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Absolute Value Equations. Chapter 1.6. 1. Absolute Value Equations. Absolute value is the distance from zero. When graphed into a graphing calculator, it is shaped in a “v” Using absolute value makes values positive. 2. Quick Examples. Example 1: What is the absolute value of 25 ?
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Absolute Value Equations Chapter 1.6 1
Absolute Value Equations • Absolute value is the distance from zero. • When graphed into a graphing calculator, it is shaped in a “v” • Using absolute value makes values positive. 2
Quick Examples • Example 1: What is the absolute value of 25? • Example 2:|–25| = x, what is the value of x? • Example 3:|x| = 25, what is the value of x? |25|= 25 25 25 -25 3
Steps for Absolute Value Equations • Write two equations, with one answer being positive and the other being negative • Solve each equation • Check each solution and make sure there aren’t any extraneous solutions 4
Example 1 Solve and check for extraneous solutions 5
Example 2 Solve and check for extraneous solutions 6
Your Turn Solve and check for extraneous solutions 7
Example 3 Solve and check for extraneous solutions 8
Example 4 Solve and check for extraneous solutions 9
Example 5 Solve and check for extraneous solutions 10
Example 6 Solve and check for extraneous solutions 11
Assignment First Half of Worksheet Remember: p. 123 DUE TODAY p. 133 DUE MONDAY 12