Algebra 1
Algebra and Expressions
- Variable Expressions
- Exponents and Powers
- Powers and Order of Operations
- Algebra and the Distributive Property
- Combining Like Terms
- Simplifying Algebraic Expressions
Functions and Graphs
- An Introduction to Functions
- Graphs, Domain, and Range of Functions
- Testing for Functions
- Using Function Notation
Writing Linear Equations
- Slope-Intercept Form
- Point-Slope Form and Equations of Parallel Lines
- Writing Linear Equations Using Two Points
- Standard Form
- Modeling with Linear Functions
Exponents and Exponential Functions
- Multiplication Properties of Exponents
- Zero and Negative Exponents
- Graphs of Exponential Functions
- Division Properties of Exponents
- Scientific Notation
- Scientific Notation: Multiplying and Dividing
- Exponential Growth Functions
- Exponential Decay Functions
Rational Expressions and Equations
- Writing Proportions
- Solving Proportions
- Algebra and Proportions
- Inverse Variation
- Simplifying Rational Expressions
- Multiplying and Dividing Rational Expressions
- Adding and Subtracting with Like Denominators
- Adding and Subtracting with Unlike Denominators
- Rational Equations
Basics of Algebra
- Equations
- Inequalities
- Translating Verbal Expressions, Equations, and Inequalities
- Writing Ratios
- Writing Rates
Solving Linear Equations
- Solving an Equation Using Mental Math
- Solving Addition Equations
- Solving Subtraction Equations
- Solving Multiplication Equations
- Solving Division Equations
- Solving Multi-Step Equations
- Solving Equations with Variables on Both Sides
- Solving More Complicated Equations
- Solving Absolute-Value Equations
Solving and Graphing Linear Inequalities
- Graphing Inequalities
- Solving Inequalities Using Addition or Subtraction
- Solving Inequalities Using Multiplication or Division
- Solving Multi-Step Inequalities
- Solving Compound Inequalities Involving "And"
- Solving Compound Inequalities Involving "Or"
- Solving Absolute-Value Inequalities
- Graphing Linear Inequalities in Two Variables
Quadratic Equations and Functions
- Writing Square Roots
- Solving Quadratic Equations by Finding Square Roots
- Simplifying Radicals
- Graphing Quadratic Functions
- Solving Quadratic Equations by Graphing
- Solving Quadratic Equations by the Quadratic Formula
- Using the Discriminant
- Graphing Quadratic Inequalities
Radicals and Functions
- Functions Involving Square Roots
- Operations with Radical Expressions
- Solving Radical Equations
- Rational Exponents
- Solving Quadratic Equations by Completing the Square
Real Numbers
- The Real Number Line
- Absolute Value
- Adding Real Numbers
- Subtracting Real Numbers
- Multiplying Real Numbers
- Dividing Real Numbers
Graphing Linear Equations
- The Coordinate Plane
- Graphing Linear Equations
- Graphing Horizontal and Vertical Lines
- Graphing Lines Using Intercepts
- The Slope of a Line
- Direct Variation
- Graphing Lines Using Slope-Intercept Form
Systems of Linear Equations and Inequalities
- Graphing Linear Systems
- Solving Linear Systems by Substitution
- Solving Linear Systems by Linear Combinations
- Solutions of Linear Systems
- Systems of Linear Inequalities
Polynomials and Factoring
- Adding and Subtracting Polynomials
- Multiplying Polynomials
- Special Products of Polynomials
- Factoring x^2 + bx + c
- Factoring ax^2 + bx + c
- Factoring Special Products
- Cubic Polynomials and Factoring
Algebraic Connections to Geometry
- Equations of Perpendicular Lines
- The Pythagorean Theorem and Its Converse
- The Distance Formula
- The Midpoint Formula
- The Triangle Inequality