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
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