Question

Resolver las siguientes ecuaciones de primer grado (cada ecuación correctamente resuelta equivale a 1 punto) A: 6 x + ( - x – 2 ) = ( 7 x – 3 ) – ( 8 – x ) B: x – ( 3 – x ) = 7 – ( x + 2 ) C: x – ( 1 – 3 x ) = 8 x – 1 D: 6 + 9 x – 15 + 21 x = - 2 x + 1 E: ( x + 30 ) + ( x + 25 ) = 7 x F: 4 x – 8 = - 4 ( 2 x – 3 ) + 4 G: 3 x – 5 = - 16 – x H: 1 – 6 x = 4 x – ( 3 – 2 x) I: 5 x – 5 ( 2 x + 1 ) = - 3 (4 x + 5 ) J: - 2 (3 x - 2) = - 2

Answer 1

Respuesta:

A: 6 x + ( - x – 2 ) = ( 7 x – 3 ) – ( 8 – x ) B: x – ( 3 – x ) = 7 – ( x + 2 ) C: x – ( 1 – 3 x ) = 8 x – 1 D: 6 + 9 x – 15 + 21 x = - 2 x + 1 E: ( x + 30 ) + ( x + 25 ) = 7 x F: 4 x – 8 = - 4 ( 2 x – 3 ) + 4 G: 3 x – 5 = - 16 – x H: 1 – 6 x = 4 x – ( 3 – 2 x) I: 5 x – 5 ( 2 x + 1 ) = - 3 (4 x + 5 ) J: - 2 (3 x - 2)

Answer 2

A: 6 x + ( - x – 2 ) = ( 7 x – 3 ) – ( 8 – x )

  6 x - x - 2 = 7 x - 3 - 8 + x

  5 x - 8 x = - 11 + 2

  9 = 3 x

   x = 3

B: x – ( 3 – x ) = 7 – ( x + 2 )

   x-3+x=7-x-2

  2x-3=5-x

  2x+x=5+3

3x=8

x=8/3

C: x – ( 1 – 3 x ) = 8 x – 1

x-1+3x=8x-1

x+3x=8x

4x-8x=0

-4x=0

x=0

D: 6 + 9 x – 15 + 21 x = - 2 x + 1

-12x+2x=1+9

-10x=10

x=-1

E: ( x + 30 ) + ( x + 25 ) = 7 x

x + 30 +  x + 25  = 7 x

2x+55=7x

2x-7x=-55

55=5x

x=11

F: 4 x – 8 = - 4 ( 2 x – 3 ) + 4

4 x - 8 = - 8 x + 12 + 4

4x -8 = -8x + 16

4x + 8x = 8 + 16

12 x = 24

x  =  2

G: 3 x – 5 = - 16 – x

3x + x= - 16 + 5

4 x = - 11

x = -11/4

H: 1 – 6 x = 4 x – ( 3 – 2 x)

1 – 6 x = 4 x – 3 + 2 x

1 – 6 x = 6 x-3

– 6 x – 6 x = -3-1

- 12 x=-4

x=1/3

I: 5 x – 5 ( 2 x + 1 ) = - 3 (4 x + 5 )

5 x -10 x - 5 = -12 x+15

-5x -5 = -12x +1 5

-5x +12x = 15 + 5

7x = 20

x = 20/7

J: - 2 (3 x - 2) = - 2

3x  -2 = 1

3x = 1 + 2

3x = 3

x = 1