Thursday, November Make sure your name is on Practice 3-5 and it is completed! 2. Today’s objective: SWBAT solve absolute value equations and inequalities. 3. Fill in planner with today’s assignment: Practice Bell Work (Simplify)

An absolute value is… the distance a number is from zero on a number line.

Example 1: Solving an Absolute Value Equation Subtract 5 from both sides to isolate the variable on one side. The distance of x from zero has to be six. For what values is this true? or Do both values work? Check your solutions. They both work, so they are both solutions of the equation.

Example 2: Solving an Absolute Value Equation Remove absolute value symbol and separate into two equations Rule: To solve an absolute value equation in the form, where A represents a variable expression and b>0, solve A = b and A= -b Subtract 5 from both sides Simplify Divide both sides of the equation by 2 or

Do the solutions work?

To solve an inequality in the form _________, where A is a variable expression and b>0, solve ________________. To solve an inequality in the form ___________, where A is a variable expression and b>0, solve _________or_______. *Similar rules are true for _______and_________. Rule(s)

Example 3: Solving an absolute value inequality Follow the rule for Split into 2 inequalities Add 3 to both sides Simplify Add 3 to both sides Simplify Combine the Inequalities

Graph Your Solution Check Your Solution Does 0 work? Does 3 work?