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Pearson Algebra 1 Common Core, 2011

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Pearson Algebra 1 Common Core, 2011 View details

7. Absolute Value Equations and Inequalities

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Exercise 17 Page 211

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

r=3 or r=13

Practice makes perfect

An absolute value measures an expression's distance from a midpoint on a number line. |r-8|= 5This equation means that the distance is 5, either in the positive direction or the negative direction. |r-8|= 5 ⇒ lr-8= 5 r-8= - 5 To find the solutions to the absolute value equation, we need to solve both of these cases for r.

| r-8|=5

lc r-8 ≥ 0:r-8 = 5 & (I) r-8 < 0:r-8 = - 5 & (II)

lcr-8=5 & (I) r-8=- 5 & (II)

(I), (II): LHS+8=RHS+8

lr_1=13 r_2=3

Both 13 and 3 are solutions to the absolute value equation.

Subchapter links

Lesson Check p.210

Practice and Problem-Solving Exercises p.211-213

Standardized Test Prep p.213

Mixed Review p.213