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2 enteros
Realiza las siguientes operaciones con números enteros:
-3 + 2 = -1 + (-5)= 3 + (-2)=
5 + (-2)= -3 + 9 = 4 + (-9)=
3 – 9= 4 – 2 = 2 – 4=
-2 – 4 = -2 + (-4)= 4 + (-3)=
-3 + 4 = 5. (-8)= -3 . (-2)=
3. (+2)= 4. (-12)= -2. (-11)=
3 – (-2)= 4 – (+2)= 5 – (-2)=
3 + (-9)= -10 -23 = +2 - 29=
40 + (-51)= -24 + 12= 13 – 4 =
4 – 13 = -13 – 4 = 4. (-13)=
5. (-2)= 5 – 2 = 2 – 5 =
2 + (-5)= 2 – ( -5)= -5. (-2)=
5 – (+2)= 45 – 2 = 23 – 45 =
-2 – 34 = -1 + (-11)= -2 + 4=
7 ecuaciones
RESUELVE LAS SIGUIENTES ECUACIONES:
2 +3x -1 = 4 4 -2x = 12 – x
2x + 3x -1 = 1 – x 2 + 3x + 3x -4 = 2x
4 - 5x -1 = 2 + 3x 4x – x +3 = 2 – 4x +1
3 + 3x – 2 = 1- 2 –x 2 – 2x+ 3 = 1 + 3x + 1
-3 + 2x +3 = 4 – 5x +1 2 – 3x +1 = 7 – 3x
4 enteros
-2. ( 5 -3)= 2. ( 4 -9)=
3.( -1-2)= 3.( -2 + 6)=
4.( 2 -5) = -2. ( 1- 4)=
-3. ( -2 + 9)= -5 . ( 2+ 1)=
3- 2. (-1)= 4.(-2) + 2.( -1)=
-3.( 2 + 5 )= 2. ( -7) – 3. ( -4)=
-1. ( -2 – 4)= 5.( 3 – 9)=
10.(-3) +1= -2.4 -8=
5 ecuaciones
Resuelve las siguientes ecuaciones con un solo paso:
2.x = 8 -3 + x = 5 2 + x = 5
-4. x = 4 5. x = 10 -2.x = 84
x – 5 = 2 2x = -6 -3x = -9
2.x = - 16 -2.x = -10 x. (-2) = 12
x – 3 = 19 3 + x = 32 2 = x -3
x + 1 = -4 5.x = -15 -x + 3 = 12
7. x = -14 28 = -7. x -24 = -4.x
x + 5 = -11 -81 = -3.x 4.x = -12
6 ecuaciones
5x = 25 2x = 36
6x = -18 -5x = 45
-4x = 96 -12 = 4x
x – 1 = -21 x + 3 = -9
x + 5 = -2 x – 3 + 2 = 5
3 enteros
2 + ( -3) = -3 + (-19)= 4 – ( -2)=
-2. (-2).5= 3 + (-10) = -1 +( -3) =
-3. ( -1). 2= 2 +(-7) = -3 –(-6)=
-2 + ( -2) = -2 –(-2) = 2. (-2) .(-2)=
4.(-2) = -4 – (+3)= 5 – ( -2) =
-3. ( -1)= -2 –(-1) = -4.( (-2) . 2=
-10. ( -2).2= 3.(-1) .3= -2.5.(-1)=
2-(-5) +1= -3 +3 –(-2)= -2 + 3 –(-1)=
-1 +(-3) -4= -2+ 5 –(+2)= -3 +2 +(-3)=
-4 + (-2) -2= 4 – (+2) -5= -1 + ( -2) –(+3)=
2.(-1) . 4 = -3 . (-2). (-4)= -3. (-1).(-3)=
8 ecuaciones
2.x-1 = -2.3x+1 3.-2x+1 = -2.1-x
3 + x = 2. 2- 3x 4.( -2)+3x = 2. 4x +1
-3.1 + x = 3.4x-2 5.-1 –x = 3. x + 1
3x + 5x = 2. 2x -3 4x +5. 2 –x = 2. x + 2
2x -3 = 2.( -2)-x 3 x+1 -2. 3x-1 = 0
1 enteros
2 - 5 = -3 + 6 = 4 + (-3)=
-2 – 4 = -2. (+3) = 4 – 3 =
4. (-2)= -5 + 6= 9 – 4 =
+2 – 7 = -2 – 6 = -1 + 9 =
-3-5-= 9 + (+3)= -2 + ( -1)=
-5 + 3 = -1 + (-9)= -1 + 7 =
5 + 3 = -3. (+3)= 2. (-3)=
-1. ( -3)= +2.(-4)= +4. (-2)=
-3 + 5 = -2 – 5 = 2 + (-5)=
-3 – 6 = 3 +(-8)= -2 + (-1)=
1 – (-3) = 2+ (-1) = -3. (+2)=
-1. (-4)= 3 + 8 = 2 + (-10)=
-2.(-8) = -1.(+3)= -1.(-3)=
(+2).(-19)= -23. (+1)= 23. (-2)=

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CUADERNILLO_enteros_y_ecuaciones__(Mayo_2009).doc

  • 1. 2 enteros Realiza las siguientes operaciones con números enteros: -3 + 2 = -1 + (-5)= 3 + (-2)= 5 + (-2)= -3 + 9 = 4 + (-9)= 3 – 9= 4 – 2 = 2 – 4= -2 – 4 = -2 + (-4)= 4 + (-3)= -3 + 4 = 5. (-8)= -3 . (-2)= 3. (+2)= 4. (-12)= -2. (-11)= 3 – (-2)= 4 – (+2)= 5 – (-2)= 3 + (-9)= -10 -23 = +2 - 29= 40 + (-51)= -24 + 12= 13 – 4 = 4 – 13 = -13 – 4 = 4. (-13)= 5. (-2)= 5 – 2 = 2 – 5 = 2 + (-5)= 2 – ( -5)= -5. (-2)= 5 – (+2)= 45 – 2 = 23 – 45 = -2 – 34 = -1 + (-11)= -2 + 4= 7 ecuaciones RESUELVE LAS SIGUIENTES ECUACIONES: 2 +3x -1 = 4 4 -2x = 12 – x 2x + 3x -1 = 1 – x 2 + 3x + 3x -4 = 2x 4 - 5x -1 = 2 + 3x 4x – x +3 = 2 – 4x +1 3 + 3x – 2 = 1- 2 –x 2 – 2x+ 3 = 1 + 3x + 1 -3 + 2x +3 = 4 – 5x +1 2 – 3x +1 = 7 – 3x
  • 2. 4 enteros -2. ( 5 -3)= 2. ( 4 -9)= 3.( -1-2)= 3.( -2 + 6)= 4.( 2 -5) = -2. ( 1- 4)= -3. ( -2 + 9)= -5 . ( 2+ 1)= 3- 2. (-1)= 4.(-2) + 2.( -1)= -3.( 2 + 5 )= 2. ( -7) – 3. ( -4)= -1. ( -2 – 4)= 5.( 3 – 9)= 10.(-3) +1= -2.4 -8= 5 ecuaciones Resuelve las siguientes ecuaciones con un solo paso: 2.x = 8 -3 + x = 5 2 + x = 5 -4. x = 4 5. x = 10 -2.x = 84 x – 5 = 2 2x = -6 -3x = -9 2.x = - 16 -2.x = -10 x. (-2) = 12 x – 3 = 19 3 + x = 32 2 = x -3 x + 1 = -4 5.x = -15 -x + 3 = 12 7. x = -14 28 = -7. x -24 = -4.x x + 5 = -11 -81 = -3.x 4.x = -12
  • 3. 6 ecuaciones 5x = 25 2x = 36 6x = -18 -5x = 45 -4x = 96 -12 = 4x x – 1 = -21 x + 3 = -9 x + 5 = -2 x – 3 + 2 = 5 3 enteros 2 + ( -3) = -3 + (-19)= 4 – ( -2)= -2. (-2).5= 3 + (-10) = -1 +( -3) = -3. ( -1). 2= 2 +(-7) = -3 –(-6)= -2 + ( -2) = -2 –(-2) = 2. (-2) .(-2)= 4.(-2) = -4 – (+3)= 5 – ( -2) = -3. ( -1)= -2 –(-1) = -4.( (-2) . 2= -10. ( -2).2= 3.(-1) .3= -2.5.(-1)= 2-(-5) +1= -3 +3 –(-2)= -2 + 3 –(-1)= -1 +(-3) -4= -2+ 5 –(+2)= -3 +2 +(-3)= -4 + (-2) -2= 4 – (+2) -5= -1 + ( -2) –(+3)= 2.(-1) . 4 = -3 . (-2). (-4)= -3. (-1).(-3)=
  • 4. 8 ecuaciones 2.x-1 = -2.3x+1 3.-2x+1 = -2.1-x 3 + x = 2. 2- 3x 4.( -2)+3x = 2. 4x +1 -3.1 + x = 3.4x-2 5.-1 –x = 3. x + 1 3x + 5x = 2. 2x -3 4x +5. 2 –x = 2. x + 2 2x -3 = 2.( -2)-x 3 x+1 -2. 3x-1 = 0 1 enteros 2 - 5 = -3 + 6 = 4 + (-3)= -2 – 4 = -2. (+3) = 4 – 3 = 4. (-2)= -5 + 6= 9 – 4 = +2 – 7 = -2 – 6 = -1 + 9 = -3-5-= 9 + (+3)= -2 + ( -1)= -5 + 3 = -1 + (-9)= -1 + 7 = 5 + 3 = -3. (+3)= 2. (-3)= -1. ( -3)= +2.(-4)= +4. (-2)= -3 + 5 = -2 – 5 = 2 + (-5)= -3 – 6 = 3 +(-8)= -2 + (-1)= 1 – (-3) = 2+ (-1) = -3. (+2)= -1. (-4)= 3 + 8 = 2 + (-10)= -2.(-8) = -1.(+3)= -1.(-3)= (+2).(-19)= -23. (+1)= 23. (-2)=