1.
[tex]A.\\3x+\frac{1}{4}=2\frac{1}{4}\\\\3x = 2\frac{1}{4}-\frac{1}{4}\\\\3x = 2 \ \ /:3\\\\x = \frac{2}{3}[/tex]
[tex]B.\\2x-\frac{1}{2} = 1\\\\2x = 1+\frac{1}{2}\\\\2x = \frac{2}{2}+\frac{1}{2}\\\\2x = \frac{3}{2}} \ \ /:2\\\\\underline{x = \frac{3}{4}}[/tex]
[tex]C.\\4x+\frac{1}{8} = \frac{27}{8}\\\\4x = \frac{27}{8}-\frac{1}{8}\\\\4x = \frac{26}{8}\\\\4x = \frac{13}{4} \ \ /:4\\\\x = \frac{13}{16}[/tex]
[tex]D.\\4-2x=3\\\\-2x = 3-4\\\\-2x=-1 \ \ /:(-2)\\\\x = \frac{1}{2}\\\\Odp. \ B.[/tex]
2.
x - pomyślana liczba
[tex]2(x+\frac{1}{2}x) = 4x-4\\\\2(\frac{2}{2}x + \frac{1}{2}x) = 2(2x-2) \ \ /:2\\\\\frac{3}{2}x = 2x-2\\\\\frac{3}{2}x - 2x =-2\\\\\frac{3}{2}x -\frac{4}{2}x = -2\\\\-\frac{1}{2}x = -2 \ \ /\cdot(-2)\\\\\underline{x = 4}\\\\Odp. \ D.[/tex]
3.
[tex]l = 2 \ m = 200 \ cm\\\\2x+3x+5x = 2 \ m\\\\10x = 2 \ m \ \ /:10\\\\x = 0,2 \ m\\\\2x = 2\cdot0,2 \ m\\\\\boxed{2x = 0,4 \ m = 40 \ cm}[/tex]
Odp. Najkrótsza część tej listwy ma długość 40 cm.
