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1.4 Solving Absolute Value Equations Objective: solve absolute value equation What is absolute value? Name: _____________________ Date: ___________________ The ___________ from ____ on a number line. Since distance is ____________, the absolute value of a number is always ____________. KEY CONCEPT For any real number a, a ___ if _________, and a ___ if _________. For any real numbers, a and b, where b > 0, if a b , then __________ or __________ . The second equation can also be written as ________. If b < 0, then there is _____________. How do you solve an STEPS: absolute value 1. Isolate absolute value expression. equation? 2. Drop the absolute value bars and set up the 2 equations (“drop & opp”). 3. Solve and check please! GUIDED PRACTICE: Solve each equation. Check your solution. 1) 2y 3 7 2) |3x - 2| + 6 = 10 1.4 Solving Absolute Value Equations 3) 3 x 2 5 23 4) 4a 3 5 2 5) 8 m 2m 3 INDEPENDENT Practice Workbook page 4 (14, 18, 22, 26) PRACTICE: GUIDED PRACTICE: Write an equation to solve each problem. 5) A poll of American voters reported that 39% favor Hillary Clinton. Results of polls of this size can be off as much as 3%. Find the minimum and maximum percent of the vote that Clinton is expected to receive. INDEPENDENT PRACTICE: Practice Workbook page 4 (29-30) page 2