Hanger Diagrams

Front

What is a hanger diagram?

Back

A visual representation used to solve equations, showing the balance of weights on both sides.

Front

What does the variable 'z' represent in a hanger diagram?

Back

'z' typically represents an unknown quantity that needs to be solved for in the equation.

Front

What is the purpose of using equations in hanger diagrams?

Back

To express the relationship between different quantities and find unknown values.

Front

What does the equation 6.8 = 2z + 2.2 represent?

Back

It shows that the total weight of 6.8 is balanced by two times the unknown 'z' plus 2.2.

Front

How do you isolate a variable in an equation?

Back

By performing inverse operations to get the variable alone on one side of the equation.

Front

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

Back

Subtract 3 from both sides to isolate the term with 'z'.

Front

What does the equation 3(y + 200) = 3000 represent?

Back

It indicates that three times the sum of 'y' and 200 equals 3000.

Front

How can you check if your solution for 'x' is correct?

Back

By substituting the value of 'x' back into the original equation to see if both sides are equal.

Front

What is the solution to the equation 2 + 5x = 19?

Back

x = 3.4.

Front

What does it mean if an equation has no solution?

Back

It means that there is no value for the variable that can satisfy the equation.