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Big Ideas Math Integrated I, 2016 View details

4. Solving Absolute Value Equations

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Exercise 26 Page 32

Practice makes perfect

a We can plot the maximum and minimum shoulder heights on the number line as the following.

b An absolute value equation takes on the following form.

|x- midpoint|= distance to midpoint

To write an absolute value equation that models the situation, we can begin by thinking about the given minimum and maximum heights as solutions to the equation. By plotting these points on a number line we can determine the midpoint and the distance from each point to the midpoint.

From the number line, we can see that the midpoint between 10 and 15 is 12.5, and that the distance from both values to the midpoint is 2.5. We can then write the following equation. |x- 12.5|= 2.5