Solving Equations Using a Balance Scale

The video tutorial teaches how to solve equations using a balance scale. It emphasizes the importance of maintaining balance by removing equal items from both sides of the equation. The concept of substitution is explained, where a number replaces a variable. Common mistakes, such as failing to maintain balance, are highlighted. The tutorial provides a step-by-step guide to solving equations and introduces advanced techniques, ensuring a comprehensive understanding of the topic.

What is the key principle to remember when using a balance scale to solve equations?

• Remove the same items from both sides

• Divide one side by a number

• Add different items to both sides

• Multiply both sides by different numbers

What does substitution mean in the context of solving equations?

• Adding a number to both sides

• Replacing a variable with a number

• Dividing both sides by a constant

• Multiplying both sides by a variable

What common mistake do students often make when solving equations?

• Forgetting to remove the same item from both sides

• Forgetting to divide both sides by the same number

• Forgetting to multiply both sides by the same number

• Forgetting to add the same number to both sides

In the equation 3X + 3 = 2X + 5, what is the first step to isolate X?

• Remove 2X from both sides

• Multiply both sides by 2

• Divide both sides by 3

• Add 3 to both sides

When solving 2 + 5X = 3X + 8, what is the final step to find the value of X?

• Multiply both sides by 3

• Divide into equal groups

• Remove 3X from both sides

• Add 5 to both sides