Students calculate the total weight on one side of the scale and write the corresponding value on the opposite weight to balance it.

To solve the problem of determining the total weights on a weighted balance scale, we need to analyze each image and calculate the total weight on one side of the scale. The goal is to ensure that both sides of the scale are balanced. Let's go through each image step by step.

Key Observations:

1. Each small black circle represents a unit of weight.
2. The scale is balanced when the total weight on both sides is equal.
3. We need to count the number of black circles on one side and match it with the other side.

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Image Analysis:

#### Top Left Image:
- Left side: 1 white circle (representing an unknown weight).
- Right side: 5 black circles.
- Since the scale is balanced, the white circle must weigh the same as the 5 black circles.
- Total weight on left side = 5 units.

#### Top Middle Image:
- Left side: 4 black circles.
- Right side: 1 white circle.
- From the previous analysis, we know the white circle weighs 5 units.
- Total weight on right side = 5 units.

#### Top Right Image:
- Left side: 3 black circles.
- Right side: 1 white circle.
- From the previous analysis, we know the white circle weighs 5 units.
- Total weight on right side = 5 units.

#### Middle Left Image:
- Left side: 1 white circle.
- Right side: 2 black circles.
- From the previous analysis, we know the white circle weighs 5 units.
- Total weight on left side = 5 units.

#### Middle Middle Image:
- Left side: 1 white circle.
- Right side: 3 black circles + 1 white circle.
- From the previous analysis, we know the white circle weighs 5 units.
- Total weight on right side = 3 black circles + 1 white circle = 3 + 5 = 8 units.
- Total weight on left side = 8 units.

#### Middle Right Image:
- Left side: 4 black circles.
- Right side: 1 white circle.
- From the previous analysis, we know the white circle weighs 5 units.
- Total weight on right side = 5 units.

#### Bottom Left Image:
- Left side: 3 black circles + 1 white circle.
- Right side: 1 white circle.
- From the previous analysis, we know the white circle weighs 5 units.
- Total weight on left side = 3 black circles + 1 white circle = 3 + 5 = 8 units.
- Total weight on right side = 8 units.

#### Bottom Right Image:
- Left side: 1 white circle.
- Right side: 4 black circles + 1 white circle.
- From the previous analysis, we know the white circle weighs 5 units.
- Total weight on right side = 4 black circles + 1 white circle = 4 + 5 = 9 units.
- Total weight on left side = 9 units.

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Final Answer:

The total weights for each image are as follows:
1. Top Left: 5 units
2. Top Middle: 5 units
3. Top Right: 5 units
4. Middle Left: 5 units
5. Middle Middle: 8 units
6. Middle Right: 5 units
7. Bottom Left: 8 units
8. Bottom Right: 9 units

$$
\boxed{5, 5, 5, 5, 8, 5, 8, 9}
$$