The document provides a series of math word problems involving reducing and combining like terms. It contains 60 problems with the steps to solve each problem shown. The high level information is that it involves algebraic reduction exercises for 1st year group "BM" students.

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
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

11. 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

12. 51° + 71mn - - 65mn + - - + =
+ =
- - = - =
71mn – 65mn = 6mn
-
52°
53°
54°
–
R= –

13. 55°
56°
57°

14. 58°
59° –
–
60°