Ejercicios

Ecuaciones de primer grado con una incógnita

1) x + 5 = 35                            2) x + x + 9 = 25                           3) 2x + x + x + 4x - 9 = 5x -3

4) 5x + 15 = 14 + 6 + 7 + x                   5) 3x + x = 4x + x - 2          6) 2x + x +4x = 10x - 3

Resolver

1) 5x + 2 = 22                          Rta = 4                           2) -7x + 4 = -10                           Rta = 2

3) - 3x + 2 = 17                        Rta = - 5                          4) - 5 - x = 7 + ( - 3 ) =               Rta = - 9

5) x + ( -1 ) = - 3                      Rta = - 2                          6) x - ( - 9) = 3                             Rta = - 6  

7) 5 - ( - x ) =   9                       Rta = 4                           8) - 8x = 56                                  Rta = - 7

9) x : 9 = - 7                             Rta = - 63                         10) - 6x : 2 = 3                           Rta = - 1

11) - 27 : x = 9                          Rta = - 3                           12) ( x + 7) : ( - 8 ) =  1            Rta = -15

13) ( 78 : x ) + 13 = 19              Rta = 13                           14) ( - 4x : 6 ) - 7 = - 3              Rta = - 6

nnnnnnnnnnnnn

Ecuaciones

 

1) 0 = 5x                             2) 9x = 1                      3) 8x : 5 = 2.9: 6                  4) 16 : x = 2

5) 6 = 48x                           6) x: 3 - 1 = 5                 7) 20 : x + 1 = 6              8) (15 - 5x ).6 = 30

9) ( 3x : 2 + 5 ). 2 = 40               10) 18 : ( x + 1 ) = 2                     11) 12 : ( 3 - x ) - 3 = 1

12) ( 2x : 4 ) . 3 = 60 : 5              13) ( 3x + 5 ) . 4 = 32                   14) ( 3x - 4 ) : 5 = 4

15) - 20 - 2x = 8                          16) ( 8x : 2 + 4 ) : 2 = 10               17) 24 : ( x + 2 ) + 1 = 2x + 3

18) ( 6 - x ) : ( - 4 ) = 1                 19) 4. ( 2x + 3 ) + 1 = 5                20) 7 - 2x = - 13. ( - 3 ) + 2

21) - 2. ( 3x + 4 ) - 5 = - 19           22) - 10 = 4x : ( - 2 )                    23) 2x + 8 = 2 - x

24) 2 - ( 3 - 2x ) = x - ( - 2 )           25) 15 : x - 1 = 2                          26) ( 4x - 3 ) : 11 + 2 = 5

27)  ( x : 2 - 3 ) . 6 = 12                  28) ( x + 3 ) . 2 + ( 9 - x ) = 5x + 6

nnnnnnnnnnnnn

Hallar el valor de x

1) 2x - 5 = 4x - 2                       Rta: - 2/3                        2) x + x +1 + x + 4 = 9x - 1         Rta: 1

3) 3 ( x - 3 ) + 9 = 12                Rta: 4                              4) ( 5x - 3 ) 2 = x - 3                   Rta: 1/3

5) 8x - 3 = 4x - 2                      Rta: 1/4                            6) - 4x - 5 = - 3x + 3                   Rta: -8

7) 2x + 1 = 3x +5                     Rta: - 4                             8) 3x + 1 = ( 2/3 x - 5/6 ) 6          Rta: 6

9) 2 ( x + 1 ) - ( x + 2 ). 3 = 0       Rta: - 4                         10) 0,75x - 20 = 2,25x - 5           Rta: - 10

nnnnnnnnnnnnn

Ecuaciones con potenciación

a) x2 = 16                                                                                                  Rta: + 4 ; - 4

b) x2 = - [ 4( -3) - 3 + ( - 1 )3  ]                                                                   Rta: + 4

c) 2 x2 = 50                                                                                                 Rta: 5

d) x2 = ( - 2 )3 ( - 1 )5 - 22                                                                            Rta: 4

e) 3 x2 = 52 + 2                                                                                           Rta: 3

f) √3x + 4 = 7                                                                                             Rta: 3

g) 3.( √x + 1) + 5 = 8                                                                                    Rta: 0

Radicación

nnnnnnnnnnnnn

Resolver

1) x  + x  + x  = 26                                 Rta: 24
    2      3     4      

2) 5x = 7x  + 15                                     Rta: 10
             2     

3)   2 ( 5 - x )   - 2x = 4x                        Rta: 1/2
            3            

4)    5x + 1    -      ( x + 1 )2 = 1 -   x2 +   1                             Rta: 2
           3                       2                   2        6      

nnnnnnnnnnnnn

Ecuaciones fraccionarias

1) 5   +   2  -   1  +   4  =   0                                                      Rta: -20/53
    x        x2     2x       5x         

2)  1  +  2  -  1   =   7                                                                Rta:5
     x     3x    2x      30 

3) x - 1  =   1 + x                                                                       Rta: 0
    x + 1       x - 1   

4)    x + 2  =  1                                                                         Rta: 9
      
 x - 3       6      

5)   1 - x   +  2x   =         2 + x                                                 Rta: - 1
 
        
 x         x - 1               x    

6)   4x    =   2x    -  2                                                               Rta:1
    x2  - 4     x + 2     

Ecuaciones

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