(E7) Balanced Moves

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

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

What can be crossed out on each side and still keep the mobile balanced?

• 1 trapezoid

• 2 circles

• 1 circle and 1 trapezoid

• 3 circles

Which equation represents the mobile with the trapezoid as the unknown?

• 20 = 2x + 8

• 5 = 2x + 2

• 16 = x + 8

• 20 = 2x + 4

What is the value of the trapezoid?

• 4

• 8

• 6

• 5

Which equation represents this mobile if the trapezoid is the unknown?

• 2x + 24 = x + 9

• 3x + 6 = 27

• 3x + 16 = 17

• 3x + 2 = 27

What is the value of the Trapezoid?

• 3

• 6

• 7

• 11

What moves can be made to keep the mobile balanced?

• Take away 4 squares on both sides

• Take away 2 circles on the left and 3 triangles on the right

• Take away 2 circles and 2 squares from both sides

• Take away 2 triangles on both sides

If the circle is 2 and each triangle is 1, which equation would help solve for the value of the square?

• 4x + 2 = 2x + 14

• x + 6 = 2x + 10

• 4x + 2 = 2x + 8

• 4x + 6 = 2x + 10