Number Machines & Balanced Moves

If we put 8 into this machine, what number will come out?

• 21

• 12

• 1.5

• 24

Nathan put a number into the machine, and 15

came out. What number did he put in the machine?

• 43

• 17

• 20.5

• -6.5

The number 5 was placed into this number machine, and 30

came out.

What could the first step in the number machine be?

• Add 12

• Subtract 12

• Multiply by 12

• Divide by 12

Paul put a number into this machine, and 9 came out. What number did Paul put in?

• 14

• 6.5

• 1

• 25

Which answer below will make the hanger balanced?

• Add 2 circles and 1 triangle to the right side.

• Add 1 triangle and 2 squares to the right side.

• Add 4 circles to the right side.

• You can't balance the hanger.

Find the weight of the circle.

• 9

• 3

• 6

• 7

If Hanger A is balanced, which of the following hangers are also balanced if they are made with the same squares and triangles?

(Select all that apply.)

• 
• 
• 
• 

Select the statement below that is true.

• 1 triangle equals 2 circles

• 1 triangle equals 4 circles

• 2 triangles equals 2 circles

• 2 triangles equals 1 circle

Hanger A balances.

Will Hanger B also balance?

• Yes

• No

Here is a balanced hanger. All of the weights are unknown. How would you change the number of shapes on it, but keep it in balance?

(Select all that apply)

• Subtract 1 square from both sides

• Subtract 2 squares from both sides

• Subtract 3 squares from both sides

• Subtract 4 squares from both sides