Balancing Act: Mastering Simple Equations

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• Mathematics
• Further Education (Key Stage 5)

Balancing Act: Mastering Simple Equations

Learning objective

Learning Objective

At the end of the lesson, you will be able to solve simple algebraic equations using the balance method.

What do you already know about solving equations using the balance method?

Introduction to Equations

An equation shows that two expressions are equal. E.g., x + 3 = 7. The goal is to find the value of x.

The Balance Method

Treat the equation like a balance scale. What you do to one side, you must do to the other side.

Example 1: Solving x + 2 = 5

Subtract 2 from both sides: x + 2 - 2 = 5 - 2, so x = 3.

Example 2: Solving 2x = 8

Divide both sides by 2: 2x/2 = 8/2, so x = 4.

Interactive Activity: Solve x - 4 = 9

Add 4 to both sides: x - 4 + 4 = 9 + 4, so x = 13.

Common Mistakes

Avoid forgetting to perform operations on both sides. Double-check your steps.

Practice Problems

1. x + 5 = 10 2. 3x = 9 3. x - 2 = 4

Write down 3 things you learned in this lesson.

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