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Course Contents

Solve Systems by Elimination

Course Contents at a Glance

Putting it Together: Linear Systems

Learning Outcomes

Module 7: Exponents

Module 0: Review

Why It Matters: Exponents

Why It Matters: Review

Introduction to Applying Exponent Rules

Fractions

Terms and Expressions with Exponents

Real Numbers

Product and Quotient Rules

Percent

The Power Rule for Exponents

Introduction to Using the Order of Operations

Negative and Zero Exponent Rules

Simplify Expressions With the Order of Operations

Find the Power of a Product and a Quotient

Use the Distributive Property to Simplify

Putting It Together: Exponents

Introduction to Arithmetic With Fractions

Module 8: Polynomials and Polynomial Functions

Adding and Subtracting Fractions

Why It Matters: Polynomials

Multiplying Fractions

Introduction to Algebraic Operations on Polynomials

Dividing Fractions

Define and Evaluate Polynomials

Putting It Together: Review

Sums and Products of Polynomials

Module 1: Real Numbers and Algebraic Expressions

Multiply a Trinomial and a Binomial

Why It Matters: Real Numbers and Algebraic Expressions

Divide Polynomials Part I

Introduction to Classifying and Defining Properties of Real Numbers

Divide Polynomials Part II

Classify Real Numbers

Putting it Together: Polynomials and Polynomial Functions

Use Properties of Real Numbers

Module 9: Factoring

Evaluate Algebraic Expressions

Why It Matters: Factoring

Introduction to Solving Multi-Step Linear Equations

Introduction to Factoring Trinomials

Multi-Step Equations

The Greatest Common Factor

Solve Equations with the Distributive Property

Factor a Trinomial with Leading Coefficient = 1

Classify Solutions to Linear Equations

Introduction to Special Cases

Introduction to Problem Solving

Special Cases - Squares

Set Up a Linear Equation to Solve an Application

Projectiles

Solve an Application Using a Formula

Pythagorean Theorem

Putting It Together: Real Numbers and Algebraic Expressions

Putting It Together: Factoring

Module 2: Linear Inequalities

Module 10: Rational Expressions and Equations

Why It Matters: Linear Inequalities

Why It Matters: Rational Expressions and Equations

Introduction to Solving Single-Step and Multi-Step Inequalities

Introduction to Operations With Rational Expressions

Describe Solutions to Inequalities

Define and Simplify Rational Expressions

Solve Inequalities

Multiply and Divide Rational Expressions

Introduction to Solving Compound Inequalities

Add and Subtract Rational Expressions

Describe Sets as Intersections or Unions

Complex Rational Expressions

Solve Compound Inequalities—OR

Introduction to Rational Equations and Their Applications

Solve Compound Inequalities—AND

Solve Rational Equations

Solve Absolute Value Inequalities

Proportions

Putting it Together: Linear Inequalities

Applications with Rational Equations

Module 3: Graph Linear Equations and Inequalities

Putting It Together: Rational Expressions and Equations

Why It Matters: Graph Linear Equations and Inequalities

Module 11: Roots and Rational Exponents

Introduction to Graphing Linear Equations in Two Variables

Why It Matters: Roots and Rational Exponents

Graph Linear Equations

Introduction to Simplifying Roots and Rational Exponents

Graph Using Intercepts

Define and Evaluate Roots

Introduction to Graphing Linear Inequalities

Radical Expressions and Rational Exponents

Putting it Together: Graph Linear Equations and Inequalities

Simplify Radical Expressions

Module 4: Functions and Function Notation

Introduction to Algebraic Operations with Radical Expressions

Why It Matters: Functions and Function Notation

Multiply and Divide Radical Expressions

Introduction to Functions and Their Notation

Add and Subtract Radical Expressions

Define a Function

Multiple Term Radicals

Function Notation

Rationalize Denominators

Evaluate Functions

Introduction to Equations with Radicals

Introduction to Graphs of Functions

Solve Radical Equations

Graph Linear Functions

Applications with Radical Equations

Graph Quadratic Functions

Putting it Together: Roots and Rational Exponents

Introduction to Domain and Range

Module 12: Quadratic Equations and Complex Numbers

Domain Restrictions

Why It Matters: Quadratic Equations and Complex Numbers

Find Domain and Range From a Graph

Introduction to Quadratic Equations

Putting it Together: Functions

Quadratic Equations

Module 5: Linear Functions

Square Roots and Completing the Square

Why it Matters: Linear Functions

The Quadratic Formula

Introduction to Characteristics of Linear Functions and Their Graphs

Introduction to Complex Numbers

Calculate and Interpret Slope

Imaginary and Complex Numbers

Graph Linear Functions Using Slope and y-Intercept

Add and Subtract Complex Numbers

Introduction to Equations of Linear Functions

Multiply and Divide Complex Numbers

Write the Equation of a Linear Function Part I

Introduction to Quadratic Equations with Complex Solutions

Write the Equation of a Linear Function Part II

Quadratic Equations With Complex Solutions

Model an Application With a Linear Function

The Discriminant

Putting it Together: Linear Functions

Putting it Together: Quadratic Equations and Complex Numbers

Module 6: Linear Systems

Removed Links

Why It Matters: Systems of Equations and Inequalities

Introduction to Polynomial Functions

Introduction to Solving Systems in Two Variables

Define and Identify Polynomial Functions

Solutions for Systems of Linear Equations

Graphs of Polynomial Functions

Solve Systems by Substitution