593 lines
17 KiB
TeX
593 lines
17 KiB
TeX
|
\documentclass[a4paper,10pt, landscape, twocolumn]{/media/documents/Cours/Prof/Enseignements/tools/style/classExo}
|
||
|
|
\usepackage{/media/documents/Cours/Prof/Enseignements/2015_2016}
|
||
|
|
%\geometry{left=10mm,right=10mm, top=10mm, bottom=10mm}
|
||
|
|
|
||
|
|
% 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}
|
||
|
|
|
||
|
|
%%% Local Variables:
|
||
|
|
%%% mode: latex
|
||
|
|
%%% TeX-master: "master"
|
||
|
|
%%% End:
|