Guia Ecuaci N De Primer Grado







Nombre: __________________________________ Curso: _________ Fecha: ___________

Objetivo: plantear y resolver ecuaciones de primer grado con una incógnita.

I. Repasa la operatoria consignos:
La pequeña pirámide muestra como los números están relacionados. Completa la pirámide grande.


-6




 






-8
2


 
 










 
-8
 




-8 + 2 = -6

 
-5
 
12






-8
 
 
 
 




 
 
-13 
-12
 


-46
 
-18
 
 
-18
43


II. Resuelve los siguientes ejercicios en tu cuaderno.


Ecuación
Solución


Ecuación
Solución
1.
2x – 34 = -20
x = 7

2.
2 – 6x = 3x – 1
x = 1/3
3.
4x + 3 = 3x +5
x = 2

4.
9x + 8 = 7x + 6
x = -1
5.
x – 8 = 2x – 11
x = 3

6.
7x + 9 = 3 + 9x
x = 3
7.
6x + 6 = 4 + 8x
x = 1

8.
x + 1 = 2x – 7
x = 8
9.
2x + 3 = 3x
x = 3

10.
9 + 9x = 17 + 5x
x = 2
11.
4x+ 1 = 3x + 3
x = 2

12.
25 – 2x = 3x + 20
x = 1
13.
1 + 8x= -16x + 31
x = 5/4

14.
5x – 3 = 10x – 6
x = 3/5
15.
12x – 48 = -15x – 30
x = 2/3

16.
5x – 11 = 15x – 19
x = 4/5
17.
10 – 5x = x – 2x = 2

18.
2x + 17 = 3x + 7
x = 10
19.
48 – 3x = 5x
x = 6

20.
70 – 3x = 4x
x = 10
21.
10x – 15 = 4x + 27
x = 7

22.
-4x + 30 = -3x – 10
x = 40
23.
3x + 1 = 6x – 8
x = 3

24.
25 – 2x = 3x +35
x = 12
25.
47 – 3x = 5 + 11x
x = 3

26.
75 – 5x = 3x + 3
x = 9
27.
30 – 9x = -7x +21
x = 9/2

28.
5 + 8x = 2x + 20
x = 5/2
29.
3x – 10 = 2x + 1
x = 11

30.
2y – 3 = y + 5
y = 8
31.
x – 3(x-2)= 6x – 2
x = 1

32.
2 + 5(x – 13) = x – 3
x = 15
33.
3x – 7 = 2(x+1)
x = 9

34.
2x – 1 = 3(2x – 15)
x = 11
35.
2(2 + 4x) = 3 + 12x
x = 1/4

36.
2 (x – 2) = -(4 – x)
x = 0
37.
5x = 7(5x – 3) +3
x = 3/5

38.
2(3x – 49) = -x + 14
x = 16
39.
2(x – 5) = 3x – 17
x = 7

40.
20 = 2x – (10 – 4x)
x = 5
41.
60x – 1 = 3(1 + 12x)
x= 1/6

42.
5(x – 1) + 10(x + 2) = 45
x = 2
43.
2x + 3(2x – 1) = x+ 67
x = 10

44.
12x + 3(2x – 4) = 60
x = 4
45.
3 – 2x(5 – 2x) = 4x2 + x – 30
x = 3

46.
3x – (x + 1) = x – 2
x = -1
47.
3[2x – (3x + 1)] = x + 1
x = -1

48.
x – 3(x + 5) = 3x + 10
x = -5
49....