Odpowiedź :
Poziom A
a) 3 * x + 7 + 2 * x = 22
5x + 7 = 22
5x = 22 - 7
5x = 15 / : 5
x = 3
b) 8 * x - 5 - 4 * x = 15
4x - 5 = 15
4x = 15 + 5
4x = 20 / : 4
x = 5
c) x - 9 + 7 * x = 55
8x - 9 = 55
8x = 55 + 9
8x = 64 / : 8
x = 8
d) 2 * x + 3 + 5 * x = 17
7x + 3 = 17
7x = 17 - 3
7x = 14 / : 7
x = 2
e) 5 * x + 21 - 9 * x = 7
-4x + 21 = 7
-4x = 7 - 21
-4x = -14 / : -4
x = 7/2
f) 6 * x - 23 - x = 7
5x - 23 = 7
5x = 7 + 23
5x = 30 / : 5
x = 6
g) 4 * x - 19 + 2 * x = 23
6x - 19 = 23
6x = 23 + 19
6x = 42 / : 6
x = 7
h) 7 * x + 6 - 5 * x = 24
2x + 6 = 24
2x = 24 - 6
2x = 18 / : 2
x = 9
i) 9 * x + 12 - 3 * x = 18
6x + 12 = 18
6x = 18 - 12
6x = 6 / : 6
x = 1
Poziom B
a) 5 * x = 3 * x - 6
5x - 3x = -6
2x = -6 / : 2
x = -3
b) 8 * x = 14 + x
8x - 14x = 0
-6x = 0 / : -6
x = 0
c) 6x = 24 - 2x
6x + 2x = 24
8x = 24 / : 8
x = 3
d) 7x = 3x - 4
7x - 3x = -4
4x = -4 / : 4
x = -1
e) 4x = 28 - 3x
4x + 3x = 28
7x = 28 / : 7
x = 4
f) 9x = 5x - 8
9x - 5x = -8
4x = -8 / : 4
x = -2
g) 2x = 12 - 4x
2x + 4x = 12
6x = 12 / : 6
x = 2
h) 3x = x + 10
3x -x = 10
2x = 10 / : 2
x = 5
i) 5x = 3x - 12
5x - 3x = -12
2x = -12 / : 2
x = -6
Poziom C
a) 8 - 2x = 4x - 4
-2x - 4x = -4 - 8
-6x = -12 / : -6
x = 2
b) 7 - 3x = -8 - 8x
-3x + 8x = -8 - 7
5x = -15 / : 5
x = -3
c) 11x - 9 = 7x - 5
11x - 7x = -5 + 9
4x = 4 / :4
x = 1
d) 5x + 7 = 6x + 12
5x - 6x = 2 - 7
-x = 5
x = -5
e) -6x - 2x = 4x + 6
-8x = 4x + 6
-8x - 4x = 6
-12x = 6 / : -12
x = - 1/2
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
h) 3x + 8 = 7x + 9
3x - 7x = 9 - 8
-4x = 1 / : -4
x = - 1/4
i) 7 - 5x = 4 - 8x
-5x + 8x = 4 - 7
3x = -3 / : 3
x = -1
Poziom D
a) 3x + 10 - 2x = 4x + 1
x + 10 = 4x + 1
x - 4 = 1 - 10
-3x = -9 / : -3
x = 3
b) 8 - 2x - 5x = 8 + 4x - 3
-2x - 5x = 4x - 3
-7x = 4x - 3
-7x - 4x = -3
-11x = -3 / : -11
x = 3/11
c) 7x - 4 + 3x + 6 = 9 - 2x + 7 + 5x
10 x + 2 = 16 + 3x
10x - 3x = 16 - 2
7x = 14 / : 7
x = 2
d) 1 - 4x - 5 - 5x + 2 = 6x - 6 - 8x - 3
-2 - 9x = -2x - 9
-9x + 2x = -9 + 2
-7x = -7 / : -7
x = 1
e) -3x + 2 + x = 2x + 6 + 2x + 2
-3x + x = 2x + 6 + 2x
- 2x = 4x + 6
-2x - 4x = 6
-6x = 6 / : -6
x = -1
f) 4x + 7 + 5x = 6x + 12 + 2x
9x + 7 = 8x = 12
9x - 8x = 12 - 7
x = 5
g) 1 - 2x - 12 - 7x = 3x + 10 - 5x
-11 - 9x = -2x + 10
-9x + 2x = 10 + 11
-7x = 21 / : -7
x = -3
h) 6x + 5 + 2x + x = 7x + 2 - 4x + 3
9x + 5 = 3x + 5
9x = 3x
9x - 3x = 0
6x = 0 / : 6
x = 0