Image absente : /home/_math/_exercice/d11/11559/metapost/dessin.svg
/home/_math/_exercice/d11/11559/metapost dessin
Compilation SVG ex:-1 fichier:dessin.mp
/usr/bin/mpost -interaction=nonstopmode -halt-on-error -tex=/usr/bin/latex -s 'outputformat="svg"' -s prologues=3 -s 'outputtemplate="%j-%c.svg"' '\def filenametemplate text t = enddef; fontmapfile "=/home/_siteWeb/chingmath.fr/gestion/svg/psfonts-nouveau.map"; input dessin' 2>&1
Erreur MetaPost ex:-1
This is MetaPost, version 2.10 (TeX Live 2025/dev/Debian) (kpathsea version 6.4.0/dev)
! I can't write on file `dessin.log'.
Please type another transcript file name Image absente : /home/_math/_exercice/d11/11567/metapost/dessin.svg
/home/_math/_exercice/d11/11567/metapost dessin
Compilation SVG ex:-1 fichier:dessin.mp
/usr/bin/mpost -interaction=nonstopmode -halt-on-error -tex=/usr/bin/latex -s 'outputformat="svg"' -s prologues=3 -s 'outputtemplate="%j-%c.svg"' '\def filenametemplate text t = enddef; fontmapfile "=/home/_siteWeb/chingmath.fr/gestion/svg/psfonts-nouveau.map"; input dessin' 2>&1
Erreur MetaPost ex:-1
This is MetaPost, version 2.10 (TeX Live 2025/dev/Debian) (kpathsea version 6.4.0/dev)
! I can't write on file `dessin.log'.
Please type another transcript file name Image absente : /home/_math/_exercice/d11/11567/metapost/roseVent.svg
/home/_math/_exercice/d11/11567/metapost roseVent
Compilation SVG ex:-1 fichier:roseVent.mp
/usr/bin/mpost -interaction=nonstopmode -halt-on-error -tex=/usr/bin/latex -s 'outputformat="svg"' -s prologues=3 -s 'outputtemplate="%j-%c.svg"' '\def filenametemplate text t = enddef; fontmapfile "=/home/_siteWeb/chingmath.fr/gestion/svg/psfonts-nouveau.map"; input roseVent' 2>&1
Erreur MetaPost ex:-1
This is MetaPost, version 2.10 (TeX Live 2025/dev/Debian) (kpathsea version 6.4.0/dev)
! I can't write on file `roseVent.log'.
Please type another transcript file name Image absente : /home/_math/_exercice/d11/11568/metapost/dessin.svg
/home/_math/_exercice/d11/11568/metapost dessin
Compilation SVG ex:-1 fichier:dessin.mp
/usr/bin/mpost -interaction=nonstopmode -halt-on-error -tex=/usr/bin/latex -s 'outputformat="svg"' -s prologues=3 -s 'outputtemplate="%j-%c.svg"' '\def filenametemplate text t = enddef; fontmapfile "=/home/_siteWeb/chingmath.fr/gestion/svg/psfonts-nouveau.map"; input dessin' 2>&1
Erreur MetaPost ex:-1
This is MetaPost, version 2.10 (TeX Live 2025/dev/Debian) (kpathsea version 6.4.0/dev)
! I can't write on file `dessin.log'.
Please type another transcript file name image PDF : /home/_siteWeb/chingamath.fr/image-metapost/fusee.pdf
Image absente : /home/_math/_exercice/d11/11560/metapost/dessin.svg
/home/_math/_exercice/d11/11560/metapost dessin
Compilation SVG ex:-1 fichier:dessin.mp
/usr/bin/mpost -interaction=nonstopmode -halt-on-error -tex=/usr/bin/latex -s 'outputformat="svg"' -s prologues=3 -s 'outputtemplate="%j-%c.svg"' '\def filenametemplate text t = enddef; fontmapfile "=/home/_siteWeb/chingmath.fr/gestion/svg/psfonts-nouveau.map"; input dessin' 2>&1
Erreur MetaPost ex:-1
This is MetaPost, version 2.10 (TeX Live 2025/dev/Debian) (kpathsea version 6.4.0/dev)
! I can't write on file `dessin.log'.
Please type another transcript file name Image absente : /home/_math/_exercice/d11/11561/metapost/dessin.svg
/home/_math/_exercice/d11/11561/metapost dessin
Compilation SVG ex:-1 fichier:dessin.mp
/usr/bin/mpost -interaction=nonstopmode -halt-on-error -tex=/usr/bin/latex -s 'outputformat="svg"' -s prologues=3 -s 'outputtemplate="%j-%c.svg"' '\def filenametemplate text t = enddef; fontmapfile "=/home/_siteWeb/chingmath.fr/gestion/svg/psfonts-nouveau.map"; input dessin' 2>&1
Erreur MetaPost ex:-1
This is MetaPost, version 2.10 (TeX Live 2025/dev/Debian) (kpathsea version 6.4.0/dev)
! I can't write on file `dessin.log'.
Please type another transcript file name
× 2 ? ? 5 ? ? 7 ? ÷ 2 5 ? ? × 4 3 ? ? 5 ? ? ; 4 2 ; 2 ? ? − 4 2 ? ? ÷ 2 2 ? ? ? 10 ? × 3 6 ? × 5 ? ? 0 ; 75 ? × 3 1 ? ? ? 5 × 2 ? ? 8 − 5 ? ? 3 ; 2 ? ? 5 × 6 ? ? 9 ÷ 2 ? ? 7 ; 5 ? ? ? ? x 2 × x (2 × x 1 7 6 3 × 2 ÷ 2 − 1 x 17 x 2 × x (2 × x − 3 5 × 2 ÷ 2 − 1
1.
Reverse
op er ations
E.2406
1
Complete
eac h
of
the
follo wing
diagrams
:
2
Using
the
diagrams
ab o v e,
giv e
the
solutions
of
the
fol- lo wing
equations
:
a
x
×
2
=
5
b
x
+
3
=
7
c
x
−
4
=
7
d
x
×
5
=
2
E.10353
On
eac h
of
the
diagrams
b elo w,
com- plete
the
missing
information
:
1
Complete
the
follo wing
diagrams
:
2
Giv e
the
solutions
to
eac h
of
the
follo wing
equations
:
a
x
+
3
=
5
b
2
×
x
=
8
c
x
−
5
=
3
d
x
+
3.2
=
5
e
6
×
x
=
9
f
x
÷
2
=
7.5
E.10354
Solv e
the
follo wing
equations
:
a
x
+
5
=
12
b
x
−
3
=
2
c
3
×
x
=
4.2
d
x
÷
5
=
1.2
Hint :
one
ma y
use
a
diagram
lik e
b elo w
to
solv e
these
equations
:
2.
ˇOne-sidedı
e quations
E.10355
Note:
for
the
equation
(2
×
x
)+1= 7
,
finding
the
solutions
is
easy
b ecause
all
y ou
need
to
do,
using
the
priorities
of
the
op erations,
to
see
ho w
the
expression
on
the
left-hand
side
is
constructed
in
order
to
obtain
the
n umerical
v alue
on
the
righ t-hand
side.
The
diagram
b elo w
sho ws
this
resolution
:
The
solution
to
the
equation
(2
×
x
)+1= 7
is
the
n um b er
3
.
Determine
the
solution
to
the
equation
(7
×
x
)+3= 17
by
com- pleting
the
diagram
b elo w
:
E.2407
1
Complete
the
lo w er
part
of
the
follo wing
diagram :
2
What
v alue
of
ˇ
x
ı
v erifies
the
equalit y
b elo w
:
(2
×
x
)
−
3
=
5
https:/ /c hingmath.fr
chapExoCorrec/2406 sacados/2406 × 2 ? ? 5 ? ? 7 ? ÷ 2 5 ? ? × 4 3 ? ? 5 ? ? ; 4 2 ; 2 ? ? − 4 2 ? ? ÷ 2 2 ? ? ? 10 ? × 3 6 ? × 5 ? ? 0 ; 75 ? × 3 1 ? chapExoCorrec/10353 sacados/10353 ? ? 5 × 2 ? ? 8 − 5 ? ? 3 ; 2 ? ? 5 × 6 ? ? 9 ÷ 2 ? ? 7 ; 5 chapExoCorrec/10354 sacados/10354 ? ? ? ? chapExoCorrec/10355 sacados/10355 x 2 × x (2 × x 1 7 6 3 × 2 ÷ 2 − 1 x 17 chapExoCorrec/2407 sacados/2407 x 2 × x (2 × x − 3 5 × 2 ÷ 2 − 1
4 x 3 3 x 5 5 x 1 2 x 10 8 x 2 4 x 14 3 x 2 x 6 (7 × x 4 (2 × x 14 − 4 − 4 7 × x (2 × x 10 − (2 × x − (2 × x 5 × x 10 ÷ 5 ÷ 5 x 2
E.10356
Without
justification,
giv e
the
solutions
of
the
follo wing
equations
:
a
(3
×
x
)
+
1
=
4
b
(5
×
x
)
−
4
=
6
c
(2
×
x
)
+
1
=
5
E.10357
Using
for
eac h
question
a
diagram
sim-
ilar
to
this
one
ab o v e,
find
the
v alue
of
ˇ
x
ı
that
v erifies
the
equalit y :
a
(3
×
x
)
−
2
=
7
b
(5
×
x
)
+
10
=
16
c
(3
×
x
)
+
1
=
5.5
d
2
×
(3
×
x
)
+
1
=
8
3.
ˇTwo-sidedı
e quations
E.10351
Determine,
for
eac h
question,
the
v alue
of
x
achieving
equilibrium
of
the
balance
:
a
b
c
d
E.10352
Method
:
to
solv e
the
equation
:
(7
×
x
)
+
4
=
2
×
x
)
+
14
we
transform
step
b y
step
to
arriv e
at
the
last
step
in
the
form
ˇ
x
=
:
:
:
ı
allo wing
us
to
obtain
the
solution
of
this
equation.
Here’s
a
prop osal
for
a
m ulti-step
transformation
to
obtain
the
solution
of
the
equation
:
Solve
the
follo wing
equations
:
a
(5
×
x
)
+
7
=
(3
×
x
)
+
13
b
(2
×
x
)
+
1
=
x
+
8
c
(9
×
x
)
+
6
=
(5
×
x
)
+
14
d
(4
×
x
)
+
1
=
x
+
10
4.
Systems
of
e quations :
intr o duction
to
substitution
E.11559
Consider
the
t w o
purc hases
b elo w
:
The
price
of
a
can
is
.
.
.
The
price
of
a
coffee
is
.
.
.
E.11567
W e
kno w
the
follo wing
relationships
:
W e
ha v e
the
v alue
:
=.
.
.
5.
System
of
e quations :
intr o duction
to
line ar
c ombinations
E.11568
W e
kno w
the
follo wing
relationships
:
W e
ha v e
the
v alue
:
=.
.
.
E.10495
In
a
café,
here
are
t w o
orders
and
the
amoun t
of
their
bill :
Inv oice :
4.5
e
.
Inv oice :
10.8
e
In
this
café,
what
are
the
prices
of
a
croissan t
and
a
coffee?
https:/ /c hingmath.fr
chapExoCorrec/10356 sacados/10356 chapExoCorrec/10357 sacados/10357 chapExoCorrec/10351 sacados/10351 4 x 3 3 x 5 5 x 1 2 x 10 8 x 2 4 x 14 3 x 2 x 6 chapExoCorrec/10352 sacados/10352 (7 × x 4 (2 × x 14 − 4 − 4 7 × x (2 × x 10 − (2 × x − (2 × x 5 × x 10 ÷ 5 ÷ 5 x 2 sacados/11559
sacados/11567 sacados/11568 chapExoCorrec/10495 sacados/10495
E.10497
In
a
café,
here
are
t w o
orders
and
the
amoun t
of
their
bill :
Inv oice
A
:
15.20
e
.
Inv oice
B
:
10
e
What
are
the
prices,
in
this
café,
for
a
coffee
and
a
can?
E.10496
In
a
café,
here
are
t w o
orders
and
the
amoun t
of
their
bill :
Inv oice :
11
e
.
Inv oice :
14.3
e
In
this
café,
what
are
the
prices
of
a
croissan t
and
a
can?
E.11560
Consider
the
t w o
purc hases
b elo w
:
The
price
of
a
can
is
.
.
.
.
.
.
e
.
The
price
of
a
coffee
is
.
.
.
.
.
.
.
E.11561
Consider
the
t w o
purc hases
b elo w
:
The
price
of
a
can
is
.
.
.
.
.
.
e
.
The
price
of
a
coffee
is
.
.
.
.
.
.
e
.
https:/ /c hingmath.fr
chapExoCorrec/10497 sacados/10497 chapExoCorrec/10496 sacados/10496 sacados/11560
sacados/11561