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Big Ideas Math Integrated I, 2016

BI

Big Ideas Math Integrated I, 2016 View details

4. Solving Absolute Value Equations

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Exercise 30 Page 32

An absolute value equation can be broken down into a midpoint and a distance from the midpoint to the solutions.

A

Practice makes perfect

If we have two points on a number line, we can use the midpoint between the points and the distance from each point to the midpoint to write an absolute value equation. |x- midpoint|= distance to midpoint

Notice that the left-hand side of the equation is in the form |x-a|. Keeping that in mind, we can rewrite our equation. |x+4|=2 ⇔ |x-( - 4)|= 2 Now, we can determine the midpoint as - 4 and the distance from the midpoint as 2.

This number line corresponds with option A.

Subchapter links

Communicate Your Answer p.27

Monitoring Progress p.28-31

Exercises p.32-34