# 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 x2 + bx + c 7.8 Factoring ax2 + bx + c 7.9 Factoring Special Products Ext. Factoring Polynomials Completely Chapter 8 Graphing Quadratic Functions 8.1 Graphing y = ax2 8.2 Focus of a Parabola 8.3 Graphing y = ax2 + c 8.4 Graphing y = ax2 + 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