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Table of Contents
Prentice Hall Algebra 2
Contents in Brief
Series Authors
Consulting Authors
Program Authors
Reviewers National
From the Authors
Power Algebra.com
Big Ideas
Exploring Concepts
Thinking Mathematically
Active Learning
Practice Makes Perfect
Pearson Video Challenge
Acing the Test
BIG ideas
Entry-Level Assessment
Chapter 1 Expressions, Equations, and Inequalities
Get Ready!
1-1 Patterns and Expressions
Practice and Problem-Solving Exercises
Standardized Test Prep
Mixed Review
1-2 Properties of Real Numbers
Practice and Problem-Solving Exercises
Standardized Test Prep
Mixed Review
1-3 Algebraic Expressions
Practice and Problem-Solving Exercises
Standardized Test Prep
Mixed Review
1 Mid-Chapter Quiz
1-4 Solving Equations
Practice and Problem-Solving Exercises
Standardized Test Prep
Mixed Review
1-5 Solving Inequalities
Practice and Problem-Solving Exercises
Standardized Test Prep
Mixed Review
1-6 Absolute Value Equations and Inequalities
Practice and Problem-Solving Exercises
Standardized Test Prep
Mixed Review
1 Pull It All Together
1 Chapter Review
1-1 Patterns and Expressions
1-2 Properties of Real Numbers
1-3, 1-4, and 1-5 Expressions, Equations, and Inequalities
1-6 Absolute Value Equations and Inequalities
1 Chapter Test
1 Cumulative Test Prep
Chapter 2 Functions, Equations, and Graphs
Get Ready!
2-1 Relations and Functions
Practice and Problem-Solving Exercises
Standardized Test Prep
Mixed Review
2-2 Direct Variation
Practice and Problem-Solving Exercises
Standardized Test Prep
Mixed Review
2-3 Linear Functions and Slope-Intercept Form
Practice and Problem-Solving Exercises
Standardized Test Prep
Mixed Review
2-4 More About Linear Equations
Practice and Problem-Solving Exercises
Standardized Test Prep
Mixed Review
2 Mid-Chapter Quiz
Concept Byte: Piecewise Functions
2-5 Using Linear Models
Practice and Problem-Solving Exercises
Standardized Test Prep
Mixed Review
2-6 Families of Functions
Practice and Problem-Solving Exercises
Standardized Test Prep
Mixed Review
2-7 Absolute Value Functions and Graphs
Practice and Problem-Solving Exercises
Standardized Test Prep
Mixed Review
2-8 Two-Variable Inequalities
Practice and Problem-Solving Exercises
Standardized Test Prep
Mixed Review
2 Pull It All Together
2 Chapter Review
2-1 Relations and Functions
2-2 Direct Variation
2-3 Linear Functions and Slope-Intercept Form
2-4 More About Linear Equations
2-5 Using Linear Models
2-6 Families of Functions
2-7 Absolute Value Functions and Graphs
2-8 Two Variable Inequalities
2 Chapter Test
2 Cumulative Test Prep
Chapter 3 Linear Systems
Get Ready!
3-1 Solving Systems Using Tables and Graphs
Practice and Problem-Solving Exercises
Standardized Test Prep
Mixed Review
3-2 Solving Systems Algebraically
Practice and Problem-Solving Exercises
Standardized Test Prep
Mixed Review
3-3 Systems of Inequalities
Practice and Problem-Solving Exercises
Standardized Test Prep
Mixed Review
3 Mid-Chapter Quiz
3-4 Linear Programming
Practice and Problem-Solving Exercises
Standardized Test Prep
Mixed Review
Concept Byte: Linear Programming
Concept Byte: Graphs in Three Dimensions
3-5 Systems With Three Variables
Practice and Problem-Solving Exercises
Standardized Test Prep
Mixed Review
3-6 Solving Systems Using Matrices
Practice and Problem-Solving Exercises
Standardized Test Prep
Mixed Review
3 Pull It All Together
3 Chapter Review
3-1 Solving Systems Using Tables and Graphs
3-2 Solving Systems Algebraically
3-3 Systems of Inequalities
3-4 Linear Programming
3-5 Systems With Three Variables
3-6 Solving Systems Using Matrices
3 Chapter Test
3 Cumulative Test Prep
Chapter 4 Quadratic Functions and Equations
Get Ready!
4-1 Quadratic Functions and Transformations
Practice and Problem-Solving Exercises
Standardized Test Prep
Mixed Review
4-2 Standard Form of a Quadratic Function
Practice and Problem-Solving Exercises
Standardized Test Prep
Mixed Review
4-3 Modeling With Quadratic Functions
Practice and Problem-Solving Exercises
Standardized Test Prep
Mixed Review
Concept Byte: Identifying Quadratic Data
4-4 Factoring Quadratic Expressions
Practice and Problem-Solving Exercises
Standardized Test Prep
Mixed Review
4 Mid-Chapter Quiz
Algebra Review: Square Roots and Radicals
4-5 Quadratic Equations
Practice and Problem-Solving Exercises
Standardized Test Prep
Mixed Review
Concept Byte: Writing Equations From Roots
4-6 Completing the Square
Practice and Problem-Solving Exercises
Standardized Test Prep
Mixed Review
4-7 The Quadratic Formula
Practice and Problem-Solving Exercises
Standardized Test Prep
Mixed Review
4-8 Complex Numbers
Practice and Problem-Solving Exercises
Standardized Test Prep
Mixed Review
Concept Byte: Quadratic Inequalities
4-9 Quadratic Systems
Practice and Problem-Solving Exercises
Standardized Test Prep
Mixed Review
Concept Byte: Powers of Complex Numbers
4 Pull It All Together
4 Chapter Review
4-1 Quadratic Functions and Transformations
4-2 Standard Form of a Quadratic Function
4-3 Modeling With Quadratic Functions
4-4 Factoring Quadratic Expressions
4-5 Solving Quadratic Equations
4-6 Completing the Square
4-7 The Quadratic Formula
4-8 Complex Numbers
4-9 Quadratic Systems
4 Chapter Test
4 Cumulative Test Prep
Chapter 5 Polynomials and Polynomial Functions
Get Ready!
5-1 Polynomial Functions
Practice and Problem-Solving Exercises
Standardized Test Prep
Mixed Review
5-2 Polynomials, Linear Factors, and Zeros
Practice and Problem-Solving Exercises
Standardized Test Prep
Mixed Review
5-3 Solving Polynomial Equations
Practice and Problem-Solving Exercises
Standardized Test Prep
Mixed Review
5-4 Dividing Polynomials
Practice and Problem-Solving Exercises
Standardized Test Prep
Mixed Review
5 Mid-Chapter Quiz
5-5 Theorems About Roots of Polynomial Equations
Practice and Problem-Solving Exercises
Standardized Test Prep
Mixed Review
Concept Byte: Solving Polynomial Inequalities
5-6 The Fundamental Theorem of Algebra
Practice and Problem-Solving Exercises
Standardized Test Prep
Mixed Review
Concept Byte: Pascal's Triangle
5-7 The Binomial Theorem
Practice and Problem-Solving Exercises
Standardized Test Prep
Mixed Review
5-8 Polynomial Models in the Real World
Practice and Problem-Solving Exercises
Standardized Test Prep
Mixed Review
5-9 Transforming Polynomial Functions
Practice and Problem-Solving Exercises
Standardized Test Prep
Mixed Review
5 Pull It All Together
5 Chapter Review
5-1 Polynomial Functions
5-2 Polynomials, Linear Factors, and Zeros
5-3 Solving Polynomial Equations
5-4 Dividing Polynomials
5-5 Theorems About Roots of Polynomial Equations
5-6 The Fundamental Theorem of Algebra
5-7 The Binomial Theorem
5-8 Polynomial Models in the Real World
5-9 Transforming Polynomial Functions
5 Chapter Test
5 Cumulative Test Prep
Chapter 6 Radical Functions and Rational Exponents
Get Ready!
Concept Byte: Properties of Exponents
6-1 Roots and Radical Expressions
Practice and Problem-Solving Exercises
Standardized Test Prep
Mixed Review
6-2 Multiplying and Dividing Radical Expressions
Practice and Problem-Solving Exercises
Standardized Test Prep
Mixed Review
6-3 Binomial Radical Expressions
Practice and Problem-Solving Exercises
Standardized Test Prep
Mixed Review
6-4 Rational Exponents
Practice and Problem-Solving Exercises
Standardized Test Prep
Mixed Review
6 Mid-Chapter Quiz
6-5 Solving Square Root and Other Radical Equations
Practice and Problem-Solving Exercises
Standardized Test Prep
Mixed Review
6-6 Function Operations
Practice and Problem-Solving Exercises
Standardized Test Prep
Mixed Review
6-7 Inverse Relations and Functions
Practice and Problem-Solving Exercises
Standardized Test Prep
Mixed Review
Concept Byte: Graphing Inverses
6-8 Graphing Radical Functions
Practice and Problem-Solving Exercises
Standardized Test Prep
Mixed Review
6 Pull It All Together
6 Chapter Review
6-1 Roots and Radical Expressions
6-2 Multiplying and Dividing Radical Expressions
6-3 Binomial Radical Expressions
6-4 Rational Exponents
6-5 Solving Square Root and Other Radical Equations
6-6 Function Operations
6-7 Inverse Relations and Functions
6-8 Graphing Radical Functions
6 Chapter Test
6 Cumulative Test Prep
Chapter 7 Exponential and Logarithmic Functions
Get Ready!
7-1 Exploring Exponential Models
Practice and Problem-Solving Exercises
Standardized Test Prep
Mixed Review
7-2 Properties of Exponential Functions
Practice and Problem-Solving Exercises
Standardized Test Prep
Mixed Review
7-3 Logarithmic Functions as Inverses
Practice and Problem-Solving Exercises
Standardized Test Prep
Mixed Review
Concept Byte: Fitting Curves to Data
7 Mid-Chapter Quiz
7-4 Properties of Logarithms
Practice and Problem-Solving Exercises
Standardized Test Prep
Mixed Review
7-5 Exponential and Logarithmic Equations
Practice and Problem-Solving Exercises
Standardized Test Prep
Mixed Review
Concept Byte: Using Logarithms for Exponential Models
7-6 Natural Logarithms
Practice and Problem-Solving Exercises
Standardized Test Prep
Mixed Review
Concept Byte: Exponential and Logarithmic Inequalities
7 Pull It All Together
7 Chapter Review
7-1 Exploring Exponential Models
7-2 Properties of Exponential Functions
7-3 Logarithmic Functions as Inverses
7-4 Properties of Logarithms
7-5 Exponential and Logarithmic Equations
7-6 Natural Logarithms
7 Chapter Test
7 Cumulative Test Prep
Chapter 8 Rational Functions
Get Ready!
8-1 Inverse Variation
Practice and Problem-Solving Exercises
Standardized Test Prep
Mixed Review
Concept Byte: Graphing Rational Functions
8-2 The Reciprocal Function Family
Practice and Problem-Solving Exercises
Standardized Test Prep
Mixed Review
8-3 Rational Functions and Their Graphs
Practice and Problem-Solving Exercises
Standardized Test Prep
Mixed Review
Concept Byte: Oblique Asymptotes
8 Mid-Chapter Quiz
8-4 Rational Expressions
Practice and Problem-Solving Exercises
Standardized Test Prep
Mixed Review
8-5 Adding and Subtracting Rational Expressions
Practice and Problem-Solving Exercises
Standardized Test Prep
Mixed Review
8-6 Solving Rational Equations
Practice and Problem-Solving Exercises
Standardized Test Prep
Mixed Review
Concept Byte: Systems With Rational Equations
Concept Byte: Rational Inequalities
8 Pull It All Together
8 Chapter Review
8-1 Inverse Variation
8-2 The Reciprocal Function Family
8-3 Rational Functions and Their Graphs
8-4 Rational Expressions
8-5 Adding and Subtracting Rational Expressions
8-6 Solving Rational Equations
8 Chapter Test
8 Cumulative Test Prep
Chapter 9 Sequences and Series
Get Ready!
9-1 Mathematical Patterns
Practice and Problem-Solving Exercises
Standardized Test Prep
Mixed Review
9-2 Arithmetic Sequences
Practice and Problem-Solving Exercises
Standardized Test Prep
Mixed Review
Concept Byte: The Fibonacci Sequence
9 Mid-Chapter Quiz
9-3 Geometric Sequences
Practice and Problem-Solving Exercises
Standardized Test Prep
Mixed Review
9-4 Arithmetic Series
Practice and Problem-Solving Exercises
Standardized Test Prep
Mixed Review
Concept Byte: Geometry and Infinite Series
9-5 Geometric Series
Practice and Problem-Solving Exercises
Standardized Test Prep
Mixed Review
9 Pull It All Together
9 Chapter Review
9-1 Mathematical Patterns
9-2 Arithmetic Sequences
9-3 Geometric Sequences
9-4 Arithmetic Series
9-5 Geometric Series
9 Chapter Test
9 Cumulative Test Prep
Chapter 10 Quadratic Relations and Conic Sections
Get Ready!
10-1 Exploring Conic Sections
Practice and Problem-Solving Exercises
Standardized Test Prep
Mixed Review
Concept Byte: Graphing Conic Sections
10-2 Parabolas
Practice and Problem-Solving Exercises
Standardized Test Prep
Mixed Review
10-3 Circles
Practice and Problem-Solving Exercises
Standardized Test Prep
Mixed Review
10 Mid-Chapter Quiz
10-4 Ellipses
Practice and Problem-Solving Exercises
Standardized Test Prep
Mixed Review
10-5 Hyperbolas
Practice and Problem-Solving Exercises
Standardized Test Prep
Mixed Review
10-6 Translating Conic Sections
Practice and Problem-Solving Exercises
Standardized Test Prep
Mixed Review
Concept Byte: Solving Quadratic Systems
10 Pull It All Together
10 Chapter Review
10-1 Exploring Conic Sections
10-2 Parabolas
10-3 Circles
10-4 Ellipses
10-5 Hyperbolas
10-6 Translating Conic Sections
10 Chapter Test
10 Cumulative Test Prep
Chapter 11 Probability and Statistics
Get Ready!
11-1 Permutations and Combinations
Practice and Problem-Solving Exercises
Standardized Test Prep
Mixed Review
11-2 Probability
Practice and Problem-Solving Exercises
Standardized Test Prep
Mixed Review
11-3 Probability of Multiple Events
Practice and Problem-Solving Exercises
Standardized Test Prep
Mixed Review
Concept Byte: Probability Distributions
11-4 Conditional Probability
Practice and Problem-Solving Exercises
Standardized Test Prep
Mixed Review
11 Mid-Chapter Quiz
11-5 Analyzing Data
Practice and Problem-Solving Exercises
Standardized Test Prep
Mixed Review
11-6 Standard Deviation
Practice and Problem-Solving Exercises
Standardized Test Prep
Mixed Review
11-7 Samples and Surveys
Practice and Problem-Solving Exercises
Standardized Test Prep
Mixed Review
Concept Byte: Describing Data
11-8 Binomial Distributions
Practice and Problem-Solving Exercises
Standardized Test Prep
Mixed Review
11-9 Normal Distributions
Practice and Problem-Solving Exercises
Standardized Test Prep
Mixed Review
Concept Byte: Approximating a Binomial Distribution
11 Pull It All Together
11 Chapter Review
11-1 Permutations and Combinations
11-2 Probability
11-3 Probability of Multiple Events
11-4 Conditional Probability
11-5 Analyzing Data
11-6 Standard Deviation
11-7 Samples and Surveys
11-8 Binomial Distributions
11-9 Normal Distributions
11 Chapter Test
11 Cumulative Test Prep
Chapter 12 Matrices
Get Ready!
12-1 Adding and Subtracting Matrices
Practice and Problem-Solving Exercises
Standardized Test Prep
Mixed Review
Concept Byte: Working with Matrices
12-2 Matrix Multiplication
Practice and Problem-Solving Exercises
Standardized Test Prep
Mixed Review
Concept Byte: Networks
12-3 Determinants and Inverses
Practice and Problem-Solving Exercises
Standardized Test Prep
Mixed Review
12 Mid-Chapter Quiz
12-4 Inverse Matrices and Systems
Practice and Problem-Solving Exercises
Standardized Test Prep
Mixed Review
12-5 Geometric Transformations
Practice and Problem-Solving Exercises
Standardized Test Prep
Mixed Review
12-6 Vectors
Practice and Problem-Solving Exercises
Standardized Test Prep
Mixed Review
12 Pull It All Together
12 Chapter Review
12-1 Adding and Subtracting Matrices
12-2 Matrix Multiplication
12-3 Determinants and Inverses
12-4 Inverse Matrices and Systems
12-5 Geometric Transformations
12-6 Vectors
12 Chapter Test
12 Cumulative Test Prep
Chapter 13 Periodic Functions and Trigonometry
Get Ready!
13-1 Exploring Periodic Data
Practice and Problem-Solving Exercises
Standardized Test Prep
Mixed Review
Geometry Review: Special Right Triangles
13-2 Angles and the Unit Circle
Practice and Problem-Solving Exercises
Standardized Test Prep
Mixed Review
Concept Byte: Measuring Radians
13-3 Radian Measure
Practice and Problem-Solving Exercises
Standardized Test Prep
Mixed Review
13-4 The Sine Function
Practice and Problem-Solving Exercises
Standardized Test Prep
Mixed Review
13 Mid-Chapter Quiz
Concept Byte: Graphing Trigonometric Functions
13-5 The Cosine Function
Practice and Problem-Solving Exercises
Standardized Test Prep
Mixed Review
13-6 The Tangent Function
Practice and Problem-Solving Exercises
Standardized Test Prep
Mixed Review
13-7 Translating Sine and Cosine Functions
Practice and Problem-Solving Exercises
Standardized Test Prep
Mixed Review
13-8 Reciprocal Trigonometric Functions
Practice and Problem-Solving Exercises
Standardized Test Prep
Mixed Review
13 Pull It All Together
13 Chapter Review
13-1 Exploring Periodic Data
13-2 Angles and the Unit Circle
13-3 Radian Measure
13-4 The Sine Function
13-5 The Cosine Function
13-6 The Tangent Function
13-7 Translating Sine and Cosine Functions
13-8 Reciprocal Trigonometric Functions
13 Chapter Test
13 Cumulative Test Prep
Chapter 14 Trigonometric Identities and Equations
Get Ready!
14-1 Trigonometric Identities
Practice and Problem-Solving Exercises
Standardized Test Prep
Mixed Review
14-2 Solving Trigonometric Equations Using Inverses
Practice and Problem-Solving Exercises
Standardized Test Prep
Mixed Review
14-3 Right Triangles and Trigonometric Ratios
Practice and Problem-Solving Exercises
Standardized Test Prep
Mixed Review
14 Mid-Chapter Quiz
14-4 Area and the Law of Sines
Practice and Problem-Solving Exercises
Standardized Test Prep
Mixed Review
Concept Byte: The Ambiguous Case
14-5 The Law of Cosines
Practice and Problem-Solving Exercises
Standardized Test Prep
Mixed Review
14-6 Angle Identities
Practice and Problem-Solving Exercises
Standardized Test Prep
Mixed Review
14-7 Double-Angle and Half-Angle Identities
Practice and Problem-Solving Exercises
Standardized Test Prep
Mixed Review
14 Pull It All Together
14 Chapter Review
14-1 Trigonometric Identities
14-2 Solving Trigonometric Equations Using Inverses
14-3 Right Triangles and Trigonometric Ratios
14-4 and 14-5 Law of Sines and Law of Cosines
14-6 Angle Identities
14-7 Double-Angle and Half-Angle Identities
14 Chapter Test
End-of-Course Assessment to Prepare for the ADP Algebra 2 Test
Skills Handbook
Percents and Percent Applications
Operations With Fractions
Ratios and Proportions
Simplifying Expressions With Integers
Area and Volume
The Coordinate Plane, Slope, and Midpoint
Operations With Exponents
Factoring and Operations With Polynomials
Scientific Notation and Significant Digits
The Pythagorean Theorem and the Distance Formula
Bar and Circle Graphs
Descriptive Statistics and Histograms
Operations With Rational Expressions
Reference
Properties and Formulas
Formulas of Geometry
English/Spanish Illustrated Glossary
Selected Answers
Index
Acknowledgments
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