Solving Equations with Diagrams

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

• 1

• 2

• 3

• 4

Which two equations match the hanger diagram?

• x + x + x = 1 + 1 + 1 + 1 + 1 + 1

• 3x = 6

• 2x = 6

• 3x = 5

• x + 3 = 6

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

• 8

• 4

• 20

• 16

Which three equations matches the hanger diagram?

• 2y + 3 = 11

• 3y + 2 = 11

• y + y + 3 = 11

• 2y = 11

• y + y + 1 + 1 + 1 = 11

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

• 3

• 8

• 1

• 2

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

• 12

• 6

• 3

• 16

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

• 6

• 2

• 3

• 1/2

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

• 24

• 12

• 6

• 4

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