Practical tools for measured work
Tape diagram equation builder
Build an equal-group tape diagram for nx+b=t and show the subtraction and division steps.
Calculate the layout, check the diagram, then print the result for the shop or jobsite.
Equal x blocks represent equal amounts. The extra block is symbolic and is not drawn to numerical scale.
How it works
For nx+b=t, subtract b from both sides and divide the remaining amount by n. Five equal groups plus 1 total 20, so 5x=19 and x=3.8. Change the group count, extra amount and total to build your own diagram.
Current-input example
The result above uses these exact values. This snapshot is included when the page is printed so the output can be checked against the original measurements.
- Number of equal groups
- 5
- Extra amount
- 1
- Total amount
- 20
Primary result: Value of each equal group: 3.8.
Before using the result
- Check the selected mode, units and input values before using the result.
- Read the assumptions and rounding rules; compare the worked example with your intended calculation.
- A numerical result does not supply missing context or change the stated limitations.
Limitations
This nonnegative tape model accepts 1–50 whole groups and a total at least as large as the extra amount. It does not model negative lengths or identify missing worksheet signs.
Frequently asked questions
What should I verify before using this result?
Check the input values, units, dates and assumptions. Compare the method and its stated limits with the source relevant to your task.
Why might the finished result differ?
Results depend on the entered data and the model’s assumptions. Rounding, changing conditions or omitted factors can affect the comparison. Read the limitations before using the result.
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