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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 18 Page 211

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

c=2 or c=-10

Practice makes perfect

An absolute value measures an expression's distance from a midpoint on a number line. |c+4|= 6This equation means that the distance is 6, either in the positive direction or the negative direction. |c+4|= 6 ⇒ lc+4= 6 c+4= -6 To find the solutions to the absolute value equation, we need to solve both of these cases for c.

| c+4|=6

lc c+4 ≥ 0:c+4 = 6 & (I) c+4 < 0:c+4 = - 6 & (II)

lcc+4=6 & (I) c+4=-6 & (II)

(I), (II): LHS-4=RHS-4

lc_1=2 c_2=-10

Both 2 and -10 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