Warm-Up: As a group, create a CIRCLE MAP to DESCRIBE what you already know about ABSOLUTE VALUE

ABSOLUTE VALUE

Objective - To solve an absolute value equation CA 3.0, 5.0

Absolute Value Equations An equation is called an ABSOLUTE VALUE EQUATION if the variable is INSIDE the absolute value symbols!

Solve. │Stuff│ = positive │Stuff│ = 0 │Stuff│ = negative 2 solutions 1 solution No Solution

Solve. No solution

Solve. Check.

 ALWAYS isolate the absolute value first! TWO BIG RULES  ALWAYS isolate the absolute value first!  NEVER distribute into absolute value!

Solve.

Solve.

Solve.

{Ø} Solve. ABSOLUTE VALUE cannot equal a NEGATIVE NUMBER This equation has NO SOLUTION. {Ø}

Try These:

Write an absolute value equation that has 4 and 10 as its solutions. 3 3 0 1 2 3 4 5 6 7 8 9 10 10 - 4 = 6 Midpoint = 7 Distance from Endpoint to Midpoint = 3

Write an absolute value equation that has 5 and 19 as its solutions. Midpoint Distance from Endpoint to Midpoint = 12 - 5 = 7