Profilbild von sozpaed
  • Übungsblatt 1 - Terme und Gleichungen
  • sozpaed
  • 04.10.2016
  • Mittlere Reife
  • Mathematik
  • 7, 8
  • https://www.tutory.de/w/c9ebb1d0
    1Bestimme zu den folgenden Gleichungen die Lösungsmenge.
    2x3=552x-3=55
    x45=123x - 45 = 123
    15x+4353=54315x + 4353 = 543
    x+15=23x + 15 = 23
    3x75=7623x - 75 = 762
    12x+34=10x+8812x + 34 = 10x + 88
    33x61=11x56733x - 61 = 11x - 567

    Lösungen

    ------------------------------------------------------------------------------------------------------------------------------------------------------------

    L={168}\mathbb{L}=\{168\}
    L={279}\mathbb{L}=\{279\}
    L={9}\mathbb{L}=\{9\}
    L={27}\mathbb{L}=\{-27\}
    L={27}\mathbb{L}=\{27\}
    L={41}\mathbb{L}=\{41\}
    L={28}\mathbb{L} = \{28\}
    L={280}\mathbb{L}=\{280\}
    L={8}\mathbb{L}=\{8\}
    L={29}\mathbb{L}=\{-29\}
    L={}\mathbb{L}=\{\}
    L={179}\mathbb{L}=\{179\}
    L={19}\mathbb{L}=\{19\}
    L={254}\mathbb{L}=\{254\}
    L={23}\mathbb{L}=\{23\}
    L={23}\mathbb{L}=\{-23\}
    L={0}\mathbb{L}=\{0\}
    L={29}\mathbb{L} = \{29\}

    ------------------------------------------------------------------------------------------------------------------------------------------------------------

    2Bestimme zu den folgenden Gleichungen die Lösungsmenge.
    7x+15x+25=3x+23+5x557x + 15 - x + 25 = 3x + 23 + 5x - 55
    12x34+9x=10x+86+11x12x - 34 + 9x = -10x + 86 + 11x
    12x45+22x123=42x+10412x - 45 + 22x - 123 = 42x + 104
    15x+43523x+125=7x543+4x15x + 4352 - 3x + 125 = 7x - 543 + 4x
    31x56+8x13=25x+993x+231x- 56 +8x - 13 = 25x+99-3x+2
    22x22+22x222=22x+2022x - 22 + 22x - 222 = 22x + 20

    Lösungen

    ------------------------------------------------------------------------------------------------------------------------------------------------------------

    L={4}\mathbb{L}=\{4\}
    L={11}\mathbb{L}=\{11\}
    L={10}\mathbb{L}=\{10\}
    L={36}\mathbb{L}=\{36\}
    L={6}\mathbb{L}=\{6\}
    L={4669}\mathbb{L}=\{4669\}
    L={5}\mathbb{L}=\{5\}
    L={12}\mathbb{L}=\{12\}
    L={20}\mathbb{L}=\{20\}
    L={35}\mathbb{L}=\{35\}
    L={9}\mathbb{L}=\{9\}
    L={4770}\mathbb{L}=\{-4770\}
    L={7}\mathbb{L}=\{7\}
    L={13}\mathbb{L}=\{13\}
    L={30}\mathbb{L}=\{30\}
    L={34}\mathbb{L}=\{34\}
    L={19}\mathbb{L}=\{19\}
    L={5020}\mathbb{L}=\{-5020\}

    ------------------------------------------------------------------------------------------------------------------------------------------------------------

    3Bestimme zu den folgenden Gleichungen die Lösungsmenge.
    7(x+3)5x=3(x11)7 \cdot (x + 3) - 5x = 3 \cdot (x - 11)
    6(7x+23)=9(7621x)+1476 \cdot (7x + 23) = 9 \cdot (76 - 21x)+147
    15(3x2)+13x=8(4x11)3x15 \cdot (3x - 2) + 13x = 8 \cdot (4x-11) - 3x
    11(11x11)+11x=11(11x11)11x11 \cdot (11x - 11) + 11x = 11 \cdot (11x-11) - 11x
    25(13x12)7x=3(7x200)3x25 \cdot (13x - 12) - 7x = 3 \cdot (7x-200) - 3x
    13(13x13)+13x=13(13x13)13x13 \cdot (13x - 13) + 13x = 13 \cdot (13x-13) - 13x

    Lösungen

    ------------------------------------------------------------------------------------------------------------------------------------------------------------

    L={1}\mathbb{L}=\{1\}
    L={11}\mathbb{L}=\{11\}
    L={45}\mathbb{L}=\{45\}
    L={3}\mathbb{L}=\{3\}
    L={2}\mathbb{L}=\{-2\}
    L={21}\mathbb{L}=\{-21\}
    L={5}\mathbb{L}=\{5\}
    L={0}\mathbb{L}=\{0\}
    L={56}\mathbb{L}=\{56\}
    L={13}\mathbb{L}=\{13\}
    L={4}\mathbb{L}=\{-4\}
    L={9}\mathbb{L}=\{-9\}
    L={6}\mathbb{L}=\{6\}
    L={10}\mathbb{L}=\{10\}
    L={54}\mathbb{L}=\{54\}
    L={31}\mathbb{L}=\{31\}
    L={4}\mathbb{L}=\{4\}
    L={3}\mathbb{L}=\{-3\}