Question

A model of an equation is shown on the number line.

Which equation does the model represent, and what is the value of
?
Responses

Answer 1

I don't have the number-line picture. Could you either upload the image or describe it precisely (tick marks, labeled points or segment lengths, which part is the unknown)?

If it helps, here is how to interpret these models and how I'll solve it once you give the details:

- Identify the whole segment and any subsegments shown and note their labeled lengths.
- Translate the picture into an equation: if one subsegment is x and the other is a number and together they make a whole length, write x + (other length) = (whole length). If one point is at coordinate a and another at b and the distance between them is shown as x, then x = |b − a|.
- Solve the resulting equation for x.

Example: if the number line shows a whole segment from 0 to 7 and a part from 0 to x is shaded and the remaining part from x to 7 is labeled 5, then the equation is x + 5 = 7 and x = 2.

Send the picture or describe the labels and I’ll write the exact equation and solve it.