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Intermediate Algebra

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