1. Absolute Value Equations

2. 2 | 3x + 4 | + 8 = 12 2 | 3x + 4 | = 4 | 3x + 4 | = 2 3x + 4 = 2 3x + 4 = - 2
Subtract 8
Then divide by two
And finally separate

3. 3 | x - 2 | - 7 = 2 3 | x - 2 | - 7 = 2 3 | x - 2 | = 9 | x - 2 | = 3 x - 2 = 3 x - 2 = - 3
Add 7
Then divide by three
And finally separate

4. | 3x – 2 | + 5 = 16 | 3x - 2 | = 11 3x - 2 = 11 3x - 2 = - 11
Subtract 5
And finally separate

5. - 2 | x + 4 | = - 20
2 | x + 4 | = - 20
| x + 4 | = 10
x + 4 = x + 4 = - 10
divide by negative two
And finally separate

6. 7 | 3x | = 35 | 3x | = 5 3x = 5 3x = - 5 divide by seven
And finally separate

7. | x | - 9 = 14 | x | - 9= 14 | x | = 23 x = 23 x = - 23 Add 9
And finally separate

8. | 3x + 4 | = 12 3x + 4 = 12 3x + 4 = - 12
JUST separate

9. 6 + ⅔ | x - 4 | = 8 ⅔ | x - 4 | = 2 | x - 4 | = 3 x - 4 = 3 x - 4 = - 3
Subtract 6
Multiply by the RECIPROCAL….3 over 2!!!! (3/2)
And finally separate

10. ….next is absolute value inequalities