• Bruchgleichungen (einfach-mittel)
  • anonym
  • 19.11.2020
  • Mathematik
  • 8
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  • 1
    ★ Berechne die unbekannte Variable.
    • x2=6x=12\gdef\cloze#1{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}} \quad \quad \begin{aligned} \frac{x}{2}&=6 \\ x&=\cloze{12} \end{aligned}
    • x4=5x=20\gdef\cloze#1{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}} \quad \quad \begin{aligned} \frac{x}{4}&=5 \\ x&=\cloze{20} \end{aligned}
    • x3=10x=30\gdef\cloze#1{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}} \quad \quad \begin{aligned} \frac{x}{3}&=10 \\ x&=\cloze{30} \end{aligned}
    • x6=1x=6\gdef\cloze#1{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}} \quad \quad \begin{aligned} \frac{x}{6}&=1 \\ x&=\cloze{6} \end{aligned}
    2
    ★ Berechne die unbekannte Variable.
    • 10x39=1x=3\gdef\cloze#1{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}} \quad \quad \begin{aligned} \frac{10 \cdot x}{3}-9&=1 \\ x&=\cloze{3} \end{aligned}
    • 11x214=3x=2\gdef\cloze#1{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}} \quad \quad \begin{aligned} \frac{11 \cdot x}{2}-14&=-3 \\ x&=\cloze{2} \end{aligned}
    • 7x2+3=10x=2\gdef\cloze#1{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}} \quad \quad \begin{aligned} \frac{7 \cdot x}{2}+3&=10 \\ x&=\cloze{2} \end{aligned}
    • 4x417=15x=2\gdef\cloze#1{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}} \quad \quad \begin{aligned} \frac{4 \cdot x}{4}-17&=-15 \\ x&=\cloze{2} \end{aligned}
    3
    ★ Berechne die unbekannte Variable.
    • 6x63=163x=56\gdef\cloze#1{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}} \quad \quad \begin{aligned} \frac{6 x}{63}&=\frac{16}{3} \\ x&=\cloze{56} \end{aligned}
    • 5x28=307x=24\gdef\cloze#1{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}} \quad \quad \begin{aligned} \frac{5 x}{28}&=\frac{30}{7} \\ x&=\cloze{24} \end{aligned}
    • 2x24=43x=16\gdef\cloze#1{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}} \quad \quad \begin{aligned} \frac{2 x}{24}&=\frac{4}{3} \\ x&=\cloze{16} \end{aligned}
    • 5x16=254x=20\gdef\cloze#1{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}} \quad \quad \begin{aligned} \frac{5 x}{16}&=\frac{25}{4} \\ x&=\cloze{20} \end{aligned}
    4
    ★★ Berechne die unbekannte Variable.
    • 7(x+47=4(74+x)x=0.5\gdef\cloze#1{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}} \quad \quad \begin{aligned} 7(x+\frac{4}{7}&=4(\frac{7}{4}+x) \\ x&=\cloze{0.5} \end{aligned}
    • 9(x+78)=9(x94)x=29\gdef\cloze#1{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}} \quad \quad \begin{aligned} 9(x+\frac{7}{8})&=9(x-\frac{9}{4})\\ x&=\cloze{-29} \end{aligned}
    • 7x4+3=3x14+3x=0\gdef\cloze#1{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}} \quad \quad \begin{aligned} -\frac{7x}{4}+3&=-\frac{3x}{14}+3\\ x&=\cloze{0} \end{aligned}
    • 32=7x8x=5\gdef\cloze#1{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}} \quad \quad \begin{aligned} \frac{3}{2}&=\frac{7-x}{8}\\ x&=\cloze{-5} \end{aligned}
    • 9x811=4x5x=40\gdef\cloze#1{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}} \quad \quad \begin{aligned} \frac{9x-8}{11}&=\frac{4x}{5}\\ x&=\cloze{40} \end{aligned}
    • 2x65=6+5x11x=33\gdef\cloze#1{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}} \quad \quad \begin{aligned} \frac{2x-6}{5}&=\frac{6+5x}{11}\\ x&=\cloze{-33} \end{aligned}