Solving Equations with Hangers

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 blue tear drop = 3, what does the green heart and blue quadrilateral have to equal to make the hanger balanced and also equal to 16?

• heart = 8 and quadrilateral = 16

• heart = 2 and quadrilateral = 8

• heart = 8 and quadrilateral = 2

• heart = 16 and quadrilateral = 8

If the orange quadrilateral = 4 and the red heart = 5, what does the blue circle equal to make the hanger balanced?

• 3

• 8

• 1

• 2

What is the value of x that makes this hanger balanced?

• 6

• 2

• 3

• 1/2

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

Which equation matches the hanger diagram?

• 2x + 6 = 9

• 2z + 6 = 9

• z + 6 = 9

• 2z = 9

What value of z makes the hanger balanced?

• 9

• 6

• 3

• 1.5

Which equation matches the tape diagram?

• 5(h + 2) = 20

• 5 + (h + 2) = 20

• 5h + 2 = 20

• h + 10 = 20

Find the value of h.

• 4

• 2

• 5

• 10