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Big Ideas Math Integrated I, 2016

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Big Ideas Math Integrated I, 2016 View details

4. Solving Absolute Value Equations

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Exercise 34 Page 33

Plot the solutions on a number line.

Example Solution: $∣ x + 7.5 ∣ = 2.5$

Practice makes perfect

To write an absolute value equation, we can begin by thinking about the solutions to the equation as points on a number line. We can use the number line to determine the midpoint and the distance from each point to the midpoint. Our equation will take the following form.

∣ x - Midpoint ∣ = Distance to midpoint

Let's plot the given solutions on a number line and determine the midpoint.

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Subchapter links

Communicate Your Answer p.27

Monitoring Progress p.28-31

Exercises p.32-34