Rozwiąż równania i sprawdź rozwiązania

Poziom A
a) 4 * x - 3 + 5 * x = 15
b) 5 * x + 7 - 3 * x = 13
c) 7 * x - 2 - 6 * x = 5
d) 6 * x - 4 + 4 * x = 56
Poziom B
a) 6 * x = 2 * x - 8
b) 8 * x = 9 + 5 * x
c) 7 * x = 2 * x - 20
d) 2 * x = 12 - 2 * x
Poziom C
a) 8 - 3 * x = 6 * x - 10
b) 7 * x - 4 = 9 + 8 * x
c) -5 + 7 * x = 2 * x - 20
d) 8 - 2 * x = -4 + 2 * x ​



Odpowiedź :

Odpowiedź:

Poziom A

a) 4 * x - 3 + 5 * x = 15

4x +5x = 15 + 3

9x = 18  | :9

x = 2

b) 5 * x + 7 - 3 * x = 13

5x - 3x = 13 -7

2x = 6 | :2

x = 3

c) 7 * x - 2 - 6 * x = 5

7x - 6x =  5 + 2

x = 7

d) 6 * x - 4 + 4 * x = 56

6x + 4x = 56 + 4

10x = 60 | :10

x = 6

Poziom B

a) 6 * x = 2 * x - 8

6x - 2x = - 8

4x = -8  | :4

x = - 2

b) 8 * x = 9 + 5 * x

8x - 5x = 9

3x = 9  | :3

x = 3

c) 7 * x = 2 * x - 20

7x - 2x = -20

5x = -20  | :5

x = - 4

d) 2 * x = 12 - 2 * x

2x + 2x = 12

4x = 12  | : 4

x = 3

Poziom C

a) 8 - 3 * x = 6 * x - 10

-3x - 6x = -10 - 8

-9x = - 18  | : (-9)

x = 2

b) 7 * x - 4 = 9 + 8 * x

7x - 8x = 9 + 4

-x = 13  | * (-1)

x = - 13

c) -5 + 7 * x = 2 * x - 20

7x -2x = - 20 + 5

5x = - 15  | :5

x = - 3

d) 8 - 2 * x = -4 + 2 * x ​

-2x - 2x = -4 - 8

- 4x = -12  | : (-4)

x = 3