Page 59 - RM 1° Sec GM

Operadores matemáticos

7 Si a = 2a + 1, entonces:
9 Si x + 2 = x + 1 y x – 5 = x – 4,
A) (2 ) = 10 B) (3 ) = 16 C) (5 ) = 24
D) (4 ) = 20 E) (8 ) = 35
calcule M = 99 + 1

A) 1 B) 101 C) 98 D) 99 E) 0

A) 2 = 2⋅2 + 1 = 5 ⇒ (2 ) = 5 = 2⋅5 + 1 = 11 (F)

B) 3 = 2⋅3 + 1 = 7 ⇒ (3 ) = 7 = 2⋅7 + 1 = 15 (F)

C) 5 = 2⋅5 + 1 = 11 ⇒ (5 ) = 11 = 2⋅11 + 1 = 23 (F)
• 99 = 104 – 5 = 104 – 4 = 100

D) 4 = 2⋅4 + 1 = 9 ⇒ (4 ) = 9 = 2⋅9 + 1 = 19 (F)
• 1 = –1 + 2 = –1 + 1 = 0

E) 8 = 2⋅8 + 1 = 17 ⇒ (8 ) = 17 = 2⋅17 + 1 = 35 (V)
Clave E ∴ M = 100 + 0 = 98 + 2 = 98 + 1 = 99
Clave D

8 Se define las operaciones: a b = ab – (a + b) y
2
2
m  n = m + n .
Marque lo correcto: 10 Si 2n – 2 = 4n + 1 , calcule 7 + 3 .
A) 2 5 < 0 B) 1 8 < 1  8 C) 2 7 > 7  2 A) 20 B) 49 C) 51
D) 3 6 > 3  6 E) 1  3 < 1 3 D) 52 E) 54

A) 2 5 = 2⋅5 – (2 + 5) = 3 > 0 (F)
B) 1 8 = 1⋅8 – (1 + 8) = –1
2
1 ∆ 8 = 1 + 8 = 65 (V)
2
• 7 = 2⋅4,5 – 2 = 4⋅4,5 + 1 = 19
C) 2 7 = 2⋅7 – (2 + 7) = 5
2
2
7 ∆ 2 = 7 + 2 = 53 (F) 7 = 19 = 2⋅2,5 – 2 = 4⋅10,5 + 1 = 43
D) 3 6 = 3⋅6 – (3 + 6) = 9
2
2
3 ∆ 6 = 3 + 6 = 45 (F) • 3 = 2⋅2,5 – 2 = 4⋅2,5 + 1 = 11
2
2
E) 1 ∆ 3 = 1 + 3 = 10 ∴ 43 + 11 = 54 Clave E
 Geniomatic E.I.R.L. Prohibida su reproducción. D. Leg. N° 822
1 3 = 1⋅3 – (1 + 3) = –1 (F)
Clave B
Tarea

2
2
3 Si x y = x + y ,
1 Si m  n = (m + n)(n + 2m), Prohibida su reproducción total o parcial
calcule (5 1) (–3 2)
halle 3  2.

x
2 Si x # y = xy – , 4 Calcule 5  2, sabiendo que:
y
2
2
halle 8 # 2. x  y = (x + y) + (x – y) .

Razonamiento Matemático 1 - Secundaria 59