
Beginning and Intermediate Algebra
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Program Details
Beginning and Intermediate Algebra 4e
Chapter 1: Set of Real Numbers
1.1 Fractions
1.2 Introduction to Algebra and the Set of Real Numbers
1.3 Exponents, Square Roots, and Order of Operations
1.4 Addition of Real Numbers
1.5 Subtraction of Real Numbers
Problem Recognition Exercises—Addition and Subtraction of Real Numbers
1.6 Multiplication and Division of Real Numbers
Problem Recognition Exercises—Adding, Subtracting, Multiplying and Dividing Real Numbers
1.7 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
Problem Recognition Exercises—Equations vs.Expressions
2.4 Applications of Linear Equations: Introduction to Problem Solving2.5 Applications Involving Percents2.6 Formulas and Applications of Geometry2.7 Mixture Applications and Uniform Motion2.8 Linear InequalitiesChapter 3: Graphing Linear Equations in Two Variables
3.1 Rectangular Coordinate System3.2 Linear Equations in Two Variables3.3 Slope of a Line and Rate of Change3.4 Slope-Intercept Form of a Linear Equation
2.5 Applications Involving Percents2.6 Formulas and Applications of Geometry2.7 Mixture Applications and Uniform Motion2.8 Linear InequalitiesChapter 3: Graphing Linear Equations in Two Variables
3.1 Rectangular Coordinate System3.2 Linear Equations in Two Variables3.3 Slope of a Line and Rate of Change3.4 Slope-Intercept Form of a Linear Equation
2.6 Formulas and Applications of Geometry2.7 Mixture Applications and Uniform Motion2.8 Linear InequalitiesChapter 3: Graphing Linear Equations in Two Variables
3.1 Rectangular Coordinate System3.2 Linear Equations in Two Variables3.3 Slope of a Line and Rate of Change3.4 Slope-Intercept Form of a Linear Equation
2.8 Linear InequalitiesChapter 3: Graphing Linear Equations in Two Variables
3.1 Rectangular Coordinate System3.2 Linear Equations in Two Variables3.3 Slope of a Line and Rate of Change3.4 Slope-Intercept Form of a Linear Equation
3.2 Linear Equations in Two Variables3.3 Slope of a Line and Rate of Change3.4 Slope-Intercept Form of a Linear Equation
3.4 Slope-Intercept Form of a Linear Equation
Problem Recognition Exercises-Linear Equations in Two Variables
Point-Slope FormulaApplications of Linear EquationsChapter 4: Systems of Linear Equations
4.1 Solving Systems of Equations by the Graphing Method4.2 Solving Systems of Equations by the Substitution Method4.3 Solving Systems of Equations by the Addition Method
Applications of Linear EquationsChapter 4: Systems of Linear Equations
4.1 Solving Systems of Equations by the Graphing Method4.2 Solving Systems of Equations by the Substitution Method4.3 Solving Systems of Equations by the Addition Method
4.2 Solving Systems of Equations by the Substitution Method4.3 Solving Systems of Equations by the Addition Method
Problem Recognition Exercises: Systems of Equations
4.4 Applications of Linear Equations in Three Variables4.5 Systems of Linear Equations in Three Variables4.6 Applications of Systems of Linear Equations in Three VariablesChapter 5: Polynomials and Properties of Exponents
5.1 Multiplying and Dividing Expressions with Common Bases5.2 More Properties of Exponents5.3 Definitions of b^0 and b^-n
4.5 Systems of Linear Equations in Three Variables4.6 Applications of Systems of Linear Equations in Three VariablesChapter 5: Polynomials and Properties of Exponents
5.1 Multiplying and Dividing Expressions with Common Bases5.2 More Properties of Exponents5.3 Definitions of b^0 and b^-n
Chapter 5: Polynomials and Properties of Exponents
5.1 Multiplying and Dividing Expressions with Common Bases5.2 More Properties of Exponents5.3 Definitions of b^0 and b^-n
5.3 Definitions of b^0 and b^-n
Problem Recognition Exercises-Properties of Exponents
5.4 Scientific Notation5.5 Addition and Subtraction of Polynomials5.6 Multiplication of Polynomials5.7 Division of Polynomials
5.5 Addition and Subtraction of Polynomials5.6 Multiplication of Polynomials5.7 Division of Polynomials
5.7 Division of Polynomials
Problem Recognition Exercises-Operations on Polynomials
Chapter 6: Factoring Polynomials
6.1 Greatest Common Factor and Factoring by Grouping6.2 Factoring Trinomials of the Form x^2 + bx + c6.3 Factoring Trinomials: Trial-and-Error Method6.4 Factoring Trinomials: AC-Method6.5 Difference of Squares and Perfect Square Trinomials6.6 Sum and Difference of Cubes
6.2 Factoring Trinomials of the Form x^2 + bx + c6.3 Factoring Trinomials: Trial-and-Error Method6.4 Factoring Trinomials: AC-Method6.5 Difference of Squares and Perfect Square Trinomials6.6 Sum and Difference of Cubes
6.4 Factoring Trinomials: AC-Method6.5 Difference of Squares and Perfect Square Trinomials6.6 Sum and Difference of Cubes
6.6 Sum and Difference of Cubes
Problem Recognition Exercises-Factoring Strategy
6.7 Solving Equations Using the Zero Product Rule
Problem Recognition Exercises-Polynomial Expressions and Polynomial Equations
6.8 Applications of Quadratic EquationsChapter 7: Rational Expressions and Equations
7.1 Introduction of Rational Expressions7.2 Multiplication and Division of Rational Expressions7.3 Least Common Denominator7.4 Addition and Subtraction of Rational Expressions
Chapter 7: Rational Expressions and Equations
7.1 Introduction of Rational Expressions7.2 Multiplication and Division of Rational Expressions7.3 Least Common Denominator7.4 Addition and Subtraction of Rational Expressions
7.2 Multiplication and Division of Rational Expressions7.3 Least Common Denominator7.4 Addition and Subtraction of Rational Expressions
7.3 Least Common Denominator7.4 Addition and Subtraction of Rational Expressions
7.4 Addition and Subtraction of Rational Expressions
Problem Recognition Exercises-Operations of Rational Expressions
7.5 Complex Fractions7.6 Rational Equations
7.6 Rational Equations
Problem Recognition Exercises-Comparing Rational Equations and Rational Expressions
7.7 Applications of Rational Equations and ProportionsChapter 8: Relations and Functions
8.1 Introduction of Relations8.2 Introduction of Functions8.3 Graphs of Functions
Chapter 8: Relations and Functions
8.1 Introduction of Relations8.2 Introduction of Functions8.3 Graphs of Functions
8.2 Introduction of Functions8.3 Graphs of Functions
8.3 Graphs of Functions
Problem Recognition Exercises: Characteristics of Relations
8.4 Alebra of Functions and Composition8.5 VariationChapter 9: More Equations and Inequalities9.1 Compound Inequalities9.2 Polynomial and Rational Enequalities9.3 Absolute Value Equations9.4 Absolute Value Inequalities
8.5 VariationChapter 9: More Equations and Inequalities9.1 Compound Inequalities9.2 Polynomial and Rational Enequalities9.3 Absolute Value Equations9.4 Absolute Value Inequalities
Chapter 9: More Equations and Inequalities9.1 Compound Inequalities9.2 Polynomial and Rational Enequalities9.3 Absolute Value Equations9.4 Absolute Value Inequalities
9.1 Compound Inequalities9.2 Polynomial and Rational Enequalities9.3 Absolute Value Equations9.4 Absolute Value Inequalities
9.2 Polynomial and Rational Enequalities9.3 Absolute Value Equations9.4 Absolute Value Inequalities
9.3 Absolute Value Equations9.4 Absolute Value Inequalities
9.4 Absolute Value Inequalities
Problem Recognition Exercises: Equations and Inequalities
9.5 Linear and Compound Inequalities in Two VariablesChapter 10: Radicals and Complex Numbers10.1 Definition of an nth Root10.2 Rational Exponents10.3 Simplifying Radical Expressions10.4 Addition and Subtraction of Radicals10.5 Multiplication of Radical
Chapter 10: Radicals and Complex Numbers10.1 Definition of an nth Root10.2 Rational Exponents10.3 Simplifying Radical Expressions10.4 Addition and Subtraction of Radicals10.5 Multiplication of Radical
10.1 Definition of an nth Root10.2 Rational Exponents10.3 Simplifying Radical Expressions10.4 Addition and Subtraction of Radicals10.5 Multiplication of Radical
10.2 Rational Exponents10.3 Simplifying Radical Expressions10.4 Addition and Subtraction of Radicals10.5 Multiplication of Radical
10.3 Simplifying Radical Expressions10.4 Addition and Subtraction of Radicals10.5 Multiplication of Radical
10.4 Addition and Subtraction of Radicals10.5 Multiplication of Radical
10.5 Multiplication of Radical
Problem Recognition Exercises: Simplifying Radical Expressions
10.6 Division of Radicals and Rationalization10.7 Solving Radical Equations10.8 Complex NumbersChapter 11: Quadratic Equations, Functions and Inequalities11.1 Square Root Property and Completing the Square11.2 Quadratic Formula11.3 Equations in Quadratic Form
10.7 Solving Radical Equations10.8 Complex NumbersChapter 11: Quadratic Equations, Functions and Inequalities11.1 Square Root Property and Completing the Square11.2 Quadratic Formula11.3 Equations in Quadratic Form
10.8 Complex NumbersChapter 11: Quadratic Equations, Functions and Inequalities11.1 Square Root Property and Completing the Square11.2 Quadratic Formula11.3 Equations in Quadratic Form
Chapter 11: Quadratic Equations, Functions and Inequalities11.1 Square Root Property and Completing the Square11.2 Quadratic Formula11.3 Equations in Quadratic Form
11.1 Square Root Property and Completing the Square11.2 Quadratic Formula11.3 Equations in Quadratic Form
11.2 Quadratic Formula11.3 Equations in Quadratic Form
11.3 Equations in Quadratic Form
Problem Recognition Exercises: Quadratic and Quadratic Type Equations
11.4 Graphs of Quadratic Functions11.5 Vertex of a Parabola: Applications and ModelingChapter 12: Exponential and Logarithmic Functions and Applications12.1 Inverse Functions12.2 Exponential Functions12.3 Logarithmic Functions
11.5 Vertex of a Parabola: Applications and ModelingChapter 12: Exponential and Logarithmic Functions and Applications12.1 Inverse Functions12.2 Exponential Functions12.3 Logarithmic Functions
Chapter 12: Exponential and Logarithmic Functions and Applications12.1 Inverse Functions12.2 Exponential Functions12.3 Logarithmic Functions
12.1 Inverse Functions12.2 Exponential Functions12.3 Logarithmic Functions
12.2 Exponential Functions12.3 Logarithmic Functions
12.3 Logarithmic Functions
Problem Recognition Exercises: Logarithmic and Exponential Forms
12.4 Properties of Logarithms12.5 The Irrational Number and change of Base12.6 Logarithmic and Exponential Equations and ApplicationsChapter 13: Conic Sections13.1 Distance Formula, Midpoint Formula, and Circles13.2 More on the Parabola13.3 The Ellipse and Hyperbola
12.5 The Irrational Number and change of Base12.6 Logarithmic and Exponential Equations and ApplicationsChapter 13: Conic Sections13.1 Distance Formula, Midpoint Formula, and Circles13.2 More on the Parabola13.3 The Ellipse and Hyperbola
12.6 Logarithmic and Exponential Equations and ApplicationsChapter 13: Conic Sections13.1 Distance Formula, Midpoint Formula, and Circles13.2 More on the Parabola13.3 The Ellipse and Hyperbola
Chapter 13: Conic Sections13.1 Distance Formula, Midpoint Formula, and Circles13.2 More on the Parabola13.3 The Ellipse and Hyperbola
13.1 Distance Formula, Midpoint Formula, and Circles13.2 More on the Parabola13.3 The Ellipse and Hyperbola
13.2 More on the Parabola13.3 The Ellipse and Hyperbola
13.3 The Ellipse and Hyperbola
Problem Recognition Exercises: Formulas and Conic Sections
13.4 Nonlinear Systems of Equation in Two Variables13.5 Nonlinear Inequalities and Systems of InequalitiesChapter 14: Binomial Expansions, Sequences, and Series14.1 Binomial Expansions14.2 Sequences and Series14.3 Arithmetic Sequences and Series14.4 Geometric Sequences and Series
13.5 Nonlinear Inequalities and Systems of InequalitiesChapter 14: Binomial Expansions, Sequences, and Series14.1 Binomial Expansions14.2 Sequences and Series14.3 Arithmetic Sequences and Series14.4 Geometric Sequences and Series
Chapter 14: Binomial Expansions, Sequences, and Series14.1 Binomial Expansions14.2 Sequences and Series14.3 Arithmetic Sequences and Series14.4 Geometric Sequences and Series
14.1 Binomial Expansions14.2 Sequences and Series14.3 Arithmetic Sequences and Series14.4 Geometric Sequences and Series
14.2 Sequences and Series14.3 Arithmetic Sequences and Series14.4 Geometric Sequences and Series
14.3 Arithmetic Sequences and Series14.4 Geometric Sequences and Series
14.4 Geometric Sequences and Series
Problem Recognition Exercises: Identifying Arithmetic and Geometric Series
Additional Topics AppendixA.1 Mean, Median, and ModeA.2 Introduction to GeometryA.3 Solving Systems of Linear Equations Using MatricesA.4 Determinants and Cramer’s Rule
A.1 Mean, Median, and ModeA.2 Introduction to GeometryA.3 Solving Systems of Linear Equations Using MatricesA.4 Determinants and Cramer’s Rule
A.2 Introduction to GeometryA.3 Solving Systems of Linear Equations Using MatricesA.4 Determinants and Cramer’s Rule
A.3 Solving Systems of Linear Equations Using MatricesA.4 Determinants and Cramer’s Rule
A.4 Determinants and Cramer’s Rule
About the Author
Julie Miller
Julie Miller is from Daytona State College, where she has taught developmental and upper-level mathematics courses for 20 years. Prior to her work at Daytona State College, she worked as a software engineer for General Electric in the area of flight and radar simulation. Julie earned a bachelor of science in applied mathematics from Union College in Schenectady, New York, and a master of science in mathematics from the University of Florida. In addition to this textbook, she has authored several course supplements for college algebra, trigonometry, and precalculus, as well as several short works of fiction and nonfiction for young readers.
My father is a medical researcher, and I got hooked on math and science when I was young and would visit his laboratory. I can remember using graph paper to plot data points for his experiments and doing simple calculations. He would then tell me what the peaks and features in the graph meant in the context of his experiment. I think that applications and hands-on experience made math come alive for me and I’d like to see math come alive for my students.
Molly O'Neill
Molly ONeill is from Daytona State College, where she has taught for 22 years in the School of Mathematics. She has taught a variety of courses from developmental mathematics to calculus. Before she came to Florida, Molly taught as an adjunct instructor at the University of Michigan-Dearborn, Eastern Michigan University, Wayne State University, and Oakland Community College. Molly earned a bachelor of science in mathematics and a master of arts and teaching from Western Michigan University in Kalamazoo, Michigan. Besides this textbook, she has authored several course supplements for college algebra, trigonometry, and precalculus and has reviewed texts for developmental mathematics.
I differ from many of my colleagues in that math was not always easy for me. But in seventh grade I had a teacher who taught me that if I follow the rules of mathematics, even I could solve math problems. Once I understood this, I enjoyed math to the point of choosing it for my career. I now have the greatest job because I get to do math every day and I have the opportunity to influence my students just as I was influenced. Authoring these texts has given me another avenue to reach even more students.
Nancy Hyde
Nancy Hyde served as a full-time faculty member of the Mathematics Department at Broward College for 24 years. During this time she taught the full spectrum of courses from developmental math through differential equations. She received a bachelor of science degree in math education from Florida State University and a master’s degree in math education from Florida Atlantic University. She has conducted workshops and seminars for both students and teachers on the use of technology in the classroom. In addition to this textbook, she has authored a graphing calculator supplement for College Algebra. I grew up in Brevard County, Florida, where my father worked at Cape Canaveral. I was always excited by mathematics and physics in relation to the space program. As I studied higher levels of mathematics I became more intrigued by its abstract nature and infinite possibilities. It is enjoyable and rewarding to convey this perspective to students while helping them to understand mathematics.
Beginning and Intermediate Algebra 4e
Chapter 1: Set of Real Numbers
1.1 Fractions
1.2 Introduction to Algebra and the Set of Real Numbers
1.3 Exponents, Square Roots, and Order of Operations
1.4 Addition of Real Numbers
1.5 Subtraction of Real Numbers
Problem Recognition Exercises—Addition and Subtraction of Real Numbers
1.6 Multiplication and Division of Real Numbers
Problem Recognition Exercises—Adding, Subtracting, Multiplying and Dividing Real Numbers
1.7 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
Problem Recognition Exercises—Equations vs.Expressions
2.4 Applications of Linear Equations: Introduction to Problem Solving2.5 Applications Involving Percents2.6 Formulas and Applications of Geometry2.7 Mixture Applications and Uniform Motion2.8 Linear InequalitiesChapter 3: Graphing Linear Equations in Two Variables
3.1 Rectangular Coordinate System3.2 Linear Equations in Two Variables3.3 Slope of a Line and Rate of Change3.4 Slope-Intercept Form of a Linear Equation
2.5 Applications Involving Percents2.6 Formulas and Applications of Geometry2.7 Mixture Applications and Uniform Motion2.8 Linear InequalitiesChapter 3: Graphing Linear Equations in Two Variables
3.1 Rectangular Coordinate System3.2 Linear Equations in Two Variables3.3 Slope of a Line and Rate of Change3.4 Slope-Intercept Form of a Linear Equation
2.6 Formulas and Applications of Geometry2.7 Mixture Applications and Uniform Motion2.8 Linear InequalitiesChapter 3: Graphing Linear Equations in Two Variables
3.1 Rectangular Coordinate System3.2 Linear Equations in Two Variables3.3 Slope of a Line and Rate of Change3.4 Slope-Intercept Form of a Linear Equation
2.8 Linear InequalitiesChapter 3: Graphing Linear Equations in Two Variables
3.1 Rectangular Coordinate System3.2 Linear Equations in Two Variables3.3 Slope of a Line and Rate of Change3.4 Slope-Intercept Form of a Linear Equation
3.2 Linear Equations in Two Variables3.3 Slope of a Line and Rate of Change3.4 Slope-Intercept Form of a Linear Equation
3.4 Slope-Intercept Form of a Linear Equation
Problem Recognition Exercises-Linear Equations in Two Variables
Point-Slope FormulaApplications of Linear EquationsChapter 4: Systems of Linear Equations
4.1 Solving Systems of Equations by the Graphing Method4.2 Solving Systems of Equations by the Substitution Method4.3 Solving Systems of Equations by the Addition Method
Applications of Linear EquationsChapter 4: Systems of Linear Equations
4.1 Solving Systems of Equations by the Graphing Method4.2 Solving Systems of Equations by the Substitution Method4.3 Solving Systems of Equations by the Addition Method
4.2 Solving Systems of Equations by the Substitution Method4.3 Solving Systems of Equations by the Addition Method
Problem Recognition Exercises: Systems of Equations
4.4 Applications of Linear Equations in Three Variables4.5 Systems of Linear Equations in Three Variables4.6 Applications of Systems of Linear Equations in Three VariablesChapter 5: Polynomials and Properties of Exponents
5.1 Multiplying and Dividing Expressions with Common Bases5.2 More Properties of Exponents5.3 Definitions of b^0 and b^-n
4.5 Systems of Linear Equations in Three Variables4.6 Applications of Systems of Linear Equations in Three VariablesChapter 5: Polynomials and Properties of Exponents
5.1 Multiplying and Dividing Expressions with Common Bases5.2 More Properties of Exponents5.3 Definitions of b^0 and b^-n
Chapter 5: Polynomials and Properties of Exponents
5.1 Multiplying and Dividing Expressions with Common Bases5.2 More Properties of Exponents5.3 Definitions of b^0 and b^-n
5.3 Definitions of b^0 and b^-n
Problem Recognition Exercises-Properties of Exponents
5.4 Scientific Notation5.5 Addition and Subtraction of Polynomials5.6 Multiplication of Polynomials5.7 Division of Polynomials
5.5 Addition and Subtraction of Polynomials5.6 Multiplication of Polynomials5.7 Division of Polynomials
5.7 Division of Polynomials
Problem Recognition Exercises-Operations on Polynomials
Chapter 6: Factoring Polynomials
6.1 Greatest Common Factor and Factoring by Grouping6.2 Factoring Trinomials of the Form x^2 + bx + c6.3 Factoring Trinomials: Trial-and-Error Method6.4 Factoring Trinomials: AC-Method6.5 Difference of Squares and Perfect Square Trinomials6.6 Sum and Difference of Cubes
6.2 Factoring Trinomials of the Form x^2 + bx + c6.3 Factoring Trinomials: Trial-and-Error Method6.4 Factoring Trinomials: AC-Method6.5 Difference of Squares and Perfect Square Trinomials6.6 Sum and Difference of Cubes
6.4 Factoring Trinomials: AC-Method6.5 Difference of Squares and Perfect Square Trinomials6.6 Sum and Difference of Cubes
6.6 Sum and Difference of Cubes
Problem Recognition Exercises-Factoring Strategy
6.7 Solving Equations Using the Zero Product Rule
Problem Recognition Exercises-Polynomial Expressions and Polynomial Equations
6.8 Applications of Quadratic EquationsChapter 7: Rational Expressions and Equations
7.1 Introduction of Rational Expressions7.2 Multiplication and Division of Rational Expressions7.3 Least Common Denominator7.4 Addition and Subtraction of Rational Expressions
Chapter 7: Rational Expressions and Equations
7.1 Introduction of Rational Expressions7.2 Multiplication and Division of Rational Expressions7.3 Least Common Denominator7.4 Addition and Subtraction of Rational Expressions
7.2 Multiplication and Division of Rational Expressions7.3 Least Common Denominator7.4 Addition and Subtraction of Rational Expressions
7.3 Least Common Denominator7.4 Addition and Subtraction of Rational Expressions
7.4 Addition and Subtraction of Rational Expressions
Problem Recognition Exercises-Operations of Rational Expressions
7.5 Complex Fractions7.6 Rational Equations
7.6 Rational Equations
Problem Recognition Exercises-Comparing Rational Equations and Rational Expressions
7.7 Applications of Rational Equations and ProportionsChapter 8: Relations and Functions
8.1 Introduction of Relations8.2 Introduction of Functions8.3 Graphs of Functions
Chapter 8: Relations and Functions
8.1 Introduction of Relations8.2 Introduction of Functions8.3 Graphs of Functions
8.2 Introduction of Functions8.3 Graphs of Functions
8.3 Graphs of Functions
Problem Recognition Exercises: Characteristics of Relations
8.4 Alebra of Functions and Composition8.5 VariationChapter 9: More Equations and Inequalities9.1 Compound Inequalities9.2 Polynomial and Rational Enequalities9.3 Absolute Value Equations9.4 Absolute Value Inequalities
8.5 VariationChapter 9: More Equations and Inequalities9.1 Compound Inequalities9.2 Polynomial and Rational Enequalities9.3 Absolute Value Equations9.4 Absolute Value Inequalities
Chapter 9: More Equations and Inequalities9.1 Compound Inequalities9.2 Polynomial and Rational Enequalities9.3 Absolute Value Equations9.4 Absolute Value Inequalities
9.1 Compound Inequalities9.2 Polynomial and Rational Enequalities9.3 Absolute Value Equations9.4 Absolute Value Inequalities
9.2 Polynomial and Rational Enequalities9.3 Absolute Value Equations9.4 Absolute Value Inequalities
9.3 Absolute Value Equations9.4 Absolute Value Inequalities
9.4 Absolute Value Inequalities
Problem Recognition Exercises: Equations and Inequalities
9.5 Linear and Compound Inequalities in Two VariablesChapter 10: Radicals and Complex Numbers10.1 Definition of an nth Root10.2 Rational Exponents10.3 Simplifying Radical Expressions10.4 Addition and Subtraction of Radicals10.5 Multiplication of Radical
Chapter 10: Radicals and Complex Numbers10.1 Definition of an nth Root10.2 Rational Exponents10.3 Simplifying Radical Expressions10.4 Addition and Subtraction of Radicals10.5 Multiplication of Radical
10.1 Definition of an nth Root10.2 Rational Exponents10.3 Simplifying Radical Expressions10.4 Addition and Subtraction of Radicals10.5 Multiplication of Radical
10.2 Rational Exponents10.3 Simplifying Radical Expressions10.4 Addition and Subtraction of Radicals10.5 Multiplication of Radical
10.3 Simplifying Radical Expressions10.4 Addition and Subtraction of Radicals10.5 Multiplication of Radical
10.4 Addition and Subtraction of Radicals10.5 Multiplication of Radical
10.5 Multiplication of Radical
Problem Recognition Exercises: Simplifying Radical Expressions
10.6 Division of Radicals and Rationalization10.7 Solving Radical Equations10.8 Complex NumbersChapter 11: Quadratic Equations, Functions and Inequalities11.1 Square Root Property and Completing the Square11.2 Quadratic Formula11.3 Equations in Quadratic Form
10.7 Solving Radical Equations10.8 Complex NumbersChapter 11: Quadratic Equations, Functions and Inequalities11.1 Square Root Property and Completing the Square11.2 Quadratic Formula11.3 Equations in Quadratic Form
10.8 Complex NumbersChapter 11: Quadratic Equations, Functions and Inequalities11.1 Square Root Property and Completing the Square11.2 Quadratic Formula11.3 Equations in Quadratic Form
Chapter 11: Quadratic Equations, Functions and Inequalities11.1 Square Root Property and Completing the Square11.2 Quadratic Formula11.3 Equations in Quadratic Form
11.1 Square Root Property and Completing the Square11.2 Quadratic Formula11.3 Equations in Quadratic Form
11.2 Quadratic Formula11.3 Equations in Quadratic Form
11.3 Equations in Quadratic Form
Problem Recognition Exercises: Quadratic and Quadratic Type Equations
11.4 Graphs of Quadratic Functions11.5 Vertex of a Parabola: Applications and ModelingChapter 12: Exponential and Logarithmic Functions and Applications12.1 Inverse Functions12.2 Exponential Functions12.3 Logarithmic Functions
11.5 Vertex of a Parabola: Applications and ModelingChapter 12: Exponential and Logarithmic Functions and Applications12.1 Inverse Functions12.2 Exponential Functions12.3 Logarithmic Functions
Chapter 12: Exponential and Logarithmic Functions and Applications12.1 Inverse Functions12.2 Exponential Functions12.3 Logarithmic Functions
12.1 Inverse Functions12.2 Exponential Functions12.3 Logarithmic Functions
12.2 Exponential Functions12.3 Logarithmic Functions
12.3 Logarithmic Functions
Problem Recognition Exercises: Logarithmic and Exponential Forms
12.4 Properties of Logarithms12.5 The Irrational Number and change of Base12.6 Logarithmic and Exponential Equations and ApplicationsChapter 13: Conic Sections13.1 Distance Formula, Midpoint Formula, and Circles13.2 More on the Parabola13.3 The Ellipse and Hyperbola
12.5 The Irrational Number and change of Base12.6 Logarithmic and Exponential Equations and ApplicationsChapter 13: Conic Sections13.1 Distance Formula, Midpoint Formula, and Circles13.2 More on the Parabola13.3 The Ellipse and Hyperbola
12.6 Logarithmic and Exponential Equations and ApplicationsChapter 13: Conic Sections13.1 Distance Formula, Midpoint Formula, and Circles13.2 More on the Parabola13.3 The Ellipse and Hyperbola
Chapter 13: Conic Sections13.1 Distance Formula, Midpoint Formula, and Circles13.2 More on the Parabola13.3 The Ellipse and Hyperbola
13.1 Distance Formula, Midpoint Formula, and Circles13.2 More on the Parabola13.3 The Ellipse and Hyperbola
13.2 More on the Parabola13.3 The Ellipse and Hyperbola
13.3 The Ellipse and Hyperbola
Problem Recognition Exercises: Formulas and Conic Sections
13.4 Nonlinear Systems of Equation in Two Variables13.5 Nonlinear Inequalities and Systems of InequalitiesChapter 14: Binomial Expansions, Sequences, and Series14.1 Binomial Expansions14.2 Sequences and Series14.3 Arithmetic Sequences and Series14.4 Geometric Sequences and Series
13.5 Nonlinear Inequalities and Systems of InequalitiesChapter 14: Binomial Expansions, Sequences, and Series14.1 Binomial Expansions14.2 Sequences and Series14.3 Arithmetic Sequences and Series14.4 Geometric Sequences and Series
Chapter 14: Binomial Expansions, Sequences, and Series14.1 Binomial Expansions14.2 Sequences and Series14.3 Arithmetic Sequences and Series14.4 Geometric Sequences and Series
14.1 Binomial Expansions14.2 Sequences and Series14.3 Arithmetic Sequences and Series14.4 Geometric Sequences and Series
14.2 Sequences and Series14.3 Arithmetic Sequences and Series14.4 Geometric Sequences and Series
14.3 Arithmetic Sequences and Series14.4 Geometric Sequences and Series
14.4 Geometric Sequences and Series
Problem Recognition Exercises: Identifying Arithmetic and Geometric Series
Additional Topics AppendixA.1 Mean, Median, and ModeA.2 Introduction to GeometryA.3 Solving Systems of Linear Equations Using MatricesA.4 Determinants and Cramer’s Rule
A.1 Mean, Median, and ModeA.2 Introduction to GeometryA.3 Solving Systems of Linear Equations Using MatricesA.4 Determinants and Cramer’s Rule
A.2 Introduction to GeometryA.3 Solving Systems of Linear Equations Using MatricesA.4 Determinants and Cramer’s Rule
A.3 Solving Systems of Linear Equations Using MatricesA.4 Determinants and Cramer’s Rule
A.4 Determinants and Cramer’s Rule
About the Author
Julie Miller
Julie Miller is from Daytona State College, where she has taught developmental and upper-level mathematics courses for 20 years. Prior to her work at Daytona State College, she worked as a software engineer for General Electric in the area of flight and radar simulation. Julie earned a bachelor of science in applied mathematics from Union College in Schenectady, New York, and a master of science in mathematics from the University of Florida. In addition to this textbook, she has authored several course supplements for college algebra, trigonometry, and precalculus, as well as several short works of fiction and nonfiction for young readers.
My father is a medical researcher, and I got hooked on math and science when I was young and would visit his laboratory. I can remember using graph paper to plot data points for his experiments and doing simple calculations. He would then tell me what the peaks and features in the graph meant in the context of his experiment. I think that applications and hands-on experience made math come alive for me and I’d like to see math come alive for my students.
Molly O'Neill
Molly ONeill is from Daytona State College, where she has taught for 22 years in the School of Mathematics. She has taught a variety of courses from developmental mathematics to calculus. Before she came to Florida, Molly taught as an adjunct instructor at the University of Michigan-Dearborn, Eastern Michigan University, Wayne State University, and Oakland Community College. Molly earned a bachelor of science in mathematics and a master of arts and teaching from Western Michigan University in Kalamazoo, Michigan. Besides this textbook, she has authored several course supplements for college algebra, trigonometry, and precalculus and has reviewed texts for developmental mathematics.
I differ from many of my colleagues in that math was not always easy for me. But in seventh grade I had a teacher who taught me that if I follow the rules of mathematics, even I could solve math problems. Once I understood this, I enjoyed math to the point of choosing it for my career. I now have the greatest job because I get to do math every day and I have the opportunity to influence my students just as I was influenced. Authoring these texts has given me another avenue to reach even more students.
Nancy Hyde
Nancy Hyde served as a full-time faculty member of the Mathematics Department at Broward College for 24 years. During this time she taught the full spectrum of courses from developmental math through differential equations. She received a bachelor of science degree in math education from Florida State University and a master’s degree in math education from Florida Atlantic University. She has conducted workshops and seminars for both students and teachers on the use of technology in the classroom. In addition to this textbook, she has authored a graphing calculator supplement for College Algebra. I grew up in Brevard County, Florida, where my father worked at Cape Canaveral. I was always excited by mathematics and physics in relation to the space program. As I studied higher levels of mathematics I became more intrigued by its abstract nature and infinite possibilities. It is enjoyable and rewarding to convey this perspective to students while helping them to understand mathematics.
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Integrated Video and Study Workbook for Beginning and Intermediate Algebra
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