Hanger Diagrams

Front

What is a hanger diagram?

Back

A visual representation used to illustrate equations, showing how different variables relate to each other, often resembling a balance scale.

Tags

CCSS.8.EE.C.7B

Front

What does the equation 2y + 10 = 31 represent in a hanger diagram?

Back

It shows that the total weight on one side (2y + 10) is equal to the total weight on the other side (31).

Tags

CCSS.6.EE.B.6

Front

How do you solve the equation 2y + 10 = 31?

Back

Subtract 10 from both sides to get 2y = 21, then divide by 2 to find y = 10.5.

Tags

CCSS.7.EE.B.4A

Front

What is the significance of the number 4 in the equation 4w + 1.5 = 8.5?

Back

It indicates that there are 4 units of the variable w contributing to the total weight.

Tags

CCSS.HSF.LE.B.5

Front

What does the equation 14 = 2x + 6 represent?

Back

It indicates that the total weight of 14 is balanced by 2 times the variable x plus 6.

Tags

CCSS.HSA.CED.A.3

Front

How do you isolate the variable x in the equation 14 = 2x + 6?

Back

Subtract 6 from both sides to get 8 = 2x, then divide by 2 to find x = 4.

Tags

CCSS.7.EE.B.4A

Front

What is the purpose of using equations in hanger diagrams?

Back

To represent relationships between different quantities and to solve for unknown variables.

Tags

CCSS.8.EE.C.7B

Front

What does the equation 7 = 3w + 1 represent in a hanger diagram?

Back

It shows that the total weight of 7 is equal to 3 times the variable w plus 1.

Tags

CCSS.HSA.CED.A.3

Front

How can you check if your solution for w in the equation 7 = 3w + 1 is correct?

Back

Substitute your value of w back into the equation to see if both sides are equal.

Tags

CCSS.6.EE.B.5

Front

What is the first step in solving the equation 2 + 5x = 19?

Back

Subtract 2 from both sides to get 5x = 17.

Tags

CCSS.7.EE.B.4A