Solving Equation Using Hanger

If the purple heart = 2, what does the red quadrilateral have to equal to make the hanger balanced?

• 1

• 2

• 3

• 4

If the red circle = 4, what does the blue triangle have to equal to make the hanger balanced?

• 12

• 6

• 3

• 16

If the red square = 4, what does the red quadrilaterablue heart have to equal to make the hanger balanced?

• 8

• 4

• 20

• 16

If the green moon = 6 , what does the purple tear drop equal to make the hanger balanced?

• 24

• 12

• 6

• 4

Which equation(s) match the hanger diagram?

• x + x + x = 1 + 1 + 1 + 1 + 1 + 1

• 3x = 6

• 2x = 6

• 3x = 5

• x + 3 = 6

Which equation(s) matches the hanger diagram?

• 2y + 3 = 11

• 3y + 2 = 11

• y + y + 3 = 11

• 2y = 11

• y + y + 1 + 1 + 1 = 11

What value of z makes the hanger balanced?

• 9

• 6

• 3

• 1.5

In this diagram:

• x represents the weight of each triangle.

• 2 is the weight of each circle.

Select an equation that could represent a balanced hanger.

• 6x+4 = 2x+8

• 2x+2 = 4x+2

• 2x+12 = 4x+4

red square = -1

blue heart = z

What would be the equation?

• 2z - 1 = -5

• 2z + 1 = 5

• z - 1 = 5

Hangers A and B are both balanced. In this diagram:

• x represents the weight of each triangle (in pounds).

• 5 is the weight of each square (in pounds).

Write an equation to represent Hanger B.

• 4x+15 = 6x+20

• 6x+15 = 4x+20

• 6x+3 = 4x+4