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Pearson Algebra 1 Common Core, 2011 View details

7. Absolute Value Equations and Inequalities

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Exercise 9 Page 211

How many cases do you have after you remove the absolute value?

Solutions: b=- 12 or b= 12
Graph:

Practice makes perfect

An absolute value measures an expression's distance from a midpoint on a number line. |b|= 1/2 This equation means that the distance is 12, either in the positive direction or the negative direction.

|b|= 12 ⇒ b& = 1/2 b& = - 1/2 In this case, our absolute value expression is only the variable b, so our equivalent pair of linear equations do not need any more simplifying. Now, let's graph these solutions on a number line.