Sci. Not. to Std. Not.
Std. Not. to Sci. Not.
Operations of Sci. Not
How many solutions?
Equivalent Equations
100
2 x 103
2,000
100
30,000
3 x 104
100
(2 x 104) X (5 x 105)
10 x 109
100
3x + 12 = 6 + 3x + 6
All Real Numbers 
100
3x = 12
x = 4
200
4 x 10-2
.04
200
45,000,000
4.5 x 107
200
8 x 106
2 x 104
4 x 102
200
4x + 17 = 9 + 4x
No Solution
200
50x + 50 = 100
50x + 50 = 100
-50 -50
50x = 50
x =1
300
3.7 x 103
3,700
300
.00035
3.5 x 10-4
300
(4.6 x 106) X (6.2 x 106)
28.52 x 1012
300
6x + 15 = 9x -15
6x + 15 = 9x -15
-15 -15
6x = 9x -30
-9x -9x
-3x = -30
-3 -3
x= 10
300
14x + 5 = 28x - 7
14x + 5 = 28x -7
+7 +7
14x + 12 = 28x
/14 /14
12 = 2x
/2 /2
x = 6
400
6 x 10-7
.0000006
400
.00007432
7.4 x 105
400
(3.0 x 10-4) x (4.0 x 10-5)
12 x 10-9
400
4 + 5x + 2y = 5x + 2y + 4
4 = 4; 5x = 5x; 2y=2y
All Real Numbers
400
8x - 15 = 64x -50
8x - 10 = 64x -50
/8x /8x
-10 = 8x -50
+50 +50
40 = 8x
/8 /8
x =5
500
4 x 10-4
.0004
500
.0094841
9.5 x 103
500
6 x 104
2 x 102
3 x 102
500
28x - 45 = -45 +75x
28x - 45 = -45 +75x
+45 +45
28x = 75x
No Solution
500
13x + 5 = 169x -8
13x + 5 = 169x -8
/13x /13x
5 = 13x -8
+8 +8
13 = 13x
/13 /13
x = 1