1º) Resolva as equações:
a) 4x – 6 = 22
b) 9 – x = 2x
c) 8 + 4x = 6x – 4
d) 3x + 1 = x + 9
2º) Simplifique e resolva as equações:
a) 4x – 3 – x + 8 = 11
b) 6.(x – 2) = 12
c) 9 + 2 . (5x – 4) = 21
d) 10x + 4 .(3 – 2x) – 6 = 8
e) 3.(5 + 3x) + 5. (-x-1) = 22
f) 2. (9x – 4) – 7 + (6 – 5x) . 3 = 18
g) 16x + 2. (7x + 8) – 9 = 67
h) 12 + (3x + 6) . (-7) – 5 = 70
Soluções para a tarefa
Resposta:
1°)
A) 4x - 3 - x + 8 = 11
3x = 3 - 8 + 11
3x = 6
x = 6/3
X = 2
B) 9 - X = 2x
-x - 2x = -9
-3x = -9
X = -9/-3
x = 3
C) 8 + 4x = 6x – 4
-6x + 4x = -8 - 4
-2x = -12
X = -12/-2
x = 6
D) 3x + 1 = x + 9
3x - x = -1 + 9
2x = 8
x = 8/2
X = 4
2°)
A) 4x – 3 – x + 8 = 11
3x = 3 - 8 + 11
3x = 6
X = 2
B) 6.(x – 2) = 12
6x - 12 = 12
6x = 12 + 12
6x = 24
x = 4
C) 9 + 2 . (5x – 4) = 21
9 + 10x - 8 = 21
10x = 21 - 1
10x = 20
x = 2
D) 10x + 4 .(3 – 2x) – 6 = 8
10x + 12 - 8x - 6 = 8
2x = -6 + 8
2x = 2
x = 1
E) 3.(5 + 3x) + 5. (-x-1) = 22
15 + 9x - 5x - 5 = 22
4x = -10 + 22
4x = 12
x = 3
F) 2. (9x – 4) – 7 + (6 – 5x) . 3 = 18
18x - 8 - 7 + 18 - 15x = 18
3x = -3 + 18
3x = 15
X = 5
G) 16x + 2. (7x + 8) – 9 = 67
16x + 14x + 16 - 9 = 67
30x = -7 + 67
30x = 60
X = 2
H) 12 + (3x + 6) . (-7) – 5 = 70
12 - 21x - 42 - 5 = 70
-21x = -12 + 42 + 5 + 70
-21x = 105
x = -5