solving Linear Inequalities

Chapter 3 Problem Solving

Ratios and Proportions

Percents

Problems with Two or More Unknowns

Rates

Investment and Mixture

Chapter 4 Graphing Linear Equations and Inequalities

The Rectangular Coordinate System

Graphing Linear Equations

Graphing Using Intercepts

Slope-Intercept form

Point-Slope form

Graphing Linear Inequalities

Introduction to Functions and Function Notation

Chapter 5 Systems of Equations

Solving Systems of Linear Equations Graphically

Solving Systems of Linear Equations by Substitution

Solving Systems of Linear Equations by Elimination

More Applications with Systems of Equations

Solving Systems of Linear Inequalities

Chapter 6 Polynomials

Exponents and Scientific Notation

Introduction to Polynomials

Adding and Subtracting Polynomials

Exponent Rules and Multiplying Monomials

Multiplying Polynomials; Special Products

Exponent Rules and Dividing Polynomials

Chapter 7 Factoring

Greatest Common Factor and Factoring by Grouping

Factoring Trinomials of the Form x2 + bx + c

Factoring Trinomials of the form ax2 + bx + c, where a ?1

Factoring Special Products

Strategies for Factoring

Solving Quadratic Equations by Factoring

Graphs of Quadratic Equations and Functions

Chapter 8 Rational Expressions and Equations

Simplifying Rational Expressions

Multiplying and Dividing Rational Expressions

Adding and Subtracting Rational Expressions with the Same Denominator

Adding and Subtracting Rational Expressions with Different Denominators

Complex Rational Expressions

Solving Equations Containing Rational Expressions

Applications with Rational Expressions

Chapter 9 Roots and Radicals

Square Roots and Radical Expressions

Multiplying and Simplifying Square Roots

Dividing and Simplifying Square Roots

Adding and Subtracting Square Roots

Solving Radical Equations

Higher Roots and Rational Exponents

Chapter 10 Quadratic Equations

The Square Root Principle

Solving Quadratic Equations by Completing the Square

Solving Quadratic Equations Using the Quadratic Formula

Complex Numbers

Graphing Quadratic Equations

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Summary

Tom Carson engages students in the learning process by meeting them where they are and leading them to where they need to be through the determination of their individual learning style, the development of study skills, and the integration of learning strategies that help each student succeed. Elementary Algebra with Early Systems of Equations is a book for the student. The authors' goal is to help build students' confidence, their understanding and appreciation of math, and their basic skills by presenting an extremely user-friendly text that models a framework in which students can succeed. Unfortunately, students who place into developmental math courses often struggle with math anxiety due to bad experiences in past math courses. Developmental math students often have never developed nor applied a study system in mathematics. To address these needs, the authors have framed three goals for Elementary Algebra: 1) reduce math anxiety, 2) teach for understanding, and 3) foster critical thinking and enthusiasm.

The authors' writing style is extremely student-friendly. They talk to students in their own language and walk them through the concepts, explaining not only how to do the math, but also why it works and where it comes from, rather than using the ''monkey-see, monkey-do'' approach that some books take.

Elementary Algebra with Early Systems of Equations, as the title implies, places the topic of Systems of Equations early in the text, in Chapter 5. This organization is ideal for those instructors who prefer to teach systems of equations immediately following the chapter on graphing, and the chapters prior to polynomials and factoring. For those who prefer to teach the topic later, Elementary Algebra, by the same author team, places Systems of Equations in Chapter 8.

Table of Contents

Each chapter ends with a Chapter Summary, Review Exercises, a Chapter Test, and, with the exception of Chapter 1, a Cumulative Review.

Chapter 1 Foundations of Algebra

Number Sets and the Structure of Algebra

Fractions

Adding and Subtracting Real Numbers; Properties of Real Numbers

Multiplying and Dividing Real Numbers; Properties of Real Numbers

Exponents, Roots, and Order of Operations

Translating Word Phrases to Expressions

Evaluating and Rewriting Expressions

Chapter 2 Solving Linear Equations and Inequalities

Equations, Formulas, and the Problem-Solving Process

The Addition Principle

The Multiplication Principle

Applying the Principles to Formulas

Translating Word Sentences to Equations

Solving Linear Inequalities

Chapter 3 Problem Solving

Ratios and Proportions

Percents

Problems with Two or More Unknowns

Rates

Investment and Mixture

Chapter 4 Graphing Linear Equations and Inequalities

The Rectangular Coordinate System

Graphing Linear Equations

Graphing Using Intercepts

Slope-Intercept form

Point-Slope form

Graphing Linear Inequalities

Introduction to Functions and Function Notation

Chapter 5 Systems of Equations

Solving Systems of Linear Equations Graphically

Solving Systems of Linear Equations by Substitution

Solving Systems of Linear Equations by Elimination

More Applications with Systems of Equations

Solving Systems of Linear Inequalities

Chapter 6 Polynomials

Exponents and Scientific Notation

Introduction to Polynomials

Adding and Subtracting Polynomials

Exponent Rules and Multiplying Monomials

Multiplying Polynomials; Special Products

Exponent Rules and Dividing Polynomials

Chapter 7 Factoring

Greatest Common Factor and Factoring by Grouping

Factoring Trinomials of the Form x2 + bx + c

Factoring Trinomials of the form ax2 + bx + c, where a ?1

Factoring Special Products

Strategies for Factoring

Solving Quadratic Equations by Factoring

Graphs of Quadratic Equations and Functions

Chapter 8 Rational Expressions and Equations

Simplifying Rational Expressions

Multiplying and Dividing Rational Expressions

Adding and Subtracting Rational Expressions with the Same Denominator

Adding and Subtracting Rational Expressions with Different Denominators

Complex Rational Expressions

Solving Equations Containing Rational Expressions

Applications with Rational Expressions

Chapter 9 Roots and Radicals

Square Roots and Radical Expressions

Multiplying and Simplifying Square Roots

Dividing and Simplifying Square Roots

Adding and Subtracting Square Roots

Solving Radical Equations

Higher Roots and Rational Exponents

Chapter 10 Quadratic Equations

The Square Root Principle

Solving Quadratic Equations by Completing the Square

Solving Quadratic Equations Using the Quadratic Formula

Complex Numbers

Graphing Quadratic Equations

Publisher Info

Publisher: Addison-Wesley Longman, Inc.

Published: 2006

International: No

Published: 2006

International: No

The authors' writing style is extremely student-friendly. They talk to students in their own language and walk them through the concepts, explaining not only how to do the math, but also why it works and where it comes from, rather than using the ''monkey-see, monkey-do'' approach that some books take.

Elementary Algebra with Early Systems of Equations, as the title implies, places the topic of Systems of Equations early in the text, in Chapter 5. This organization is ideal for those instructors who prefer to teach systems of equations immediately following the chapter on graphing, and the chapters prior to polynomials and factoring. For those who prefer to teach the topic later, Elementary Algebra, by the same author team, places Systems of Equations in Chapter 8.

Chapter 1 Foundations of Algebra

Number Sets and the Structure of Algebra

Fractions

Adding and Subtracting Real Numbers; Properties of Real Numbers

Multiplying and Dividing Real Numbers; Properties of Real Numbers

Exponents, Roots, and Order of Operations

Translating Word Phrases to Expressions

Evaluating and Rewriting Expressions

Chapter 2 Solving Linear Equations and Inequalities

Equations, Formulas, and the Problem-Solving Process

The Addition Principle

The Multiplication Principle

Applying the Principles to Formulas

Translating Word Sentences to Equations

Solving Linear Inequalities

Chapter 3 Problem Solving

Ratios and Proportions

Percents

Problems with Two or More Unknowns

Rates

Investment and Mixture

Chapter 4 Graphing Linear Equations and Inequalities

The Rectangular Coordinate System

Graphing Linear Equations

Graphing Using Intercepts

Slope-Intercept form

Point-Slope form

Graphing Linear Inequalities

Introduction to Functions and Function Notation

Chapter 5 Systems of Equations

Solving Systems of Linear Equations Graphically

Solving Systems of Linear Equations by Substitution

Solving Systems of Linear Equations by Elimination

More Applications with Systems of Equations

Solving Systems of Linear Inequalities

Chapter 6 Polynomials

Exponents and Scientific Notation

Introduction to Polynomials

Adding and Subtracting Polynomials

Exponent Rules and Multiplying Monomials

Multiplying Polynomials; Special Products

Exponent Rules and Dividing Polynomials

Chapter 7 Factoring

Greatest Common Factor and Factoring by Grouping

Factoring Trinomials of the Form x2 + bx + c

Factoring Trinomials of the form ax2 + bx + c, where a ?1

Factoring Special Products

Strategies for Factoring

Solving Quadratic Equations by Factoring

Graphs of Quadratic Equations and Functions

Chapter 8 Rational Expressions and Equations

Simplifying Rational Expressions

Multiplying and Dividing Rational Expressions

Adding and Subtracting Rational Expressions with the Same Denominator

Adding and Subtracting Rational Expressions with Different Denominators

Complex Rational Expressions

Solving Equations Containing Rational Expressions

Applications with Rational Expressions

Chapter 9 Roots and Radicals

Square Roots and Radical Expressions

Multiplying and Simplifying Square Roots

Dividing and Simplifying Square Roots

Adding and Subtracting Square Roots

Solving Radical Equations

Higher Roots and Rational Exponents

Chapter 10 Quadratic Equations

The Square Root Principle

Solving Quadratic Equations by Completing the Square

Solving Quadratic Equations Using the Quadratic Formula

Complex Numbers

Graphing Quadratic Equations