ΑΣΚΗΣΕΙΣ ΠΡΩΤΟΥ ΚΕΦΑΛΑΙΟΥ Αλγεβρα Γ Γυμν

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    03-Oct-2015

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Γ Γυμνασίου

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  • 1

    1. :

    ) =

    +

    514

    324 ) +

    +

    5

    13

    2 212

    3

    2. :

    = + +

    5

    13

    2 212

    3 = + +

    +

    1

    12

    12

    13

    14

    12

    1

    =3 1

    14

    212

    1

    +

    =

    +

    61:

    31

    21

    41

    321

    3. :: =

    212

    34

    653

    32

    +

    + =

    3 114

    212

    1

    +

    =

    141

    31

    651

    4. =(-)+(-)+(-) 5. -=3 =--[-2-(-+3)+7-2] 6. = x-2[4x-3(1-4x)]

    7. =1 1x+

    = +

    8. : =(+1).(+)-.(++1)

    9. (x+y):z=(x:z)+(y:z) z0 10. :

    3.2. = x5:x3= (-2)3.(-2)-4= (-0,2)5.(-0,5)5= -4.(2)-4. 11. :

    =2 -2.(-2)4= =(-5)2 : (-5)4= =( )3

    3

    27

    3

    =(22)5= =( )223

    =[(22)2]2

    12. : ( ) =

    22

    3

    2

    xyxy

    yx

    13. x : 9.3-x=9x.27 14. x : 4x=2

    15. 652

    xy4

    y2x

    16. x=-2 y=3 : 3x2-y2+2xy3= 17. : 8x4y-1: [(2x3y2).x0] 18. : 103x=104

    19. =12 =

    +

    22244

    212

    89:23:2:3

  • 20. 2

    4

    23

    4

    2

    x49y9

    y3x7

    21. : =( )23

    7

    12

    =

    ( )( )

    =

    2

    -1-1

    3 -2z

    = ( )( ) =22

    32

    22. : = 11

    20

    43

    32

    8546

    23. : =(-3)4-53-(-2)5-[(33-12): 3-8]

    24. . = ( )12

    18

    47 2

    3

    25. : A=25x+1-3x2+4xx+2 x=-2 26. : =2x-4+2x-3+2x-2+2x-1 x=2 27. :

    ) 34

    61x

    61

    =

    ) x:

    71

    71 2 =

    28. : =(-0,25)17.811 =(-4)60.(-1,25)40 =12100.1,550.6-149

    29. =0,4 =-2,5 : 5(2)3: (-2: )-2 [(-1)2 : (3.7) -1]2

    30. = =6

    2123

    31. 98 , 162 755 32. = 7518 + 33. = 3312275 + = 34. N : )15(3 + )3523(2

    35. N 6

    2123

    36. : = =++ 49953

    37. : 1118 +++

    38. :

    =

    39. = 3312275 + 40. )23)(12()32)(32( ++

    41. . 232

    323

    2

    =

    42. >0, >0 : ( ) 221 42. : ) =+ 21127252 ) =16,0

  • ) =+++ 392826373536 ) =3964

    16156

    ) =645

    516 ) =+ 150320453

    43. : ) ( ) ( )25152 + ) 1254520 + 44. : ) = 3

    336 ) =+ 1503542248

    ) ( ) ( )=+ 2121 ) =+ 1252455 45.

    = =+ 56516 = =+++ 13713 46. : ( ) ( )2x882x4 +=+ 47. -x+(5+x)>3 48. 3