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With all the support of the renowned Aufmann approach, this popular combination text helps your students prepare to master college algebra and to apply algebra in the real world.
1. Real Numbers and Variable Expressions
1.1 Integers
1.2 Rational and Irrational Numbers
1.3 The Order of Operations Agreement
1.4 Variable Expressions
1.5 Sets
2. First-Degree Equations and Inequalities
2.1 Introduction to Equations
2.2 General Equations
2.3 Translating Sentences into Equations
2.4 Mixture and Uniform Motion Problems
2.5 First-Degree Inequalities
2.6 Absolute Value Equations and Inequalities
3. Geometry
3.1 Introduction to Geometry
3.2 Plane Geometric Figures
3.3 Solids
4. Linear Functions and Inequalities in Two Variables
4.1 The Rectangular Coordinate System
4.2 Introduction to Functions
4.3 Linear Functions
4.4 Slope of a Straight Line
4.5 Finding Equations of Lines
4.6 Parallel and Perpendicular Lines
4.7 Inequalities in Two Variables
5. Systems of Linear Equations and Inequalities
5.1 Solving Systems of Linear Equations by Graphing and by the Substitution Method
5.2 Solving Systems of Linear Equations by the Addition Method
5.3 Application Problems
5.4 Solving Systems of Linear Inequalities
6. Polynomials
6.1 Exponential Expressions
6.2 Introduction to Polynomial Functions
6.3 Multiplication of Polynomials
6.4 Division of Polynomials
7. Factoring
7.1 Common Factors
7.2 Factoring Polynomials of the Form x2 + bx + c
7.3 Factoring Polynomials of the Form ax2 + bx + c
7.4 Special Factoring
7.5 Solving Equations
8. Rational Expressions
8.1 Multiplication and Division of Rational Expressions
8.2 Addition and Subtraction of Rational Expressions
8.3 Complex Fractions
8.4 Solving Equations Containing Fractions
8.5 Ratio and Proportion
8.6 Literal Equations
8.7 Application Problems
8.8 Variation
9. Exponents and Radicals
9.1 Rational Exponents and Radical Expressions
9.2 Operations on Radical Expressions
9.3 Solving Equations Containing Radical Expressions
9.4 Complex Numbers
10. Quadratic Equations
10.1 Solving Quadratic Equations by Factoring or by Taking Square Roots
10.2 Solving Quadratic Equations by Completing the Square
10.3 Solving Quadratic Equations by Using the Quadratic Formula
10.4 Solving Equations That Are Reducible to Quadratic Equations
10.5 Quadratic Inequalities and Rational Inequalities
10.6 Applications of Quadratic Equations
11. Functions and Relations
11.1 Properties of Quadratic Functions
11.2 Graphs of Functions
11.3 Algebra of Functions
11.4 One-to-One and Inverse Functions
12. Exponential and Logarithmic Functions
12.1 Exponential Functions (Intermediate Alg 10.1)
12.2 Introduction to Logarithms
12.3 Graphs of Logarithmic Functions
12.4 Solving Exponential and Logarithmic Equations
12.5 Applications of Exponential and Logarithmic Functions
R. Review of Introductory Algebra Topics
R.1 Variable Expressions
R.2 Equations and Inequalities
R.3 Linear Equations in Two Variables
R.4 Polynomials
Richard N. Aufmann, Vernon C. Barker and Joanne Lockwood
ISBN13: 978-0618609536With all the support of the renowned Aufmann approach, this popular combination text helps your students prepare to master college algebra and to apply algebra in the real world.
Table of Contents
1. Real Numbers and Variable Expressions
1.1 Integers
1.2 Rational and Irrational Numbers
1.3 The Order of Operations Agreement
1.4 Variable Expressions
1.5 Sets
2. First-Degree Equations and Inequalities
2.1 Introduction to Equations
2.2 General Equations
2.3 Translating Sentences into Equations
2.4 Mixture and Uniform Motion Problems
2.5 First-Degree Inequalities
2.6 Absolute Value Equations and Inequalities
3. Geometry
3.1 Introduction to Geometry
3.2 Plane Geometric Figures
3.3 Solids
4. Linear Functions and Inequalities in Two Variables
4.1 The Rectangular Coordinate System
4.2 Introduction to Functions
4.3 Linear Functions
4.4 Slope of a Straight Line
4.5 Finding Equations of Lines
4.6 Parallel and Perpendicular Lines
4.7 Inequalities in Two Variables
5. Systems of Linear Equations and Inequalities
5.1 Solving Systems of Linear Equations by Graphing and by the Substitution Method
5.2 Solving Systems of Linear Equations by the Addition Method
5.3 Application Problems
5.4 Solving Systems of Linear Inequalities
6. Polynomials
6.1 Exponential Expressions
6.2 Introduction to Polynomial Functions
6.3 Multiplication of Polynomials
6.4 Division of Polynomials
7. Factoring
7.1 Common Factors
7.2 Factoring Polynomials of the Form x2 + bx + c
7.3 Factoring Polynomials of the Form ax2 + bx + c
7.4 Special Factoring
7.5 Solving Equations
8. Rational Expressions
8.1 Multiplication and Division of Rational Expressions
8.2 Addition and Subtraction of Rational Expressions
8.3 Complex Fractions
8.4 Solving Equations Containing Fractions
8.5 Ratio and Proportion
8.6 Literal Equations
8.7 Application Problems
8.8 Variation
9. Exponents and Radicals
9.1 Rational Exponents and Radical Expressions
9.2 Operations on Radical Expressions
9.3 Solving Equations Containing Radical Expressions
9.4 Complex Numbers
10. Quadratic Equations
10.1 Solving Quadratic Equations by Factoring or by Taking Square Roots
10.2 Solving Quadratic Equations by Completing the Square
10.3 Solving Quadratic Equations by Using the Quadratic Formula
10.4 Solving Equations That Are Reducible to Quadratic Equations
10.5 Quadratic Inequalities and Rational Inequalities
10.6 Applications of Quadratic Equations
11. Functions and Relations
11.1 Properties of Quadratic Functions
11.2 Graphs of Functions
11.3 Algebra of Functions
11.4 One-to-One and Inverse Functions
12. Exponential and Logarithmic Functions
12.1 Exponential Functions (Intermediate Alg 10.1)
12.2 Introduction to Logarithms
12.3 Graphs of Logarithmic Functions
12.4 Solving Exponential and Logarithmic Equations
12.5 Applications of Exponential and Logarithmic Functions
R. Review of Introductory Algebra Topics
R.1 Variable Expressions
R.2 Equations and Inequalities
R.3 Linear Equations in Two Variables
R.4 Polynomials