“BENEMERITA UNIVERSIDAD AUTONOMA DE PUEBLA”

* PREPARATORIA REGIONAL

“ENRRIQUE CABRERA BARROSO” EXTENSION TEZIUTLAN.

INTEGRANTES DEL EQUIPO:

* ANGEL VICTORIA RODRIGUEZ FLORES.

*KEVIN PERDOMO TOLEDANO.

*XIMENA ELIZABETH TADEO GARCIA.

*VICTOR HUGO PEREZ FLORES.

*ITZEL AMEYALI TOBAR LINO.

*KARLA SANCHEZ MURRIETA.

*MAYRA ROMERO HERNANDEZ.

MATERIA:

MATEMATICAS.

MAESTRO:

GUILLERMO ALVAREZ VAZQUEZ.

TEMA:

PROBLEMAS DE REDUCCION.

GRADO:

1°

GRUPO:

“BM”

EJERCICIOS DE REDUCCION.

Reducir

1° 9a – 3a + 5a

9a + 5a = 14a

14a – 3a = 11a

2° -8x + 9x – x

-8x – x = - 9x

-9x + 9x = 0

3° 12mn – 23mn – 5mn

-23mn – 5mn = -28mn

-28mn + 12mn = - 16mn

4° -x + 19x – 18x

- x – 18x = - 19x

- 19x + 19x = 0

5° 19m – 10m + 6m

19m + 6m = 25m

25m – 10m = 15m +

6° -11ab – 15ab + 26ab

- 11ab – 15ab = - 26ab

-26 + 26 = 0

7.° -5ax + 9ax – 35ax

- 5ax – 35ax = - 40ax

-40ax + 9ax = - 31ax

8° - 24ax+2 – 15ax+2 + 39ax+2

- 24ax+2 – 15ax+2 = - 39ax+2

- 39ax+2 + 39ax+2 = 0

9° 2/3y + 1/3y – y

2/3y + 1/3y = 3/3y = y

y – y = 0

10° -3/5m + 1/4m – 1/2m

-3/5m – 1/2m = - 11/10 m

- 11/10m + 1/4m = - 17/20m

11°

a2b -

a2b - a2b :

-a2b + (-

a2b) = -1

a2b

a2b - -1

a2b = -

a2b

12° –a + 8a + 9a - 15a :

(-a) + (-15a) = -16a

8a + 9a = 17a

17a - 16a = a

13° 7ab - 11ab + 20ab - 31ab :

7ab + 20ab = 27ab

(-11ab) + (-31ab) = -42ab

27ab - 42ab = - 15ab

14° 25x2 - 50x2 + 11x2 + 14x2 :

25x2 + 11x2 + 14x2 = 50x2

50x2 - 50x2 = 0

15° –xy - 8xy - 19xy + 40xy :

(-xy) + (-8xy) + (-19xy) = -28xy

-28xy + 40xy = 12xy

16° 7ab + 21ab - ab - 80ab :

7ab + 21ab = 28ab

(-ab) + (-80ab) = -81ab

28ab - 81ab = 53ab

17° -25xy + 1xy2 + 60xy2 - 82xy2 :

(-25xy2) + (-82xy2) = -107xy2

11xy2 + 60xy2 = 71xy2

-107xy2 + 71xy2 = 36xy2

18° -72ax + 87ax - 101ax + 243ax :

(-71ax) + (-101ax) = -173ax

87ax + 243ax = 330ax

-173ax + 330ax = 157ax

19° -82bx - 71bx - 53bx + 206bx :

(-82bx) + (-71bx) + (-53bx) = -206bx

-206bx + 206bx = 0

20° 105a3 - 464a3 + 58a3 + 301a3 :

105a3 + 58a3 + 301a3 = 464a3

464a3 - 464a3 = 0

21° 1/2 x +- 1/3 x + 1/4x – 1/5x=

2,3,4,5, 2 1/2- 1/3+ 1/4- 1/5= 30-20+15-12 = 13/60x

1 3 2 5 2 60

1 3 1 5 3

1 1 1 5 5

1 1 1 1

22° 1/3y – 1/3y + 1/6y -1/12y=

1/6- 1/12 = 2-1 = 1/2y

12

23° 3/5 a2b - 1/6a2b +1/3a2b – a2b=

5,6,3 2

5 3 3 3 3/5 – 1/6 + 1/3 – 1/1= 18-5+10-30 = -7/30 a2b

5 1 1 3 50

1 1 1

24° 5/6ab2 – 1/6ab2 +ab2 – 3/6ab2

5/6- 1/6 + 1+ 3/6 = 2 4/6ab2

25° -a + 8a- 11a+ 15a -75a=

8a+15a= 23a- a-11a-75ª = 64ª

26° -7c + 21c + 14c – 30c + 82c=

21+14+82=117

117-7-30 = 80c

21 117 110

+14 -7 -30

82 110 80

117

27° — -mn+14mn-31mn-mn+20mn=

14+20=34

34-1-31-1 = 1mn

28° -a2y – 7a2y – 93a2y + 51a2y + 48a2y=

1+51+48=10

100-7-93 = 0

29° -a +a-a+a-3a+6ª=

a+a+6ª= 8ª

8a –a –a- 3ª = 3ª

R= - 5/6x

30° 1/2x + 2/3x - 7/6x + 1/2x – x=

2,3,6 2 1/2 + 2/3 – 7/6 + 1/2 - 1/1= 3+4-7+3-6 = -3/6 = -1/2x

1 3 3 3 6

1 1 1

31° -2x+3/4x+1/4+x-5/6x=

-2x-5/6x =-12-5/6= -17/6= -2 5/6

+3/4x+1/4x+X+ 3+1+4/4=8/4= 2x

-2 5/6+ 2= -5/6

32° -7ax- 30ax – 41ax – 9ax +73ax

7ax + 73ax= 80ax

-30 ax – 41ax – 9 ax = 80ªx

80 ax – 80 ax = 0

33° -ax+1 + 7ax+1 – 11ax+1 – 20a x+1 + 26a x+1

-ax+1 – 11ax+1 – 20ax+1 – 32ax+1

7ax+1 + 26ax+1 = 33ax+1

33ax+1 – 31ax+1 = ax+1

R= ax+1

R= 0

34° -a + 6a – 20a + 150a – 80 a + 31a

A + 6 + 150a + 31a= 188a

-20a – 80a = -100a

188a – 100a= 88a

35° -9b – 11b – 17b – 81b – b + 110b

-9b – 11b – 17 b – 81 b – b = -119 b

110b – 119 b = -9b

36° -a2b + 15a2b + a2b - 85a2b – 131a2b + 39 a2b

-a2b – 85a2b – 131a2b = -217 a2b

15 a2b + a2b + 39 a2b = 55a2b

45 a2b – 117 a2b = - 162 a2b

37° -84 m2x – 501 m2x – 604m2x – 715 m2x

84 m2x + 231 m2x + 165 m2x = 480 m2x

-501 m2x – 604 m2x – 715 m2x = -1340 m2x

R= 88a

R= -9b

R= - 162 a2b

R= -1340 m2x

38° 5/6 a3b2 + 2/3 a3b2 – ¼ a3b2 – 5/8 a3b2 + 4 a3b2

5/6 a3b2 + 2/3 a3b2 + 4= 5+4+ 24/6 = -33/6

-1/4 a3b2 - 5/8 a3b2= -2 -5 -2/ 8 = -7/8

33/6n- 7/8 = 132 – 21/24 = 111/24

39° 40a – 81a + 130a + 41a – 83a – 91a + 16a

40 + 130 + 41 + 16 = 227

-81 – 83 – 91 = - 255

227 – 255 = -28

40° -21ab + 52ab – 60ab + 84ab – 31ab – ab – 23ab

-21ab – 60ab – 31ab – ab – 23ab = - 136ab

52ab + 84ab = 136ab

136 – 136 = 0

R=111/24 a3b2

O R= 37/8

R= -28a

RRR= 0

41° 7a - 9b + 6a - 4b = 13a-13b

6a+7a= 13a 9b+4b=13b

42° a + b - c - b - c + 2c -a = 0

a-a= 0

b-b= 0

-c-c+2c= 0

43° 5x - 11y – 9 + 20x – 1 - y= 25x-12y-10

5x+20x=25x

-11y-y= -12y

-9-1 = -10

44° -6m + 8n + 5 - m - n - 6m - 11= -13m+17n-6

-6m-6-6m= -13m

8n-n= 7n

5-11= -6

45° –a + b + 2b – 2c + 3a + 2c – 3b= 2a

-a+3a= 2a

b+2b-3b= 0

-2b+2b= 0

46° -81x+ 19y – 30z + 6y + 80x + x – 25y= -30z

-81x+80x+x= 0

19y+6y-25y= 0

-30z= -30z

47° 15a 2 – 6ab – 8a 2 + 20 – 5ab – 31 + a2 – ab= 8a2-12ab-11

15a2 – 8a2 +a2= 8a2

-6ab-5ab-ab= -12ab

20-31= -11

48° -3a + 4b – 6a + 18b – 114b + 31a – a – b= 21a-30b

-3a-6a+31a-a= 21a

4b+81b-114b-b= -30b

49| -71a3b – 84a4b2 + 50a3b + 84a3b2 - 45a3b + 18a3b= -48a3b

-71a3b+50a3b-45a3b+18a3b= -48a3b

– 84a4b2+ 84a4b2 = 0

50° –a + b – c + 8 + 2a + 2b – 19 – 2c – 3ª – 3 – 3b + 3c= -2a-14

-a+2a-3a= -2a

b+2b-3b= 0

-c-2c+3c= 0

8-19-3= -14

51° + 71mn - - 65mn + - - + =

+ =

- - = - =

71mn – 65mn = 6mn

-

52°

53°

54°

–

R = –

55°

56°

57°

58°

59°

–

–

60°