Algebra 1

TABLE OF CONTENTS

Chapter 1
Solving Linear Equations
1.1Solving Simple Equations
1.2Solving Multi-Step Equations
1.3Solving Equations with Variables on Both Sides
Ext.Solving Absolute Value Equations
1.4Rewriting Equations and Formulas
Chapter 2
Graphing and Writing Linear Equations
2.1Graphing Linear Equations
2.2Slope of a Line
Ext.Slopes of Parallel and Perpendicular Lines
2.3Graphing Linear Equations in Slope-Intercept Form
2.4Graphing Linear Equations in Standard Form
2.5Writing Equations in Slope-Intercept Form
2.6Writing Equations in Point-Slope Form
Ext.Writing Equations of Parallel and Perpendicular Lines
2.7Solving Real-Life Problems
Chapter 3
Solving Linear Inequalities
3.1Writing and Graphing Inequalities
3.2Solving Inequalities Using Addition or Subtraction
3.3Solving Inequalities Using Multiplication or Division
3.4Solving Multi-Step Inequalities
Ext.Solving Compound Inequalities
3.5Graphing Linear Inequalities in Two Variables
Chapter 4
Solving Systems of Linear Equations
4.1Solving Systems of Linear Equations by Graphing
4.2Solving Systems of Linear Equations by Substitution
4.3Solving Systems of Linear Equations by Elimination
4.4Special Systems of Linear Equations
Ext.Solving Linear Equations by Graphing
4.5Systems of Linear Inequalities
Chapter 5
Linear Functions
5.1Domain and Range of a Function
Ext.Relations and Functions
5.2Discrete and Continuous Domains
5.3Linear Function Patterns
5.4Function Notation
Ext.Special Functions
5.5Comparing Linear and Nonlinear Functions
5.6Arithmetic Sequences
Chapter 6
Exponential Equations and Functions
6.1Properties of Square Roots
Ext.Real Number Operations
6.2Properties of Exponents
6.3Radicals and Rational Exponents
6.4Exponential Functions
Ext.Solving Exponential Equations
6.5Exponential Growth
6.6Exponential Decay
6.7Geometric Sequences
Ext.Recursively-Defined Sequences
Chapter 7
Polynomial Equations and Factoring
7.1Polynomials
7.2Adding and Subtracting Polynomials
7.3Multiplying Polynomials
7.4Special Products of Polynomials
7.5Solving Polynomial Equations in Factored Form
7.6Factoring Polynomials Using the GCF
7.7Factoring x2 + bx + c
7.8Factoring ax2 + bx + c
7.9Factoring Special Products
Ext.Factoring Polynomials Completely
Chapter 8
Graphing Quadratic Functions
8.1Graphing y = ax2
8.2Focus of a Parabola
8.3Graphing y = ax2 + c
8.4Graphing y = ax2 + bx + c
Ext.Graphing y = a(xh)2 + k
8.5Comparing Linear, Exponential, and Quadratic Functions
Ext.Comparing Graphs of Functions
Chapter 9
Solving Quadratic Equations
9.1Solving Quadratic Equations by Graphing
9.2Solving Quadratic Equations Using Square Roots
9.3Solving Quadratic Equations by Completing the Square
9.4Solving Quadratic Equations Using the Quadratic Formula
Ext.Choosing a Solution Method
9.5Solving Systems of Linear and Quadratic Equations
Chapter 10
Square Root Functions and Geometry
10.1Graphing Square Root Functions
Ext.Rationalizing the Denominator
10.2Solving Square Root Equations
10.3The Pythagorean Theorem
10.4Using the Pythagorean Theorem
Chapter 11
Rational Equations and Functions
11.1Direct and Inverse Variation
11.2Graphing Rational Functions
Ext.Inverse of a Function
11.3Simplifying Rational Expressions
11.4Multiplying and Dividing Rational Expressions
11.5Dividing Polynomials
11.6Adding and Subtracting Rational Expressions
11.7Solving Rational Equations
Chapter 12
Data Analysis and Displays
12.1Measures of Central Tendency
12.2Measures of Dispersion
12.3Box-and-Whisker Plots
12.4Shapes of Distributions
12.5Scatter Plots and Lines of Fit
12.6Analyzing Lines of Fit
12.7Two-Way Tables
12.8Choosing a Data Display