Exploring Hanger Models for Equation Representation

What does a balanced hanger indicate about the weights on both sides?

• They are unequal

• They are equal

• They are approximately equal

• No relationship

What is the equation formed from the first hanger model?

• 7 = 3 + w

• 7 = 3w + 1

• 3w = 7 + 1

• w = 7 + 3

How do we isolate 'w' in the equation 7 = 3w + 1?

• Add 1 to both sides

• Subtract 1 from both sides

• Multiply both sides by 3

• Divide both sides by 3

What value does 'w' represent in the first equation after simplification?

• w = 3

• w = 2

• w = 1

• w = 0

What operation is used to balance the equation 2z + 3 = 5?

• Addition

• Subtraction

• Multiplication

• Division

What is the value of 'z' after solving the equation 2z + 3 = 5?

• z = 2

• z = 1

• z = 3

• z = 0

How do we verify the solution of the equation 2z + 3 = 5?

• By adding the weights

• By subtracting the weights

• By multiplying the weights

• By dividing the weights

What is the initial equation for the third hanger model?

• x + 2 = 3

• 3x + 2 = 3

• 3x = 5

• 2x + 3 = 3

How is 'x' isolated in the equation 3x + 2 = 3?

• Adding 2 to both sides

• Dividing both sides by 3

• Subtracting 2 from both sides

• Multiplying both sides by 3

What does 'x' equal in the final solution of the third equation?

• x = 1/2

• x = 1/3

• x = 1

• x = 2