Exploring Multi-Step Equations in Algebra

The video tutorial explains how to solve for a mystery mass Y using algebraic methods. It begins by setting up an equation to represent the balance of masses on a scale. The tutorial then demonstrates how to simplify the equation by removing equal masses from both sides, ultimately isolating Y. The solution is verified by checking the total mass on each side of the scale, confirming that the mystery mass Y is 2 kilograms.

What symbol is used to represent the mystery mass in the problem?

• X

• Y

• M

• Z

How many 1kg boxes are on the right side of the scale initially?

• 7

• 5

• 3

• 9

What is the first step suggested to start solving the problem?

• Add more weights

• Guess the weight of Y

• Remove a Y from both sides

• Remove 3 boxes from one side

What happens when you remove a Y from both sides of the scale?

• It becomes impossible to solve

• There are no more Ys left

• The scale remains balanced

• The scale becomes unbalanced

Why is it important to perform the same operation on both sides of the equation?

• To ensure the scale remains balanced

• To increase the value of Y

• To make Y disappear

• To keep the equation simple

After removing 3 blocks from each side, what is the equation simplified to?

• 2Y = 7

• 2Y = 4

• Y = 3

• Y = 4

What algebraic operation is performed to isolate Y in the equation 2Y = 4?

• Subtraction of 2

• Division by 2

• Addition of 2

• Multiplication by 2

What is the final value of Y after solving the equation?

• 2 kg

• 4 kg

• 1 kg

• 3 kg

How do we verify the solution for Y is correct?

• By adding more weights

• By checking the balance of the scale

• By guessing

• By recalculating the total mass on each side

What is the total mass on each side of the scale after solving for Y?

• 9 kilograms

• 8 kilograms

• 7 kilograms

• 6 kilograms