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Table of Contents
Prentice Hall Algebra 1
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
Entry-Level Assessment
Chapter 1 Foundations for Algebra
Chapter 1 Get Ready!
1-1 Variables and Expressions
Practice and Problem-Solving Exercises
Standardized Test Prep
Mixed Review
1-2 Order of Operations and Evaluating Expressions
Practice and Problem-Solving Exercises
Standardized Test Prep
Mixed Review
1-3 Real Numbers and the Number Line
Practice and Problem-Solving Exercises
Standardized Test Prep
Mixed Review
1-4 Properties of Real Numbers
Practice and Problem-Solving Exercises
Standardized Test Prep
Mixed Review
1 Mid-Chapter Quiz
1-5 Adding and Subtracting Real Numbers
Practice and Problem-Solving Exercises
Standardized Test Prep
Mixed Review
Concept Byte: Always, Sometimes, or Never
1-6 Multiplying and Dividing Real Numbers
Practice and Problem-Solving Exercises
Standardized Test Prep
Mixed Review
Concept Byte: Closure
1-7 The Distributive Property
Practice and Problem-Solving Exercises
Standardized Test Prep
Mixed Review
1-8 An Introduction to Equations
Practice and Problem-Solving Exercises
Standardized Test Prep
Mixed Review
Concept Byte: Using Tables to Solve Equations
Review: Graphing in the Coordinate Plane
1-9 Patterns, Equations, and Graphs
Practice and Problem-Solving Exercises
Standardized Test Prep
Mixed Review
1 Pull It All Together
1 Chapter Review
1-1 Variables and Expressions
1-2 Order of Operations and Evaluating Expressions
1-3 Real Numbers and the Number Line
1-4 Properties of Real Numbers
1-5 and 1-6 Operations With Real Numbers
1-7 The Distributive Property
1-8 An Introduction to Equations
1-9 Patterns, Equations, and Graphs
1 Chapter Test
1 Cumulative Test Prep
Chapter 2 Solving Equations
Chapter 2 Get Ready!
Concept Byte: Modeling One-Step Equations
2-1 Solving One-Step Equations
Practice and Problem-Solving Exercises
Standardized Test Prep
Mixed Review
2-2 Solving Two-Step Equations
Practice and Problem-Solving Exercises
Standardized Test Prep
Mixed Review
2-3 Solving Multi-Step Equations
Practice and Problem-Solving Exercises
Standardized Test Prep
Mixed Review
Concept Byte: Modeling Equations With Variables on Both Sides
2-4 Solving Equations With Variables on Both Sides
Practice and Problem-Solving Exercises
Standardized Test Prep
Mixed Review
2-5 Literal Equations and Formulas
Practice and Problem-Solving Exercises
Standardized Test Prep
Mixed Review
Concept Byte: Finding Perimeter, Area, and Volume
2 Mid-Chapter Quiz
2-6 Ratios, Rates, and Conversions
Practice and Problem-Solving Exercises
Standardized Test Prep
Mixed Review
2-7 Solving Proportions
Practice and Problem-Solving Exercises
Standardized Test Prep
Mixed Review
2-8 Proportions and Similar Figures
Practice and Problem-Solving Exercises
Standardized Test Prep
Mixed Review
2-9 Percents
Practice and Problem-Solving Exercises
Standardized Test Prep
Mixed Review
2-10 Change Expressed as a Percent
Practice and Problem-Solving Exercises
Standardized Test Prep
Mixed Review
2 Pull It All Together
2 Chapter Review
2-1 and 2-2 Solving One- and Two-Step Equations
2-3 Solving Multi-Step Equations
2-4 Solving Equations With Variables on Both Sides
2-5 Literal Equations and Formulas
2-6 Ratios, Rates, and Conversions
2-7 and 2-8 Solving Proportions and Using Similar Figures
2-9 Percents
2-10 Change Expressed as a Percent
2 Chapter Test
2 Cumulative Test Prep
Chapter 3 Solving Inequalities
Chapter 3 Get Ready!
3-1 Inequalities and Their Graphs
Practice and Problem-Solving Exercises
Standardized Test Prep
Mixed Review
3-2 Solving Inequalities Using Addition or Subtraction
Practice and Problem-Solving Exercises
Standardized Test Prep
Mixed Review
3-3 Solving Inequalities Using Multiplication or Division
Practice and Problem-Solving Exercises
Standardized Test Prep
Mixed Review
Concept Byte: More Algebraic Properties
Concept Byte: Modeling Multi-Step Inequalities
3-4 Solving Multi-Step Inequalities
Practice and Problem-Solving Exercises
Standardized Test Prep
Mixed Review
3 Mid-Chapter Quiz
3-5 Working With Sets
Practice and Problem-Solving Exercises
Standardized Test Prep
Mixed Review
3-6 Compound Inequalities
Practice and Problem-Solving Exercises
Standardized Test Prep
Mixed Review
3-7 Absolute Value Equations and Inequalities
Practice and Problem-Solving Exercises
Standardized Test Prep
Mixed Review
3-8 Unions and Intersections of Sets
Practice and Problem-Solving Exercises
Standardized Test Prep
Mixed Review
3 Pull It All Together
3 Chapter Review
3-1 Inequalities and Their Graphs
3-2 Solving Inequalities Using Addition or Subtraction
3-3 Solving Inequalities Using Multiplication or Division
3-4 Solving Multi-Step Inequalities
3-5 Working With Sets
3-6 Compound Inequalities
3-7 Absolute Value Equations and Inequalities
3-8 Unions and Intersections of Sets
3 Chapter Test
3 Cumulative Test Prep
Chapter 4 An Introduction to Functions
Chapter 4 Get Ready!
4-1 Using Graphs to Relate Two Quantities
Practice and Problem-Solving Exercises
Standardized Test Prep
Mixed Review
4-2 Patterns and Linear Functions
Practice and Problem-Solving Exercises
Standardized Test Prep
Mixed Review
4-3 Patterns and Nonlinear Functions
Practice and Problem-Solving Exercises
Standardized Test Prep
Mixed Review
4 Mid-Chapter Quiz
4-4 Graphing a Function Rule
Practice and Problem-Solving Exercises
Standardized Test Prep
Mixed Review
Concept Byte: Graphing Functions and Solving Equations
4-5 Writing a Function Rule
Practice and Problem-Solving Exercises
Standardized Test Prep
Mixed Review
4-6 Formalizing Relations and Functions
Practice and Problem-Solving Exercises
Standardized Test Prep
Mixed Review
4-7 Sequences and Functions
Practice and Problem-Solving Exercises
Standardized Test Prep
Mixed Review
4 Pull It All Together
4 Chapter Review
4-1 Using Graphs to Relate Two Quantities
4-2 Patterns and Linear Functions
4-3 Patterns and Nonlinear Functions
4-4 Graphing a Function Rule
4-5 Writing a Function Rule
4-6 Formalizing Relations and Functions
4-7 Sequences and Functions
4 Chapter Test
4 Cumulative Test Prep
Chapter 5 Linear Functions
Chapter 5 Get Ready!
5-1 Rate of Change and Slope
Practice and Problem-Solving Exercises
Standardized Test Prep
Mixed Review
5-2 Direct Variation
Practice and Problem-Solving Exercises
Standardized Test Prep
Mixed Review
Concept Byte: Investigating y = mx + b
5-3 Slope-Intercept Form
Practice and Problem-Solving Exercises
Standardized Test Prep
Mixed Review
5-4 Point-Slope Form
Practice and Problem-Solving Exercises
Standardized Test Prep
Mixed Review
5 Mid-Chapter Quiz
5-5 Standard Form
Practice and Problem-Solving Exercises
Standardized Test Prep
Mixed Review
5-6 Parallel and Perpendicular Lines
Practice and Problem-Solving Exercises
Standardized Test Prep
Mixed Review
5-7 Scatter Plots and Trend Lines
Practice and Problem-Solving Exercises
Standardized Test Prep
Mixed Review
Concept Byte: Collecting Linear Data
5-8 Graphing Absolute Value Functions
Practice and Problem-Solving Exercises
Standardized Test Prep
Mixed Review
Concept Byte: Characteristics of Absolute Value Graphs
5 Pull It All Together
5 Chapter Review
5-1 Rate of Change and Slope
5-2 Direct Variation
5-3, 5-4, and 5-5 Forms of Linear Equations
5-6 Parallel and Perpendicular Lines
5-7 Scatter Plots and Trend Lines
5-8 Graphing Absolute Value Functions
5 Chapter Test
5 Cumulative Test Prep
Chapter 6 Systems of Equations and Inequalities
Chapter 6 Get Ready!
6-1 Solving Systems by Graphing
Practice and Problem-Solving Exercises
Standardized Test Prep
Mixed Review
Concept Byte: Solving Systems Using Tables and Graphs
Concept Byte: Solving Systems Using Algebra Tiles
6-2 Solving Systems Using Substitution
Practice and Problem-Solving Exercises
Standardized Test Prep
Mixed Review
6-3 Solving Systems Using Elimination
Practice and Problem-Solving Exercises
Standardized Test Prep
Mixed Review
Concept Byte: Matrices and Solving Systems
6-4 Applications of Linear Systems
Practice and Problem-Solving Exercises
Standardized Test Prep
Mixed Review
6 Mid-Chapter Quiz
6-5 Linear Inequalities
Practice and Problem-Solving Exercises
Standardized Test Prep
Mixed Review
6-6 Systems of Linear Inequalities
Practice and Problem-Solving Exercises
Standardized Test Prep
Mixed Review
Concept Byte: Graphing Linear Inequalities
6 Pull It All Together
6 Chapter Review
6-1 Solving Systems by Graphing
6-2 Solving Systems Using Substitution
6-3 and 6-4 Solving Systems Using Elimination; Applications of Systems
6-5 and 6-6 Linear Inequalities and Systems of Inequalities
6 Chapter Test
6 Cumulative Test Prep
Chapter 7 Exponents and Exponential Functions
Chapter 7 Get Ready!
7-1 Zero and Negative Exponents
Practice and Problem-Solving Exercises
Standardized Test Prep
Mixed Review
7-2 Scientific Notation
Practice and Problem-Solving Exercises
Standardized Test Prep
Mixed Review
7-3 Multiplying Powers With the Same Base
Practice and Problem-Solving Exercises
Standardized Test Prep
Mixed Review
Concept Byte: Powers of Powers and Powers of Products
7-4 More Multiplication Properties of Exponents
Practice and Problem-Solving Exercises
Standardized Test Prep
Mixed Review
7 Mid-Chapter Quiz
7-5 Division Properties of Exponents
Practice and Problem-Solving Exercises
Standardized Test Prep
Mixed Review
7-6 Exponential Functions
Practice and Problem-Solving Exercises
Standardized Test Prep
Mixed Review
Concept Byte: Geometric Sequences
7-7 Exponential Growth and Decay
Practice and Problem-Solving Exercises
Standardized Test Prep
Mixed Review
7 Pull It All Together
7 Chapter Review
7-1 Zero and Negative Exponents
7-2 Scientific Notation
7-3 and 7-4 Multiplication Properties of Exponents
7-5 Division Properties of Exponents
7-6 Exponential Functions
7-7 Exponential Growth and Decay
7 Chapter Test
7 Cumulative Test Prep
Chapter 8 Polynomials and Factoring
Chapter 8 Get Ready!
8-1 Adding and Subtracting Polynomials
Practice and Problem-Solving Exercises
Standardized Test Prep
Mixed Review
8-2 Multiplying and Factoring
Practice and Problem-Solving Exercises
Standardized Test Prep
Mixed Review
Concept Byte: Using Models to Multiply
8-3 Multiplying Binomials
Practice and Problem-Solving Exercises
Standardized Test Prep
Mixed Review
8-4 Multiplying Special Cases
Practice and Problem-Solving Exercises
Standardized Test Prep
Mixed Review
8 Mid-Chapter Quiz
Concept Byte: Using Models to Factor
8-5 Factoring x2 + bx + c
Practice and Problem-Solving Exercises
Standardized Test Prep
Mixed Review
8-6 Factoring ax2 + bx + c
Practice and Problem-Solving Exercises
Standardized Test Prep
Mixed Review
8-7 Factoring Special Cases
Practice and Problem-Solving Exercises
Standardized Test Prep
Mixed Review
8-8 Factoring by Grouping
Practice and Problem-Solving Exercises
Standardized Test Prep
Mixed Review
8 Pull It All Together
8 Chapter Review
8-1 Adding and Subtracting Polynomials
8-2 Multiplying and Factoring
8-3 and 8-4 Multiplying Binomials
8-5 and 8-6 Factoring Quadratic Trinomials
8-7 Factoring Special Cases
8-8 Factoring by Grouping
8 Chapter Test
8 Cumulative Test Prep
Chapter 9 Quadratic Functions and Equations
Chapter 9 Get Ready!
9-1 Quadratic Graphs and Their Properties
Practice and Problem-Solving Exercises
Standardized Test Prep
Mixed Review
9-2 Quadratic Functions
Practice and Problem-Solving Exercises
Standardized Test Prep
Mixed Review
Concept Byte: Collecting Quadratic Data
9-3 Solving Quadratic Equations
Practice and Problem-Solving Exercises
Standardized Test Prep
Mixed Review
Concept Byte: Finding Roots
9-4 Factoring to Solve Quadratic Equations
Practice and Problem-Solving Exercises
Standardized Test Prep
Mixed Review
9 Mid-Chapter Quiz
9-5 Completing the Square
Practice and Problem-Solving Exercises
Standardized Test Prep
Mixed Review
9-6 The Quadratic Formula and the Discriminant
Practice and Problem-Solving Exercises
Standardized Test Prep
Mixed Review
9-7 Linear, Quadratic, and Exponential Models
Practice and Problem-Solving Exercises
Standardized Test Prep
Mixed Review
Concept Byte: Performing Regressions
9-8 Systems of Linear and Quadratic Equations
Practice and Problem-Solving Exercises
Standardized Test Prep
Mixed Review
9 Pull It All Together
9 Chapter Review
9-1 and 9-2 Graphing Quadratic Functions
9-3 and 9-4 Solving Quadratic Equations
9-5 Completing the Square
9-6 The Quadratic Formula and the Discriminant
9-7 Linear, Quadratic, and Exponential Models
9-8 Systems of Linear and Quadratic Equations
9 Chapter Test
9 Cumulative Test Prep
Chapter 10 Radical Expressions and Equations
Chapter 10 Get Ready!
10-1 The Pythagorean Theorem
Practice and Problem-Solving Exercises
Standardized Test Prep
Mixed Review
Concept Byte: Distance and Midpoint Formulas
10-2 Simplifying Radicals
Practice and Problem-Solving Exercises
Standardized Test Prep
Mixed Review
10-3 Operations With Radical Expressions
Practice and Problem-Solving Exercises
Standardized Test Prep
Mixed Review
10 Mid-Chapter Quiz
10-4 Solving Radical Equations
Practice and Problem-Solving Exercises
Standardized Test Prep
Mixed Review
10-5 Graphing Square Root Functions
Practice and Problem-Solving Exercises
Standardized Test Prep
Mixed Review
Concept Byte: Right Triangle Ratios
10-6 Trigonometric Ratios
Practice and Problem-Solving Exercises
Standardized Test Prep
Mixed Review
10 Pull It All Together
10 Chapter Review
10-1 The Pythagorean Theorem
10-2 Simplifying Radicals
10-3 Operations With Radical Expressions
10-4 Solving Radical Equations
10-5 Graphing Square Root Functions
10-6 Trigonometric Ratios
10 Chapter Test
10 Cumulative Test Prep
Chapter 11 Rational Expressions and Functions
Chapter 11 Get Ready!
11-1 Simplifying Rational Expressions
Practice and Problem-Solving Exercises
Standardized Test Prep
Mixed Review
11-2 Multiplying and Dividing Rational Expressions
Practice and Problem-Solving Exercises
Standardized Test Prep
Mixed Review
Concept Byte: Dividing Polynomials Using Algebra Tiles
11-3 Dividing Polynomials
Practice and Problem-Solving Exercises
Standardized Test Prep
Mixed Review
11-4 Adding and Subtracting Rational Expressions
Practice and Problem-Solving Exercises
Standardized Test Prep
Mixed Review
11 Mid-Chapter Quiz
11-5 Solving Rational Equations
Practice and Problem-Solving Exercises
Standardized Test Prep
Mixed Review
11-6 Inverse Variation
Practice and Problem-Solving Exercises
Standardized Test Prep
Mixed Review
11-7 Graphing Rational Functions
Practice and Problem-Solving Exercises
Standardized Test Prep
Mixed Review
Concept Byte: Graphing Rational Functions
11 Pull It All Together
11 Chapter Review
11-1 Simplifying Rational Expressions
11-2 and 11-3 Multiplying and Dividing Rational Expressions and Dividing Polynomials
11-4 Adding and Subtracting Rational Expressions
11-5 Solving Rational Equations
11-6 Inverse Variation
11-7 Graphing Rational Functions
11 Chapter Test
11 Cumulative Test Prep
Chapter 12 Data Analysis and Probability
Chapter 12 Get Ready!
12-1 Organizing Data Using Matrices
Practice and Problem-Solving Exercises
Standardized Test Prep
Mixed Review
12-2 Frequency and Histograms
Practice and Problem-Solving Exercises
Standardized Test Prep
Mixed Review
12-3 Measures of Central Tendency and Dispersion
Practice and Problem-Solving Exercises
Standardized Test Prep
Mixed Review
Concept Byte: Standard Deviation
12-4 Box-and-Whisker Plots
Practice and Problem-Solving Exercises
Standardized Test Prep
Mixed Review
Concept Byte: Designing Your Own Survey
12-5 Samples and Surveys
Practice and Problem-Solving Exercises
Standardized Test Prep
Mixed Review
Concept Byte: Misleading Graphs and Statistics
12 Mid-Chapter Quiz
12-6 Permutations and Combinations
Practice and Problem-Solving Exercises
Standardized Test Prep
Mixed Review
12-7 Theoretical and Experimental Probability
Practice and Problem-Solving Exercises
Standardized Test Prep
Mixed Review
Concept Byte: Conducting Simulations
12-8 Probability of Compound Events
Practice and Problem-Solving Exercises
Standardized Test Prep
Mixed Review
Concept Byte: Conditional Probability
12 Pull It All Together
12 Chapter Review
12-1 Organizing Data Using Matrices
12-2 Frequency and Histograms
12-3 Measures of Central Tendency and Dispersion
12-4 Box-and-Whisker Plots
12-5 Samples and Surveys
12-6 Permutations and Combinations
12-7 Theoretical and Experimental Probability
12-8 Probability of Compound Events
12 Chapter Test
End-of-Course Assessment to Prepare for the Algebra I ADP End-of-Course Exam
Skills Handbook
Prime Numbers and Composite Numbers
Factors and Multiples
Using Estimation
Simplifying Fractions
Fractions and Decimals
Adding and Subtracting Fractions
Multiplying and Dividing Fractions
Fractions, Decimals, and Percents
Exponents
Perimeter, Area, and Volume
Line Plots
Bar Graphs
Line Graphs
Circle Graphs
Stem-and-Leaf Plots
Reference
Table 1 Measures
Table 2 Reading Math Symbols
Properties and Formulas
Chapter 1 Foundations for Algebra
Chapter 2 Solving Equations
Chapter 3 Solving Inequalities
Chapter 4 An Introduction to Functions
Chapter 5 Linear Functions
Chapter 6 Systems of Equations and Inequalities
Chapter 7 Exponents and Exponential Functions
Chapter 8 Polynomials and Factoring
Chapter 9 Quadratic Functions and Equations
Chapter 10 Radical Expressions and Equations
Chapter 11 Rational Expressions and Functions
Chapter 12 Data Analysis and Probability
Formulas of Geometry
Visual Glossary
Selected Answers
Index
Acknowledgments
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