# Algebra 1

## TABLE OF CONTENTS

Chapter 1 | |

Solving Linear Equations | |

1.1 | Solving Simple Equations |

1.2 | Solving Multi-Step Equations |

1.3 | Solving Equations with Variables on Both Sides |

Ext. | Solving Absolute Value Equations |

1.4 | Rewriting Equations and Formulas |

Chapter 2 | |

Graphing and Writing Linear Equations | |

2.1 | Graphing Linear Equations |

2.2 | Slope of a Line |

Ext. | Slopes of Parallel and Perpendicular Lines |

2.3 | Graphing Linear Equations in Slope-Intercept Form |

2.4 | Graphing Linear Equations in Standard Form |

2.5 | Writing Equations in Slope-Intercept Form |

2.6 | Writing Equations in Point-Slope Form |

Ext. | Writing Equations of Parallel and Perpendicular Lines |

2.7 | Solving Real-Life Problems |

Chapter 3 | |

Solving Linear Inequalities | |

3.1 | Writing and Graphing Inequalities |

3.2 | Solving Inequalities Using Addition or Subtraction |

3.3 | Solving Inequalities Using Multiplication or Division |

3.4 | Solving Multi-Step Inequalities |

Ext. | Solving Compound Inequalities |

3.5 | Graphing Linear Inequalities in Two Variables |

Chapter 4 | |

Solving Systems of Linear Equations | |

4.1 | Solving Systems of Linear Equations by Graphing |

4.2 | Solving Systems of Linear Equations by Substitution |

4.3 | Solving Systems of Linear Equations by Elimination |

4.4 | Special Systems of Linear Equations |

Ext. | Solving Linear Equations by Graphing |

4.5 | Systems of Linear Inequalities |

Chapter 5 | |

Linear Functions | |

5.1 | Domain and Range of a Function |

Ext. | Relations and Functions |

5.2 | Discrete and Continuous Domains |

5.3 | Linear Function Patterns |

5.4 | Function Notation |

Ext. | Special Functions |

5.5 | Comparing Linear and Nonlinear Functions |

5.6 | Arithmetic Sequences |

Chapter 6 | |

Exponential Equations and Functions | |

6.1 | Properties of Square Roots |

Ext. | Real Number Operations |

6.2 | Properties of Exponents |

6.3 | Radicals and Rational Exponents |

6.4 | Exponential Functions |

Ext. | Solving Exponential Equations |

6.5 | Exponential Growth |

6.6 | Exponential Decay |

6.7 | Geometric Sequences |

Ext. | Recursively-Defined Sequences |

Chapter 7 | |

Polynomial Equations and Factoring | |

7.1 | Polynomials |

7.2 | Adding and Subtracting Polynomials |

7.3 | Multiplying Polynomials |

7.4 | Special Products of Polynomials |

7.5 | Solving Polynomial Equations in Factored Form |

7.6 | Factoring Polynomials Using the GCF |

7.7 | Factoring x^{2} + bx + c |

7.8 | Factoring ax^{2} + bx + c |

7.9 | Factoring Special Products |

Ext. | Factoring Polynomials Completely |

Chapter 8 | |

Graphing Quadratic Functions | |

8.1 | Graphing y = ax^{2} |

8.2 | Focus of a Parabola |

8.3 | Graphing y = ax^{2} + c |

8.4 | Graphing y = ax^{2} + bx + c |

Ext. | Graphing y = a(x − h)^{2} + k |

8.5 | Comparing Linear, Exponential, and Quadratic Functions |

Ext. | Comparing Graphs of Functions |

Chapter 9 | |

Solving Quadratic Equations | |

9.1 | Solving Quadratic Equations by Graphing |

9.2 | Solving Quadratic Equations Using Square Roots |

9.3 | Solving Quadratic Equations by Completing the Square |

9.4 | Solving Quadratic Equations Using the Quadratic Formula |

Ext. | Choosing a Solution Method |

9.5 | Solving Systems of Linear and Quadratic Equations |

Chapter 10 | |

Square Root Functions and Geometry | |

10.1 | Graphing Square Root Functions |

Ext. | Rationalizing the Denominator |

10.2 | Solving Square Root Equations |

10.3 | The Pythagorean Theorem |

10.4 | Using the Pythagorean Theorem |

Chapter 11 | |

Rational Equations and Functions | |

11.1 | Direct and Inverse Variation |

11.2 | Graphing Rational Functions |

Ext. | Inverse of a Function |

11.3 | Simplifying Rational Expressions |

11.4 | Multiplying and Dividing Rational Expressions |

11.5 | Dividing Polynomials |

11.6 | Adding and Subtracting Rational Expressions |

11.7 | Solving Rational Equations |

Chapter 12 | |

Data Analysis and Displays | |

12.1 | Measures of Central Tendency |

12.2 | Measures of Dispersion |

12.3 | Box-and-Whisker Plots |

12.4 | Shapes of Distributions |

12.5 | Scatter Plots and Lines of Fit |

12.6 | Analyzing Lines of Fit |

12.7 | Two-Way Tables |

12.8 | Choosing a Data Display |

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