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Pearson Algebra 1 Common Core, 2011 View details

7. Absolute Value Equations and Inequalities

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Exercise 54 Page 211

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

t=-1.8 or t=1.8

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

|t|+2.7=4.5

SubEqn

LHS-2.7=RHS-2.7

|t|+2.7-2.7=4.5-2.7

SubTerms

Subtract terms

|t|=1.8

An absolute value measures an expression's distance from a midpoint on a number line. |t|= 1.8 This equation means that the distance is 1.8, either in the positive direction or the negative direction. |t|= 1.8 ⇒ lt= 1.8 t= -1.8 Both 1.8 and -1.8 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

Exercise 54 Page 211

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