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% Title Page
\titre{Entrainement calcul}
% \seconde \premiereS \PSTMG \TSTMG
\classe{Troisième}
\date{Octobre 2015}
%\duree{1 heure}
\sujet{1}
% DS DSCorr DM DMCorr Corr

%\printanswers
\thispagestyle{empty}

\begin{document}

\begin{questions}
    \question
    Faire les calculs suivants en détaillant des étapes.
    \begin{multicols}{2}
    \begin{parts}
        
        \part $A = 4 - 9 \times 1$
        \begin{solution}
           \begin{eqnarray*}
               A & = & 4 - 9 \times 1 \\ 
            A & = & 4 - 9 \\ 
            A & = & -5 
           \end{eqnarray*}
        \end{solution}
        
        \part $B = 2 - 1 \times ( -1 )$
        \begin{solution}
           \begin{eqnarray*}
               A & = & 2 - 1 \times ( -1 ) \\ 
            A & = & 2 - ( -1 ) \\ 
            A & = & 3 
           \end{eqnarray*}
        \end{solution}
        
        \part $C = -8 \times ( -9 ) + 2 \times 7$
        \begin{solution}
           \begin{eqnarray*}
               A & = & -8 \times ( -9 ) + 2 \times 7 \\ 
            A & = & 72 + 14 \\ 
            A & = & 86 
           \end{eqnarray*}
        \end{solution}
        \columnbreak
        
        \part $D = ( 6 + 9 ) \times 2 + 10$
        \begin{solution}
           \begin{eqnarray*}
               A & = & ( 6 + 9 ) \times 2 + 10 \\ 
            A & = & 15 \times 2 + 10 \\ 
            A & = & 30 + 10 \\ 
            A & = & 40 
           \end{eqnarray*}
        \end{solution}
        
        \part $E = -8 ( 5 + 10 ) \times 10$
        \begin{solution}
           \begin{eqnarray*}
               A & = & -8 ( 5 + 10 ) \times 10 \\ 
            A & = & -8 \times 15 \times 10 \\ 
            A & = & -120 \times 10 \\ 
            A & = & -1200 
           \end{eqnarray*}
        \end{solution}
        
        \part $F = -9 ( -8 - 10 \times ( -9 ) )$
        \begin{solution}
           \begin{eqnarray*}
               A & = & -9 ( -8 - 10 \times ( -9 ) ) \\ 
            A & = & -9 ( -8 - ( -90 ) ) \\ 
            A & = & -9 \times 82 \\ 
            A & = & -738 
           \end{eqnarray*}
        \end{solution}
    \end{parts}
    \end{multicols}

    \question 
    Évaluer les expressions suivantes

    \begin{multicols}{2}
        \begin{parts}
            
            
            \part $- 2 x - 2$ en $x = -6$
            \begin{solution}
                \begin{eqnarray*}
                    A & = & - 2 \times ( -6 ) - 2 \\ 
            A & = & - ( -12 ) - 2 \\ 
            A & = & 12 - 2 \\ 
            A & = & 10
                \end{eqnarray*}
            \end{solution}
            
            
            \part $x - 9$ en $x = -7$
            \begin{solution}
                \begin{eqnarray*}
                    A & = & -7 - 9 \\ 
                A & = & -16
                \end{eqnarray*}
            \end{solution}
            
            \part $x - 9$ en $x = 3$
            \begin{solution}
                \begin{eqnarray*}
                    A & = & 3 - 9 \\ 
                    A & = & -6
                \end{eqnarray*}
            \end{solution}
            \columnbreak

            
            
            \part $- 9 x^{  2 } - 7 x + 7$ en $x = -2$
            \begin{solution}
                \begin{eqnarray*}
                    A & = & - 9 \times ( -2 )^{  2 } - 7 \times ( -2 ) + 7 \\ 
                    A & = & - 9 \times 4 - ( -14 ) + 7 \\ 
                    A & = & - 36 - ( -14 ) + 7 \\ 
                    A & = & -22 + 7 \\ 
                    A & = & -15
                \end{eqnarray*}
            \end{solution}
            
            \part $- 9 x^{  2 } - 7 x + 7$ en $x = -10$
            \begin{solution}
                \begin{eqnarray*}
                    A & = & - 9 \times ( -10 )^{  2 } - 7 \times ( -10 ) + 7 \\ 
                    A & = & - 9 \times 100 - ( -70 ) + 7 \\ 
                    A & = & - 900 - ( -70 ) + 7 \\ 
                    A & = & -830 + 7 \\ 
                    A & = & -823
                \end{eqnarray*}
            \end{solution}
            
            
            \part $- x^{  2 } - 7 x - 4$ en $x = -4$
            \begin{solution}
                \begin{eqnarray*}
                    A & = & - ( -4 )^{  2 } - 7 \times ( -4 ) - 4 \\ 
                    A & = & - 16 - ( -28 ) - 4 \\ 
                    A & = & 12 - 4 \\ 
                    A & = & 8
                \end{eqnarray*}
            \end{solution}
        \end{parts}
        
    \end{multicols}
\end{questions}

\setcounter{question}{0}
\hfill

\begin{questions}
    \question
    Faire les calculs suivants en détaillant des étapes.
    \begin{multicols}{2}
    \begin{parts}
        
        \part $A = 4 - 9 \times 1$
        \begin{solution}
           \begin{eqnarray*}
               A & = & 4 - 9 \times 1 \\ 
            A & = & 4 - 9 \\ 
            A & = & -5 
           \end{eqnarray*}
        \end{solution}
        
        \part $B = 2 - 1 \times ( -1 )$
        \begin{solution}
           \begin{eqnarray*}
               A & = & 2 - 1 \times ( -1 ) \\ 
            A & = & 2 - ( -1 ) \\ 
            A & = & 3 
           \end{eqnarray*}
        \end{solution}
        
        \part $C = -8 \times ( -9 ) + 2 \times 7$
        \begin{solution}
           \begin{eqnarray*}
               A & = & -8 \times ( -9 ) + 2 \times 7 \\ 
            A & = & 72 + 14 \\ 
            A & = & 86 
           \end{eqnarray*}
        \end{solution}
        \columnbreak
        
        \part $D = ( 6 + 9 ) \times 2 + 10$
        \begin{solution}
           \begin{eqnarray*}
               A & = & ( 6 + 9 ) \times 2 + 10 \\ 
            A & = & 15 \times 2 + 10 \\ 
            A & = & 30 + 10 \\ 
            A & = & 40 
           \end{eqnarray*}
        \end{solution}
        
        \part $E = -8 ( 5 + 10 ) \times 10$
        \begin{solution}
           \begin{eqnarray*}
               A & = & -8 ( 5 + 10 ) \times 10 \\ 
            A & = & -8 \times 15 \times 10 \\ 
            A & = & -120 \times 10 \\ 
            A & = & -1200 
           \end{eqnarray*}
        \end{solution}
        
        \part $F = -9 ( -8 - 10 \times ( -9 ) )$
        \begin{solution}
           \begin{eqnarray*}
               A & = & -9 ( -8 - 10 \times ( -9 ) ) \\ 
            A & = & -9 ( -8 - ( -90 ) ) \\ 
            A & = & -9 \times 82 \\ 
            A & = & -738 
           \end{eqnarray*}
        \end{solution}
    \end{parts}
    \end{multicols}

    \question 
    Évaluer les expressions suivantes

    \begin{multicols}{2}
        \begin{parts}
            
            
            \part $- 2 x - 2$ en $x = -6$
            \begin{solution}
                \begin{eqnarray*}
                    A & = & - 2 \times ( -6 ) - 2 \\ 
            A & = & - ( -12 ) - 2 \\ 
            A & = & 12 - 2 \\ 
            A & = & 10
                \end{eqnarray*}
            \end{solution}
            
            
            \part $x - 9$ en $x = -7$
            \begin{solution}
                \begin{eqnarray*}
                    A & = & -7 - 9 \\ 
                A & = & -16
                \end{eqnarray*}
            \end{solution}
            
            \part $x - 9$ en $x = 3$
            \begin{solution}
                \begin{eqnarray*}
                    A & = & 3 - 9 \\ 
                    A & = & -6
                \end{eqnarray*}
            \end{solution}
            \columnbreak

            
            
            \part $- 9 x^{  2 } - 7 x + 7$ en $x = -2$
            \begin{solution}
                \begin{eqnarray*}
                    A & = & - 9 \times ( -2 )^{  2 } - 7 \times ( -2 ) + 7 \\ 
                    A & = & - 9 \times 4 - ( -14 ) + 7 \\ 
                    A & = & - 36 - ( -14 ) + 7 \\ 
                    A & = & -22 + 7 \\ 
                    A & = & -15
                \end{eqnarray*}
            \end{solution}
            
            \part $- 9 x^{  2 } - 7 x + 7$ en $x = -10$
            \begin{solution}
                \begin{eqnarray*}
                    A & = & - 9 \times ( -10 )^{  2 } - 7 \times ( -10 ) + 7 \\ 
                    A & = & - 9 \times 100 - ( -70 ) + 7 \\ 
                    A & = & - 900 - ( -70 ) + 7 \\ 
                    A & = & -830 + 7 \\ 
                    A & = & -823
                \end{eqnarray*}
            \end{solution}
            
            
            \part $- x^{  2 } - 7 x - 4$ en $x = -4$
            \begin{solution}
                \begin{eqnarray*}
                    A & = & - ( -4 )^{  2 } - 7 \times ( -4 ) - 4 \\ 
                    A & = & - 16 - ( -28 ) - 4 \\ 
                    A & = & 12 - 4 \\ 
                    A & = & 8
                \end{eqnarray*}
            \end{solution}
        \end{parts}
        
    \end{multicols}
\end{questions}

\pagebreak
\setcounter{question}{0}
\begin{questions}
    \question
    Faire les calculs suivants en détaillant des étapes.
    \begin{multicols}{2}
    \begin{parts}
        
        \part $A = 4 - 9 \times 1$
        \begin{solution}
           \begin{eqnarray*}
               A & = & 4 - 9 \times 1 \\ 
            A & = & 4 - 9 \\ 
            A & = & -5 
           \end{eqnarray*}
        \end{solution}
        
        \part $B = 2 - 1 \times ( -1 )$
        \begin{solution}
           \begin{eqnarray*}
               A & = & 2 - 1 \times ( -1 ) \\ 
            A & = & 2 - ( -1 ) \\ 
            A & = & 3 
           \end{eqnarray*}
        \end{solution}
        
        \part $C = -8 \times ( -9 ) + 2 \times 7$
        \begin{solution}
           \begin{eqnarray*}
               A & = & -8 \times ( -9 ) + 2 \times 7 \\ 
            A & = & 72 + 14 \\ 
            A & = & 86 
           \end{eqnarray*}
        \end{solution}
        \columnbreak
        
        \part $D = ( 6 + 9 ) \times 2 + 10$
        \begin{solution}
           \begin{eqnarray*}
               A & = & ( 6 + 9 ) \times 2 + 10 \\ 
            A & = & 15 \times 2 + 10 \\ 
            A & = & 30 + 10 \\ 
            A & = & 40 
           \end{eqnarray*}
        \end{solution}
        
        \part $E = -8 ( 5 + 10 ) \times 10$
        \begin{solution}
           \begin{eqnarray*}
               A & = & -8 ( 5 + 10 ) \times 10 \\ 
            A & = & -8 \times 15 \times 10 \\ 
            A & = & -120 \times 10 \\ 
            A & = & -1200 
           \end{eqnarray*}
        \end{solution}
        
        \part $F = -9 ( -8 - 10 \times ( -9 ) )$
        \begin{solution}
           \begin{eqnarray*}
               A & = & -9 ( -8 - 10 \times ( -9 ) ) \\ 
            A & = & -9 ( -8 - ( -90 ) ) \\ 
            A & = & -9 \times 82 \\ 
            A & = & -738 
           \end{eqnarray*}
        \end{solution}
    \end{parts}
    \end{multicols}

    \question 
    Évaluer les expressions suivantes

    \begin{multicols}{2}
        \begin{parts}
            
            
            \part $- 2 x - 2$ en $x = -6$
            \begin{solution}
                \begin{eqnarray*}
                    A & = & - 2 \times ( -6 ) - 2 \\ 
            A & = & - ( -12 ) - 2 \\ 
            A & = & 12 - 2 \\ 
            A & = & 10
                \end{eqnarray*}
            \end{solution}
            
            
            \part $x - 9$ en $x = -7$
            \begin{solution}
                \begin{eqnarray*}
                    A & = & -7 - 9 \\ 
                A & = & -16
                \end{eqnarray*}
            \end{solution}
            
            \part $x - 9$ en $x = 3$
            \begin{solution}
                \begin{eqnarray*}
                    A & = & 3 - 9 \\ 
                    A & = & -6
                \end{eqnarray*}
            \end{solution}
            \columnbreak

            
            
            \part $- 9 x^{  2 } - 7 x + 7$ en $x = -2$
            \begin{solution}
                \begin{eqnarray*}
                    A & = & - 9 \times ( -2 )^{  2 } - 7 \times ( -2 ) + 7 \\ 
                    A & = & - 9 \times 4 - ( -14 ) + 7 \\ 
                    A & = & - 36 - ( -14 ) + 7 \\ 
                    A & = & -22 + 7 \\ 
                    A & = & -15
                \end{eqnarray*}
            \end{solution}
            
            \part $- 9 x^{  2 } - 7 x + 7$ en $x = -10$
            \begin{solution}
                \begin{eqnarray*}
                    A & = & - 9 \times ( -10 )^{  2 } - 7 \times ( -10 ) + 7 \\ 
                    A & = & - 9 \times 100 - ( -70 ) + 7 \\ 
                    A & = & - 900 - ( -70 ) + 7 \\ 
                    A & = & -830 + 7 \\ 
                    A & = & -823
                \end{eqnarray*}
            \end{solution}
            
            
            \part $- x^{  2 } - 7 x - 4$ en $x = -4$
            \begin{solution}
                \begin{eqnarray*}
                    A & = & - ( -4 )^{  2 } - 7 \times ( -4 ) - 4 \\ 
                    A & = & - 16 - ( -28 ) - 4 \\ 
                    A & = & 12 - 4 \\ 
                    A & = & 8
                \end{eqnarray*}
            \end{solution}
        \end{parts}
        
    \end{multicols}
\end{questions}

\hfill
\setcounter{question}{0}
\begin{questions}
    \question
    Faire les calculs suivants en détaillant des étapes.
    \begin{multicols}{2}
    \begin{parts}
        
        \part $A = 4 - 9 \times 1$
        \begin{solution}
           \begin{eqnarray*}
               A & = & 4 - 9 \times 1 \\ 
            A & = & 4 - 9 \\ 
            A & = & -5 
           \end{eqnarray*}
        \end{solution}
        
        \part $B = 2 - 1 \times ( -1 )$
        \begin{solution}
           \begin{eqnarray*}
               A & = & 2 - 1 \times ( -1 ) \\ 
            A & = & 2 - ( -1 ) \\ 
            A & = & 3 
           \end{eqnarray*}
        \end{solution}
        
        \part $C = -8 \times ( -9 ) + 2 \times 7$
        \begin{solution}
           \begin{eqnarray*}
               A & = & -8 \times ( -9 ) + 2 \times 7 \\ 
            A & = & 72 + 14 \\ 
            A & = & 86 
           \end{eqnarray*}
        \end{solution}
        \columnbreak
        
        \part $D = ( 6 + 9 ) \times 2 + 10$
        \begin{solution}
           \begin{eqnarray*}
               A & = & ( 6 + 9 ) \times 2 + 10 \\ 
            A & = & 15 \times 2 + 10 \\ 
            A & = & 30 + 10 \\ 
            A & = & 40 
           \end{eqnarray*}
        \end{solution}
        
        \part $E = -8 ( 5 + 10 ) \times 10$
        \begin{solution}
           \begin{eqnarray*}
               A & = & -8 ( 5 + 10 ) \times 10 \\ 
            A & = & -8 \times 15 \times 10 \\ 
            A & = & -120 \times 10 \\ 
            A & = & -1200 
           \end{eqnarray*}
        \end{solution}
        
        \part $F = -9 ( -8 - 10 \times ( -9 ) )$
        \begin{solution}
           \begin{eqnarray*}
               A & = & -9 ( -8 - 10 \times ( -9 ) ) \\ 
            A & = & -9 ( -8 - ( -90 ) ) \\ 
            A & = & -9 \times 82 \\ 
            A & = & -738 
           \end{eqnarray*}
        \end{solution}
    \end{parts}
    \end{multicols}

    \question 
    Évaluer les expressions suivantes

    \begin{multicols}{2}
        \begin{parts}
            
            
            \part $- 2 x - 2$ en $x = -6$
            \begin{solution}
                \begin{eqnarray*}
                    A & = & - 2 \times ( -6 ) - 2 \\ 
            A & = & - ( -12 ) - 2 \\ 
            A & = & 12 - 2 \\ 
            A & = & 10
                \end{eqnarray*}
            \end{solution}
            
            
            \part $x - 9$ en $x = -7$
            \begin{solution}
                \begin{eqnarray*}
                    A & = & -7 - 9 \\ 
                A & = & -16
                \end{eqnarray*}
            \end{solution}
            
            \part $x - 9$ en $x = 3$
            \begin{solution}
                \begin{eqnarray*}
                    A & = & 3 - 9 \\ 
                    A & = & -6
                \end{eqnarray*}
            \end{solution}
            \columnbreak

            
            
            \part $- 9 x^{  2 } - 7 x + 7$ en $x = -2$
            \begin{solution}
                \begin{eqnarray*}
                    A & = & - 9 \times ( -2 )^{  2 } - 7 \times ( -2 ) + 7 \\ 
                    A & = & - 9 \times 4 - ( -14 ) + 7 \\ 
                    A & = & - 36 - ( -14 ) + 7 \\ 
                    A & = & -22 + 7 \\ 
                    A & = & -15
                \end{eqnarray*}
            \end{solution}
            
            \part $- 9 x^{  2 } - 7 x + 7$ en $x = -10$
            \begin{solution}
                \begin{eqnarray*}
                    A & = & - 9 \times ( -10 )^{  2 } - 7 \times ( -10 ) + 7 \\ 
                    A & = & - 9 \times 100 - ( -70 ) + 7 \\ 
                    A & = & - 900 - ( -70 ) + 7 \\ 
                    A & = & -830 + 7 \\ 
                    A & = & -823
                \end{eqnarray*}
            \end{solution}
            
            
            \part $- x^{  2 } - 7 x - 4$ en $x = -4$
            \begin{solution}
                \begin{eqnarray*}
                    A & = & - ( -4 )^{  2 } - 7 \times ( -4 ) - 4 \\ 
                    A & = & - 16 - ( -28 ) - 4 \\ 
                    A & = & 12 - 4 \\ 
                    A & = & 8
                \end{eqnarray*}
            \end{solution}
        \end{parts}
        
    \end{multicols}
\end{questions}
\pagebreak

\end{document}

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