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Course Contents

Read: Writing Scientific Notation

Course Contents at a Glance

Read: Multiply and Divide Numbers in Scientific Notation

Learning Outcomes

Read: Problem Solving With Scientific Notation

Module 0: Review

Putting It Together: Exponents

Why It Matters: Review

Module 8: Polynomials and Polynomial Functions

Introduction: Use the Order of Operations

Why It Matters: Polynomials

Read: Simplify Expressions With the Order of Operations

Introduction: Algebraic Operations on Polynomials

Read: Use the Distributive Property to Simplify

Read: Define and Evaluate Polynomials

Introduction: Arithmetic With Fractions

Read: Sums and Products of Polynomials

Read: Adding and Subtracting Fractions

Read: Multiply a Trinomial and a Binomial

Read: Multiplying Fractions

Read: Divide Polynomials Part I

Read: Dividing Fractions

Read: Divide Polynomials Part II

Putting It Together: Review

Introduction: Polynomial Functions

Module 1: Real Numbers and Algebraic Expressions

Read: Define and Identify Polynomial Functions

Why It Matters: Real Numbers and Algebraic Expressions

Read: Graphs of Polynomial Functions

Introduction: Classify and Define Properties of Real Numbers

Read: Algebra of Polynomial Functions

Read: Classify Real Numbers

Putting it Together: Polynomials and Polynomial Functions

Read: Use Properties of Real Numbers

Module 9: Factoring

Read: Evaluate Algebraic Expressions

Why It Matters: Factoring

Introduction: Solve Multi-Step Linear Equations

Introduction: Factor Trinomials

Read: Multi-Step Equations

Read: The Greatest Common Factor

Read: Solve Equations with the Distributive Property

Read: Factor a Trinomial with Leading Coefficient = 1

Read: Classify Solutions to Linear Equations

Read: Factor by Grouping

Introduction: Problem Solving

Introduction: Special Cases

Read: Set Up a Linear Equation to Solve an Application

Read: Special Cases - Squares

Read: Solve an Application Using a Formula

Read: Special Cases - Cubes

Putting It Together: Real Numbers and Algebraic Expressions

Read: More Factoring Methods

Module 2: Linear Inequalities

Introduction: Polynomial Equations

Why It Matters: Linear Inequalities

Read: Solve Polynomial Equations

Introduction: Solve Single- and Multi-Step Inequalities

Read: Projectiles

Read: Describe Solutions to Inequalities

Read: Pythagorean Theorem

Read: Solve Inequalities

Putting It Together: Factoring

Introduction: Solve Compound Inequalities

Module 10: Rational Expressions and Equations

Read: Describe Sets as Intersections or Unions

Why It Matters: Rational Expressions and Equations

Read: Solve Compound Inequalities—OR

Introduction: Operations With Rational Expressions

Read: Solve Compound Inequalities—AND

Read: Define and Simplify Rational Expressions

Read: Solve Absolute Value Inequalities

Read: Multiply and Divide Rational Expressions

Putting it Together: Linear Inequalities

Read: Add and Subtract Rational Expressions

Module 3: Graph Linear Equations and Inequalities

Read: Complex Rational Expressions

Why It Matters: Graph Linear Equations and Inequalities

Introduction: Rational Equations and Their Applications

Introduction: Graph Linear Equations in Two Variables

Read: Solve Rational Equations

Read: Graph Linear Equations

Read: Proportions

Read: Graph Using Intercepts

Read: Variation

Introduction: Graph Linear Inequalities

Read: Applications with Rational Equations

Read: Graph an Inequality in Two Variables

Putting It Together: Rational Expressions and Equations

Read: Solution Sets of Inequalities

Module 11: Roots and Rational Exponents

Putting it Together: Graph Linear Equations and Inequalities

Why It Matters: Roots and Rational Exponents

Module 4: Functions and Function Notation

Introduction: Simplify Roots and Rational Exponents

Why It Matters: Functions and Function Notation

Read: Define and Evaluate Roots

Introduction: Functions and Their Notation

Read: Radical Expressions and Rational Exponents

Read: Define a Function

Read: Simplify Radical Expressions

Read: Function Notation

Introduction: Algebraic Operations with Radical Expressions

Read: Evaluate Functions

Read: Multiply and Divide Radical Expressions

Introduction: Graphs of Functions

Read: Add and Subtract Radical Expressions

Read: Graph Linear Functions

Read: Multiple Term Radicals

Read: Graph Quadratic Functions

Read: Rationalize Denominators

Read: Graph Radical Functions

Introduction: Equations with Radicals

Introduction: Domain and Range

Read: Solve Radical Equations

Read: Identify a One-to-One Function

Read: Applications with Radical Equations

Read: Domain Restrictions

Putting it Together: Roots and Rational Exponents

Read: Find Domain and Range From a Graph

Module 12: Quadratic Equations and Complex Numbers

Putting it Together: Functions

Why It Matters: Quadratic Equations and Complex Numbers

Module 5: Linear Functions

Introduction: Quadratic Equations

Why it Matters: Linear Functions

Read: Quadratic Equations

Introduction: Characteristics of Linear Functions and Their Graphs

Read: Square Roots and Completing the Square

Read: Calculate and Interpret Slope

Read: The Quadratic Formula

Read: Graph Linear Functions Using Slope and y-Intercept

Introduction: Complex Numbers

Read: Transform Linear Functions

Read: Imaginary and Complex Numbers

Introduction: Equations of Linear Functions

Read: Add and Subtract Complex Numbers

Read: Write the Equation of a Linear Function Part I

Read: Multiply and Divide Complex Numbers

Read: Write the Equation of a Linear Function Part II

Introduction: Quadratic Equations with Complex Solutions

Read: Model an Application With a Linear Function

Read: Quadratic Equations With Complex Solutions

Introduction: Piecewise-Defined Linear Functions

Read: The Discriminant

Read: Define and Write Piecewise Functions

Putting it Together: Quadratic Equations and Complex Numbers

Read: Graph Piecewise Functions

Module 13: Exponential, and Logarithmic Functions

Putting it Together: Linear Functions

Why It Matters: Exponential and Logarithmic Functions

Module 6: Linear Systems

Introduction: Exponential Functions

Why It Matters: Systems of Equations and Inequalities

Read: Define and Evaluate Exponential Functions

Introduction: Solve Systems in Two Variables

Read: Exponential Functions with Base e

Read: Solutions for Systems of Linear Equations

Read: Graph Exponential Functions

Read: Solve Systems by Substitution

Introduction: Logarithmic Functions

Read: Solve Systems by Elimination

Read: Composite and Inverse Functions

Introduction: Systems of Equations in Three Variables

Read: Define Logarithmic Functions

Read: Systems of Three Equations in Three Variables

Read: Evaluate Logarithms

Read: Inconsistent and Dependent Systems in Three Variables

Read: Graphs of Logarithmic Functions

Read: Applications of Linear Equations in Three Variables

Putting it Together: Exponential and Logarithmic Functions

Introduction: Systems of Linear Inequalities

Module 14: Exponential and Logarithmic Equations

Read: Define Solutions to Systems of Linear Inequalities

Why It Matters: Exponential and Logarithmic Equations

Read: Graph Solutions to Systems of Linear Inequalities

Introduction: Logarithmic Properties

Read: Applications of Systems of Linear Inequalities

Read: Product Rule for Logarithms

Putting it Together: Linear Systems

Read: Quotient and Power Rules for Logarithms

Module 7: Exponents

Read: Expand and Condense Logarithms

Why It Matters: Exponents

Read: Change of Base

Introduction: Apply Exponent Rules

Introduction: Exponential and Logarithmic Equations

Read: Terms and Expressions with Exponents

Read: Exponential Equations with Like Bases

Read: Product and Quotient Rules

Read: Exponential Equations with Unlike Bases

Read: The Power Rule for Exponents

Read: Logarithmic Equations

Read: Negative and Zero Exponent Rules

Read: Applied Exponential and Logarithmic Equations

Read: Find the Power of a Product and a Quotient

Putting it Together: Exponential and Logarithmic Equations

Introduction: Scientific Notation