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%%
%% black �� black �̒u�������Ŗ͔͉𓚂ɂȂ�܂��B
%%
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\begin{enumerate}
\item ���̕���\fbox{~~~�@~~~}~�ɂ��Ă͂܂錾�t�܂��͐��⎮�������Ȃ����B

\begin{itemize}
\item ���ʂ̊֌W���C�ȏ�C�ȉ��ł���Ƃ��C�u$a$��$b$�ȏ�v�ł��邱�Ƃ�~\fbox{~~\ajMaru{1}~~}~�C�u$c$��$d$�ȉ��v�ł��邱�Ƃ�~\fbox{~~\ajMaru{2}~~}~�ƕ\���B

\item ����$3x+2=x+10$�́C$x$�̒l��~\fbox{~~\ajMaru{3}~~}~�̂Ƃ��C���ӂ̒l�ƉE�ӂ̒l���������Ȃ�C���������藧�B����ȊO�̒l�ł͐��藧���Ȃ��B
���̂悤��$x$�̒l�ɂ���Đ��藧�����萬�藧���Ȃ������肷�铙����������Ƃ����B����$x$�̒l���������~\fbox{~~\ajMaru{4}~~}~�Ƃ����B

\end{itemize}

\vspace{0.5mm}\hspace{-7mm}
\begin{tabular}{|@{\vrule width 0.3pt}c@{}|@{}c@{}|@{}c@{}|@{}c@{}|@{\vrule width 0.3pt}}
\noalign{\hrule height 0.3pt}\hline
 & \hspace{40mm} & & \hspace{40mm} \\[-8pt]
~\ajMaru{1}~ & \color{white}{$a\leqq b$} & ~\ajMaru{2}~ & \color{white}{$c\geqq d$} \\[-8pt]
 & & & \\
\hline
 & & & \\[-8pt]
~\ajMaru{3}~ & {\color{white}{$4$}} & \ajMaru{4} & \color{white}{��} \\[-8pt]
 & & & \\
\noalign{\hrule height 0.3pt}\hline
\end{tabular}\\

\item ���̕������������Ȃ����B

\begin{enumerate}
\item $x+6=-2$

{\color{white}{$x=-2-6$}}

\LINEK{x=-8}

\item $\dfrac{1}{\,4\,}x=16$

{\color{white}{
\hspace{-1.5mm}
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$\dfrac{1}{\,4\,}x\times 4$ & $\>=\>$ & $16\times 4$
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\LINEK{x=64}

\item $4x-3=5$

\hspace{-15mm}���v�Z��

\vspace{-1.5zw}
{\color{white}{
\hspace{-1.5mm}
\begin{tabular}{r@{}c@{}l}
$4x$ & $\>=\>$ & $8$
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}}

\LINEK{x=2}

\item $3+7x=4x-6$

\hspace{-15mm}���v�Z��

\vspace{-1.5zw}
{\color{white}{
\hspace{-1.5mm}
\begin{tabular}{r@{}c@{}l}
$7x-4x$ & $\>=\>$ & $-6-3$ \\
$3x$ & $\>=\>$ & $-9$ \\
\end{tabular}
}}
\vfill
\vfill
\LINEK{x=-3}

\item $8x-6(x-1)=14$

\hspace{-15mm}���v�Z��

\vspace{-1.5zw}
{\color{white}{
\hspace{-1.5mm}
\begin{tabular}{r@{}c@{}l}
$8x-6x+6$ & $\>=\>$ & $14$ \\
$2x$ & $\>=\>$ & $14-6$ \\
$2x$ & $\>=\>$ & $8$ \\
\end{tabular}
}}
\vfill
\vfill
\LINEK{x=4}

\newpage

\item $0.7x-1=0.3x+2$

\hspace{-15mm}���v�Z��

\vspace{-1.5zw}
{\color{white}{
\hspace{-1.5mm}
\begin{tabular}{r@{}c@{}l}
$(0.7x-1)\times 10$ & $\>=\>$ & $(0.3x+2)\times 10$ \\
$7x-10$ & $\>=\>$ & $3x+20$ \\
$7x-3x$ & $\>=\>$ & $20+10$ \\
$4x$ & $\>=\>$ & $30$ \\
\end{tabular}
}}
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\vfill
\LINEK{x=\dfrac{15}{\,2\,}}

\item $\dfrac{2}{\,3\,}x-\dfrac{1}{\,2\,}=\dfrac{1}{\,6\,}x+2$

\hspace{-15mm}���v�Z��

{\color{white}{
\hspace{-1.5mm}
\begin{tabular}{r@{}c@{}l}
$\Bigl(\dfrac{2}{\,3\,}x-\dfrac{1}{\,2\,}\Bigl)\times 6$ & $\>=\>$ & $\Bigl(\dfrac{1}{\,6\,}x-2\Bigl)\times 6$ \\
$4x-3$ & $\>=\>$ & $x-12$ \\
$3x$ & $\>=\>$ & $-9$ \\
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\item $\dfrac{\,x+5\,}{6}=\dfrac{\,3x+1\,}{4}$

\hspace{-15mm}���v�Z��

{\color{white}{
\hspace{-1.5mm}
\begin{tabular}{r@{}c@{}l}
$\dfrac{\,x+5\,}{6}\times 12$ & $\>=\>$ & $\dfrac{\,3x+1\,}{4}\times 12$ \\
$2(x+5)$ & $\>=\>$ & $3(3x+1)$ \\
$2x+10$ & $\>=\>$ & $9x+3$ \\
$2x-9x$ & $\>=\>$ & $3-10$ \\
$-7x$ & $\>=\>$ & $-7$ \\
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}}
\vfill
\vfill
\LINEK{x=1}

\end{enumerate}

\item ���̔�Ꭾ�������Ȃ����B

\begin{enumerate}
\item $x\,:\,3=4\,:\,5$

{\color{white}{
\hspace{-1.5mm}
\begin{tabular}{r@{}c@{}l}
$5x$ & $\>=\>$ & $12$ \\
\end{tabular}
}}

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\LINEK{x=\dfrac{\,12\,}{5}}

\item $5\,:\,8=(x-2)\,:\,16$

{\color{white}{
\hspace{-1.5mm}
\begin{tabular}{r@{}c@{}l}
$8(x-2)$ & $\>=\>$ & $80$ \\
$8x-16$ & $\>=\>$ & $80$ \\
$8x$ & $\>=\>$ & $96$ \\
\end{tabular}
}}

\vspace{-1zw}
\LINEK{x=12}
\end{enumerate}

\item $x$�ɂ��Ă̕�����\,$3(x-1)-2a=4$\,�̉���$-3$�ł���Ƃ��C$a$�̒l�����߂Ȃ����B

{\color{white}{
\hspace{-1.5mm}
\begin{tabular}{r@{}c@{}l}
\multicolumn{3}{l}{$x=-3$����}\\
$3(-3-1)-2a$ & $\>=\>$ & $4$ \\
$-12-2a$ & $\>=\>$ & $4$ \\
$-2a$ & $\>=\>$ & $16$ \\
$a$ & $\>=\>$ & $-8$ \\
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\newpage

%\vspace{1mm}
\item $1$��$120$�~�̂�񂲂�$1$��$80$�~�݂̂�������킹��$15$��������C����̍��v��$1400$�~�ɂȂ�܂����B��������񂲂Ƃ݂���̌������ꂼ�ꋁ�߂Ȃ����B
��������p���ċ��߂Ȃ����B

\vspace{1mm}
\underline{\color{white}{~~~~~~��񂲂̌���~~~~~~}}��$x$�Ƃ���B

\vspace{1mm}
\begin{tabular}{|@{\vrule width 0.3pt \hspace{2.5mm}}c|@{\vrule width 0.3pt}}
\noalign{\hrule height 0.3pt}\hline
\hspace{80mm}  \\[-12pt]
\color{white}{
\begin{tabular}{r@{}c@{}l}
$120x+80(15-x)$ & $\,=\,$ & $1400$ \\
$40x-1200$ & $=$ & $1400$ \\
$40x$ & $=$ & $200$ \\
$x$ & $=$ & $5$ \\
\multicolumn{3}{@{}c@{}}{$15-5=10$}\\
\end{tabular}
}\\
\multicolumn{1}{|@{\vrule width 0.3pt}r|@{\vrule width 0.3pt}}{\underline{~~���{\color{white}{~~~~$5$~~~~}}�C�݂���{\color{white}{~~~$10$~~~}}��~~}}
\\[-12pt]
\\
\noalign{\hrule height 0.3pt}\hline
\end{tabular}

\vspace{1mm}
\item ����400\ajLig{m}�̐V����������180\ajLig{km}�ő����Ă��܂��B���̐V�������S����n��n�߂Ă���n��I���܂łɁC$20$�b������܂����B�S���̒��������߂Ȃ����B
��������p���ċ��߂Ȃ����B

\vspace{1mm}
\underline{\color{white}{~~~~~~�S���̒�����~~~~~}}��$x$�Ƃ���B

\vspace{1mm}
\begin{tabular}{|@{\vrule width 0.3pt \hspace{2.5mm}}c|@{\vrule width 0.3pt}}
\noalign{\hrule height 0.3pt}\hline
\hspace{80mm} \\[-12pt]
\color{white}{
\begin{tabular}{r@{}c@{}l}
\multicolumn{3}{@{}c@{}}{$20$�b$\rightarrow \dfrac{1}{3}$��$\rightarrow \dfrac{1}{180}$���ԂȂ̂�}\\
$\dfrac{(x+400)}{180000}$ & $\,=\,$ & $\dfrac{1}{\,180\,}$ \\
$x+400$ & $=$ & $1000$ \\
$x$ & $=$ & $600$ \\
\end{tabular}
}\\
\\
\multicolumn{1}{|@{\vrule width 0.3pt}r|@{\vrule width 0.3pt}}{\underline{\color{white}{~~~$600$~~~}}\ajLig{m}}
\\[-12pt]
\\
\noalign{\hrule height 0.3pt}\hline
\end{tabular}

\vspace{1mm}
\item ���͂������C$\mathrm{A}$�̑܂�50�C$\mathrm{B}$�̑܂ɂ������͂����Ă��܂��B
$\mathrm{B}$�̑܂���10�����o���āC$\mathrm{A}$�̑܂Ɉڂ����Ƃ���C$\mathrm{A}$��$\mathrm{B}$�̑܂̒��̌��̔䂪$3\,:\,4$�ɂȂ�܂����B
���͂����͑S���ŉ�����ł��傤���B��Ꭾ�𗘗p���ċ��߂Ȃ����B

\vspace{1mm}
\begin{tabular}{|@{\vrule width 0.3pt \hspace{2.5mm}}c|@{\vrule width 0.3pt}}
\noalign{\hrule height 0.3pt}\hline
\multicolumn{1}{|@{\vrule width 0.3pt}l|@{\vrule width 0.3pt}}{���l������} \\[-12pt]
\hspace{80mm}  \\[-8pt]
\color{white}{$\mathrm{B}$�̑܂̒���$x$�Ƃ���B}\\
\color{white}{
\begin{tabular}{r@{}c@{}l}
$(50+10)\,:\,(x-10)$ & $\,=\,$ & $3\,:\,4$ \\
$3(x-10)$ & $=$ & $240$ \\
$3x-30$ & $=$ & $240$ \\
$3x$ & $=$ & $270$ \\
$x$ & $=$ & $90$ \\
\multicolumn{3}{@{}c@{}}{$50+90=140$}\\
\end{tabular}
}\\[-12pt]
\multicolumn{1}{|r|}{\underline{\color{white}{~~~140~~~}~~~}��}
\\[-12pt]
\\
\noalign{\hrule height 0.3pt}\hline
\end{tabular}

\end{enumerate}

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