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Intended for developmental math courses in beginning algebra, this text retains the hallmark features that have made the Aufmann texts market leaders: an interactive approach in an objective-based framework: a clear writing style, and an emphasis on problem-solving strategies. The acclaimed Aufmann Interactive Method, allows students to try a skill as it is introduced with matched-pair examples, offering students immediate feedback, reinforcing the concept, identifying problem areas, and, overall, promoting student success.
1. Prealgebra Review
1.1 Introduction to Integers
1.2 Operations with Integers
1.3 Rational Numbers
1.4 Exponents and the Order of Operations Agreement
1.5 Concepts from Geometry
2. Variable Expressions
2.1 Evaluating Variable Expressions
2.2 Simplifying Variable Expressions
2.3 Translating Verbal Expressions into Variable Expressions
3. Solving Equations and Inequalities
3.1 Introduction to Equations
3.2 General Equations
3.3 Inequalities
4. Solving Equations and Inequalities: Applications
4.1 Translating Sentences into Equations
4.2 Integer, Coin, and Stamp Problems
4.3 Geometry Problems
4.4 Markup and Discount Problems
4.5 Investment Problems
4.6 Mixture Problems
4.7 Uniform Motion Problems
4.8 Inequalities
5. Linear Equations and Inequalities
5.1 The Rectangular Coordinate System
5.2 Graphs of Straight Lines
5.3 Slopes of Straight Lines
5.4 Equations of Straight Lines
5.5 Functions
5.6 Graphing Linear Inequalities
6. Systems of Linear Equations
6.1 Solving Systems of Linear Equations by Graphing
6.2 Solving Systems of Linear Equations by the Substitution Method
6.3 Solving Systems of Linear Equations by the Addition Method
6.4 Application Problems in Two Variables
7. Polynomials
7.1 Addition and Subtraction of Polynomials
7.2 Multiplication of Monomials
7.3 Multiplication of Polynomials
7.4 Integer Exponents and Scientific Notation
7.5 Division of Polynomials
8. Factoring
8.1 Common Factors
8.2 Factoring Polynomials of the Form x2 + bx + c
8.3 Factoring Polynomials of the Form ax2 + bx + c
8.4 Special Factoring
8.5 Solving Equations
9. Rational Expressions
9.1 Multiplication and Division of Rational Expressions
9.2 Expressing Fractions in Terms of the Least Common Multiple of their Denominators
9.3 Addition and Subtraction of Rational Expressions
9.4 Complex Fractions
9.5 Equations Containing Fractions
9.6 Literal Equations
9.7 Application Problems
10. Radical Expressions
10.1 Introduction to Radical Expressions
10.2 Addition and Subtraction of Radical Expressions
10.3 Multiplication and Division of Radical Expressions
10.4 Solving Equations Containing Radical Expressions
11. Quadratic Equations
11.1 Solving Quadratic Equations by Factoring or by Taking Square Roots
11.2 Solving Quadratic Equations by Completing the Square
11.3 Solving Quadratic Equations by Using the Quadratic Formula
11.4 Complex Numbers
11.5 Graphing Quadratic Equations in Two Variables
11.6 Application Problems
Richard N. Aufmann, Vernon C. Barker and Joanne Lockwood
ISBN13: 978-0618803590Intended for developmental math courses in beginning algebra, this text retains the hallmark features that have made the Aufmann texts market leaders: an interactive approach in an objective-based framework: a clear writing style, and an emphasis on problem-solving strategies. The acclaimed Aufmann Interactive Method, allows students to try a skill as it is introduced with matched-pair examples, offering students immediate feedback, reinforcing the concept, identifying problem areas, and, overall, promoting student success.
Table of Contents
1. Prealgebra Review
1.1 Introduction to Integers
1.2 Operations with Integers
1.3 Rational Numbers
1.4 Exponents and the Order of Operations Agreement
1.5 Concepts from Geometry
2. Variable Expressions
2.1 Evaluating Variable Expressions
2.2 Simplifying Variable Expressions
2.3 Translating Verbal Expressions into Variable Expressions
3. Solving Equations and Inequalities
3.1 Introduction to Equations
3.2 General Equations
3.3 Inequalities
4. Solving Equations and Inequalities: Applications
4.1 Translating Sentences into Equations
4.2 Integer, Coin, and Stamp Problems
4.3 Geometry Problems
4.4 Markup and Discount Problems
4.5 Investment Problems
4.6 Mixture Problems
4.7 Uniform Motion Problems
4.8 Inequalities
5. Linear Equations and Inequalities
5.1 The Rectangular Coordinate System
5.2 Graphs of Straight Lines
5.3 Slopes of Straight Lines
5.4 Equations of Straight Lines
5.5 Functions
5.6 Graphing Linear Inequalities
6. Systems of Linear Equations
6.1 Solving Systems of Linear Equations by Graphing
6.2 Solving Systems of Linear Equations by the Substitution Method
6.3 Solving Systems of Linear Equations by the Addition Method
6.4 Application Problems in Two Variables
7. Polynomials
7.1 Addition and Subtraction of Polynomials
7.2 Multiplication of Monomials
7.3 Multiplication of Polynomials
7.4 Integer Exponents and Scientific Notation
7.5 Division of Polynomials
8. Factoring
8.1 Common Factors
8.2 Factoring Polynomials of the Form x2 + bx + c
8.3 Factoring Polynomials of the Form ax2 + bx + c
8.4 Special Factoring
8.5 Solving Equations
9. Rational Expressions
9.1 Multiplication and Division of Rational Expressions
9.2 Expressing Fractions in Terms of the Least Common Multiple of their Denominators
9.3 Addition and Subtraction of Rational Expressions
9.4 Complex Fractions
9.5 Equations Containing Fractions
9.6 Literal Equations
9.7 Application Problems
10. Radical Expressions
10.1 Introduction to Radical Expressions
10.2 Addition and Subtraction of Radical Expressions
10.3 Multiplication and Division of Radical Expressions
10.4 Solving Equations Containing Radical Expressions
11. Quadratic Equations
11.1 Solving Quadratic Equations by Factoring or by Taking Square Roots
11.2 Solving Quadratic Equations by Completing the Square
11.3 Solving Quadratic Equations by Using the Quadratic Formula
11.4 Complex Numbers
11.5 Graphing Quadratic Equations in Two Variables
11.6 Application Problems