Loose Leaf Version for Beginning & Intermediate Algebra
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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 Solving
2.5 Applications Involving Percents
2.6 Formulas and Applications of Geometry
2.7 Mixture Applications and Uniform Motion
2.8 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 and Rate of Change
3.4 Slope-Intercept Form of a Linear Equation
2.5 Applications Involving Percents
2.6 Formulas and Applications of Geometry
2.7 Mixture Applications and Uniform Motion
2.8 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 and Rate of Change
3.4 Slope-Intercept Form of a Linear Equation
2.6 Formulas and Applications of Geometry
2.7 Mixture Applications and Uniform Motion
2.8 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 and Rate of Change
3.4 Slope-Intercept Form of a Linear Equation
2.8 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 and Rate of Change
3.4 Slope-Intercept Form of a Linear Equation
3.2 Linear Equations in Two Variables
3.3 Slope of a Line and Rate of Change
3.4 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 Formula
Applications of Linear Equations
Chapter 4: Systems of Linear Equations
4.1 Solving Systems of Equations by the Graphing Method
4.2 Solving Systems of Equations by the Substitution Method
4.3 Solving Systems of Equations by the Addition Method
Applications of Linear Equations
Chapter 4: Systems of Linear Equations
4.1 Solving Systems of Equations by the Graphing Method
4.2 Solving Systems of Equations by the Substitution Method
4.3 Solving Systems of Equations by the Addition Method
4.2 Solving Systems of Equations by the Substitution Method
4.3 Solving Systems of Equations by the Addition Method
Problem Recognition Exercises: Systems of Equations
4.4 Applications of Linear Equations in Three Variables
4.5 Systems of Linear Equations in Three Variables
4.6 Applications of Systems of Linear Equations in Three Variables
Chapter 5: Polynomials and Properties of Exponents
5.1 Multiplying and Dividing Expressions with Common Bases
5.2 More Properties of Exponents
5.3 Definitions of b^0 and b^-n
4.5 Systems of Linear Equations in Three Variables
4.6 Applications of Systems of Linear Equations in Three Variables
Chapter 5: Polynomials and Properties of Exponents
5.1 Multiplying and Dividing Expressions with Common Bases
5.2 More Properties of Exponents
5.3 Definitions of b^0 and b^-n
Chapter 5: Polynomials and Properties of Exponents
5.1 Multiplying and Dividing Expressions with Common Bases
5.2 More Properties of Exponents
5.3 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 Notation
5.5 Addition and Subtraction of Polynomials
5.6 Multiplication of Polynomials
5.7 Division of Polynomials
5.5 Addition and Subtraction of Polynomials
5.6 Multiplication of Polynomials
5.7 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 Grouping
6.2 Factoring Trinomials of the Form x^2 + bx + c
6.3 Factoring Trinomials: Trial-and-Error Method
6.4 Factoring Trinomials: AC-Method
6.5 Difference of Squares and Perfect Square Trinomials
6.6 Sum and Difference of Cubes
6.2 Factoring Trinomials of the Form x^2 + bx + c
6.3 Factoring Trinomials: Trial-and-Error Method
6.4 Factoring Trinomials: AC-Method
6.5 Difference of Squares and Perfect Square Trinomials
6.6 Sum and Difference of Cubes
6.4 Factoring Trinomials: AC-Method
6.5 Difference of Squares and Perfect Square Trinomials
6.6 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 Equations
Chapter 7: Rational Expressions and Equations
7.1 Introduction of Rational Expressions
7.2 Multiplication and Division of Rational Expressions
7.3 Least Common Denominator
7.4 Addition and Subtraction of Rational Expressions
Chapter 7: Rational Expressions and Equations
7.1 Introduction of Rational Expressions
7.2 Multiplication and Division of Rational Expressions
7.3 Least Common Denominator
7.4 Addition and Subtraction of Rational Expressions
7.2 Multiplication and Division of Rational Expressions
7.3 Least Common Denominator
7.4 Addition and Subtraction of Rational Expressions
7.3 Least Common Denominator
7.4 Addition and Subtraction of Rational Expressions
7.4 Addition and Subtraction of Rational Expressions
Problem Recognition Exercises-Operations of Rational Expressions
7.5 Complex Fractions
7.6 Rational Equations
7.6 Rational Equations
Problem Recognition Exercises-Comparing Rational Equations and Rational Expressions
7.7 Applications of Rational Equations and Proportions
Chapter 8: Relations and Functions
8.1 Introduction of Relations
8.2 Introduction of Functions
8.3 Graphs of Functions
Chapter 8: Relations and Functions
8.1 Introduction of Relations
8.2 Introduction of Functions
8.3 Graphs of Functions
8.2 Introduction of Functions
8.3 Graphs of Functions
8.3 Graphs of Functions
Problem Recognition Exercises: Characteristics of Relations
8.4 Alebra of Functions and Composition
8.5 Variation
Chapter 9: More Equations and Inequalities
9.1 Compound Inequalities
9.2 Polynomial and Rational Enequalities
9.3 Absolute Value Equations
9.4 Absolute Value Inequalities
8.5 Variation
Chapter 9: More Equations and Inequalities
9.1 Compound Inequalities
9.2 Polynomial and Rational Enequalities
9.3 Absolute Value Equations
9.4 Absolute Value Inequalities
Chapter 9: More Equations and Inequalities
9.1 Compound Inequalities
9.2 Polynomial and Rational Enequalities
9.3 Absolute Value Equations
9.4 Absolute Value Inequalities
9.1 Compound Inequalities
9.2 Polynomial and Rational Enequalities
9.3 Absolute Value Equations
9.4 Absolute Value Inequalities
9.2 Polynomial and Rational Enequalities
9.3 Absolute Value Equations
9.4 Absolute Value Inequalities
9.3 Absolute Value Equations
9.4 Absolute Value Inequalities
9.4 Absolute Value Inequalities
Problem Recognition Exercises: Equations and Inequalities
9.5 Linear and Compound Inequalities in Two Variables
Chapter 10: Radicals and Complex Numbers
10.1 Definition of an nth Root
10.2 Rational Exponents
10.3 Simplifying Radical Expressions
10.4 Addition and Subtraction of Radicals
10.5 Multiplication of Radical
Chapter 10: Radicals and Complex Numbers
10.1 Definition of an nth Root
10.2 Rational Exponents
10.3 Simplifying Radical Expressions
10.4 Addition and Subtraction of Radicals
10.5 Multiplication of Radical
10.1 Definition of an nth Root
10.2 Rational Exponents
10.3 Simplifying Radical Expressions
10.4 Addition and Subtraction of Radicals
10.5 Multiplication of Radical
10.2 Rational Exponents
10.3 Simplifying Radical Expressions
10.4 Addition and Subtraction of Radicals
10.5 Multiplication of Radical
10.3 Simplifying Radical Expressions
10.4 Addition and Subtraction of Radicals
10.5 Multiplication of Radical
10.4 Addition and Subtraction of Radicals
10.5 Multiplication of Radical
10.5 Multiplication of Radical
Problem Recognition Exercises: Simplifying Radical Expressions
10.6 Division of Radicals and Rationalization
10.7 Solving Radical Equations
10.8 Complex Numbers
Chapter 11: Quadratic Equations, Functions and Inequalities
11.1 Square Root Property and Completing the Square
11.2 Quadratic Formula
11.3 Equations in Quadratic Form
10.7 Solving Radical Equations
10.8 Complex Numbers
Chapter 11: Quadratic Equations, Functions and Inequalities
11.1 Square Root Property and Completing the Square
11.2 Quadratic Formula
11.3 Equations in Quadratic Form
10.8 Complex Numbers
Chapter 11: Quadratic Equations, Functions and Inequalities
11.1 Square Root Property and Completing the Square
11.2 Quadratic Formula
11.3 Equations in Quadratic Form
Chapter 11: Quadratic Equations, Functions and Inequalities
11.1 Square Root Property and Completing the Square
11.2 Quadratic Formula
11.3 Equations in Quadratic Form
11.1 Square Root Property and Completing the Square
11.2 Quadratic Formula
11.3 Equations in Quadratic Form
11.2 Quadratic Formula
11.3 Equations in Quadratic Form
11.3 Equations in Quadratic Form
Problem Recognition Exercises: Quadratic and Quadratic Type Equations
11.4 Graphs of Quadratic Functions
11.5 Vertex of a Parabola: Applications and Modeling
Chapter 12: Exponential and Logarithmic Functions and Applications
12.1 Inverse Functions
12.2 Exponential Functions
12.3 Logarithmic Functions
11.5 Vertex of a Parabola: Applications and Modeling
Chapter 12: Exponential and Logarithmic Functions and Applications
12.1 Inverse Functions
12.2 Exponential Functions
12.3 Logarithmic Functions
Chapter 12: Exponential and Logarithmic Functions and Applications
12.1 Inverse Functions
12.2 Exponential Functions
12.3 Logarithmic Functions
12.1 Inverse Functions
12.2 Exponential Functions
12.3 Logarithmic Functions
12.2 Exponential Functions
12.3 Logarithmic Functions
12.3 Logarithmic Functions
Problem Recognition Exercises: Logarithmic and Exponential Forms
12.4 Properties of Logarithms
12.5 The Irrational Number and change of Base
12.6 Logarithmic and Exponential Equations and Applications
Chapter 13: Conic Sections
13.1 Distance Formula, Midpoint Formula, and Circles
13.2 More on the Parabola
13.3 The Ellipse and Hyperbola
12.5 The Irrational Number and change of Base
12.6 Logarithmic and Exponential Equations and Applications
Chapter 13: Conic Sections
13.1 Distance Formula, Midpoint Formula, and Circles
13.2 More on the Parabola
13.3 The Ellipse and Hyperbola
12.6 Logarithmic and Exponential Equations and Applications
Chapter 13: Conic Sections
13.1 Distance Formula, Midpoint Formula, and Circles
13.2 More on the Parabola
13.3 The Ellipse and Hyperbola
Chapter 13: Conic Sections
13.1 Distance Formula, Midpoint Formula, and Circles
13.2 More on the Parabola
13.3 The Ellipse and Hyperbola
13.1 Distance Formula, Midpoint Formula, and Circles
13.2 More on the Parabola
13.3 The Ellipse and Hyperbola
13.2 More on the Parabola
13.3 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 Variables
13.5 Nonlinear Inequalities and Systems of Inequalities
Chapter 14: Binomial Expansions, Sequences, and Series
14.1 Binomial Expansions
14.2 Sequences and Series
14.3 Arithmetic Sequences and Series
14.4 Geometric Sequences and Series
13.5 Nonlinear Inequalities and Systems of Inequalities
Chapter 14: Binomial Expansions, Sequences, and Series
14.1 Binomial Expansions
14.2 Sequences and Series
14.3 Arithmetic Sequences and Series
14.4 Geometric Sequences and Series
Chapter 14: Binomial Expansions, Sequences, and Series
14.1 Binomial Expansions
14.2 Sequences and Series
14.3 Arithmetic Sequences and Series
14.4 Geometric Sequences and Series
14.1 Binomial Expansions
14.2 Sequences and Series
14.3 Arithmetic Sequences and Series
14.4 Geometric Sequences and Series
14.2 Sequences and Series
14.3 Arithmetic Sequences and Series
14.4 Geometric Sequences and Series
14.3 Arithmetic Sequences and Series
14.4 Geometric Sequences and Series
14.4 Geometric Sequences and Series
Problem Recognition Exercises: Identifying Arithmetic and Geometric Series
Additional Topics Appendix
A.1 Mean, Median, and Mode
A.2 Introduction to Geometry
A.3 Solving Systems of Linear Equations Using Matrices
A.4 Determinants and Cramer’s Rule
A.1 Mean, Median, and Mode
A.2 Introduction to Geometry
A.3 Solving Systems of Linear Equations Using Matrices
A.4 Determinants and Cramer’s Rule
A.2 Introduction to Geometry
A.3 Solving Systems of Linear Equations Using Matrices
A.4 Determinants and Cramer’s Rule
A.3 Solving Systems of Linear Equations Using Matrices
A.4 Determinants and Cramer’s Rule
A.4 Determinants and Cramer’s Rule
The Miller/O'Neill/Hyde author team continues to offer an enlightened approach grounded in the fundamentals of classroom experience in Beginning and Intermediate Algebra 4e. The text reflects the compassion and insight of its experienced author team with features developed to address the specific needs of developmental level students. Throughout the text, the authors communicate to students the very points their instructors are likely to make during lecture, and this helps to reinforce the concepts and provide instruction that leads students to mastery and success. Also included are Problem Recognition Exercises, designed to help students recognize which solution strategies are most appropriate for a given exercise. These types of exercises, along with the number of practice problems and group activities available, permit instructors to choose from a wealth of problems, allowing ample opportunity for students to practice what they learn in lecture to hone their skills. In this way, the book perfectly complements any learning platform, whether traditional lecture or distance-learning; its instruction is so reflective of what comes from lecture, that students will feel as comfortable outside of class as they do inside class with their instructor.