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Introduction to Algebra - Variables, Expressions, Equations, and Inequalities

Math with Mr. J via YouTube

Overview

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Master fundamental algebra concepts through this comprehensive 15-hour 41-minute course covering variables, expressions, equations, inequalities, and graphing. Begin with basic variable evaluation and expression writing, then progress through solving one-step and two-step equations using addition, subtraction, multiplication, and division. Learn to work with inequalities, including when to flip inequality signs when multiplying or dividing by negative numbers, and practice graphing inequalities on number lines. Explore exponent rules including multiplying and dividing expressions with the same base, power of a power, and working with different bases. Advance to multi-step equations involving the distributive property, combining like terms, and variables on both sides. Study absolute value equations with various solution scenarios including no solution, one solution, and two solutions. Develop skills in solving and graphing both one-step and two-step inequalities, and conclude with an introduction to slope-intercept form, providing a solid foundation for advanced algebraic concepts.

Syllabus

Evaluate Expressions with Variables | Find the Value of an Expression
Solving Two-Step Equations | Algebra Equations
What is a Variable? | Variables in Math Introduction | Algebra
Variables, Expressions, and Equations | Math with Mr. J
What's the Difference Between Expressions and Equations?
How to Solve One-Step Equations (Addition and Subtraction) | Math with Mr. J
How to Solve One-Step Equations (Multiplication and Division) | Math with Mr. J
Solutions to Inequalities | Math with Mr. J
How to Read an Inequality | Math with Mr. J
Introduction to Inequalities | Math with Mr. J
Graphing Inequalities on Number Lines | Math with Mr. J
Writing Inequalities from Number Lines | Math with Mr. J
Solving One-Step Inequalities | Addition and Subtraction | Math with Mr. J
Solving One-Step Inequalities | Multiplication and Division | Math with Mr. J
When to Flip the Inequality Sign | Math with Mr. J
Why Do We Flip the Inequality Sign When Multiplying or Dividing by a Negative? | Math with Mr. J
How to Solve One-Step Inequalities | Math with Mr. J
Evaluating Expressions with Two Variables | Math with Mr. J
Writing Algebraic Expressions (One Operation) | Math with Mr. J
Writing Algebraic Expressions (Two Operations) | Math with Mr. J
Writing Numerical Expressions | Math with Mr. J
Writing Algebraic Expressions | Writing Expressions with Variables | Math with Mr. J
What is an Exponent? | An Intro to Exponents | Math with Mr. J
Multiplying Exponents with the Same Base | Exponent Rules | Math with Mr. J
Power of a Power | Exponent Rules | Math with Mr. J
Dividing Exponents with the Same Base | Exponent Rules | Math with Mr. J
Multiplying Exponents with Different Bases and the Same Exponent | Math with Mr. J
How to Evaluate Expressions with Variables | A Mini Course | Math with Mr. J
Exponential Form | How to Write Repeated Multiplication in Exponential Form
How to Simplify Numerical Expressions | Math with Mr. J
What are Numerical and Algebraic Expressions? | Algebra | Math with Mr. J
Determining if a Number is a Solution of an Equation | An Introduction | Algebra | Math with Mr. J
How to Solve One-Step Equations (Addition & Subtraction) | A Step-By-Step Intro | Math with Mr. J
How to Solve One-Step Equations (Multiplication & Division) | A Step-By-Step Intro | Math with Mr. J
How to Solve One-Step Equations | An Introductory Guide | Algebra
An Intro to Solving Two-Step Equations | Math with Mr. J
How to Solve Equations | One-Step & Two-Step | Math with Mr. J
Solving Two-Step Equations with Negatives | Math with Mr. J
Solving Two-Step Equations with Two Terms in the Numerator | Math with Mr. J
How to Solve Two-Step Equations | Math with Mr. J
Solving Equations by Combining Like Terms | Multi-Step Equations | Math with Mr. J
An Intro to Solving Equations with Variables on Both Sides | Multi-Step Equations | Math with Mr. J
Solving Equations with the Distributive Property on Both Sides | Multi-Step Equations
Solving Multi-Step Equations Using the Distributive Property & Combining Like Terms
Solving Multi-Step Equations | Distributive Property, Combining Like Terms, Variables on Both Sides
Solving Multi-Step Equations | Math with Mr. J
How to Solve Multi-Step Equations | A Mini Course | Math with Mr. J
Solving Equations | Algebra | Math with Mr. J
Solving Equations Using the Distributive Property | Multi-Step Equations | Math with Mr. J
Solving Multi-Step Equations Using the Distributive Property | Math with Mr. J
Absolute Value Equations | An Introduction | Math with Mr. J
Absolute Value Equations with No Solution | Math with Mr. J
Absolute Value Equations with One Solution | Math with Mr. J
Absolute Value Equations | One Solution or No Solution | Math with Mr. J
How to Solve Absolute Value Equations | Math with Mr. J
Solving Multi-Step Absolute Value Equations | Algebra | Math with Mr. J
Absolute Value Equations | Numbers Outside of the Absolute Value | Math with Mr. J
Absolute Value Equations with Two Solutions, One Solution, or No Solution | Math with Mr. J
Solving Absolute Value Equations | A Beginner's Guide | Math with Mr. J
Absolute Value Equations with Variables on Both Sides | Math with Mr. J
How to Write Inequalities from a Number Line | Math with Mr. J
How to Graph Inequalities on a Number Line | Math with Mr. J
An Intro to Inequalities on a Number Line | Graphing & Writing | Math with Mr. J
Graphing an Inequality on a Number Line
How to Solve One-Step Inequalities (Addition Inequalities) | Math with Mr. J
How to Solve One-Step Inequalities (Subtraction Inequalities) | Math with Mr. J
How to Solve One-Step Inequalities | Addition and Subtraction | Math with Mr. J
Solving and Graphing Addition Inequalities | Math with Mr. J
Solving and Graphing Subtraction Inequalities | Math with Mr. J
Solving and Graphing Inequalities | Addition and Subtraction | Math with Mr. J
How to Solve One-Step Inequalities (Multiplication Inequalities) | Math with Mr. J
How to Solve One-Step Inequalities (Division Inequalities) | Math with Mr. J
How to Solve One-Step Inequalities | Multiplication and Division | Math with Mr. J
Solving One-Step Inequalities | A Mini Course | Math with Mr. J
Solving and Graphing Division Inequalities | Math with Mr. J
Solving and Graphing Multiplication Inequalities | Math with Mr. J
Solving and Graphing Inequalities | Multiplication and Division | Math with Mr. J
How to Solve and Graph One-Step Inequalities | Math with Mr. J
Solving a Two-Step Inequality | Math with Mr. J
Solving a Two-Step Inequality (Example Involves Flipping the Inequality Symbol) | Math with Mr. J
How to Solve Two-Step Inequalities | Math with Mr. J
Solving Inequalities | One-Step and Two-Step Inequalities | Math with Mr. J
How to Solve Inequalities with Variables on Both Sides | Math with Mr. J
Solving and Graphing Two-Step Inequalities | Math with Mr. J
An Intro to Slope-Intercept Form | Math with Mr. J

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Math with Mr. J

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