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Balance scales and equations

Name: _____________________ Date: __________

Show your thinking with numbers, words, or a drawing.

1. The scale balances. Each small cube has a mass of 1 kg. What is the mass of the box, in kilograms?

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2. The scale balances. Each small cube has a mass of 1 kg. What is the mass of the box, in kilograms?

?

3. The scale balances. Each small cube has a mass of 1 kg. What is the mass of the box, in kilograms?

?

4. The scale balances. Each small cube has a mass of 1 kg. What is the mass of the box, in kilograms?

?

5. The scale balances. Each small cube has a mass of 1 kg. What is the mass of the box, in kilograms?

?

Answer key · Balance scales and equations

1. 6

Take 3 cubes off each side, so the scale still balances.

Now the box is on its own and the right side has 9 − 3 = 6 cubes.

The box has a mass of 6 kg.

2. 8

Take 4 cubes off each side, so the scale still balances.

Now the box is on its own and the right side has 12 − 4 = 8 cubes.

The box has a mass of 8 kg.

3. 8

Take 3 cubes off each side, so the scale still balances.

Now the box is on its own and the right side has 11 − 3 = 8 cubes.

The box has a mass of 8 kg.

4. 5

Take 6 cubes off each side, so the scale still balances.

Now the box is on its own and the right side has 11 − 6 = 5 cubes.

The box has a mass of 5 kg.

5. 2

Take 2 cubes off each side, so the scale still balances.

Now the box is on its own and the right side has 4 − 2 = 2 cubes.

The box has a mass of 2 kg.

Try it together

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