Algebra 1 – Topic List
1) Solving Linear Equations
Solving Simple Equations
Solving Multi-Step Equations
Solving Equations with Variables on Both Sides
Solving Absolute Value Equations
Rewriting Equations and Formulas
2) Graphing and Writing Linear Equations
Graphing Linear Equations
Slope of a Line
Slopes of Parallel and Perpendicular Lines
Graphing Linear Equations in Slope-Intercept Form
Graphing Linear Equations in Standard Form
Writing Equations in Slope-Intercept Form
Writing Equations in Point-Slope Form
Writing Equations of Parallel and Perpendicular Lines
Solving Real-Life Problems
3) Solving Linear Inequalities
Writing and Graphing Inequalities
Solving Inequalities Using Addition or Subtraction
Solving Inequalities Using Multiplication or Division
Solving Multi-Step Inequalities
Solving Compound Inequalities
Graphing Linear Inequalities in Two Variables
4) Solving Systems of Linear Equations
Solving Systems of Linear Equations by Graphing
Solving Systems of Linear Equations by Substitution
Solving Systems of Linear Equations by Elimination
Solving Special Systems of Linear Equations
Solving Linear Equations by Graphing
Systems of Linear Inequalities
5) Linear Functions
Domain and Range of a Function
Relations and Functions
Discrete and Continuous Domains
Linear Function Patterns
Function Notation
Special Functions
Comparing Linear and Nonlinear Functions
Arithmetic Sequences
6) Exponential Equations and Functions
Properties of Square Roots
Properties of Exponents
Radicals and Rational Exponents
Exponential Functions
Solving Exponential Equations
Exponential Growth
Exponential Decay
Geometric Sequences
7) Polynomial Equations and Factoring
Polynomials
Adding and Subtracting Polynomials
Multiplying Polynomials
Special Products of Polynomials
Solving Polynomial Equations in Factored Form
Factoring Polynomials Using the GCF
Factoring x^2 + bx + c
Factoring ax^2 + bx + c
Factoring Special Products
Factoring Polynomials Completely
8) Graphing Quadratic Functions
Graphing y = ax^2
Focus of a Parabola
Graphing y = ax^2 + c
Graphing y = ax^2 + bx + c
Graphing y = a(x – h)^2 + k
Comparing Linear, Exponential, and Quadratic Functions
Comparing Graphs of Functions
9) Solving Quadratic Equations
Solving Quadratic Equations by Graphing
Solving Quadratic Equations Using Square Roots
Solving Quadratic Equations by Completing the Square
Solving Quadratic Equations Using the Quadratic Formula
Choosing a Solution Method
Solving Systems of Linear and Quadratic Equations
10) Square Root Functions and Geometry
Graphing Square Root Functions
Rationalizing the Denominator
Solving Square Root Equations
The Pythagorean Theorem
Using the Pythagorean Theorem
11) Rational Equations and Functions
Direct and Inverse Variation
Graphing Rational Functions
Inverse of a Function
Simplifying Rational Expressions
Multiplying and Dividing Rational Expressions
Dividing Polynomials
Adding and Subtracting Rational Expressions
Solving Rational Expressions
12) Data Analysis and Displays
Measures of Central Tendency
Measures of Dispersion
Box-and-Whisker Plots
Shapes of Distributions
Scatter Plots and Lines of Fit
Analyzing Lines of Fit
