Odpowiedź:
POZIOM A
a) 3x+7+2x = 22
5x = 22-7
5x=15 / 5
x=3
c)x-9+7x=55
8x=55+9
8x=64 / 8
x=8
d) 2x+3+5x=17
7x=17-3
7x=14 /7
x=2
f) 6x-23-x=7
5x=7+23
5x=30 /5
x=6
g) 4x-19+2x=23
6x=23+19
6x=42 / 6
x=7
i) 9x+12-3x=18
6x=18-12
6x=6 / 6
x=1
POZIOM B
b) 8x=14+x
8x-x=14
7x=14 / 7
d) 7x=3x-4
7x-3x= -4
4x = -4 / 4
x= -1
f) 9x=5x-8
9x-5x = -8
4x = -8 /4
x = -2
h) 3x = x+10
3x-x = 10
2x=10 / 2
x=5
POZIOM C
b) 7-3x = -8-8x
-3x+8x = -8-7
5x= -15 /5
x= -3
d) 5x+7 = 6x+12
5x-6x =12-7
x = 5
f) 4x+10 = 16-2x
4x+2x = 16-10
6x=6 /6
g) 6x-7 = 2x+9
6x-2x = 9+7
4x = 16 /4
x=4
POZIOM D
a) 3x+10-2x = 4x+1
3x-2x-4x = 1-10
-3x = -9 /(-3)
c) 7x-4+3x+6 = 9-2x+7+5x
7x+3x+2x-5x = 9+7-6+4
7x = 14 /7
d) 1-4x-5-5x+2=6x-6-8x-3
-4x-5x-6x+8x = -6-3-2+5-1
-7x = -7/ (-7)
e)-3x+2+x=2x+6+2x+2
-3x+x-2x-2x = 6+2-2
-6x=6/ (-6)
x=-1
g)1-2x-12-7x=3x+10-5x
-2x-7x-3x+5x = 10+12-1
-7x = 21/ (-7)
x = -3
MISTRZ
a) 8+5x+2= -3x+7+2x
5x+3x-2x = 7-2-8
6x= -3 /6
x= - 0,5
b) 3x-4+2x=7x-5+x
3x+2x-7x-x = -5+4
-3x = -1 / (-3)
x = 1/3
c) x-2x+3x-4x+5x-6x+7x-8x +9x-10x+11x = 6
6x = 6
d)x+3x+5x+7x+9x+11x+13x+15x+17x+19x-25 = 50
100x = 50+25
100x=75 /100
x= 3/4
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Odpowiedź:
POZIOM A
a) 3x+7+2x = 22
5x = 22-7
5x=15 / 5
x=3
c)x-9+7x=55
8x=55+9
8x=64 / 8
x=8
d) 2x+3+5x=17
7x=17-3
7x=14 /7
x=2
f) 6x-23-x=7
5x=7+23
5x=30 /5
x=6
g) 4x-19+2x=23
6x=23+19
6x=42 / 6
x=7
i) 9x+12-3x=18
6x=18-12
6x=6 / 6
x=1
POZIOM B
b) 8x=14+x
8x-x=14
7x=14 / 7
x=2
d) 7x=3x-4
7x-3x= -4
4x = -4 / 4
x= -1
f) 9x=5x-8
9x-5x = -8
4x = -8 /4
x = -2
h) 3x = x+10
3x-x = 10
2x=10 / 2
x=5
POZIOM C
b) 7-3x = -8-8x
-3x+8x = -8-7
5x= -15 /5
x= -3
d) 5x+7 = 6x+12
5x-6x =12-7
x = 5
f) 4x+10 = 16-2x
4x+2x = 16-10
6x=6 /6
x=1
g) 6x-7 = 2x+9
6x-2x = 9+7
4x = 16 /4
x=4
POZIOM D
a) 3x+10-2x = 4x+1
3x-2x-4x = 1-10
-3x = -9 /(-3)
x=3
c) 7x-4+3x+6 = 9-2x+7+5x
7x+3x+2x-5x = 9+7-6+4
7x = 14 /7
x=2
d) 1-4x-5-5x+2=6x-6-8x-3
-4x-5x-6x+8x = -6-3-2+5-1
-7x = -7/ (-7)
x=1
e)-3x+2+x=2x+6+2x+2
-3x+x-2x-2x = 6+2-2
-6x=6/ (-6)
x=-1
g)1-2x-12-7x=3x+10-5x
-2x-7x-3x+5x = 10+12-1
-7x = 21/ (-7)
x = -3
MISTRZ
a) 8+5x+2= -3x+7+2x
5x+3x-2x = 7-2-8
6x= -3 /6
x= - 0,5
b) 3x-4+2x=7x-5+x
3x+2x-7x-x = -5+4
-3x = -1 / (-3)
x = 1/3
c) x-2x+3x-4x+5x-6x+7x-8x +9x-10x+11x = 6
6x = 6
x=1
d)x+3x+5x+7x+9x+11x+13x+15x+17x+19x-25 = 50
100x = 50+25
100x=75 /100
x= 3/4
Szczegółowe wyjaśnienie: