1.6 Absolute Value Learning Goals write and solve equations and inequalities involving absolute value

absolute value: distance from zero on a number line Ex 1

Ex 2

extraneous solution: a solution to a transformed equation but not the original equation

Ex 4

Ex 5

Absolute Value Inequalities distance within 5 units in both directions distance outside 5 units in both directions

Phone number Key in the 1st three digits of your phone number (not the area code) Multiply by 80 Add 1 Multiply by 250 Add the last four digits of your phone # Add the last four digits of your phone # AGAIN Subtract 250 Divide by 2 SEE YOUR PHONE NUMBER ON YOUR CALCULATOR???

Ex 6

Ex 7

Ex 8

Ex 9 Ex 10

Ex 11 Two friends are hiking in Death Valley National Park. Their elevation ranges from 228 ft below sea level at Badwater to 690 ft above sea level at Zabriskie Point. Write an absolute value inequality to represent the situation. Let x represent their elevation.

Absolute Value Statements symbols definition graph distance from x to 0 is a units distance from x to 0 is less than a units distance from x to 0 is greater than a units