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YouTube

Basic Equations

Eddie Woo via YouTube

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Overview

Dive into a comprehensive 4.5-hour video series on basic equations, covering everything from 1-step and 2-step equations to solving complex algebraic problems. Learn different approaches to equation solving, including balancing and backtracking methods. Explore the intricacies of working with mixed numerals, square roots, and squared variables. Gain a deeper understanding of algebraic concepts such as commutative, associative, and distributive laws. Practice translating word problems into algebraic equations and solving them effectively. Master techniques for handling equations with variables on both sides, brackets, and algebraic fractions. Conclude with an overview of probability concepts and tools, providing a well-rounded foundation in basic mathematical equations and problem-solving strategies.

Syllabus

1-Step & 2-Step Equations.
Discussion: Different Approaches to Solving One Equation.
Introduction to Solving Equations.
Solving Equations with Mixed Numerals.
Solving Equations: What happens when the pronumeral has a square root (√a)?.
Solving Equations: What happens when the pronumeral is squared (a²)?.
Review: Commutative, Associative & Distributive Laws.
Translating Words into Algebra.
Solving Equations by Collecting Like Terms (1 of 2).
Solving Equations by Collecting Like Terms (2 of 2).
Solving Equations with Expanding Brackets.
What's the difference between an expression & an equation?.
A Metaphor for Understanding Equations.
What is the 'solution' of an equation?.
Solving Equations w/ Algebraic Fractions (Example 1 of 3).
Solving Equations w/ Algebraic Fractions (Example 2 of 3).
Solving Equations w/ Algebraic Fractions (Example 3 of 3).
Balancing & Backtracking: 2 Approaches for 1-Step Equations.
Solving Algebraic Equations by Expanding Brackets.
Solving Simple Linear Equations (1-Step & 2-Step).
Solving Simple Linear Equations (Quick Questions #1).
Solving Equations w/ Variables on Both Sides.
Solving Simple Linear Equations (Quick Questions #2).
Solving Linear Equations w/ Brackets.
Solving Simple Linear Equations (Quick Questions #3).
Solving Simple Quadratic Equations.
Equations: Interpreting & Solving Word Problems.
Solving Equations (1 of 2: Reviewing Algebraic Equations).
Solving Equations (2 of 2: Using two methods to solve the same algebraic equation).
Equations & Formulas.
Probability Overview (summary of concepts & tools).
Solving Equations with Brackets (1 of 2: Review & introduction).
Solving Equations with Brackets (2 of 2: Trickier examples).
Solving Equation Problems (1 of 3: Reviewing abstract equations).
Solving Equation Problems (2 of 3: Using inverses to change the subject).
Solving Equation Problems (3 of 3: Translating to an equation).

Taught by

Eddie Woo

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