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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 29 Page 32

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

C

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, let's take a look at our equation.

∣ x - 2 ∣ = 4

Now, we can determine the midpoint as

2

and the distance from the midpoint as

4 .

This number line corresponds with option C.

Subchapter links

Communicate Your Answer p.27

Monitoring Progress p.28-31

Exercises p.32-34