Suppose that the minimum score on certification test is 200 and the maximum score is 1000. Write an absolute value equation that represents the minimum and maximum scores. Use $x$ to represent the scores.
middle score = (1000+200)/2 = 600
the range is 1000-200 = 800
|x-400| = 600
To represent the minimum and maximum scores using an absolute value equation, we need to consider that the minimum score is 200 and the maximum score is 1000.
The absolute value of a number is its distance from zero on the number line. In this case, we want to find the absolute value of the difference between $x$ and the minimum score (200), as well as the absolute value of the difference between $x$ and the maximum score (1000).
For the minimum score, the absolute value equation is:
$$|x - 200|$$
For the maximum score, the absolute value equation is:
$$|x - 1000|$$
Hence, the absolute value equation that represents the minimum and maximum scores is:
$$|x - 200| = |x - 1000|$$