1. “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”

2. 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

3. 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

4. 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

5. 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
1325 2 60
1315 3
1115 5
1111
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
533 3 3/5 – 1/6 + 1/3 – 1/1= 18-5+10-30 = -7/30 a2b
511 3 50
111

6. 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

7. 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
133 3 6
111
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
R= - 5/6x
32° -7ax- 30ax – 41ax – 9ax +73ax
7ax + 73ax= 80ax
-30 ax – 41ax – 9 ax = 80ªx
80 ax – 80 ax = 0
R= 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

8. 34° -a + 6a – 20a + 150a – 80 a + 31a
A + 6 + 150a + 31a= 188a
-20a – 80a = -100a
188a – 100a= 88a
R= 88a
35° -9b – 11b – 17b – 81b – b + 110b
-9b – 11b – 17 b – 81 b – b = -119 b
110b – 119 b = -9b
R= -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
R= - 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= -1340 m2x

9. 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
R=111/24 a3b2
O R= 37/8
39° 40a – 81a + 130a + 41a – 83a – 91a + 16a
40 + 130 + 41 + 16 = 227
-81 – 83 – 91 = - 255
227 – 255 = -28
R= -28a
40° -21ab + 52ab – 60ab + 84ab – 31ab – ab – 23ab
-21ab – 60ab – 31ab – ab – 23ab = - 136ab
52ab + 84ab = 136ab
136 – 136 = 0
RRR= 0

10. 41° 7a - 9b + 6a - 4b = 13a-13b
42° a + b - c - b - c + 2c -a = 0
43° 5x - 11y – 9 + 20x – 1 - y= 25x-12y-10
44° -6m + 8n + 5 - m - n - 6m - 11= -13m+17n-6
45° –a + b + 2b – 2c + 3a + 2c – 3b= 2a
46° -81x+ 19y – 30z + 6y + 80x + x – 25y= -30z
47° 15a 2 – 6ab – 8a 2 + 20 – 5ab – 31 + a2 – ab= 8a2-12ab-11
48° -3a + 4b – 6a + 18b – 114b + 31a – a – b= 21a-30b
49° -71a3b – 84a4b2 + 50a3b + 84a3b2 - 45a3b + 18a3b= -48a3b
50° –a + b – c + 8 + 2a + 2b – 19 – 2c – 3ª – 3 – 3b + 3c= -2a-14
51° + 71mn - - 65mn + - - + =
+ =
- - = - =
71mn – 65mn = 6mn
-

11. 52°
53°
54°
–
R= –

12. 55°
56°
57°

13. 58°
59° –
–
60°