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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 2 Page 210

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

Solutions: n=-7 or n=7
Graph:

Practice makes perfect

Before we can solve this equation, we need to isolate the absolute value expression using the Properties of Equality.

|n|-3=4

LHS+3=RHS+3

|n|-3+3=4+3

Add terms

|n|=7

An absolute value measures an expression's distance from a midpoint on a number line.

|n|= 7 This equation means that the distance is 7, either in the positive direction or the negative direction. |n|= 7 ⇒ ln= 7 n= -7 In this case, our absolute value expression is only the variable n, so our equivalent pair of linear equations does not need any more simplifying. Now, let's graph these solutions on a number line.

Subchapter links

Lesson Check p.210

Practice and Problem-Solving Exercises p.211-213

Standardized Test Prep p.213

Mixed Review p.213