Question

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.

Answer 1

| x - 600 | = 400

Explanation:

Absolute value equation of the form:

| x - a | = b

can be solved by:

x - a = b

x = a + b

and

x - a = -b

x = a - b

We can write the inequality | x - 600 | = 400

Let's solve and see if we get values of 200 and 1000:

x - 600 = 400

x = 1000

and

x - 600 = -400

x = 200

So this equation is right.

| x - 600 | = 400