Linear Equations with Brackets | How to Expand and Solve

Описание: Watch the full course here:    • Linear Equations, Relations and Functions ...  

Don't let brackets stop you from finding $x$! 🛡️ Welcome to Video 7 of our Linear Equations, Relations and Functions series. In this lesson, we learn how to "unlock" equations by removing brackets correctly.

🎯 Lesson Objectives:

The Distributive Law: Learn the fundamental rule for expanding single and multiple brackets. We show you how to multiply the term outside by every term inside.

Maintaining Balance: See how to handle equations where brackets appear on both sides of the equals sign while keeping the equation perfectly balanced.

The "Negative Trap": We spend extra time on how to avoid the most common mistake in algebra—sign errors when multiplying by a negative number.

Simplifying to Solve: Learn the strategy of "Expand, Simplify, then Solve" to reduce complex-looking problems into the basic forms we mastered in the last video.

Why this matters: Most real-world algebraic models involve grouped terms. Whether you are dealing with interest rates or geometric dimensions, knowing how to distribute terms is essential for accurate problem-solving.

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The Sign Challenge: What happens to the signs inside the bracket when you multiply $-(x - 3)$? 🧐 Tell me the result in the comments!