Clarifying the Equation Question
The center of the hanger represents an equal sign, since both sides of the hanger are equal.
Given different coloured triangles and shapes, we can assign a variable to each of them.
Assigning Variables
Let one green triangle be equal to [tex]a[/tex].
Let one blue square be equal to [tex]b[/tex]
Let one red circle be equal to [tex]c[/tex].
Let one yellow pentagon be equal to [tex]d[/tex].
Creating Terms
On the left side of the hanger/equation, there are 3 green triangles. This means that one of our terms in our equation will be [tex]3a[/tex].
Under the triangles on the left side is 1 blue square. This means that the next term could be [tex]1b[/tex], or just [tex]b[/tex].
Next is 2 red circles ⇒ [tex]2c[/tex]
And finally are 3 yellow pentagons ⇒ [tex]3d[/tex]
To sum up the left side as an expression, we can write all the terms we have just written as a sum:
[tex]3a+b+2c+3d[/tex]
Now, after doing the same procedure for the right side of the hanger, we get:
[tex]2a+3b+c+2d[/tex]
Writing the Equation
For now, we only have two expressions representing the two sides of the hanger:
Left: [tex]3a+b+2c+3d[/tex]
Right: [tex]2a+3b+c+2d[/tex]
To turn these into an equation, we must have an equal sign.
Remember that both sides of the hanger are equal. Knowing this, we can state the following:
Left side = Right side
[tex]3a+b+2c+3d = 2a+3b+c+2d[/tex]
Answer:
[tex]3a+b+2c+3d = 2a+3b+c+2d[/tex]
