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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 51 Page 211

Can the absolute value of a number be negative?

No solution

Practice makes perfect

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

|d+1/2|+3/4=0

LHS-3/4=RHS-3/4

|d+1/2|=-3/4

An absolute value measures an expression's distance from a midpoint on a number line. Since distance cannot be negative, the absolute value of a number cannot be negative. |d+1/2|= -3/4 An absolute value cannot be equal to - 34, so this equation has no solution.

Subchapter links

Lesson Check p.210

Practice and Problem-Solving Exercises p.211-213

Standardized Test Prep p.213

Mixed Review p.213