Elementary Algebra with Early Systems of Equations
Published on 11. April 2005
Book
Hardback
960 pages
978-0-321-29525-5 (ISBN)
Description
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.
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.
More details
Language
English
Place of publication
United States
Publishing group
Pearson Education (US)
Target group
Professional and scholarly
Weight
1982 gr
ISBN-13
978-0-321-29525-5 (9780321295255)
Copyright in bibliographic data and cover images is held by Nielsen Book Services Limited or by the publishers or by their respective licensors: all rights reserved.
Schweitzer Classification
Content
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
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