\[\boxed{\mathbf{1.}}\]
\[\textbf{а)}\ 8\ ч\ 45\ мин = 525\ мин\]
\[\textbf{б)}\ 4\ сут\ 6\ ч = 102\ ч\]
\[\textbf{в)}\ 7\ мин\ 18\ с = 438\ с\]
\[\textbf{г)}\ 540\ мин = 9\ ч\]
\[\boxed{\mathbf{2.}}\]
\[9\ ч\ 10\ мин - 5\ ч\ 12\ мин =\]
\[= 8\ ч\ 60\ мин - 5\ ч\ 12\ мин =\]
\[= 3\ ч\ 48\ мин - Винтик\ \]
\[ремонтировал\ автомобиль.\]
\[Ответ:3\ ч\ 48\ мин.\]
\[\boxed{\mathbf{3.}}\]
\[\textbf{а)}\ 25 + (x - 2) \cdot 15 = 70\]
\[(x - 2) \cdot 15 = 70 - 25\]
\[(x - 2) \cdot 15 = 45\]
\[x - 2 = 45\ :15\]
\[x - 2 = 3\]
\[x = 3 + 2\]
\[x = 5.\]
\[Проверка:\]
\[25 + (5 - 2) \cdot 15 = 70\]
\[25 + 3 \cdot 15 = 70\]
\[25 + 45 = 70\]
\[70 = 70.\]
\[\textbf{б)}\ \ 72\ :(12 - x\ :4) = 9\]
\[12 - x\ :4 = 72\ :9\]
\[12 - x\ :4 = 8\]
\[x\ :4 = 12 - 8\]
\[x\ :4 = 4\]
\[x = 4 \cdot 4\]
\[x = 16.\]
\[Проверка:\ \]
\[72\ :(12 - 16\ :4) = 9\]
\[72\ :(12 - 4) = 9\]
\[72\ :8 = 9\]
\[9 = 9.\]
\[\boxed{\mathbf{4.}}\]
\[\boxed{\mathbf{5.}}\]
\[8 - 8\ :x\ (рисунков) - Ира\ \]
\[сделала\ больше,\ чем\ Таня.\]
\[x = \left\{ 2;4;8 \right\}.\]
\[\boxed{\mathbf{6.}}\]
\[\textbf{а)}\ a\ :0 = 5\]
\[нет\ таких\ a;выражение\ не\ \]
\[имеет\ \ смысла.\]
\[\textbf{б)}\ b \cdot b + 1 = 10\]
\[при\ b = 3.\]
\[\textbf{в)}\ c \cdot (c + 2) = 0\]
\[при\ c = 0.\]
\[\textbf{г)}\ d + d < 7\]
\[при\ d = 0;1;2;3.\]
\[\boxed{\mathbf{7.}}\]