Algebra

Chapter 1: Foundations of Algebra

• 1.1 Variables and Expressions
• 1.2 Adding and Subtracting Real Numbers
• 1.3 Multiplying and Dividing Real Numbers
• 1.4 Powers and Exponents
• 1.5 Square Roots and Real Numbers
• 1.6 Order of Operations
• 1.7 Simplifying Expressions
• 1.8 Introduction to Functions

Chapter 2: Equations

• 2.1 Solving Equations by Adding and Subtracting
• 2.2 Solving Equations by Multiplying and Dividing
• 2.3 Solving Two-Step and Multi-Step Equations
• 2.4 Solving Equations with Variables on Both Sides
• 2.5 Solving for a Variable
• 2.6 Rates, ratios, and Proportions
• 2.7 Applications of Proportions
• 2.8 Percents
• 2.9 Applications of Percents
• 2.10 Percent of Increase and Decrease

Chapter 3: Inequalities

• 3.1 Graphing and Writing Inequalities
• 3.2 Solving Inequalities by Adding and Subtracting
• 3.3 Solving Inequalities by Multiplying and Dividing
• 3.4 Solving Two-Step and Multi-Step Inequalities
• 3.5 Solving Inequalities with Variables on Both Sides
• 3.6 Solving Compound Inequalities

Chapter 4: Functions

• 4.1 Graphing Relationships
• 4.2 Relations and Functions
• 4.3 Writing Functions
• 4.4 Graphing Functions
• 4.5 Scatter Plots and Trend Lines
• 4.6 Arithmetic Sequences

Chapter 5: Linear Functions

• 5.1 Identifying Linear Functions
• 5.2 Using Intercepts
• 5.3 Rates of Change and Slope
• 5.4 The Slope Formula
• 5.5 Direct Variation
• 5.6 Slope-Intercept Form
• 5.7 Point-Slope Form
• 5.8 Slopes of Parallel and Perpendicular Lines
• 5.9 Transforming Linear Functions

Chapter 6: Systems of Equations and Inequalities

• 6.1 Solving Systems by Graphing
• 6.2 Solving Systems by Substitution
• 6.3 Solving Systems by Elimination
• 6.4 Solving Special Systems
• 6.5 Solving Linear Inequalities
• 6.6 Solving Systems of Linear Inequalities

Chapter 7: Exponents and Polynomials

• 7.1 Integer Exponents
• 7.2 Powers of 10 and Scientific Notation
• 7.3 Multiplication Properties of Exponents
• 7.4 Division Properties of Exponents
• 7.5 Polynomials
• 7.6 Adding and Subtracting Polynomials
• 7.7 Multiplying Polynomials
• 7.8 Special Products of Polynomials

Chapter 8: Factoring Polynomials

• 8.1 Factors and Greatest Common Factors
• 8.2 Factoring by GCF
• 8.3 Factoring //x2 + bx + c//
• 8.4 Factoring //ax2 + bx + c//
• 8.5 Factoring Special Products
• 8.6 Choosing a Factoring Method

Chapter 9: Quadratic Functions and Equations

• 9.1 Identifying Quadratic Functions
• 9.2 Characteristics of Quadratic Functions
• 9.3 Graphing Quadratic Functions
• 9.4 Transforming Quadratic Functions
• 9.5 Solving Quadratic Equations by Graphing
• 9.6 Solving Quadratic Equations by Factoring
• 9.7 Solving Quadratic Equations by Using Square Roots
• 9.8 Completing the Square
• 9.9 The Quadratic Formula and the Discriminant

Chapter 10: Data Analysis and Probability

• 10.1 Organizing and Displaying Data
• 10.2 Frequency and Histograms
• 10.3 Data Distributions
• 10.4 Misleading Graphs and Statistics
• 10.5 Experimental Probability
• 10.6 Theoretical Probability
• 10.7 Independent and Dependent Events
• 10.8 Combinations and Permutations

Chapter 11: Exponential and Radical Functions

• 11.1 Geometric Sequences
• 11.2 Exponential Functions
• 11.3 Exponential Growth and Decay
• 11.4 Linear, Quadratic, and Exponential Models
• 11.5 Square-Root Functions
• 11.6 Radical Expressions
• 11.7 Adding and Subtracting Radical Expressions
• 11.8 Multiplying and Dividing Radical Expressions
• 11.9 Solving Radical Equations

Chapter 12: Rational Functions and Equations

• 12.1 Inverse Variation
• 12.2 Rational Functions
• 12.3 Simplifying Rational Expressions
• 12.4 Multiplying and Dividing Rational Expressions
• 12.5 Adding and Subtracting Rational Expressions
• 12.6 Dividing Polynomials
• 12.7 Solving Rational Equations