# Algebra 2

## Algebra 2, Part 1

**Rational Expressions**

Evaluating Rational Expressions

Restrictions on Rational Expressions

Equivalent Forms of Rational Expressions

Simplifying Rational Expressions

Sum of Rational Expressions

Difference of Rational Expressions

Product of Rational Expressions

Quotient of Rational Expressions

Common Denominators of Rational

Expressions

Sum of Rational Expressions

Difference of Rational Expressions

Review: Rational Expressions

**Graphs & Linear Equations**

The Coordinate Plane

Graphing Ordered Pairs

Solutions of Linear Equations as Ordered Pairs

Graphing a Linear Equation in 2 Variables

Graphing a Linear Inequality in 2 Variables

Slope of a Line from 2 Points

The y-Intercept of a Line

Using the Slope & y-Intercept to Graph a Line

Finding the Slope & y-Intercept from an Equation

Writing Equations in Slope-Intercept Form

Identifying Graphs from Their Equations

Parallel Lines & Their Slopes

Perpendicular Lines & Their Slopes

Equations of Parallel or Perpendicular Lines

Review: Graphs

**Linear Systems of Equations & Inequalities**

Solving Linear Systems of Equations:

Graphs

Classifying Linear Systems

Solving Linear Systems of Inequalities:

Graphs

Solving Linear Systems of Equations:

Substitution

Solving Linear Systems of Equations:

Addition

Solving Linear Systems of Equations:

Matrices 1

Solving Linear Systems of Equations:

Matrices 2

Solving Problems with Linear Systems

Review: Linear Systems

**Probability**

Chance Experiments & Probability

Determining the Probability of an Event

Multiplication Principle of Counting

Review: Probability

**Vectors**

Introduction to Vectors

Vector Addition

## Algebra 2, Part 2

**Numbers & Their Properties**

Rules for Exponents & Radicals

Rationalizing the Denominator in Rational

Expressions

Applying Rules for Exponents & Radicals

Scientific Notation

Simplifying Algebraic Expressions

Multiplying Algebraic Expressions

Factoring Algebraic Expressions

Factoring Sums & Differences of Perfect

Cubes

Factoring or Using the Quadratic Formula

Rational Expressions: Simplify

Rational Expressions: Add & Subtract

Rational Expressions: Multiply & Divide

**Special Equations & Inequalities**

Evaluating Expressions with Absolute Value

Absolute Value, Inequalities, & Interval

Notation

Graphing Linear Inequalities in 1 Variable

Graphing with Restrictions on the Variable

Graphing Solution Sets of Associated

Inequalities

**Coordinates & Curves**

Calculating the Slope of a Line

Point-Slope & Slope-Intercept Forms of

Equalities

Equation of a Line Given a Point & Parallel

Line

Equation of a Line Given a Point &

Perpendicular Line

Perpendicular Bisector of a Line Segment

Distance between 2 Points

Distance between a Point & a Line

Distance & Circles

Parabola & its Intercepts

Parabola & its Vertex

Ellipse

Hyperbola

Equations of Ellipses & Hyperbolas

**Functions & Their Graphs**

Defining a Function with its Rule

Finding Values of a Function Using its Rule

Equations & Graphs of Functions, Part 1

Equations & Graphs of Functions, Part 2

Translations & Transformations

Functional Values

Composite Functions

Domain Values of Composite Functions

Inverse of a Function

Determining if a Function Has an Inverse

Solving Problems with Linear Functions

Solving Problems with Quadratic Functions

**Exponential & Logarithmic Functions**

Properties of Exponential Functions

Properties of Logarithmic Functions

Recognizing Graphs of Types of Functions

Solving Problems: Exponential &

Logarithmic

Exponential Growth

Exponential Decay