Resuelve las siguientes operaciones combinadas, especificando todos los procedimientos para llegar al resultado.
2^4:(-4)+(3.3-5)^2-√25.4=
√3.√12-(2^3-2)+36:2^2.(-5+3)=
∛(6.4+3)-(32:8-6)^3+3.(-7.2+20)=
〖(-9+12)〗^3-16:∛(-32.(-7+5))+(-4.12+36)^2=
Resuelve las siguientes ecuaciones:
8 - x + 2 - 4 = x
x - 1 – 2.x – 11 = 2.x
Resuelve aplicando la propiedad distributiva:
4. (x + 1) = 2. (x + 10)
8.(x - 2) = 2. (7 + 3x)
resuelve
a 2x + x + 1 = 5 + 2
b 2x - 2 - 4 = x - 3
c x + 1 - 3x + 1 = 6
d 3 - x + 2 - 4 = x
e x - 1 - 2x - 1 = 2x
Respuestas
Respuesta:
. Ó Í °1: Ó ° . : , .1. : Á) -65 + 13 =-52 ) 6 - (-23) = 6 + 23 = 29 ) -2 + (-3) = -2 – 5 = -7) (-12) × (-3) × 5 = 36 5 = 180 ) 45 : (-5) =-9 ) 3 - 2 + 9 - 7 = (3 + 9) + (-2 - 7) = (12) + (-9) = 3) 3 - 2 × 5 + 7 × 4 = 3 – 10 + 28 = (28 + 3) - 10= 31 – 10 = 21) 7 + (4 - 5) - (-89) = 7 + (-1) + 89 = (89 + 7) + (-1) = 96 – 1 = 95) 4 - 3 + 7 - 2 = (4 + 7) + (-3 - 2) = (11) + (-5) = 11 – 5 = 6) (-3) × (-2) + 7 = 6 + 7 = 13 ) 3 + 4 × 5 = 3 + 20 = 23) 9 − 7 + 5 + 2 − 6 + 8 − 4 = (9 + 5 +2 +8) + (-7 - 6 - 4) = (24) + (-17) = 7) (-1) × 7 + (2 - 5) = -7 + (-3) = -10 ) 4 : 2 - (3 + 1) = 2 – (4) = -2ñ) 13 - (4 + 8) - 3 × 5 = 13 – (12) – 15 = 13 – 27 = -14) [21 : (7 × 3)] + 4 × (5 - 1) = [21 : (21)] + 4 (4) = [1] + 16 = 17) 7 - 7 - [(2 × 3) : (3 × 2)] = 0 – [(6) : (6)] = - [1] = -1) -3 - 2 × [-9 × (5 - 4) - (-6)] = -3 – 2 [-9 (1) + 6] = -3 – 2 [-9 + 6] = -3 – 2 [-3] = -3 + 6 = 3) -3 + 3 × (5 - (-4)) = -3 + 3 (5 + 4) = -3 + 3 (9) = -3 + 27 = 24) 11 × 5 - 6 × 11 = 55 – 66 = - 11
2. 2. : Á - )1 - 5 × 4 = 1 - 20= -19 )3 + 4 : 2 = 3 + 2 = 5 )1 + 4 × (3 + 2) = 1 + 4 (5) = 1 + 20 = 21)5 × 4 - (1 + 2) = 20 – 3 = 17 )18 - [(3 + 6 + 9) : (9 - 6)] = 18 – [(18) : (3)] = 18 – [6] = 12)[(55 - 10) - (3 × 6 × 9)] : (-3) =[(45) – (162)] : (-3) = [-117] : (-3) = 39)10 : 2 + 5 · 3 + 4 − 5 · 2 − 8 + 4 · 2 − 16 : 4= 5 + 15 + 4 – 10 – 8 + 8 – 4 = 20 – 10 = 10)*15 − (8 − 10 : 2 )+ · *5 + (3 ·2 − 4 )+ − 3 + (8 − 2 · 3 )= [15 – (8 - 5)]·[5 + (6 - 4)] – 3 + (8 - 6)= [15 – (3)]·[5 + (2)] – 3 + (2) = [12]·[7] – 3 + (2) = 84 – 3 + 2 = 86 – 3 = 83)14 − ,7 + 4 · 3 - [4 · 2 - 6]} + (4 + 6 - 5 · 3) + 3 - (5 - 8 : 2)== 14 − ,7 + 12 - [8 - 6)]} + (4 + 6 - 15) + 3 - (5 - 4)= 14 − ,7 + 12 - [2]} + (10 - 15) + 3 - (1)= 14 − ,19 - [2]} + (-5) + 2 = 14 − ,17-+ (-5) + 2 = (14 + 2) + (-17 - 5) = (16) + (-22) = -6)27 + 3 · 5 – 16 = 27 + 15 – 16 = 42 – 16 = 26)27 + 3 – 45 : 5 + 16 = 30 – 9 + 16 = (30 + 16) – 9 = 46 – 9 = 37) (2 · 4 + 12) (6 − 4) = (8 + 12)(2) = (20)(2) = 40)3 · 9 + (6 + 5 – 3) – 12 : 4 =27 + (8) – 3 = 35 – 3 = 32ñ)2 + 5 · (2 · 3) = 2 + 5 · (6) = 2 + 30 = 32)440 − *30 + 6 (19 − 12)+= 440 – [30 + 6 (7)]= 440 – [30 + 42] = 440 – [72] = 368)2,4 *7 + 4 (5 · 3 − 9)+ − 3 (40 − 8)- = 2,4 *7 + 4 (6)+ − 3 (32)} = 2,4 *7 + 24+ − 92}= 2,4 *31+ − 92} = 2,124− 92} = 2{32} = 64) 5 − *6 − 2 − (1 − 8) − 3 + 6+ + 5 = 5 − *4 − (-7) + 3] + 5 = 5 − *4 +7 + 3] + 5= 5 − *14] + 5= 10 – 14 = -4
3. . , . : Á – )9 : *6 : (− 2)+ = 9 : [-3] = -3)8 + 10 : 2 + 5 • 3 + 4 − 5 • 2 − 8 + 4 • 4 − 16 : 4 = 8 + 5 + 15 + 4 − 10 − 8 + 16 − 4 == (8 + 5 + 15 + 4 +16) + (-10 -8 -4) = (48) + (-22) = 261) 3 + 5 – 5 + 3 – 9 + 12 = 18 – 9 = 92) 5 – 4 + 9 + 2 – 2 – 3 – 7 – 12 – 4 = 14 – 30 = -163) 3 + 2 + 7 – 12 – 6 – 3 + 5 = 17 – 21 = -44) – 3 + 4 + 7 + 6 - 4 – 1 = 17 – 8 = 95) [- (3 + 2) – (5 + 4 - 3)] = [- (5) – (6)] = [- 5 - 6] = - 116) – 4 + [(3 – 9) – (-4 – 2) + 3] = - 4 + [(-6) – (-6) + 3] = -4 + [-6 + 6 + 3] = -4 + [3] = -17) – 5 – [(-5 – 4) – (-5 + 2)] = -5 – [(-9) – (-3)] = -5 – [-9 + 3] = -5 – [-6] = -5 + 6 = 18) -4 + [-(-4 + 9) + (-4 – 2)] = -4 + [-(5) + (-6)] = -4 + [-5 - 6] = -4 + [-11] = -4 – 11 = -159) -4 – {5 + [4 – (7 + 4 - 4)]} = -4 – {5 + [4 – (7)]} = - 4 – {5 + [-3]} = - 4 – {3} = -710) 3 + {3 – 6 – [9 + 12 – (4 + 9)]} = 3 + {- 3 – [21 – (13)]} = 3 + {- 3 – [8]} = 3 + {-11} = -811) 4 + {4 – 9 – [9 + 4 – (3 + 6) - 5] + 3} =4 + { – 5 – [13 – (9) - 5] + 3} =4 + {- 5 - [-1] + 3}= 4 + {- 5 + 1 + 3} = 4 + {-1} = 3