GUIA DE ESTUDIOS PARA EXAMEN DE
ADMISIÓN AL BACHILLERATO
CICLO ESCOLAR 2018-2019
16
𝐿 = (2)(30)(3.14) = 1.884
(1.884)(10) = 18.84
17
2) −4
3𝑎5𝑏8 +
2𝑐
7𝑑4 −4
3 𝑦
2
7
𝑐
𝑑4
18
−2
11(𝑥3𝑦3)4
5√𝑎7
−4
3𝑥3𝑦𝑧2 𝑧 =
1
2
−4
3(−1)39 (
1
2)
2
3
21
10014
p
2
ppp
10014
p
2
pp
10014/1
p
2/1
pp
1001p4p2pp
10014/1
p
2/1
ppp
23
a
b
𝑎
𝑏=
𝑐
𝑑, 𝑎: 𝑏 ∷ 𝑐: 𝑑
4
2=
12
6, 9: 24 ∷ 18: 48
7
3=
𝑥
4
24
1
2
$
$
$
$
$ $
25
1600𝑔𝑟
2200𝑔𝑟=
$196.00
𝑥
$
LECHE (gramos)
$
$ $
$
26
𝑥 =(2200𝑔𝑟)($196.00)
1600𝑔𝑟
𝑥 = $269.50
$2300.00
𝑥=
100%
20%
𝑥 =($2,300.00)(20%)
100%
𝑥 = 460.00
$2,300.00 − $460.00 = $1840.00
1𝑐𝑚
13𝑐𝑚=
5𝑘𝑚
𝑥
𝑥 =(13𝑐𝑚)(5𝑘𝑚)
1𝑐𝑚
𝑥 = 65𝑘𝑚
27
25 𝑎𝑙𝑢𝑚𝑛𝑜𝑠 → $300.00
20 𝑎𝑙𝑢𝑚𝑛𝑜𝑠 → 𝑥
20 𝑎𝑙𝑢𝑚𝑛𝑜𝑠
25 𝑎𝑙𝑢𝑚𝑛𝑜𝑠=
$300.00
𝑥
𝑥 =(25 𝑎𝑙𝑢𝑚𝑛𝑜𝑠)($300.00)
(20 𝑎𝑙𝑢𝑚𝑛𝑜𝑠)
𝑥 = $375.00
3 𝑓𝑢𝑔𝑎𝑠 → 4 𝑑í𝑎𝑠 → 4,000 𝑙𝑖𝑡𝑟𝑜𝑠
6 𝑓𝑢𝑔𝑎𝑠 → 5 𝑑í𝑎𝑠 → 𝑥
28
(3 𝑓𝑢𝑔𝑎𝑠
6 𝑓𝑢𝑔𝑎𝑠) (
4 𝑑í𝑎𝑠
5 𝑑í𝑎𝑠) =
4,000 𝑙𝑖𝑡𝑟𝑜𝑠
𝑥
12
30=
4,000 𝑙𝑖𝑡𝑟𝑜𝑠
𝑥
𝑥 = 10,000 𝑙𝑖𝑡𝑜𝑠
(100)(200−160)
200= 20
29
𝑚 =𝑦2 − 𝑦1
𝑥2 − 𝑥1
𝑚 =480 − 240
4 − 2= 120
32
(3𝑥)(−𝑥2)
−3𝑥3
(2𝑥)(3 − 𝑥2)
(2𝑥)(3) + (2𝑥)(−𝑥2)
6𝑥 − 2𝑥3
(5𝑥 − 𝑦)(3𝑦 − 𝑥)
(5𝑥)(3𝑦) + (5𝑥)(−𝑥) + (−𝑦)(3𝑦) + (−𝑦)(−𝑥)
15𝑥𝑦 − 5𝑥2 − 3𝑦2 + 𝑥𝑦
33
16𝑥𝑦 − 5𝑥2 − 3𝑦2
𝑎2+4𝑎+4
2
𝑎2+5𝑎+8
2
𝑎2+5𝑎+5
2
𝑎2+5𝑎+4
2
x
y
y
x
a+1
a+4
39
1
𝑎(𝑎𝑥) =
1
𝑎(−𝑏)
𝑥 = −𝑏
𝑎
41
𝑥 =96
3= 32
𝑎 ≠ 0
42
𝑥 =±𝑏√𝑏2 − 4𝑎𝑐
2𝑎
43
𝑥 =−7 ± √72 − 4(1)(10)
2(1)=
−7 ± √49 − 40
2=
−7 ± √9
2=
−7 ± 3
2
𝑥1 =−7 + 3
2=
−4
2= −2
𝑥2 =−7 − 3
2=
−10
2= −5
46
{𝑥 + 𝑦 = 25𝑥𝑦 = 127
} 𝑥(25 − 𝑥) = 144,
𝑥2 − 25𝑥 + 144 = 0 𝑥1 = 9 𝑦 𝑥2=16
48
04.113360
º90)12(
360
22
sec
r
A tor
49
4 m
3.5 m
4.5 m
3 m
24 √3 𝑚
24 √2 𝑚
𝑠𝑒𝑛 𝜃 =𝐶𝑂
𝐻 ∴ 𝐻 =
𝐶𝑂
𝑠𝑒𝑛 𝜃=
12
𝑠𝑒𝑛 60=
12
√32
= 24√3 𝑚
51
0%
10%
20%
30%
10 9 8 7 6
10%
20%
30% 25%
15%
0%
10%
20%
30%
10 9 8 7 6
0%
10%
20%
30%
10 9 8 7 6
0%
10%
20%
30%
10 9 8 7 6
53
9
5
18
7
18
11
9
4
27
90+
23
90=
50
90=
5
9
56
Narrativos ( y novela)
Expositivos (divulgación científica e
informativos)
Argumentativos (ensayos, artículos
de opinión)
88
110 cm
110√3
110
√3
55
latas
89
661𝑥 − 100𝑥2 + 4𝑥3
616 − 100𝑥 + 4𝑥2
28𝑥 − 4𝑥2
5 − 12𝑥 − 4𝑥2
90
𝐴 = 𝜋𝑟2
154 m²
93
𝜋
2
4
3𝜋
3
2𝜋
3
4𝜋
95
2𝑥2 + 5𝑥 − 12 3𝑥 + 1 2𝑥2 − 11𝑥 − 12 6𝑥 + 2
96
𝜋 = 3.14
78.5 m2
80.5 m2
82.5 m2
84.5 m2
97
8
1
6
1
8
2
3
1
7
93
7
98
𝑦 = 3𝑥 + 7 𝒙
𝒚,
99
√29𝑚
2√29𝑚 29m
58m