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# Intermediate Algebra: Concepts and Applications 10th Edition by Marvin Bittinger, ISBN-13: 978-0134497174

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Intermediate Algebra: Concepts and Applications 10th Edition by Marvin Bittinger, ISBN-13: 978-0134497174

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• Publisher: ‎ Pearson; 10th edition (February 17, 2017)
• Language: ‎ English
• 848 pages
• ISBN-10: 0134497171
• ISBN-13: ‎ 978-0134497174

For courses in Intermediate Algebra.

Understanding and Applying Mathematical Concepts.

The goal of the Bittinger Concepts and Applications Series is to help today’s student learn and retain mathematical concepts. This proven program prepares students for the transition from skills-oriented elementary algebra courses to more concept-oriented college-level mathematics courses. This requires the development of critical-thinking skills: to reason mathematically, to communicate mathematically, and to identify and solve mathematical problems.

Contents
A Key to the Icons in the Exercise Sets
Preface
Understanding and Applying Concepts
Guided Learning Path
Resources for Success
Chapter 1 Algebra and Problem Solving
1.1 Some Basics of Algebra
A. Translating to Algebraic Expressions
Solution
B. Evaluating Algebraic Expressions
Solution
Solution
Solution
C. Sets of Numbers
Solution
Solution
Solution
1.1 Exercise Set for Extra Help
A. Translating to Algebraic Expressions
B. Evaluating Algebraic Expressions
C. Sets of Numbers
Synthesis
1.2 Operations and Properties of Real Numbers
A. Absolute Value
Solution
B. Inequalities
Solution
Solution
Solution
Solution
Solution
D. Multiplication, Division, and Reciprocals
Solution
Solution
Solution
Solution
Solution
Solution
E. The Commutative, Associative, and Distributive Laws
Solution
Solution
Solution
Solution
1.2 Exercise Set for Extra Help
A. Absolute Value
B. Inequalities
D. Multiplication, Division, and Reciprocals
C, D. Real-Number Operations
E. The Commutative, Associative, and Distributive Laws
Synthesis
1.3 Solving Equations
A. Equivalent Equations
Solution
Solution
B. The Addition and Multiplication Principles
Solution
Solution
C. Combining Like Terms
Solution
Solution
Solution
Solution
Solution
D. Types of Equations
Solution
1.3 Exercise Set for Extra Help
Concept Reinforcement
A. Equivalent Equations
B. The Addition and Multiplication Principles
C. Combining Like Terms
A, B, C. Solving Linear Equations
D. Types of Equations
Synthesis
Mid-Chapter Review
Guided Solutions
Solution
Solution
Mixed Review
1.4 Introduction to Problem Solving
A. The Five-Step Strategy
B. Problem Solving
Solution
Solution
Solution
1.4 Exercise Set for Extra Help
A. The Five-Step Strategy
B. Problem Solving
Synthesis
1.5 Formulas, Models, and Geometry
A. Solving Formulas
Solution
Solution
Solution
B. Formulas as Models
Solution
Solution
1.5 Exercise Set for Extra Help
A. Solving Formulas
B. Formulas as Models
Synthesis
1.6 Properties of Exponents
A. The Product Rule and the Quotient Rule
Solution
Solution
B. The Zero Exponent
Solution
C. Negative Integers as Exponents
Solution
Solution
Solution
Solution
D. Simplifying (am)n
Solution
E. Raising a Product or a Quotient to a Power
Solution
Solution
1.6 Exercise Set for Extra Help
A. The Product Rule and the Quotient Rule
B. The Zero Exponent
C. Negative Integers as Exponents
D. Simplifying (am)n
E. Raising a Product or a Quotient to a Power
Synthesis
1.7 Scientific Notation
A. Conversions
Solution
Solution
Solution
Solution
B. Multiplying, Dividing, and Significant Digits
Solution
Solution
C. Scientific Notation in Problem Solving
Solution
Solution
1.7 Exercise Set for Extra Help
Concept Reinforcement
A. Conversions
B. Multiplying, Dividing, and Significant Digits
C. Scientific Notation in Problem Solving
Synthesis
Chapter 1 Resources
Translating for Success
Decision Making Connection (Use after Section 1.5.)
Study Summary
Review Exercises: Chapter 1
Concept Reinforcement
Synthesis
Test: Chapter 1
Synthesis
Chapter 2 Graphs, Functions, and Linear Equations
2.1 Graphs
A. Points and Ordered Pairs
Solution
Solution
C. Solutions of Equations
Solution
Solution
Solution
Solution
D. Nonlinear Equations
Solution
Solution
2.1 Exercise Set for Extra Help
A. Points and Ordered Pairs
C. Solutions of Equations
D. Nonlinear Equations
Skill Review
Synthesis
2.2 Functions
A. Domain and Range
Solution
Solution
Solution
B. Function Notation and Graphs
Solution
Solution
C. Function Notation and Equations
Solution
Solution
Solution
D. Piecewise-Defined Functions
Solution
2.2 Exercise Set for Extra Help
A. Domain and Range
B. Function Notation and Graphs
C. Function Notation and Equations
D. Piecewise-Defined Functions
Skill Review
Synthesis
2.3 Linear Functions: Slope, Graphs, and Models
A. Slope–Intercept Form
Solution
Solution
Solution
Solution
Solution
Solution
Solution
Solution
B. Applications
Solution
Solution
Solution
Solution
2.3 Exercise Set for Extra Help
A. Slope–Intercept Form
B. Applications
Skill Review
Synthesis
2.4 Another Look at Linear Graphs
A. Graphing Horizontal Lines and Vertical Lines
Solution
Solution
Solution
B. Parallel Lines and Perpendicular Lines
Solution
Solution
C. Graphing Using Intercepts
Solution
Solution
D. Solving Equations Graphically
Solution
Solution
E. Recognizing Linear Equations
Solution
2.4 Exercise Set for Extra Help
A. Graphing Horizontal Lines and Vertical Lines
B. Parallel Lines and Perpendicular Lines
C. Graphing Using Intercepts
D. Solving Equations Graphically
E. Recognizing Linear Equations
Skill Review
Synthesis
Mid-Chapter Review
Guided Solutions
Solution
Solution
Mixed Review
2.5 Equations of Lines and Modeling
A. Point–Slope Form
Solution
Solution
B. Finding the Equation of a Line
Given the Slope and the y-Intercept
Solution
Given the Slope and a Point or Given Two Points
Solution
Solution
Solution
Horizontal Lines or Vertical Lines
Solution
C. Interpolation and Extrapolation
Solution
D. Linear Functions and Models
Solution
2.5 Exercise Set for Extra Help
A. Point–Slope Form
B. Finding the Equation of a Line
C. Interpolation and Extrapolation
D. Linear Functions and Models
Skill Review
Synthesis
2.6 The Algebra of Functions
A. The Sum, Difference, Product, or Quotient of Two Functions
Solution
Solution
B. Domains and Graphs
Solution
Solution
2.6 Exercise Set for Extra Help
A. The Sum, Difference, Product, or Quotient of Two Functions
B. Domains and Graphs
Skill Review
Synthesis
Chapter 2 Resources
Visualizing for Success
Decision Making Connection (Use after Section 2.6.)
Study Summary
Review Exercises: Chapter 2
Concept Reinforcement
Synthesis
Test: Chapter 2
Synthesis
Cumulative Review: Chapters 1–2
Synthesis
Chapter 3 Systems of Linear Equations and Problem Solving
3.1 Systems of Equations in Two Variables
A. Translating
Solution
Solution
B. Identifying Solutions
Solution
C. Solving Systems Graphically
Solution
3.1 Exercise Set For Extra Help
B. Identifying Solutions
C. Solving Systems Graphically
A. Translating
Skill Review
Synthesis
3.2 Solving by Substitution or Elimination
A. The Substitution Method
Solution
Solution
Solution
B. The Elimination Method
Solution
Solution
Solution
Solution
Solution
3.2 Exercise Set For Extra Help
Concept Reinforcement
A. The Substitution Method
B. The Elimination Method
A, B. The Substitution and Elimination Methods
Skill Review
Synthesis
3.3 Solving Applications: Systems of Two Equations
A. Applications
Solution
B. Total-Value Problems and Mixture Problems
Solution
Solution
Solution
Solution
C. Motion Problems
Solution
Solution
3.3 Exercise Set For Extra Help
A. Applications
B. Total-Value Problems and Mixture Problems
C. Motion Problems
A. Applications
Skill Review
Synthesis
3.4 Systems of Equations in Three Variables
A. Identifying Solutions
Solution
B. Solving Systems in Three Variables
Solution
Solution
Solution
C. Dependency, Inconsistency, and Geometric Considerations
Solution
Solution
3.4 Exercise Set For Extra Help
A. Identifying Solutions
B, C. Solving Systems in Three Variables
Skill Review
Synthesis
Mid-Chapter Review
Guided Solutions
Solution
Solution
Mixed Review
3.5 Solving Applications: Systems of Three Equations
A. Applications of Three Equations in Three Unknowns
Solution
Solution
Solution
3.5 Exercise Set For Extra Help
A. Applications of Three Equations in Three Unknowns
Skill Review
Synthesis
3.6 Elimination Using Matrices
A. Matrices and Systems
Solution
Solution
3.6 Exercise Set For Extra Help
A. Matrices and Systems
Skill Review
Synthesis
3.7 Determinants and Cramer’s Rule
A. Determinants of 2 × 2 Matrices
Solution
B. Cramer’s Rule: 2 × 2 Systems
Solution
C. Determinants of 3 × 3 Matrices
Solution
D. Cramer’s Rule: 3 × 3 Systems
Solution
3.7 Exercise Set For Extra Help
A, C. Determinants
B, D. Cramer’s Rule
Skill Review
Synthesis
A. Break-Even Analysis
Solution
B. Supply and Demand
Solution
3.8 Exercise Set For Extra Help
A. Break-Even Analysis
B. Supply and Demand
Skill Review
Synthesis
Chapter 3 Resources
Visualizing for Success
Decision Making Connection (Use after Section 3.8.)
Study Summary
Review Exercises: Chapter 3
Concept Reinforcement
Synthesis
Test: Chapter 3
Synthesis
Cumulative Review: Chapters 1–3
Synthesis
Chapter 4 Inequalities and Problem Solving
4.1 Inequalities and Applications
A. Solutions of Inequalities
Solution
B. Interval Notation
Solution
C. The Addition Principle for Inequalities
Solution
D. The Multiplication Principle for Inequalities
Solution
E. Using the Principles Together
Solution
Solution
F. Problem Solving
Solution
Solution
4.1 Exercise Set for Extra Help
Concept Reinforcement
A. Solutions of Inequalities
B. Interval Notation
C. The Addition Principle for Inequalities
D. The Multiplication Principle for Inequalities
E. Using the Principles Together
F. Problem Solving
Skill Review
Synthesis
4.2 Intersections, Unions, and Compound Inequalities
A. Intersections of Sets and Conjunctions of Sentences
Solution
Solution
Solution
Solution
Solution
B. Unions of Sets and Disjunctions of Sentences
Solution
Solution
Solution
Solution
C. Interval Notation and Domains
Solution
Solution
4.2 Exercise Set for Extra Help
Concept Reinforcement
A, B. Intersections of Sets and Unions of Sets
A, B. Conjunctions of Sentences and Disjunctions of Sentences
C. Interval Notation and Domains
Skill Review
Synthesis
4.3 Absolute-Value Equations and Inequalities
A. Equations with Absolute Value
Solution
Solution
Solution
Solution
Method 1
Method 2
Solution
B. Inequalities with Absolute Value
Solution
Solution
Solution
Solution
4.3 Exercise Set for Extra Help
Concept Reinforcement
A. Equations with Absolute Value
B. Inequalities with Absolute Value
Skill Review
Synthesis
Mid-Chapter Review
Guided Solutions
Solution
Solution
Mixed Review
4.4 Inequalities in Two Variables
A. Graphs of Linear Inequalities
Solution
Solution
Solution
Solution
Solution
Solution
B. Systems of Linear Inequalities
Solution
Solution
Solution
4.4 Exercise Set for Extra Help
A. Graphs of Linear Inequalities
B. Systems of Linear Inequalities
Skill Review
Synthesis
4.5 Applications Using Linear Programming
A. Linear Programming
Solution
Solution
4.5 Exercise Set for Extra Help
A. Linear Programming
Skill Review
Synthesis
Chapter 4 Resources
Visualizing for Success
Decision Making Connection (Use after Section 4.1.)
Study Summary
Review Exercises: Chapter 4
Concept Reinforcement
Synthesis
Test: Chapter 4
Synthesis
Cumulative Review: Chapters 1–4
Synthesis
Chapter 5 Polynomials and Polynomial Functions
5.1 Introduction to Polynomials and Polynomial Functions
A. Terms and Polynomials
Solution
B. Degree and Coefficients
Solution
Solution
Solution
Solution
C. Polynomial Functions
Solution
Solution
Solution
Solution
Solution
Solution
E. Opposites and Subtraction
Solution
Solution
Solution
5.1 Exercise Set For Extra Help
A. Terms and Polynomials
B. Degree and Coefficients
C. Polynomial Functions
E. Opposites and Subtraction
Skill Review
Synthesis
5.2 Multiplication of Polynomials
A. Multiplying Monomials
Solution
B. Multiplying Monomials and Binomials
Solution
Solution
C. Multiplying Any Two Polynomials
Solution
Solution
D. The Product of Two Binomials: FOIL
Solution
E. Squares of Binomials
Solution
F. Products of Sums and Differences
Solution
Solution
G. Function Notation
Solution
5.2 Exercise Set For Extra Help
A. Multiplying Monomials
B. Multiplying Monomials and Binomials
C. Multiplying Any Two Polynomials
D. The Product of Two Binomials: FOIL
E. Squares of Binomials
F. Products of Sums and Differences
C, D, E, F. Multiplying Polynomials
G. Function Notation
Skill Review
Synthesis
5.3 Common Factors and Factoring by Grouping
A. Terms with Common Factors
Solution
Solution
Solution
Solution
B. Factoring by Grouping
Solution
Solution
Solution
5.3 Exercise Set For Extra Help
A. Terms with Common Factors
B. Factoring by Grouping
Skill Review
Synthesis
5.4 Factoring Trinomials
A. Factoring Trinomials of the Type x2 + bx + c
Constant Term Positive
Solution
Solution
Constant Term Negative
Solution
Solution
Solution
Solution
B. Factoring Trinomials of the Type ax2 + bx + c, a ≠ 1
Method 1: Factoring with FOIL
Solution
Solution
Method 2: The Grouping Method
Solution
Solution
5.4 Exercise Set For Extra Help
A. Factoring Trinomials of the Type x2 + bx + c
B. Factoring Trinomials of the Type ax2 + bx + c, a ≠ 1
Skill Review
Synthesis
Mid-Chapter Review
Guided Solutions
Mixed Review
5.5 Factoring Perfect-Square Trinomials and Differences of Squares
A. Perfect-Square Trinomials
Solution
Solution
Solution
B. Differences of Squares
Solution
Solution
C. More Factoring by Grouping
Solution
Solution
5.5 Exercise Set For Extra Help
A. Perfect-Square Trinomials
B. Differences of Squares
C. More Factoring by Grouping
Skill Review
Synthesis
5.6 Factoring Sums or Differences of Cubes
A. Factoring Sums or Differences of Cubes
Solution
Solution
5.6 Exercise Set For Extra Help
A. Factoring Sums or Differences of Cubes
Skill Review
Synthesis
5.7 Factoring: A General Strategy
A. Mixed Factoring
Solution
Solution
Solution
Solution
Solution
Solution
Solution
Solution
5.7 Exercise Set For Extra Help
Concept Reinforcement
A. Mixed Factoring
Skill Review
Synthesis
5.8 Applications of Polynomial Equations
A. The Principle of Zero Products
Solution
Solution
Solution
Solution
Solution
B. Problem Solving
Solution
Solution
Solution
5.8 Exercise Set For Extra Help
A. The Principle of Zero Products
B. Problem Solving
Skill Review
Synthesis
Chapter 5 Resources
Visualizing for Success
Decision Making Connection (Use after Section 5.8.)
Study Summary
Review Exercises: Chapter 5
Concept Reinforcement
Synthesis
Test: Chapter 5
Synthesis
Cumulative Review: Chapters 1–5
Synthesis
Chapter 6 Rational Expressions, Equations, and Functions
6.1 Rational Expressions and Functions: Multiplying and Dividing
A. Rational Functions
Solution
B. Simplifying Rational Expressions and Functions
Solution
Solution
Solution
Solution
Solution
Canceling
C. Multiplying and Simplifying
Solution
Solution
D. Dividing and Simplifying
Solution
Solution
6.1 Exercise Set for Extra Help
Concept Reinforcement
A. Rational Functions
B. Simplifying Rational Expressions and Functions
C. Multiplying and Simplifying
D. Dividing and Simplifying
C, D. Multiplying and Dividing
Skill Review
Synthesis
6.2 Rational Expressions and Functions: Adding and Subtracting
A. When Denominators Are the Same
Solution
Solution
Solution
B. When Denominators Are Different
Solution
Solution
Solution
Solution
Solution
Solution
Solution
6.2 Exercise Set for Extra Help
A. When Denominators Are the Same
B. When Denominators Are Different
Skill Review
Synthesis
6.3 Complex Rational Expressions
A. Method 1: Multiplying by 1
Solution
Solution
Solution
B. Method 2: Dividing Two Rational Expressions
Solution
Solution
Solution
6.3 Exercise Set for Extra Help
A, B. Simplifying Complex Rational Expressions
Skill Review
Synthesis
6.4 Rational Equations
A. Solving Rational Equations
Solution
Solution
Solution
Solution
Solution
6.4 Exercise Set for Extra Help
Concept Reinforcement
A. Solving Rational Equations
Skill Review
Synthesis
Mid-Chapter Review
Guided Solutions
Solution
Solution
Mixed Review
6.5 Solving Applications Using Rational Equations
A. Problems Involving Work
Solution
Solution
B. Problems Involving Motion
Solution
Solution
6.5 Exercise Set for Extra Help
Concept Reinforcement
A. Problems Involving Work
B. Problems Involving Motion
Skill Review
Synthesis
6.6 Division of Polynomials
A. Dividing by a Monomial
Solution
Solution
B. Dividing by a Polynomial
Solution
Solution
Solution
Solution
6.6 Exercise Set for Extra Help
A. Dividing by a Monomial
B. Dividing by a Polynomial
Skill Review
Synthesis
6.7 Synthetic Division and the Remainder Theorem
A. Synthetic Division
Solution
Solution
B. The Remainder Theorem
Solution
6.7 Exercise Set for Extra Help
A. Synthetic Division
B. The Remainder Theorem
Skill Review
Synthesis
6.8 Formulas, Applications, and Variation
A. Formulas
Solution
Solution
Solution
B. Direct Variation
Solution
C. Inverse Variation
D. Joint Variation and Combined Variation
Solution
6.8 Exercise Set for Extra Help
Concept Reinforcement
A. Formulas
B. Direct Variation
C. Inverse Variation
B, C. Direct Variation and Inverse Variation
D. Joint Variation and Combined Variation
Skill Review
Synthesis
Chapter 6 Resources
Visualizing for Success
Decision Making Connection (Use after Section 6.8.)
Study Summary
Review Exercises: Chapter 6
Concept Reinforcement
Synthesis
Test: Chapter 6
Cumulative Review: Chapters 1–6
Synthesis
A. Square Roots and Square-Root Functions
Solution
Solution
Solution
B. Expressions of the Form
Solution
Solution
Solution
C. Cube Roots
Solution
Solution
D. Odd and Even nth Roots
Solution
Solution
Solution
7.1 Exercise Set for Extra Help
A. Square Roots and Square-Root Functions
B. Expressions of the Form
C. Cube Roots
D. Odd and Even nth Roots
Skill Review
Synthesis
7.2 Rational Numbers as Exponents
A. Rational Exponents
Solution
Solution
Solution
Solution
B. Negative Rational Exponents
Solution
C. Laws of Exponents
Solution
7.2 Exercise Set for Extra Help
Concept Reinforcement
A. Rational Exponents
B. Negative Rational Exponents
C. Laws of Exponents
Skill Review
Synthesis
Solution
B. Simplifying by Factoring
Solution
Solution
Solution
C. Multiplying and Simplifying
Solution
7.3 Exercise Set for Extra Help
B. Simplifying by Factoring
C. Multiplying and Simplifying
Skill Review
Synthesis
A. Dividing and Simplifying
Solution
Solution
Solution
B. Rationalizing Denominators or Numerators with One Term*
Solution
Solution
Solution
7.4 Exercise Set for Extra Help
Concept Reinforcement
A. Dividing and Simplifying
B. Rationalizing Denominators or Numerators with One Term
Skill Review
Synthesis
7.5 Expressions Containing Several Radical Terms
Solution
Solution
Solution
B. Products of Two or More Radical Terms
Solution
C. Rationalizing Denominators or Numerators with Two Terms
Solution
Solution
D. Terms with Differing Indices
Solution
Solution
Solution
Solution
7.5 Exercise Set for Extra Help
B. Products of Two or More Radical Terms
C. Rationalizing Denominators or Numerators with Two Terms
D. Terms with Differing Indices
B. Products of Two or More Radical Terms
Skill Review
Synthesis
Mid-Chapter Review
Guided Solutions
Solution
Solution
Mixed Review
A. The Principle of Powers
Solution
Solution
Solution
Solution
B. Equations with Two Radical Terms
Solution
Solution
7.6 Exercise Set For Extra Help
Concept Reinforcement
A. The Principle of Powers
B. Equations with Two Radical Terms
Skill Review
Synthesis
7.7 The Distance Formula, the Midpoint Formula, and Other Applications
A. Using the Pythagorean Theorem
Solution
Solution
B. Two Special Triangles
Solution
Solution
Solution
Solution
C. The Distance Formula and the Midpoint Formula
Solution
Solution
7.7 Exercise Set For Extra Help
A. Using the Pythagorean Theorem
B. Two Special Triangles
B. Solving Right Triangles
C. The Distance Formula and the Midpoint Formula
Skill Review
Synthesis
7.8 The Complex Numbers
A. Imaginary Numbers and Complex Numbers
Solution
Solution
C. Multiplication
Solution
D. Conjugates and Division
Solution
Solution
Solution
E. Powers of i
Solution
Solution
Solution
7.8 Exercise Set For Extra Help
A. Imaginary Numbers and Complex Numbers
C. Multiplication
D. Conjugates and Division
E. Powers of i
Skill Review
Synthesis
Chapter 7 Resources
Visualizing for Success
Decision Making Connection (Use after Section 7.6.)
Study Summary
Review Exercises: Chapter 7
Concept Reinforcement
Synthesis
Test: Chapter 7
Cumulative Review: Chapters 1–7
Chapter 8 Quadratic Functions and Equations
Solution
A. The Principle of Square Roots
Solution
Solution
Solution
Solution
Solution
B. Completing the Square
Solution
Solution
Solution
Solution
C. Problem Solving
Solution
Solution
8.1 Exercise Set for Extra Help
A. The Principle of Square Roots
B. Completing the Square
C. Problem Solving
Skill Review
Synthesis
A. Solving Using the Quadratic Formula
Solution
Solution
Solution
Solution
B. Approximating Solutions
Solution
8.2 Exercise Set for Extra Help
A. Solving Using the Quadratic Formula
B. Approximating Solutions
Skill Review
Synthesis
8.3 Studying Solutions of Quadratic Equations
A. The Discriminant
Solution
B. Writing Equations from Solutions
Solution
8.3 Exercise Set for Extra Help
A. The Discriminant
B. Writing Equations from Solutions
Skill Review
Synthesis
A. Solving Formulas
Solution
Solution
Solution
B. Solving Problems
Solution
8.4 Exercise Set for Extra Help
A. Solving Formulas
B. Solving Problems
Skill Review
Synthesis
Solution
Solution
B. Radical Equations and Rational Equations
Solution
Solution
Solution
Solution
8.5 Exercise Set for Extra Help
Concept Reinforcement
B. Radical Equations and Rational Equations
A, B. Equations in Quadratic Form
Skill Review
Synthesis
Mid-Chapter Review
Guided Solutions
Solution
Solution
Mixed Review
8.6 Quadratic Functions and Their Graphs
A. The Graph of f(x) = ax2
Solution
B. The Graph of f(x) = a(x − h)2
Solution
Solution
C. The Graph of f(x) = a(x − h)2 + k
Solution
Solution
Solution
8.6 Exercise Set for Extra Help
A. The Graph of f(x) = ax2
B. The Graph of f(x) = a(x − h)2
C. The Graph of f(x) = a(x − h)2 + k
Skill Review
Synthesis
A. Graphing f(x) = ax2 + bx + c
Solution
Solution
Solution
B. Finding Intercepts
Solution
8.7 Exercise Set for Extra Help
A. Graphing f(x) = ax2 + bx + c
B. Finding Intercepts
Skill Review
Synthesis
8.8 Problem Solving and Quadratic Functions
A. Maximum and Minimum Problems
Solution
Solution
B. Fitting Quadratic Functions to Data
Solution
8.8 Exercise Set for Extra Help
A. Maximum and Minimum Problems
B. Fitting Quadratic Functions to Data
Skill Review
Synthesis
8.9 Polynomial Inequalities and Rational Inequalities
A. Quadratic and Other Polynomial Inequalities
Solution
Solution
Solution
Solution
B. Rational Inequalities
Solution
8.9 Exercise Set for Extra Help
A, B. Polynomial Inequalities and Rational Inequalities
B. Quadratic and Other Polynomial Inequalities
B. Rational Inequalities
Skill Review
Synthesis
Chapter 8 Resources
Visualizing for Success
Decision Making Connection (Use after Section 8.8.)
Study Summary
Review Exercises: Chapter 8
Concept Reinforcement
Synthesis
Test: Chapter 8
Synthesis
Cumulative Review: Chapters 1–8
Synthesis
Chapter 9 Exponential Functions and Logarithmic Functions
9.1 Composite Functions and Inverse Functions
A. Composite Functions
Solution
Solution
Solution
B. Inverses and One-to-One Functions
Solution
Solution
C. Finding Formulas for Inverses
Solution
D. Graphing Functions and Their Inverses
Solution
Solution
E. Inverse Functions and Composition
Solution
9.1 Exercise Set for Extra Help
A. Composite Functions
B. Inverses and One-to-One Functions
C. Finding Formulas for Inverses
D. Graphing Functions and Their Inverses
E. Inverse Functions and Composition
Skill Review
Synthesis
9.2 Exponential Functions
A. Graphing Exponential Functions
Solution
Solution
Solution
B. Equations with x and y Interchanged
Solution
C. Applications of Exponential Functions
Solution
9.2 Exercise Set for Extra Help
A. Graphing Exponential Functions
B. Equations with x and y Interchanged
C. Applications of Exponential Functions
Skill Review
Synthesis
9.3 Logarithmic Functions
A. The Meaning of Logarithms
Solution
Solution
B. Graphs of Logarithmic Functions
Solution
C. Equivalent Equations
Solution
Solution
D. Solving Certain Logarithmic Equations
Solution
Solution
9.3 Exercise Set for Extra Help
Concept Reinforcement
A. The Meaning of Logarithms
B. Graphs of Logarithmic Functions
C. Equivalent Equations
D. Solving Certain Logarithmic Equations
Skill Review
Synthesis
9.4 Properties of Logarithmic Functions
A. Logarithms of Products
Solution
Solution
A Proof of the Product Rule
B. Logarithms of Powers
Solution
A Proof of the Power Rule
C. Logarithms of Quotients
Solution
Solution
A Proof of the Quotient Rule
D. Using the Properties Together
Solution
Solution
Solution
Solution
9.4 Exercise Set for Extra Help
A. Logarithms of Products
B. Logarithms of Powers
C. Logarithms of Quotients
D. Using the Properties Together
Skill Review
Synthesis
Mid-Chapter Review
Guided Solutions
Solution
Solution
Mixed Review
9.5 Common Logarithms and Natural Logarithms
A. Common Logarithms on a Calculator
Solution
Solution
B. The Base e and Natural Logarithms on a Calculator
Solution
Solution
C. Changing Logarithmic Bases
Solution
Solution
D. Graphs of Exponential Functions and Logarithmic Functions, Base e
Solution
Solution
Solution
9.5 Exercise Set for Extra Help
A, B. Logarithms on a Calculator
C. Changing Logarithmic Bases
D. Graphs of Exponential Functions and Logarithmic Functions, Base e
Skill Review
Synthesis
9.6 Solving Exponential Equations and Logarithmic Equations
A. Solving Exponential Equations
Solution
Solution
Solution
B. Solving Logarithmic Equations
Solution
Solution
9.6 Exercise Set for Extra Help
Concept Reinforcement
A. Solving Exponential Equations
B. Solving Logarithmic Equations
Skill Review
Synthesis
9.7 Applications of Exponential Functions and Logarithmic Functions
A. Applications of Logarithmic Functions
Solution
Solution
B. Applications of Exponential Functions
Solution
Solution
Solution
Solution
Solution
9.7 Exercise Set for Extra Help
A, B. Applications of Exponential Functions and Logarithmic Functions
Skill Review
Synthesis
Chapter 9 Resources
Visualizing for Success
Decision Making Connection (Use after Section 9.7.)
Study Summary
Review Exercises: Chapter 9
Concept Reinforcement
Synthesis
Test: Chapter 9
Synthesis
Cumulative Review: Chapters 1–9
Synthesis
Chapter 10 Conic Sections
10.1 Conic Sections: Parabolas and Circles
A. Parabolas
Solution
Solution
Solution
B. Circles
Solution
Solution
10.1 Exercise Set for Extra Help
Concept Reinforcement
A. Parabolas
B. Circles
Skill Review
Synthesis
10.2 Conic Sections: Ellipses
A. Ellipses Centered at (0, 0)
Solution
Solution
B. Ellipses Centered at (h, k)
Solution
10.2 Exercise Set For Extra Help
Concept Reinforcement
A. Ellipses Centered at (0, 0)
B. Ellipses Centered at (h,k)
Skill Review
Synthesis
10.3 Conic Sections: Hyperbolas
A. Hyperbolas
Solution
Solution
B. Hyperbolas (Nonstandard Form)
Solution
C. Classifying Graphs of Equations
Solution
10.3 Exercise Set for Extra Help
A. Hyperbolas
B. Hyperbolas (Nonstandard Form)
C. Classifying Graphs of Equations
Skill Review
Synthesis
Mid-Chapter Review
Guided Solutions
Solution
Solution
Mixed Review
10.4 Nonlinear Systems of Equations
A. Systems Involving One Nonlinear Equation
Solution
Solution
Solution
B. Systems of Two Nonlinear Equations
Solution
Solution
C. Problem Solving
Solution
Solution
10.4 Exercise Set for Extra Help
A. Systems Involving One Nonlinear Equation
B. Systems of Two Nonlinear Equations
C. Problem Solving
Skill Review
Synthesis
Chapter 10 Resources
Visualizing for Success
Decision Making Connection (Use after Section 10.4.)
Study Summary
Review Exercises: Chapter 10
Concept Reinforcement
Synthesis
Test: Chapter 10
Synthesis
Cumulative Review: Chapters 1–10
Synthesis
Chapter 11 Sequences, Series, and the Binomial Theorem
11.1 Sequences and Series
A. Sequences
Solution
B. Finding the General Term
Solution
C. Sums and Series
Solution
D. Sigma Notation
Solution
Solution
11.1 Exercise Set for Extra Help
Concept Reinforcement
A. Sequences
B. Finding the General Term
C. Sums and Series
D. Sigma Notation
Skill Review
Synthesis
11.2 Arithmetic Sequences and Series
A. Arithmetic Sequences
Solution
Solution
Solution
Solution
B. Sum of the First n Terms of an Arithmetic Sequence
Solution
Solution
C. Problem Solving
Solution
Solution
11.2 Exercise Set for Extra Help
A. Arithmetic Sequences
B. Sum of the First n Terms of an Arithmetic Sequence
C. Problem Solving
Skill Review
Synthesis
11.3 Geometric Sequences and Series
A. Geometric Sequences
Solution
Solution
Solution
B. Sum of the First n Terms of a Geometric Sequence
Solution
C. Infinite Geometric Series
Solution
Solution
D. Problem Solving
Solution
Solution
11.3 Exercise Set for Extra Help
Concept Reinforcement
A. Geometric Sequences
B. Sum of the First n Terms of a Geometric Sequence
C. Infinite Geometric Series
D. Problem Solving
Skill Review
Synthesis
Mid-Chapter Review
Guided Solutions
Mixed Review
11.4 The Binomial Theorem
A. Binomial Expansion Using Pascal’s Triangle
Solution
Solution
B. Binomial Expansion Using Factorial Notation
Solution
Solution
Solution
Solution
Solution
11.4 Exercise Set for Extra Help
Concept Reinforcement
B. Factorial Notation and Binomial Coefficients
A, B. Binomial Expansion
Skill Review
Synthesis
Chapter 11 Resources
Visualizing for Success
Decision Making Connection (Use after Section 11.3.)
Study Summary
Review Exercises: Chapter 11
Concept Reinforcement
Synthesis
Test: Chapter 11
Synthesis
Cumulative Review/Final Exam: Chapters 1–11
Synthesis
Chapter 1
Technology Connection, p. 7
Exercise Set 1.1, pp. 8–10
Technology Connection, p. 13
Exercise Set 1.2, pp. 18–20
Quick Quiz: Sections 1.1–1.2, p. 20
Exercise Set 1.3, pp. 26–27
Quick Quiz: Sections 1.1–1.3, p. 27
Mid-Chapter Review: Chapter 1, p. 28
Exercise Set 1.4, pp. 34–36
Quick Quiz: Sections 1.1–1.4, p. 36
Connecting the Concepts, p. 39
Exercise Set 1.5, pp. 41–45
Quick Quiz: Sections 1.1–1.5, p. 45
Technology Connection, p. 50
Exercise Set 1.6, pp. 53–55
Quick Quiz: Sections 1.1–1.6, p. 55
Exercise Set 1.7, pp. 60–62
Quick Quiz: Sections 1.1–1.7, p. 62
Translating for Success, p. 63
Decision Making: Connection, p. 64
Study Summary: Chapter 1, pp. 65–68
Review Exercises: Chapter 1, pp. 68–70
Test: Chapter 1, p. 70
Chapter 2
Technology Connection, p. 77
Exercise Set 2.1, pp. 78–80
Prepare to Move On, p. 80
Exercise Set 2.2, pp. 89–94
Quick Quiz: Sections 2.1–2.2, p. 94
Prepare to Move On, p. 94
Exercise Set 2.3, pp. 101–106
Quick Quiz: Sections 2.1–2.3, p. 106
Prepare to Move On, p. 106
Technology Connection, p. 110
Exercise Set 2.4, pp. 114–117
Quick Quiz: Sections 2.1–2.4, p. 117
Prepare to Move On, p. 117
Mid-Chapter Review: Chapter 2, p. 118
Connecting the Concepts, pp. 124–125
Exercise Set 2.5, pp. 125–129
Quick Quiz: Sections 2.1–2.5, p. 129
Prepare to Move On, p. 129
Exercise Set 2.6, pp. 135–138
Quick Quiz: Sections 2.1–2.6, p. 138
Prepare to Move On, p. 138
Visualizing for Success, p. 139
Decision Making: Connection, p. 140
Study Summary: Chapter 2, pp. 141–143
Review Exercises: Chapter 2, pp. 144–146
Test: Chapter 2, pp. 146–147
Cumulative Review: Chapters 1–2, p. 148
Chapter 3
Technology Connection, p. 153
Exercise Set 3.1, pp. 155–158
Prepare to Move On, p. 158
Connecting the Concepts, pp. 163–164
Exercise Set 3.2, pp. 164–166
Quick Quiz: Sections 3.1–3.2, p. 166
Prepare to Move On, p. 166
Exercise Set 3.3, pp. 175–179
Quick Quiz: Sections 3.1–3.3, p. 179
Prepare to Move On, p. 179
Exercise Set 3.4, pp. 185–187
Quick Quiz: Sections 3.1–3.4, p. 187
Prepare to Move On, p. 187
Mid-Chapter Review: Chapter 3, p. 188
Exercise Set 3.5, pp. 192–195
Quick Quiz: Sections 3.1–3.5, p. 195
Prepare to Move On, p. 195
Exercise Set 3.6, pp. 199–200
Quick Quiz: Sections 3.1–3.6, p. 200
Prepare to Move On, p. 200
Exercise Set 3.7, pp. 205–206
Quick Quiz: Sections 3.1–3.7, p. 206
Prepare to Move On, p. 206
Exercise Set 3.8, pp. 210–212
Quick Quiz: Sections 3.1–3.8, p. 212
Prepare to Move On, p. 212
Visualizing for Success, p. 213
Decision Making: Connection, p. 214
Study Summary: Chapter 3, pp. 215–218
Review Exercises: Chapter 3, pp. 218–220
Test: Chapter 3, pp. 220–221
Cumulative Review: Chapters 1–3, p. 222
Chapter 4
Exercise Set 4.1, pp. 231–235
Prepare to Move On, p. 235
Exercise Set 4.2, pp. 241–245
Quick Quiz: Sections 4.1–4.2, p. 245
Prepare to Move On, p. 245
Technology Connection, p. 250
Exercise Set 4.3, pp. 251–253
Quick Quiz: Sections 4.1–4.3, p. 253
Prepare to Move On, p. 253
Mid-Chapter Review: Chapter 4, p. 254
Technology Connection, p. 258
Technology Connection, p. 260
Connecting the Concepts, pp. 261–262
Exercise Set 4.4, pp. 262–264
Quick Quiz: Sections 4.1–4.4, p. 264
Prepare to Move On, p. 264
Exercise Set 4.5, pp. 268–270
Quick Quiz: Sections 4.1–4.5, p. 270
Prepare to Move On, p. 270
Visualizing for Success, p. 271
Decision Making: Connection, p. 272
Study Summary: Chapter 4, pp. 273–275
Review Exercises: Chapter 4, pp. 275–276
Test: Chapter 4, p. 277
Cumzulative Review: Chapters 1–4, p. 278
Chapter 5
Technology Connection, p. 286
Exercise Set 5.1, pp. 286–290
Prepare to Move On, p. 290
Technology Connection, p. 295
Exercise Set 5.2, pp. 297–299
Quick Quiz: Sections 5.1–5.2, p. 299
Prepare to Move On, p. 299
Technology Connection, p. 301
Exercise Set 5.3, pp. 303–305
Quick Quiz: Sections 5.1–5.3, p. 305
Prepare to Move On, p. 305
Technology Connection, p. 308
Exercise Set 5.4, pp. 314–316
Quick Quiz: Sections 5.1–5.4, p. 316
Prepare to Move On, p. 316
Mid-Chapter Review: Chapter 5, p. 316
Exercise Set 5.5, pp. 321–322
Quick Quiz: Sections 25.1–5.5, p. 322
Prepare to Move On, p. 322
Exercise Set 5.6, pp. 325–326
Quick Quiz: Sections 5.1–5.6, p. 326
Prepare to Move On, p. 326
Exercise Set 5.7, pp. 330–331
Quick Quiz: Sections 5.1–5.7, p. 331
Prepare to Move On, p. 331
Technology Connection, p. 337
Connecting the Concepts, p. 339
Exercise Set 5.8, pp. 339–343
Quick Quiz: Sections 5.1–5.8, p. 343
Prepare to Move On, p. 343
Visualizing for Success, p. 344
Decision Making: Connection, p. 345
Study Summary: Chapter 5, pp. 346–348
Review Exercises: Chapter 5, pp. 349–350
Test: Chapter 5, p. 351
Cumulative Review: Chapters 1–5, p. 352
Chapter 6
Technology Connection, p. 358
Exercise Set 6.1, pp. 361–364
Prepare to Move On, p. 364
Exercise Set 6.2, pp. 370–373
Quick Quiz: Sections 6.1–6.2, p. 373
Prepare to Move On, p. 373
Technology Connection, p. 378
Exercise Set 6.3, pp. 379–382
Quick Quiz: Sections 6.1–6.3, p. 382
Prepare to Move On, p. 382
Connecting the Concepts, p. 387
Exercise Set 6.4, pp. 387–389
Quick Quiz: Sections 6.1–6.4, p. 389
Prepare to Move On, p. 389
Mid-Chapter Review: Chapter 6, pp. 390–391
Exercise Set 6.5, pp. 397–400
Quick Quiz: Sections 6.1–6.5, p. 400
Prepare to Move On, p. 400
Exercise Set 6.6, pp. 404–406
Quick Quiz: Sections 6.1–6.6, p. 406
Prepare to Move On, p. 406
Exercise Set 6.7, pp. 410–411
Quick Quiz: Sections 6.1–6.7, p. 411
Prepare to Move On, p. 411
Exercise Set 6.8, pp. 417–422
Quick Quiz: Sections 6.1–6.8, p. 422
Prepare to Move On, p. 422
Visualizing for Success, p. 423
Decision Making: Connection, p. 424
Study Summary: Chapter 6, pp. 425–428
Review Exercises: Chapter 6, pp. 429–430
Test: Chapter 6, p. 431
Cumulative Review: Chapters 1–6, p. 432
Chapter 7
Technology Connection, p. 436
Exercise Set 7.1, pp. 439–442
Prepare to Move On, p. 442
Technology Connection, p. 444
Technology Connection, p. 446
Exercise Set 7.2, pp. 446–449
Quick Quiz: Sections 27.1–7.2, p. 449
Prepare to Move On, p. 449
Technology Connection, p. 450
Exercise Set 7.3, pp. 453–455
Quick Quiz: Sections 7.1–7.3, p. 455
Prepare to Move On, p. 455
Exercise Set 7.4, pp. 459–461
Quick Quiz: Sections 7.1–7.4, p. 461
Prepare to Move On, p. 461
Connecting the Concepts, p. 464
Exercise Set 7.5, pp. 466–468
Quick Quiz: Sections 7.1–7.5, p. 468
Prepare to Move On, p. 468
Mid-Chapter Review: Chapter 7, p. 469
Technology Connection, p. 472
Exercise Set 7.6, pp. 474–476
Quick Quiz: Sections 7.1–7.6, p. 476
Prepare to Move On, p. 476
Exercise Set 7.7, pp. 482–486
Quick Quiz: Sections 7.1–7.7, p. 486
Prepare to Move On, p. 486
Exercise Set 7.8, pp. 492–493
Quick Quiz: Sections 7.1–7.8, p. 493
Prepare to Move On, p. 493
Visualizing for Success, p. 494
Decision Making: Connection, p. 495
Study Summary: Chapter 7, pp. 496–499
Review Exercises: Chapter 7, pp. 499–500
Test: Chapter 7, p. 501
Cumulative Review: Chapters 1–7, p. 502
Chapter 8
Technology Connection, p. 511
Exercise Set 8.1, pp. 512–514
Prepare to Move On, p. 514
Connecting the Concepts, p. 518
Exercise Set 8.2, pp. 519–520
Quick Quiz: Sections 8.1–8.2, p. 520
Prepare to Move On, p. 520
Exercise Set 8.3, pp. 524–525
Quick Quiz: Sections 8.1–8.3, p. 525
Prepare to Move On, p. 525
Exercise Set 8.4, pp. 529–532
Quick Quiz: Sections 8.1–8.4, p. 532
Prepare to Move On, p. 532
Exercise Set 8.5, pp. 537–538
Quick Quiz: Sections 8.1–8.5, p. 538
Prepare to Move On, p. 538
Mid-Chapter Review: Chapter 8, p. 539
Technology Connection, p. 541
Technology Connection, p. 543
Technology Connection, p. 544
Exercise Set 8.6, pp. 546–548
Quick Quiz: Sections 8.1–8.6, p. 548
Prepare to Move On, p. 548
Exercise Set 8.7, pp. 553–555
Quick Quiz: Sections 8.1–8.7, p. 555
Prepare to Move On, p. 555
Exercise Set 8.8, pp. 559–564
Quick Quiz: Sections 8.1–8.8, p. 564
Prepare to Move On, p. 564
Technology Connection, p. 568
Exercise Set 8.9, pp. 571–573
Quick Quiz: Sections 8.1–8.9, p. 573
Prepare to Move On, p. 573
Visualizing for Success, p. 574
Decision Making: Connection, p. 575
Study Summary: Chapter 8, pp. 576–578
Review Exercises: Chapter 8, pp. 578–580
Test: Chapter 8, p. 581
Cumulative Review: Chapter 1–8, p. 582
Chapter 9
Technology Connection, p. 586
Technology Connection, p. 592
Exercise Set 9.1, pp. 593–595
Prepare to Move On, p. 595
Technology Connection, p. 598
Exercise Set 9.2, pp. 601–603
Quick Quiz: Sections 9.1–9.2, p. 603
Prepare to Move On, p. 603
Exercise Set 9.3, pp. 608–610
Quick Quiz: Sections 9.1–9.3, p. 610
Prepare to Move On, p. 610
Exercise Set 9.4, pp. 616–617
Quick Quiz: Sections 9.1–9.4, p. 617
Prepare to Move On, p. 617
Mid-Chapter Review: Chapter 9, p. 618
Technology Connection, p. 619
Technology Connection, p. 620
Technology Connection, p. 622
Exercise Set 9.5, pp. 624–625
Quick Quiz: Sections 9.1–9.5, p. 625
Prepare to Move On, p. 625
Technology Connection, p. 629
Connecting the Concepts, p. 630
Exercise Set 9.6, pp. 631–632
Quick Quiz: Sections 9.1–9.6, p. 632
Prepare to Move On, p. 632
Exercise Set 9.7, pp. 639–644
Quick Quiz: Sections 9.1–9.7, p. 644
Prepare to Move On, p. 644
Visualizing for Success, p. 645
Decision Making: Connection, p. 646
Study Summary: Chapter 9, pp. 647–648
Review Exercises: Chapter 9, pp. 649–650
Test: Chapter 9, p. 651
Cumulative Review: Chapters 1–9, p. 652
Chapter 10
Technology Connection, p. 659
Exercise Set 10.1, pp. 659–663
Prepare to Move On, p. 663
Exercise Set 10.2, pp. 667–669
Quick Quiz: Sections 10.1–10.2, p. 669
Prepare to Move On, p. 669
Technology Connection, p. 674
Connecting the Concepts, p. 676
Exercise Set 10.3, pp. 677–678
Quick Quiz: Sections 10.1–10.3, p. 678
Prepare to Move On, p. 678
Mid-Chapter Review: Chapter 10, p. 679
Technology Connection, p. 682
Technology Connection, p. 684
Exercise Set 10.4, pp. 685–687
Quick Quiz: Sections 10.1–10.4, p. 687
Prepare to Move On, p. 687
Visualizing for Success, p. 688
Decision Making: Connection, p. 689
Study Summary: Chapter 10, pp. 690–691
Review Exercises: Chapter 10, pp. 692–693
Test: Chapter 10, p. 693
Cumulative Review: Chapters 1–10, p. 694
Chapter 11
Exercise Set 11.1, pp. 700–702
Prepare to Move On, p. 702
Exercise Set 11.2, pp. 708–710
Quick Quiz: Sections 11.1–11.2, p. 710
Prepare to Move On, p. 710
Connecting the Concepts, p. 715
Exercise Set 11.3, pp. 718–720
Quick Quiz: Sections 11.1–11.3, p. 720
Prepare to Move On, p. 720
Mid-Chapter Review: chapter 11, p. 721
Technology Connection, p. 725
Exercise Set 11.4, pp. 728–729
Quick Quiz: Sections 11.1–11.4, p. 729
Visualizing for Success, p. 730
Decision Making: Connection, p. 731
Study Summary: Chapter 11, pp. 732–733
Review Exercises: chapter 11, pp. 733–734
Test: Chapter 11, p. 735
Cumulative Review/Final Exam: Chapters 1–11, pp. 736–737
Glossary
Index
Index of Applications
Agriculture
Astronomy
Automotive
Biology
Chemistry
Construction
Consumer
Economics
Education
Engineering
Environment
Finance
Geometry
Government
Health/Medicine
Labor
Miscellaneous
Physics
Social Sciences
Sports/Entertainment
Statistics/Demographics
Technology
Transportation
Photo Credits
Selected Keys of the Scientific Calculator
Selected Keys of the Graphing Calculator*
Formulas

Marvin Bittinger has been teaching math at the university level for more than thirty-eight years. Since 1968, he has been employed at Indiana University Purdue University Indianapolis, and is now professor emeritus of mathematics education. Professor Bittinger has authored over 190 publications on topics ranging from basic mathematics to algebra and trigonometry to applied calculus. He received his BA in mathematics from Manchester College and his PhD in mathematics education from Purdue University. Special honors include Distinguished Visiting Professor at the United States Air Force Academy and his election to the Manchester College Board of Trustees from 1992 to 1999. Professor Bittinger has also had the privilege of speaking at many mathematics conventions, most recently giving a lecture entitled “Baseball and Mathematics.” His hobbies include hiking in Utah, baseball, golf, and bowling. In addition, he also has an interest in philosophy and theology, in particular, apologetics. Professor Bittinger currently lives in Carmel, Indiana with his wife Elaine. He has two grown and married sons, Lowell and Chris, and four granddaughters.

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