Algebra 2 Notes 1-3
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The document provides an overview of solving absolute value equations in multiple steps. It explains that absolute value equations are first isolated, then split into separate equations, solved individually, and solutions are checked. Examples of six absolute value equations are worked through to demonstrate the process. The key steps are to isolate the absolute value expression, split it into separate equations, solve each equation, and check the solutions.
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Algebra 2 Notes 1-3
- 1. Day 3 Absolute Value Absolute Value: | 3 | = ______ | 3 | = _______ Now, in reverse... | x | = 3 5 4 3 2 1 0 1 2 3 4 5 1
- 2. Ex 1: 2| x | 4 = 10 1st Isolate Absolute Value Expression 2nd Split into two different equations 3rd Solve each equation separately 4th Check both solutions ** 2
- 3. Ex 2: ½| x + 4 | = x 1st Isolate Absolute Value Expression 2nd Split into two different equations 3rd Solve each equation separately 4th Check both solutions ** 3
- 4. Ex 3: | x + 8 | + 4 = 3x 1st Isolate Absolute Value Expression 2nd Split into two different equations 3rd Solve each equation separately 4th Check both solutions ** 4
- 5. 1. |3x| = 27 9, 9 2. 5 |x + 1| + 6 = 21 4, 2 3. |x | + 3 = 2x 3 4. |6x + 7| 2 = 5x no solution 5. |3 x + 5| 2x = 3x + 4 ½ 6. 2 |x + 3| 4x = 12 3 5