Hanger Diagrams = Equations

Front

What is a hanger diagram?

Back

A visual representation used to show the balance of weights on either side of a central point, often used to illustrate equations.

Front

What does it mean for an equation to be balanced?

Back

An equation is balanced when both sides have the same value, indicating equality.

Front

What is the equation for a balanced hanger with weights represented as variables?

Back

The equation can be represented as a sum of weights on one side equal to the sum of weights on the other side.

Front

If 2y + 3 = 6, what is the value of y?

Back

y = 1.5

Front

What is the first step to solve the equation 2z + 3 = 5?

Back

Subtract 3 from both sides to isolate the term with the variable.

Front

What does the variable represent in an equation?

Back

A variable represents an unknown value that can change or vary.

Front

If the red square = 4, what does the blue heart equal to balance the hanger?

Back

The blue heart must equal 8.

Front

What is the value of v in the equation 2v + 3 = 15?

Back

v = 6.

Front

How do you check if an equation is balanced?

Back

Substitute the variable with its value and see if both sides of the equation are equal.

Front

What is the solution to the equation 5 = 3 - 2w?

Back

w = -1.