Examen de ingreso de posgrado 2021 947 respuestas
[-18]+29+[-52]+60= 19
[-3]+[ -2]+[-1]+1+2= -3
[-301]+125+301+[-75]= 50
[-1] +[-1/2]+3/4+[-1/4]= -1
[-7/2]+5/6+[-0.5]+4/5+19/ 6= 1,25
[-26,54]+[-6,14]+18,54+6,14= -8
1,125+[-17/5]+[-1/8]+[ -0.6]= -3
[-|98|+76+(-87)]*23[56+(-75)-(7)]-(8+4+3) p>
5+21*8/2-6-59
68/21-8-11*8+61
-2/9-7/9- 56
4.6-(-3/4+1.6-4-3/4)
1/2+3+5/6-7/12
[2/3-4-1/4*(-0.4)]/1/3+2
22+(-4)+(-2)+4*3
-2*8-8*1/2+8/1/8
(2/3+1/2)/(-1/12)*(-12)
(-28)/(-6+4)+(-1)
2/(-2)+0/7-(-8)*(-2)
(1/4-5/6+1/3+2/3)/1/2
18-6/(-3)*(-2)
(5+3/8*8/30/(-2)-3
(-84)/2*(-3)/(-6)
1/ 2*(-4/15)/2/3
-3x+2y-5x-7y
Operaciones mixtas de suma y resta de números racionales
1. Pregunta de cálculo
(1)3.28-4.76+1 - ;
(2)2.75-2 -3 +1 ;
(3)42 ÷(- 1 )-1 ÷(-0.125);
(4)(-48) ÷82-(-25) ÷(-6)2;
(5 )- + ( )×(-2.4).
2 Problema de cálculo: (10′×5 = 50′)
(1)-23÷1 ×(-1). )2÷ (1 )2;
(2)-14-(2-0.5)× ×[( )2-( )3];
(3)-1 ×[1 -3×(- )2]-( )2×(-2)3÷(- )3
(4)(0,12+0,32) ÷ [-22+(-3) 2-3 × ];
(5)-6.24×32+31.2×(-2)3+(-0.51) ×624.
[-|98|+76 +(- 87)]*23[56+(-75)-(7)]-(8+4+3)
5+21*8/2-6-59
68/21-8-11*8+61
-2/9-7/9-56
4.6-(-3/4+1.6-4- 3/4 )
1/2+3+5/6-7/12
[2/3-4-1/4*(-0.4)]/1/ 3+2
22+(-4)+(-2)+4*3
-2*8-8*1/2+8/1/8 p>
(2/3+1/2)/(-1/12)*(-12)
(-28)/(-6+4)+(-1)
2/(-2)+0/7-(-8)*(-2)
(1/4-5/6+1/3+2/3) /1/ 2
18-6/(-3)*(-2)
(5+3/8*8/30/(-2)-3<
/p>
(-84)/2*(-3)/(-6)
1/2*(-4/15)/2/3
-3x+2y-5x-7y
75÷〔138÷(100-54)〕 85×(95-1440÷24)
80400-(430870÷15 ) 240×78÷(154-115)
1437×27+27×563 〔75-(12+18)〕÷15
2160÷〔(83-79) ×18〕 28840÷24×5
325÷13×(266-250) 85×(95-1440÷24)
58870÷(105+20×2 ) 1437×27+27×563
81432÷(13×52+78) [37,85-(7,85+6,4)] ×30
156×[(17,7-7,2) ÷3] (947-599)+76×64
36×(913-276÷23) [192-(54+38)]×67
[(7.1- 5,6)×0,9-1,15]÷2,5 81432÷(13×52+78)
5,4÷[2,6×(3,7-2,9)+0,62] (947-599)+76×64 60-( 9,5+28,9)]÷0,18 2,881÷0,43-0,24×3,5 20×[(2,44-1,8)÷0,4+0,15] 28-(3,4 1,25×2,4) 0,8×[15,5-(3,21 5,79)] (31,8 3,2×4 )÷5 194-64,8÷1,8×0,9 36,72÷4,25×9,9 3,416÷(0,016×35) 0,8×[(10-6,76)÷1,2]
(136+64)×(65-345 ÷23) (6,8-6,8×0,55)÷8,5
0,12× 4,8÷0,12×4,8 (58+37)÷(64-9×5)
812-700÷ (9+31×11) (3,2×1,5+2,5)÷1,6
85+14×(14+208÷26) 120-36×4÷18+35
(284+16)×(512-8208÷18) 9,72×1,6-18,305÷7
4/7÷[1/3×(3/5-3/10)] (4/5 +1/4)÷7/3+7/10
12,78-0÷( 13,4+156,6 ) 37,812-700÷(9+31×11) (136+64)×(65-345 ÷23) 3,2×(1,5+2,5)÷1,6
85+14×(14+208÷26) (58+37)÷(64-9×5)
(6,8-6,8×0,55)÷8,5 (284+16)×(512-8208÷18)
0,12× 4,8÷0,12×4,8 (3,2×1,5+2,5)÷1,6
120-36×4÷18+35 10.15-10.75×0.4-5.7
5.8×(3.87-0.13)+4.2×3.74 347+45×2-4160÷52
32.52-(6+9.728÷3.2)×2.5 87(58+37)÷(64-9×5)
[(7.1-5.6)×0.9-1.15] ÷2.5 (3.2× 1,5+2,5)÷1,6
5,4÷[2,6×(3,7-2,9)+0,62] 12×6÷(12-7,2)-6
3,2×6+(1,5 +2,5)÷1,6 (3,2×1,5+2,5)÷1,6
5,8×(3,87-0,13)+4,2×3.
74
33.02-(148.4-90.85)÷2.5
(1) Pregunta de cálculo:
(1)23+(-73)
(2)(-84)+(-49)
(3)7+(-2.04)
(4)4.23+(-7.57)
(5)(-7/3)+(-7/6)
(6)9/4+(-3/2)
(7) 3,75+(2,25)+5/4
(8)-3,75+(+5/4)+(-1,5)
(9)(-17/4)+ (-10/3)+(+13/3)+(11/3)
(10)(-1.8)+(+0.2)+(-1.7)+(0.1)+(+ 1.8)+(+1.4)
(11)(+1.3)-(+17/7)
(12)(-2)-(+2/3)
(13)|(-7.2)-(-6.3)+(1.1)|
(14)|(-5/4)-(-3/4)|- |1-5/4-|-3/4|)
(15)(-2/199)*(-7/6-3/2+8/3)
(16)4a)*(-3b)*(5c)* 1/6
1.3/7 × 49/9 - 4/3
2.8/9 × 15 /36 + 1/27
3,12× 5/6 – 2/9 ×3
4,8× 5/4 + 1/4
5,6÷ 3 /8 – 3/8 ÷6
6.4/7 × 5/9 + 3/7 × 5/9
7.5/2 -( 3/2 + 4/ 5 )
8,7/8 + ( 1/8 + 1/9 )
9,9 × 5/6 + 5/6
10,3/4 × 8 /9 - 1/3
0,12χ+1,8×0,9=7,2 (9-5χ)×0,3=1,02 6,4χ-χ=28+4,4
11,7 × 5/49 + 3/14
12,6 ×( 1/2 + 2/3 )
13,8 × 4/5 + 8 × 11/5
14,31 × 5 /6 – 5/6
15,9/7 – ( 2/7 – 10/21 )
16,5/9 × 18 – 14 × 2/7
17,4 /5 × 25/16 + 2/3 × 3/4
18,14 × 8/7 – 5/6 × 12/15
19,17/32 – 3/4 × 9 /24
20,3 × 2/9 + 1/3
21,5/7 × 3/25 + 3/7
22,3/14 ×× 2/ 3 + 1/6
23,1/5 × 2/3 + 5/6
24,9/22 + 1/11 ÷ 1/2
25,5/ 3 × 11/5 + 4/3
26,45 × 2/3 + 1/3 × 15
27,7/19 + 12/19 × 5/6
28.1/4 + 3/4 ÷ 2/3
29.8/7 × 21/16 + 1/2
30.101 × 1/5 – 1/5 × 21
31,5160÷40 (58+370)÷(64-45)
32,120-144÷18+35
33,347+45×2 -4160 ÷52
34(58+37)÷(64-9×5)
35.95÷(64-45)
36.178-1
45÷5×6+42 42580-64×21÷28
37.812-700÷(9+31×11) (136+64)×(65-345÷23)
38.85+14×(14+208÷26)
39.(284+16)×(512-8208÷18)
40.120-36×4÷ 18+35
41.(58+37)÷(64-9×5)
42.(6.8-6.8×0.55)÷8.5
43.0.12× 4.8÷0.12×4.8
44.(3.2×1.5+2.5)÷1.6 (2)3.2×(1.5+2.5)÷1.6
45.6-1.6÷ 4= 5.38+7.85-5.37=
46.7.2÷0.8-1.2×5= 6-1.19×3-0.43=
47.6.5×(4.8-1.2×4 )= 0,68×1,9+0,32×1,9
48,10,15-10,75×0,4-5,7
49,5,8×(3,87-0,13)+4,2×3,74
50.32.52-(6+9.728÷3.2)×2.5
51.-5+58+13+978-(-56)+50
52. -7*2-57/(3
53.(-7)*2/(1/3)+79/(3+6/4)
54.123+456 +789+98/(-4)
55.369/33-(-54-31/15.5)
56.39+{3x[42/2x(3x8)]} p>
57,9x8x7/5x(4+6)
58,11x 22/(4+12/2)
59,94+(-60)/10
1.
a^3-2b^3+ab(2a-b)
=a^3+2a^2b-2b^3-ab^2
=a^2(a+2b)-b^2(2b+a)
=(a+2b)(a^2-b^2)
=(a+2b)(a+b)(a-b)
2.
(x^2+y^2)^2-4y(x^ 2+y^2)+4y^2
=(x^2+y^2-2y)^2
3.
(x^ 2+2x)^2+3(x^2+2x)+x^2+2x+3
=(x^2+2x)^2+4(x^2+2x)+ 3
=(x^2+2x+3)(x^2+2x+1)
=(x^2+2x+3)(x+1)^ 2
4.
(a+1)(a+2)+(2a+1)(a-2)-12
=a^ 2+3a+2+2a^2-3a-2-12
=3a^2-12
=3(a+2)(a-2)
5.
x^2(y+z)^2-2xy(x-z)(y+z)+y^2(x-z)^2
= [x(y+z)-y(x-z)]^2
=(xz+yz)^2
=z^2(x+y)^2 p>
6.
3(a+2)^2+28(a+2)-20
=[3(a+2)-2][ (a+2)+10]
=(3a+4)(a+12)
7.
(a+b)^2- (b-c)^2+a^2-c^2
=(a+b)^2-c^2+a^2-(b-c)^2
= (a+b+c)(a+b-c)+(a+b-c)(a-b+c)
=(a+b-c)(a+b+c+a-
b+c)
=2(a+b-c)(a+c)
8.
x(x+1)(x^2+ x-1)-2
=(x^2+x)(x^2+x-1)-2
=(x^2+x)^2- (x^2+x)-2
=(x^2+x-2)(x^2+x+1)
=(x+2)(x -1)(x^2+x+1)
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