Introductory Algebra through Applications
Published on 5. August 2004
Book
Paperback/Softback
816 pages
978-0-201-31223-2 (ISBN)
Description
Throughout this text, motivating real-world applications, examples, and exercises demonstrate how integral mathematical understanding is to student mastery in other disciplines, a variety of occupations, and everyday situations. A distinctive side-by-side format, pairing each example with a corresponding practice exercise, encourages students to get actively involved in the mathematical content from the start. Unique Mindstretchers target different levels and types of student understanding in one comprehensive problem set per section. Mindstretchers incorporate related investigation, critical thinking, reasoning, and pattern recognition exercises along with corresponding group work and cultural connections. To show how mathematics has evolved over the centuries, in many cultures, and throughout the world, each chapter features a compelling Cultural Note that investigates and illustrates the origins of mathematical concepts. Diverse topics include art, music, the evolution of digit notation, and the ancient practice of using a scale to find an unknown weight.
More details
Language
English
Place of publication
United States
Publishing group
Pearson Education (US)
Target group
Professional and scholarly
Dimensions
Height: 275 mm
Width: 220 mm
Thickness: 25 mm
Weight
1597 gr
ISBN-13
978-0-201-31223-2 (9780201312232)
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
Other editions
New editions
Geoffrey Akst | Sadie Bragg
Introductory Algebra through Applications
Book
02/2008
2nd Edition
Pearson
€121.31
Article exhausted; check for reprint
Content
R. Pre-algebra Review.
Exponents and Order of Operations.
Factors, Primes, and Least Common Multiples.
Fractions.
Decimals.
Percent Conversions.
1. Introduction to Real Numbers and Algebraic Expressions.
Integers, Rational Numbers, and the Real Number Line.
Addition of Real Numbers.
Subtraction of Real Numbers.
Multiplication of Real Numbers.
Division of Real Numbers.
Algebraic Expressions, Translations, and Exponents.
Evaluating Algebraic Expressions and Formulas.
Simplifying Algebraic Expressions.
2. Solving Linear Equations and Inequalities.
Solving Linear Equations: The Addition Property.
Solving Linear Equations: The Multiplication Property.
Solving Linear Equations by Combining Properties.
Solving Literal Equations and Formulas.
Solving Equations Involving Percent.
Solving Inequalities.
3. Graphing Linear Equations and Inequalities.
Introduction to Graphing.
Slope.
Linear Equations and Their Graphs.
More on Linear Equations and Their Graphs.
Linear Inequalities and Their Graphs.
4. Solving Systems of Linear Equations.
Introduction to Systems of Linear Equations: Solving by Graphing.
Solving Systems of Linear Equations by Substitution.
Solving Systems of Linear Equations by Elimination.
5. Exponents and Polynomials.
Laws of Exponents.
More Laws of Exponents and Scientific Notation.
Basic Concepts of Polynomials.
Addition and Subtraction of Polynomials.
Multiplication of Polynomials.
Special Products.
Division of Polynomials.
6. Factoring Polynomials.
Common Factors and Factoring by Grouping.
Factoring Trinomials Whose Leading Coefficient Is One.
Factoring Trinomials Whose Leading Coefficient Is Not One.
Factoring Perfect Square Trinomials and the Difference of Squares.
Solving Quadratic Equations by Factoring.
7. Rational Expressions and Equations.
Rational Expressions.
Multiplication and Division of Rational Expressions.
Addition and Subtraction of Rational Expressions.
Complex Rational Expressions.
Solving Rational Equations.
Ratio and Proportion.
8. Radical Expressions and Equations.
Introduction to Radical Expressions.
Addition and Subtraction of Radical Expressions.
Multiplication and Division of Radical Expressions.
Solving Radical Equations.
9. More on Quadratic Equations.
Solving Quadratic Equations by the Square Root Property.
Solving Quadratic Equations by Completing the Square.
Solving Quadratic Equations Using the Quadratic Formula.
Graphing Quadratic Equations in Two Variables.
Appendices.
Table of Symbols.
Table of Abbreviations.
Fractional, Decimal and Percent Equivalents.
Geometric Formulas.
Exponents and Order of Operations.
Factors, Primes, and Least Common Multiples.
Fractions.
Decimals.
Percent Conversions.
1. Introduction to Real Numbers and Algebraic Expressions.
Integers, Rational Numbers, and the Real Number Line.
Addition of Real Numbers.
Subtraction of Real Numbers.
Multiplication of Real Numbers.
Division of Real Numbers.
Algebraic Expressions, Translations, and Exponents.
Evaluating Algebraic Expressions and Formulas.
Simplifying Algebraic Expressions.
2. Solving Linear Equations and Inequalities.
Solving Linear Equations: The Addition Property.
Solving Linear Equations: The Multiplication Property.
Solving Linear Equations by Combining Properties.
Solving Literal Equations and Formulas.
Solving Equations Involving Percent.
Solving Inequalities.
3. Graphing Linear Equations and Inequalities.
Introduction to Graphing.
Slope.
Linear Equations and Their Graphs.
More on Linear Equations and Their Graphs.
Linear Inequalities and Their Graphs.
4. Solving Systems of Linear Equations.
Introduction to Systems of Linear Equations: Solving by Graphing.
Solving Systems of Linear Equations by Substitution.
Solving Systems of Linear Equations by Elimination.
5. Exponents and Polynomials.
Laws of Exponents.
More Laws of Exponents and Scientific Notation.
Basic Concepts of Polynomials.
Addition and Subtraction of Polynomials.
Multiplication of Polynomials.
Special Products.
Division of Polynomials.
6. Factoring Polynomials.
Common Factors and Factoring by Grouping.
Factoring Trinomials Whose Leading Coefficient Is One.
Factoring Trinomials Whose Leading Coefficient Is Not One.
Factoring Perfect Square Trinomials and the Difference of Squares.
Solving Quadratic Equations by Factoring.
7. Rational Expressions and Equations.
Rational Expressions.
Multiplication and Division of Rational Expressions.
Addition and Subtraction of Rational Expressions.
Complex Rational Expressions.
Solving Rational Equations.
Ratio and Proportion.
8. Radical Expressions and Equations.
Introduction to Radical Expressions.
Addition and Subtraction of Radical Expressions.
Multiplication and Division of Radical Expressions.
Solving Radical Equations.
9. More on Quadratic Equations.
Solving Quadratic Equations by the Square Root Property.
Solving Quadratic Equations by Completing the Square.
Solving Quadratic Equations Using the Quadratic Formula.
Graphing Quadratic Equations in Two Variables.
Appendices.
Table of Symbols.
Table of Abbreviations.
Fractional, Decimal and Percent Equivalents.
Geometric Formulas.