1.4 Notes: Solve each equation

|x-4|= 6 x-4= 6 x-4= -6 +4 +4 +4 +4 x= 10 x= -2

1. |x-4|= 6

|2x+12|= 4x 2x+12= 4x 2x+12= -4x -2x -2x -2x -2x 12= 2x 12= -6x 12/2= 2x/2 12/-6= -6x/6 6= x -2= x

10. |2x+12|= 4x

r= 5 r= -5

11. |r|= 5

No solution

12. |q|= -7

|b-2|= 5 b-2= 5 b-2= -5 +2 +2 +2 +2 b= 7 b= -3

13.|b-2|= 5

|5p|= 35 -5p= 35 -5p= -35 -5p/-5= 35/-5 -5p/-5= -35/-5 P= -7 p= 7

14. |-5p|= 35

|a/3|= 4 a/3= 4 a/3= -4 a/3×3= 4×3 a/3×3= -4×3 a= 12 a= -12

15. |a/3|= 4

No solution

2. |3x+1|= -5

x= 10 x= -10

3. |x|= 10

|x-1|= 4 x-1= 4 x-1= -4 +1 +1 +1 +1 x= 5 x= -3

4. |x-1|= 4

No solution

5. |3+x|= -3

|3x+9|-10= -4 +10 +10 |3x+9|= 6 3x+9= 6. 3x+9= -6 -9 -9 -9 -9 3x= -3 3x= -15 3x/3= -3/3 3x/3= -15/3 x= -1 x= -5

6. |3x+9|-10= -4

|x-2|+5= 9 -5 -5 |x-2|= 4 x-2= 4 x-2= -4 +2 +2 +2 +2 x= 6 x= -2

7. |x-2|+5= 9

4|2x+7|= 16 4|2x+7|/4= 16/4 |2x+7|= 4 2x+7= 4 2x+7= -4 -7 -7 -7 -7 2x= -3. 2x= -11 2x/2= -3/2 2x/2= -11/2 x= -3/2 x= -11/2

8. 4|2x+7|= 16

-2|5x-1|-3= -11 +3 +3 -2|5x-1|= -8 -2|5x-1|/-2= -8/-2 |5x-1|= 4 5x-1= 4 5x-1= -4 +1 +1 +1 +1 5x= 5. 5x=-3 5x/5= 5/5 5x/5= -3/5 x= 1 x= -3/5

9. -2|5x-1|-3= -11