by Julie Miller, Molly O'Neill and Nancy Hyde
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Miller/O'Neill/Hyde's Introductory and Intermediate Algebra is an insightful and engaging textbook written for teachers by teachers. Through strong pedagogical features, conceptual learning methodologies, student friendly writing, and a wide-variety of exercise sets, Introductory and Intermediate Algebra is a book committed to student success in mathematics.
Part I.
Chapter R Reference
R.1 Study Tips
R.2 Fractions
R.3 Decimals and Percents
R.4 Introduction to Geometry
Chapter 1. Set of Real Numbers
1.1 Sets of Numbers and the Real Number Line
1.2 Order of Operations
1.3 Addition of Real Numbers
1.4 Subtraction of Real Numbers
1.5 Multiplication and Division of Real Numbers
1.6 Properties of Real Numbers and Simplifying Expressions
Chapter 2. Linear Equations and Inequalities
2.1 Addition, Subtraction, Multiplication, and Division Properties of Equality
2.2 Solving Linear Equations
2.3 Linear Equations: Clearing Fractions and Decimals
2.4 Applications of Linear Equations: Introduction to Problem Solving
2.5 Applications Involving Percents
2.6 Formulas and Applications of Geometry
2.7 Linear Inequalities
Chapter 3. Graphing Linear Equations in Two Variables
3.1 Rectangular Coordinate System
3.2 Linear Equations in Two Variables
3.3 Slope of a Line
3.4 Slope-Intercept Form of a Line
3.5 Point-Slope Formula
3.6 Applications of Linear Equations
Chapter 4. Polynomials and Properties of Exponents
4.1 Exponents: Multiplying and Dividing Common Bases
4.2 More Properties of Exponents
4.3 Definitions of b^0 and b^-n
4.4 Scientific Notation
4.5 Addition and Subtraction of Polynomials
4.6 Multiplication of Polynomials
4.7 Division of Polynomials
Chapter 5. Factoring Polynomials
5.1 Greatest Common Factor and Factoring by Grouping
5.2 Factoring Trinomials: Grouping Method
5.3 Factoring Trinomials: Trial-and-Error Method
5.4 Factoring Perfect Square Trinomials and the Difference of Squares
5.5 Factoring the Sum and Difference of Cubes and General Factoring Summary
5.6 Solving Equations Using the Zero Product Rule
Chapter 6. Rational Expressions
6.1 Introduction to Rational Expressions
6.2 Multiplication and Division of Rational Expressions
6.3 Least Common Denominator
6.4 Addition and Subtraction of Rational Expressions
6.5 Complex Fractions
6.6 Rational Equations
6.7 Applications of Rational Equations and Proportions
Part II
Chapter 7. Systems of Linear Equations
7.1 Solving Systems of Linear Equations by Graphing
7.2 Solving Systems of Equations by Using the Substitution Method
7.3 Solving Systems of Equations by Using the Addition Method
7.4 Applications of Systems of Linear Equations in Two Variables
7.5 Systems of Linear Equations in Three Variables and Applications
7.6 Solving Systems of Linear Equations by Using Matrices
Chapter 8. Introduction to Relations and Functions
8.1 Introduction to Relations
8.2 Introduction to Functions
8.3 Graphs of Basic Functions
8.4 Variation
Chapter 9. Radicals and Complex Numbers
9.1 Definition of an nth Root
9.2 Rational Exponents
9.3 Simplifying Radical Expressions
9.4 Addition and Subtraction of Radicals
9.5 Multiplication of Radicals
9.6 Rationalization
9.7 Radical Equations
9.8 Complex Numbers
Chapter 10. Quadratic Equations and Functions
10.1 Completing the Square and the Square Root Property
10.2 Quadratic Formula
10.3 Equations in Quadratic Form
10.4 Graphs of Quadratic Functions
10.5 Vertex of a Parabola and Applications
Chapter 11. More Equations and Inequalities
11.1 Compound Inequalities
11.2 Polynomial and Rational Inequalities
11.3 Absolute Value Equations
11.4 Absolute Value Inequalities
11.5 Linear Inequalities in Two Variables
Chapter 12. Exponential and Logarithmic Functions
12.1 Algebra and Composition of Functions
12.2 Inverse Functions
12.3 Exponential Functions
12.4 Logarithmic Functions
12.5 Properties of Logarithms
12.6 The Irrational Number e
12.7 Exponential and Logarithmic Equations
Student Answer Appendix
Julie Miller, Molly O'Neill and Nancy Hyde
ISBN13: 978-0073298146Miller/O'Neill/Hyde's Introductory and Intermediate Algebra is an insightful and engaging textbook written for teachers by teachers. Through strong pedagogical features, conceptual learning methodologies, student friendly writing, and a wide-variety of exercise sets, Introductory and Intermediate Algebra is a book committed to student success in mathematics.
Table of Contents
Part I.
Chapter R Reference
R.1 Study Tips
R.2 Fractions
R.3 Decimals and Percents
R.4 Introduction to Geometry
Chapter 1. Set of Real Numbers
1.1 Sets of Numbers and the Real Number Line
1.2 Order of Operations
1.3 Addition of Real Numbers
1.4 Subtraction of Real Numbers
1.5 Multiplication and Division of Real Numbers
1.6 Properties of Real Numbers and Simplifying Expressions
Chapter 2. Linear Equations and Inequalities
2.1 Addition, Subtraction, Multiplication, and Division Properties of Equality
2.2 Solving Linear Equations
2.3 Linear Equations: Clearing Fractions and Decimals
2.4 Applications of Linear Equations: Introduction to Problem Solving
2.5 Applications Involving Percents
2.6 Formulas and Applications of Geometry
2.7 Linear Inequalities
Chapter 3. Graphing Linear Equations in Two Variables
3.1 Rectangular Coordinate System
3.2 Linear Equations in Two Variables
3.3 Slope of a Line
3.4 Slope-Intercept Form of a Line
3.5 Point-Slope Formula
3.6 Applications of Linear Equations
Chapter 4. Polynomials and Properties of Exponents
4.1 Exponents: Multiplying and Dividing Common Bases
4.2 More Properties of Exponents
4.3 Definitions of b^0 and b^-n
4.4 Scientific Notation
4.5 Addition and Subtraction of Polynomials
4.6 Multiplication of Polynomials
4.7 Division of Polynomials
Chapter 5. Factoring Polynomials
5.1 Greatest Common Factor and Factoring by Grouping
5.2 Factoring Trinomials: Grouping Method
5.3 Factoring Trinomials: Trial-and-Error Method
5.4 Factoring Perfect Square Trinomials and the Difference of Squares
5.5 Factoring the Sum and Difference of Cubes and General Factoring Summary
5.6 Solving Equations Using the Zero Product Rule
Chapter 6. Rational Expressions
6.1 Introduction to Rational Expressions
6.2 Multiplication and Division of Rational Expressions
6.3 Least Common Denominator
6.4 Addition and Subtraction of Rational Expressions
6.5 Complex Fractions
6.6 Rational Equations
6.7 Applications of Rational Equations and Proportions
Part II
Chapter 7. Systems of Linear Equations
7.1 Solving Systems of Linear Equations by Graphing
7.2 Solving Systems of Equations by Using the Substitution Method
7.3 Solving Systems of Equations by Using the Addition Method
7.4 Applications of Systems of Linear Equations in Two Variables
7.5 Systems of Linear Equations in Three Variables and Applications
7.6 Solving Systems of Linear Equations by Using Matrices
Chapter 8. Introduction to Relations and Functions
8.1 Introduction to Relations
8.2 Introduction to Functions
8.3 Graphs of Basic Functions
8.4 Variation
Chapter 9. Radicals and Complex Numbers
9.1 Definition of an nth Root
9.2 Rational Exponents
9.3 Simplifying Radical Expressions
9.4 Addition and Subtraction of Radicals
9.5 Multiplication of Radicals
9.6 Rationalization
9.7 Radical Equations
9.8 Complex Numbers
Chapter 10. Quadratic Equations and Functions
10.1 Completing the Square and the Square Root Property
10.2 Quadratic Formula
10.3 Equations in Quadratic Form
10.4 Graphs of Quadratic Functions
10.5 Vertex of a Parabola and Applications
Chapter 11. More Equations and Inequalities
11.1 Compound Inequalities
11.2 Polynomial and Rational Inequalities
11.3 Absolute Value Equations
11.4 Absolute Value Inequalities
11.5 Linear Inequalities in Two Variables
Chapter 12. Exponential and Logarithmic Functions
12.1 Algebra and Composition of Functions
12.2 Inverse Functions
12.3 Exponential Functions
12.4 Logarithmic Functions
12.5 Properties of Logarithms
12.6 The Irrational Number e
12.7 Exponential and Logarithmic Equations
Student Answer Appendix