Complete the problems about using hanger diagrams to reason about the value of an unknown in an equation.
a. When the top bar in a hanger diagram is level, it means the hanger
diagram is balanced. That means the value of what is on one side is equal
to the value of what is on the other side. The hanger diagram at the right
models the equation 3x = 6. How can you use the diagram to find the
value of x?
count the X's in the circle
b. What does the hanger diagram show is the value of x?
The hanger diagram at the right models the equation
3x + 4 - 10. You can use this diagram to find the
value of x
a. If you add or remove the same amount from both
sides of the hanger diagram, it will stay balanced.
What can you remove from both sides of the
hanger so only variables are on the left side? Cross
off what you can remove
b. Fill in the blank to show the equation the hanger
diagram now models
3x
c. How can you use this hanger diagram to find the
value of x?
DISCUSS IT
Ask: What does it
mean if the bar in a
hanger diagram is not
level?
d. What does the diagrar bow is the value of
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a +
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