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\begin{enumerate}
\item ���̕��͕������̕\�����̂��܂�����������ł���B
\fbox{~~~�@~~~}~�ɂ��Ă͂܂錾�t�܂��͋L���������Ȃ����B

\begin{itemize}
\item �������ł́C~\fbox{~~\ajMaru{1}~~}~�̋L��~\fbox{~~\ajMaru{2}~~}~���͂Ԃ��B

\item ���ƕ����̐ςł́C���𕶎���~\fbox{~~\ajMaru{3}~~}~�ɏ����B

\item ���������̐ς́C�ݏ��~\fbox{~~\ajMaru{4}~~}~���g���ĕ\���B

\item �������ł͏��@�̋L��~\fbox{~~\ajMaru{5}~~}~���g�킸��~\fbox{~~\ajMaru{6}~~}~�̌`�ŕ\���B

\end{itemize}

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 & \hspace{20mm} & & \hspace{20mm} & & \hspace{20mm} \\[-8pt]
~\ajMaru{1}~ & \color{white}{��@} & ~\ajMaru{2}~ & \color{white}{$\times$} & ~\ajMaru{3}~ & \color{white}{�O} \\[-8pt]
 & & & & & \\
\hline
 & & & & & \\[-8pt]
~\ajMaru{4}~ & \color{white}{�w��} & \ajMaru{5} & \color{white}{$\div$} & \ajMaru{6} & \color{white}{����} \\[-8pt]
 & & & & & \\
\noalign{\hrule height 0.3pt}\hline
\end{tabular}\\

\item ���̌v�Z�����Ȃ����B

\begin{enumerate}

\item $2a\times (-4)$

\LINEK{-8a}

\item $\dfrac{3}{\>5\>}x\div 10$

\LINEK{\dfrac{3}{\>50\>}x}

\item $2a-4a+5a$

\LINEK{3a}

\item $(5a-4)+(5-7a)$

\hspace{-15mm}���v�Z��

\vspace{-2zw}

\vfill
\LINEK{-2a+1}

\item $(5x-2)-(-4x+7)$

\hspace{-15mm}���v�Z��~~{\color{white}{$=5x-2+4x-7$}}

\vspace{-2zw}

\vfill
\LINEK{9x-9}

\item $4(2a-1)+5(2-a)$

\hspace{-15mm}���v�Z��~~{\color{white}{$=8a-4+10-5a$}}

\vspace{-2zw}

\vfill
\LINEK{3a+6}

\item $(18a-6)\div \dfrac{\>3\>}{2}$

\hspace{-15mm}���v�Z��~~{\color{white}{$=(18a-6)\times \dfrac{2}{\>3\>}$}}

\vspace{-2zw}

\vfill
\LINEK{12a-4}

\item $-(-y+8)-4(3-2y)$

\hspace{-15mm}���v�Z��~~{\color{white}{$=y-8-12+8y$}}

\vspace{-2zw}

\vfill
\LINEK{9y-20}

\newpage

\item $\dfrac{2}{\>3\>}(6x+3)-\dfrac{1}{\>4\>}(16x+12)$

\hspace{-15mm}���v�Z��

\vspace{-2zw}
{\color{white}{$=4x+2-4x-3$}}

\LINEK{-1}

\item $\dfrac{\>a+1\>}{4}-\dfrac{\>a-2\>}{6}$

\hspace{-15mm}���v�Z��

\vspace{-1zw}
{\color{white}{$=\dfrac{\>3(a+1)-2(a-2)\>}{12}$}}

\vspace{2mm}{\color{white}{$=\dfrac{\>3a+3-2a+4\>}{12}$}}

\LINEK{\dfrac{\>a-1\>}{12}}

\end{enumerate}

\item $x=2\>,\>y=-3$�̂Ƃ��C���̎��̒l�����߂Ȃ����B

\hspace{-8mm}
\begin{tabular}{|@{\vrule width 0.3pt \hspace{2,5mm}}lll@{}|lll@{}|@{\vrule width 0.3pt}}
\multicolumn{3}{l}{(1)~$3x-4y$} & \multicolumn{3}{l}{(2)~$x^2+y^2$} \\
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���v�Z��& && ���v�Z�� && \\
\multicolumn{3}{|@{\vrule width 0.3pt \hspace{2,5mm}}l|}{\color{white}{$=3\times 2-4\times (-3)$}} & \multicolumn{3}{l|@{\vrule width 0.3pt}}{\color{white}{$=2^2+(-3)^2$}} \\
\multicolumn{3}{|@{\vrule width 0.3pt \hspace{2,5mm}}l|}{\color{white}{$=6+12$}} & \multicolumn{3}{l|@{\vrule width 0.3pt}}{\color{white}{$=4+9$}} \\
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&&& &&\\
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\vspace{0.5mm}

\item ���������̃X�g���[���g���āC���̐}�̂悤�ɐ����`�����ɂȂ����`�����܂��B
�ȉ��̖₢�ɓ����Ȃ����B

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\vspace{-2mm}
\begin{enumerate}
\item �����`��$10$������Ƃ��̃X�g���[�̍��v�̖{�������߂Ȃ����B

\LINEK{31}

\item �Ԏq����͐����`$5$�̃X�g���[�̖{���̍��v��$6+5\times 2$�Ƃ��ċ��߂܂����B
���̍l���������t�Ő������Ȃ����B

\vspace{0.5mm}
\begin{tabular}{|@{\vrule width 0.3pt \hspace{2,5mm}}l|@{\vrule width 0.3pt}}
\noalign{\hrule height 0.3pt}\hline
�������� \\
\color{white}{�c�̃X�g���[��$6$�{�C���̃X�g���[����Ɖ���$5$} \\
\color{white}{�{���Ɛ������B} \\
\hspace{73mm} \\
\noalign{\hrule height 0.3pt}\hline
\end{tabular}
\vspace{0.5mm}

\item �Ԏq����̋��߂���@�ŁC�����`��$n$������Ƃ��̃X�g���[�̖{���̍��v��$\>n\>$���g���ĕ\���Ȃ����B

\vspace{0.5mm}
\begin{tabular}{|@{\vrule width 0.3pt \hspace{2,5mm}}l|@{\vrule width 0.3pt}}
\noalign{\hrule height 0.3pt}\hline
���l��������ѓ��� \\
{\color{white}{�c�̃X�g���[�͐����`�̐����$1$�{�����̂�}} \\
{\color{white}{$(n+1)+n\times 2=n+1+2n=3n+1$}} \\
\hspace{73mm} \\
\noalign{\hrule height 0.3pt}\hline
\end{tabular}

\end{enumerate}

\begin{flushright}
(���ɂÂ�)
\end{flushright}

\newpage

\item ���̐��ʂ𕶎����ŕ\���Ȃ����B

\begin{enumerate}

\item $1$��$40$�~�̉��M$\>a\>$�{��$1$��$150$�~�̃m�[�g$1$�������āC$500$�~�o�������̂���B

\vfill
\begin{flushright}
\begin{tabular}{@{}c@{}}
\hspace{35mm} \\[-12pt]
{\color{white}{$350-40a$}}~(�~) \\
\hline
\end{tabular}
\end{flushright}
\vspace{0.5mm}

\item ���鐔��$x$�ł��������$5$�ŁC���܂肪$y$�̂Ƃ��̂��Ƃ̐��B

\LINEK{5x+y}

\item ���͂̒�����$30$\ajLig{cm}�̒����`�̉��̒�����$y$\ajLig{cm}�̂Ƃ��C�c�̒����B

\vfill
\begin{flushright}
\begin{tabular}{@{}c@{}}
\hspace{35mm} \\[-12pt]
{\color{white}{$15-y$}}~(\ajLig{cm}) \\
\hline
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\end{flushright}
\vspace{0.5mm}

\end{enumerate}

\item ���Y�N�̑̏d��$a$\ajLig{kg}�C���Y�N�̑̏d��$b$\ajLig{kg}�ł��B
���̎��͂ǂ�Ȑ��ʂ̊֌W��\���Ă��܂����B
���Ƃ΂Ő������Ȃ����B

\begin{enumerate}
\item $a>b$

\vspace{0.5mm}
\begin{tabular}{|@{\vrule width 0.3pt \hspace{2,5mm}}l|@{\vrule width 0.3pt}}
\noalign{\hrule height 0.3pt}\hline
�������� \\
\color{white}{���Y�N�̑̏d�͎��Y�N�����d���B} \\
\hspace{73mm} \\
\noalign{\hrule height 0.3pt}\hline
\end{tabular}

\item $\dfrac{\>a+b\>}{2}=45$

\vspace{0.5mm}
\begin{tabular}{|@{\vrule width 0.3pt \hspace{2,5mm}}l|@{\vrule width 0.3pt}}
\noalign{\hrule height 0.3pt}\hline
�������� \\
\color{white}{$2$�l�̑̏d�̕��ς�$45$\ajLig{kg}�ł���B} \\
\hspace{73mm} \\
\noalign{\hrule height 0.3pt}\hline
\end{tabular}
\vspace{0.5mm}

\end{enumerate}

\item �ȉ��̕��͐��w�҃K�E�X$(1777$�`$1855)$�����w�Z$2$�N���̎���,
$1$�`$100$�܂ł̎��R���̘a�����߂��l�����ł���B

\vspace{-2mm}
\begin{center}
\begin{tabular}{@{}c@{}r@{}c@{}r@{}c@{}r@{}c@{}r@{}c@{}r@{}c@{}r}
& $\>1\>$ & $+$ & $\>2\>$ & $+$ & $\>3\>$ & $+$ & $\>\cdots\>$ & $+$ & $\>99\>$ & $+$ & $\>100\>$ \\
$+\>)$ & $\>100\>$ & $+$ & $\>99\>$ & $+$ & $\>98\>$ & $+$ & $\>\cdots\>$ & $+$ & $\>2\>$ & $+$ & $\>1\>$ \\
\hline
 & $\>101\>$ & $+$ & $\>101\>$ & $+$ & $\>101\>$ & $+$ & $\>\cdots\>$ & $+$ & $\>101\>$ & $+$ & $\>101\>$ \\
 & \multicolumn{11}{@{}l}{$\>101\times 100 \div 2\>=\>$\fbox{~~\ajMaru{1}~~}}\\
\end{tabular}
\end{center}

%\vspace{2mm}
���̂��Ƃɂ��Ĉȉ��̖₢�ɓ����Ȃ����B

\begin{enumerate}
\item \ajMaru{1}�ɓ��Ă͂܂鐔�����߂Ȃ����B

\vspace{0.5mm}
\begin{flushright}
\begin{tabular}{|@{\vrule width 0.3pt \hspace{2,5mm}}c|@{\vrule width 0.3pt}}
\noalign{\hrule height 0.3pt}\hline
\hspace{35mm} \\[-8pt]
\color{white}{$5050$} \\[-8pt]
\\
\noalign{\hrule height 0.3pt}\hline
\end{tabular}
\end{flushright}
\vspace{0.5mm}

\item ���̕��@��$1\>$�`$\>a$�܂ł̎��R���̘a�����߂鎮��$\>a\>$��p�����������ŕ\���Ȃ����B(�r���̎����L�q���Ȃ����B)

\vspace{0.5mm}
\begin{tabular}{|@{\vrule width 0.3pt \hspace{2,5mm}}l|@{\vrule width 0.3pt}}
\noalign{\hrule height 0.3pt}\hline
\color{white}{$(a+1)$��$a$����̂�} \\
\color{white}{$(a+1)\times a=a(a+1)$} \\
\color{white}{����� $a(a+1)\div 2=\dfrac{\>a(a+1)\>}{2}$} \\[-8pt]
\hspace{73mm} \\
\hspace{73mm} \\
\noalign{\hrule height 0.3pt}\hline
\end{tabular}
\vspace{0.5mm}

\end{enumerate}

\end{enumerate}

\end{document}
