# Course: Prentice Hall • Algebra 1 • Common Core

• Chapter 1 Foundations for Algebra
• 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 Adding and Subtracting Real Numbers
• 1-6 Multiplying and Dividing Real Numbers
• 1-7 The Distributive Property
• 1-8 An Introduction to Equations
• 1-9 Patterns, Equations, and Graphs
• Chapter 2 Solving Equations
• 2-1 Solving One-Step Equations
• 2-2 Solving 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 Solving Proportions
• 2-8 Proportions and Similar Figures
• 2-9 Percents
• 2-10 Change Expressed as a Percent
• Chapter 3 Solving Inequalities
• 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
• Chapter 4 An Introduction to Functions
• 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 Arithmetic Sequences
• Chapter 5 Linear Functions
• 5-1 Rate of Change and Slope
• 5-2 Direct Variation
• 5-3 Slope-Intercept Form
• 5-4 Point-Slope Form
• 5-5 Standard Form
• 5-6 Parallel and Perpendicular Lines
• 5-7 Scatter Plots and Trend Lines
• 5-8 Graphing Absolute Value Functions
• Chapter 6 Systems of Equations and Inequalities
• 6-1 Solving Systems by Graphing
• 6-2 Solving Systems Using Substitution
• 6-3 Solving Systems Using Elimination
• 6-4 Applications of Linear Systems
• 6-5 Linear Inequalities
• 6-6 Systems of Linear Inequalities
• Chapter 7 Exponents and Exponential Functions
• 7-1 Zero and Negative Exponents
• 7-2 Multiplying Powers with the Same Base
• 7-3 More Multiplication Properties of Exponents
• 7-4 Division Properties of Exponents
• 7-5 Rational Exponents and Radicals
• 7-6 Exponential Functions
• 7-7 Exponential Growth and Decay
• 7-8 Geometric Sequences
• Chapter 8 Polynomials and Factoring
• 8-1 Adding and Subtracting Polynomials
• 8-2 Multiplying and Factoring
• 8-3 Multiplying Binomials
• 8-4 Multiplying Special Cases
• 8-5 Factoring 𝑥² + 𝑏𝑥 + 𝑐
• 8-6 Factoring 𝑎𝑥² + 𝑏𝑥 + 𝑐
• 8-7 Factoring Special Cases
• 8-8 Factoring by Grouping
• Chapter 9 Quadratic Functions and Equations
• 9-1 Quadratic Graphs and Their Properties
• 9-4 Factoring to Solve 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
• Chapter 10 Radical Expressions and Equations
• 10-1 Pythagorean Theorem
• 10-3 Operations with Radical Expressions
• 10-5 Graphing Square Root Functions
• 10-6 Trigonometric Ratios
• Chapter 11 Rational Expressions and Functions
• 11-1 Simplifying Rational Expressions
• 11-2 Multiplying and Dividing Rational Expressions
• 11-3 Dividing Polynomials
• 11-4 Adding and Subtracting Rational Expressions
• 11-5 Solving Rational Equations
• 11-6 Inverse Variation
• 11-7 Graphing Rational Functions
• Chapter 12 Data Analysis and Probability
• 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