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Day 12 Variables on Both Sides Equations.notebook December 13, 2016
December 13, 2016
Aim: SWBAT solve equations with variables on both sides.
Do Now: Take out your homework . (Pages 25 & 26)
Homework: Page 29 in the Unit 2B Packet
** The Unit 2B Test is Friday, December 16th **
Day 12 Variables on Both Sides Equations.notebook December 13, 2016
1
2
3?
?
16 = 16√
Check #1:
7 + 3 (7 - 4) = 161
2
3
?
62 = 62√
2 7 - 4 (9 - 3 7) = 62
?
14 - 4 (9 - 21) = 62
2x - 4(9 - 3x) = 62
14 - 4 (-12) = 62
14 + 48 = 62
?
?
Check #2:x + 3(x - 4) = 16
7 + 3 3 = 16?
7 + 9 = 16
Day 12 Variables on Both Sides Equations.notebook December 13, 2016
+ 4 = 18e7- 4 - 4
e7 = 14
e = 98
(7) (7)
1 -9 + + 13 = -2 + 20e7
2 -9 + + 13 ≟ -2 + 20987
3 -9 + 14 + 13 ≟ 18
18 = 18 √
6y - 18 + 6 = -36
+ 12 + 12
6y = -246 6
y = -4
6y - 12 = -361 6 (y - 3) + 6 = 9 -4
2 6 (-4 - 3) + 6≟ 9 -4
3
-36 = -36 √
6 (-7) + 6 ≟ -36-42 + 6 ≟ -36
+ 30
x = 17
5x - 30 = 55+ 30
5x = 855 - 8 x = 13
-8x + 64 = -40- 64
-8x = -104- 85
- 64
3) 3
4) 4
Day 12 Variables on Both Sides Equations.notebook December 13, 2016
Day 12 Variables on Both Sides Equations.notebook December 13, 2016
3a - 4 = 11+ 4 + 4 3a = 15
3 3a = 5
4a - 7 = -15+ 7 + 7 4a = -8
4 4 a = -2
+ 12
- 4
x = -15
-4x - 12 = 48+ 12
-4x = 60- 4
8m + 40 + 6m = -16
- 40 - 40 14m = -56
1414m = -4
14m + 40 = -16-7r - 56 + 7 = -8 - 6
+ 49 -7r = 35-7
r = -5
-7r - 49 = -14+ 49
-7
- 4-4
x = 28
+ 4 = -10
(-2) = -14
x-2
x-2
(-2)
n - 6-5
= 3 (-5)-5
n - 6 = -15+ 6
n = -9+ 6
- 14-2 = p
36 = 8 - 14p- 8
28 = -14p- 8
- 14
5) 6)
7) 8)
9) 10)
11) 12)
Day 12 Variables on Both Sides Equations.notebook December 13, 2016
=variable
constant
oppositeor inverse
simplify
Day 12 Variables on Both Sides Equations.notebook December 13, 2016
=variable
constant
oppositeor inverse
simplify
16x = 4x + 36- 4x
12x = 3
12
- 4x12x = 36
1 2 16 3 ≟ 4 3 + 363
48 = 48 √48 ≟ 12 + 36
16x = 4x + 36
2x + 16 = 8x - 26
- 16
x = 7-6
- 8x
-6x = -42
- 8x-6x + 16 = - 26
- 16
-6
1 2 2 7 + 16 ≟ 8 7 - 263
30 = 30 √14 + 16 ≟ 56 - 26
2x + 16 = 8x - 26
Day 12 Variables on Both Sides Equations.notebook December 13, 2016
Day 12 Variables on Both Sides Equations.notebook December 13, 2016
14x - 19 = 5x + 8
+ 19
x = 39
- 5x
9x = 27
- 5x9x - 19 = 8
+ 19
9
6x + 12 = 4x + 22
- 122x = 102 x = 5
2x + 12 = 22
2
- 4x - 4x
- 12
2x - 8 = 4x - 2
+ 8-2x = 6-2 x = -3
-2x - 8 = -2
-2
- 4x - 4x
+ 8
1 2 14 3 - 19 ≟ 5 3 + 83
23 = 23 √42 - 19 ≟ 15 + 8
14x - 19 = 5x + 8
1 2 3
42 = 42 √6 7 ≟ 20 + 22
6 (x + 2) = 4x + 226 (5 + 2) ≟ 4 5 + 22
1 2 3
-14 = -14 √2 -7 ≟ -12 - 2
2 (-3 - 4) ≟ 4 -3 - 22 (x - 4) = 4x - 2
Day 12 Variables on Both Sides Equations.notebook December 13, 2016
Day 12 Variables on Both Sides Equations.notebook December 13, 2016
7x - 13 = 3x + 7
+ 13
x = 54
- 3x
4x = 20
4x - 13 = 7
4
- 3x
+ 13
1 2 7 5 - 13 ≟ 3 5 + 73
22 = 22 √35 - 13 ≟ 15 + 7
7x - 13 = 3x + 7
3x + 27 = 12x
9 3 = x
27 = 9x9
- 3x - 3x
1 2 3
36 = 36 √3 12 ≟ 36
3 (x + 9) = 12x 3 (3 + 9) ≟ 12 3
5x + 4 = 7x + 8
- 4
x = -2-2
- 7x
-2x = 4
-2x + 4 = 8
-2
- 7x
- 4
-3x + 10 = 1x + 2
x = 2-4
- 1x
-4x = -8
-4x + 10 = 2
-4
- 1x
- 10- 10
8x - 4 = -10x + 50
+ 4
x = 3
+ 10x
18x = 54
18x - 4 = 50
18
+ 10x
+ 4
18
-4 + 10x = 8x - 2
x = 12
- 8x
2x = 2
-4 + 2x = -2
2
- 8x
+ 4+ 4
