a
Middle
School
Grade 6
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Ressource
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High
School
Grade 10
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Ressource
Out High
4
3
2
1
Outside the middle school program
/ Affine and linear functions
5 exercises (100% corrected)
a
Directing coefficient
(1 exercice)
Patent Problems Involving Inequalities
(4 exercices)
-3
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2
3
4
5
6
I
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2
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5
6
J
O
1
(
d
1
2
(
d
2
1.
Dir
e
cting
c
o
efficient
E.2571
In
the
plane
pro
vided
with
the
reference
frame
O
;
I
;
J
,
four
straigh
t
lines
are
represen
ted
:
1
Name
the
straigh
t
lines
that
are
the
represen
tation
of
a
linear
function.
2
Complete
the
follo
wing
tables
of
v
alues
:
(
d
1
):
x
-3
0
1.5
2
y
(Δ
1
):
x
-3
0
1.5
2
y
(
d
2
):
x
1
1.5
2
3.5
y
(Δ
2
):
x
1
1.5
2
3.5
y
3
a
Giv
e
the
directing
co
efficien
t
of
the
line
(
d
1
)
.
b
What
can
w
e
sa
y
ab
out
the
straigh
t
lines
(
d
1
)
and
(Δ
1
)
?
c
Compare
the
second
ro
ws
of
these
t
w
o
tables.
d
Let
M
(
x
;
y
)
b
e
an
y
p
oin
t
on
the
line
(Δ
1
)
.
Among
the
follo
wing
equalities,
giv
e
the
one
that
connects
the
ordinate
y
to
the
abscissa
x
of
the
p
oin
t
M
:
y
=
−
x
−
2.5
;
y
=
−
x
+
2.5
y
=
x
−
2.5
;
y
=
x
+
2.5
4
a
Determine
the
prop
ortionalit
y
co
efficien
t
of
the
ta-
ble
related
to
the
line
(
d
2
)
.
b
Giv
e
the
expression
of
the
linear
function
f
asso
ciated
with
the
straigh
t
line
(
d
2
)
:
f
:
x
↦−
→
:
:
:
c
Deduce
the
expression
of
the
affine
function
g
repre-
sen
ted
b
y
the
straigh
t
line
(Δ
2
)
.
2.
Patent
Pr
oblems
Involving
Ine
qualities
E.967
P
art
A
A
m
ulti-sp
ort
club
offers
its
users
a
c
hoice
of
three
form
ulas
:
F
orm
ula
A
:
1
500
F
p
er
session.
F
orm
ula
B
:
fixed
price
of
28
000
F
p
er
y
ear
plus
a
con-
tribution
of
800
F
p
er
session.
F
orm
ula
C
:
fixed
price
of
98
000
F
p
er
y
ear
regardless
of
the
n
um
b
er
of
sessions.
1
T
ania
decides
to
attend
one
session
a
mon
th
for
the
whole
y
ear.
Willy
will
attend
one
session
a
w
eek
for
the
whole
y
ear.
Raitua
will
attend
t
w
o
sessions
a
w
eek
throughout
the
y
ear
a
Cop
y
and
complete
the
follo
wing
table.
No
detailed
calculations
are
required.
Remem
b
er
that
a
y
ear
has
52
w
eeks.
T
ania
Willy
Raitua
Nom
bre
from
séances
p
our
the
année
Prix
at
pa
y
er
a
v
ec
the
form
ula
A
Prix
at
pa
y
er
a
v
ec
the
form
ula
B
Prix
at
pa
y
er
a
v
ec
the
form
ula
C
b
Whic
h
is
the
most
adv
an
tageous
form
ula
for
ev
ery
one?
2
W
e
call
x
the
n
um
b
er
of
sessions
attended
b
y
one
p
erson.
Let
P
A
b
e
the
price
to
b
e
paid
with
the
form
ula
A
.
Let
P
B
b
e
the
price
to
b
e
paid
with
the
form
ula
B
.
Express
P
A
and
P
B
as
a
function
of
x
.
3
Solv
e
the
inequation
:
1
500
x
28
000+800
x
P
art
B
h
ttps:/
/c
hingmath.fr
chapExoCorrec/2571
sacados/2571
-3
-2
-1
2
3
4
5
6
I
-3
-2
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2
3
4
5
6
J
O
1
(
d
1
2
(
d
2
chapExoCorrec/967
sacados/967
The
plots
in
this
part
will
b
e
made
on
a
sheet
of
milli-
metered
pap
er.
Let
f
:
x
↦−
→
ax
+
b
b
e
an
affine
function
with
represen
tativ
e
line
D
.
All
p
oin
ts
(
x
;
y
)
of
D
v
erify
the
relation
y
=
ax
+
b
.
W
e
will
sa
y
that
:
The
equalit
y
y
=
ax
+
b
is
the
equation
of
the
line
D
.
Dra
w
a
reference
frame
with
the
origin
O
b
eing
placed
at
the
b
ottom
left
and
:
where
1
cm
for
10
sessions
on
the
x-axis
;
where
1
cm
for
10
000
F
on
the
ordinate
axis.
the
x-axis
and
y-axis
are
p
erp
endicular.
1
Dra
w
in
this
frame
the
straigh
t
lines
:
D
A
of
equation
:
y
=
1
500
x
;
D
B
of
equation
:
y
=
800
x
+
28
000
;
D
C
of
equation
:
y
=
98
000
.
F
or
the
fol
lowing
questions,
show
the
c
onstruction
lines
use
d
to
answer
them.
No
c
alculations
ar
e
r
e
quir
e
d.
2
W
anda
c
hose
the
form
ula
A
and
paid
90
000
F
.
Ho
w
man
y
sessions
did
she
ha
v
e?
3
Determine
b
y
calculation
the
n
um
b
er
of
sessions
at
whic
h
it
is
more
adv
an
tageous
to
c
ho
ose
the
C
form
ula.
E.959
P
art
1
The
studen
ts’
asso
ciation
is
prop
osing
to
finance
a
trip
for
the
3
o
1
class
of
a
middle
sc
ho
ol
b
y
selling
knit
w
ear.
T
o
do
this,
she
offers
three
financing
form
ulas
:
form
ula
A
:
1
000
F
p
er
knit
sold
;
form
ula
B
:
a
flat-rate
gran
t
of
20
000
F
and
700
F
p
er
knit
sold
;
form
ula
C
:
a
flat-rate
gran
t
of
100
000
F
whatev
er
the
n
um
b
er
of
knits
sold.
1
a
Cop
y
and
complete
the
follo
wing
table
:
Num
b
er
de
knit
w
ear
v
endus
10
50
100
150
250
F
orm
ule
A
10
000
F
orm
ule
B
90000
F
orm
ule
C
100
000
b
Using
the
completed
table
ab
o
v
e,
whic
h
form
ula
mak
es
more
money
for
the
class
if
the
asso
ciation
sells
10
knits?
100
knits?
250
knits?
2
Let
x
b
e
the
n
um
b
er
of
knit
w
ear
items
sold
b
y
the
stu-
den
ts’
asso
ciation.
W
e
call
:
P
A
(
x
)
,
the
amoun
t
of
funding
obtained
b
y
the
class
if
the
asso
ciation
sells
x
knit
w
ear
with
the
form
ula
A
;
P
B
(
x
)
,
the
amoun
t
of
funding
obtained
b
y
the
class
if
the
asso
ciation
sells
x
knit
w
ear
with
the
form
ula
B
.
Express
P
A
(
x
)
and
P
B
(
x
)
,
the
financing
amoun
ts
as
a
function
of
x
.
3
F
rom
ho
w
man
y
knits
sold,
do
es
the
form
ula
A
yield
more
money
,
for
the
3
o
1
class,
than
the
form
ula
B
?
Second
part
Constructions
will
b
e
made
on
a
millimeter
sheet
with
the
utmost
care.
1
Dra
w
a
mark
er
with
O
placed
at
the
b
ottom
left
of
the
sheet
and
:
where
1
cm
for
10
knits
sold
on
the
x-axis.
where
1
cm
for
10
000
F
on
the
y-axis.
the
x-axis
and
y-axis
are
p
erp
endicular.
2
In
the
previous
reference
frame,
construct
the
graphical
represen
tations
of
the
functions
f
and
g
defined
b
y
:
f
(
x
)
=
1
000
x
;
g
(
x
)
=
700
x
+
20
000
3
The
studen
ts’
asso
ciation
w
on
111
000
F
with
the
form
ula
B
.
Graphically
determine
the
n
um
b
er
of
knits
sold.
(W
e’l
l
le
ave
the
c
onstruction
lines
visible).
4
Find
the
result
of
the
previous
question,
b
y
solving
an
equation.
Note
:
The
v
arious
prices
are
giv
en
in
P
olynesian
francs
(
F
P
)
.
As
a
guide,
1
euro
=
119.33
FP
.
h
ttps:/
/c
hingmath.fr
chapExoCorrec/959
sacados/959
x
0
2
4
6
8
10
12
14
y
20
40
60
80
100
120
140
160
180
200
(
d
1
(
d
2
E.955
In
a
store,
a
prin
ter
ink
cartridge
costs
15
euros.
On
a
w
ebsite,
the
same
cartridge
costs
10
eu-
ros,
with
a
fixed
deliv
ery
c
harge
of
40
euros
regardless
of
the
n
um
b
er
of
cartridges
purc
hased.
1
Repro
duce
and
complete
the
follo
wing
table
:
Nom
bre
de
cartouc
hes
ac
hetées
2
5
11
14
Prix
to
b
e
paid
in
magasin
(in
eur
os)
Prix
to
b
e
paid
p
er
In
ternet
(in
eur
os)
2
The
n
um
b
er
of
cartridges
purc
hased
is
noted
x
.
a
W
e
note
P
A
the
price
to
b
e
paid
for
the
purc
hase
of
x
cartridges
in
store.
Express
P
A
as
a
function
of
x
.
b
Note
P
B
the
price
to
b
e
paid,
including
deliv
ery
,
for
the
purc
hase
of
x
cartridges
via
the
In
ternet.
Express
P
B
as
a
function
of
x
.
3
Sho
wn
b
elo
w
are
t
w
o
straigh
t
lines
(
d
1
)
and
(
d
2
)
in
the
frame
b
elo
w
:
These
t
w
o
straigh
t
lines
are
the
graphical
represen
tations
of
the
functions
P
A
and
P
B
.
a
Asso
ciate
eac
h
of
the
functions
(
d
1
)
and
(
d
2
)
with
its
graphical
represen
tation.
b
Graphically
determine
the
most
adv
an
tageous
price
for
the
purc
hase
of
10
cartridges
(le
ave
your
c
onstruction
lines
app
ar
ent)
.
c
Sonia
has
80
euros
to
buy
cartridges.
Graphically
,
de-
termine
the
most
adv
an
tageous
form
ula
for
Sonia?
(let
your
c
onstruction
lines
b
elong)
.
4
a
Determine,
using
an
inequation,
from
whic
h
n
um-
b
er
of
cartridges
the
In
ternet
price
b
ecomes
less
than
or
equal
to
the
in-store
price?
b
Justify
the
previous
result
graphically
.
E.2576
A
video
store
offers
differen
t
rates
for
b
orro
wing
D
VDs
:
Rate
A
:
4
e
par
D
VD
b
orro
w
ed.
Rate
B
:
2.50
e
par
D
VD
b
orro
w
ed,
after
pa
ying
a
sub-
scription
of
18
e
.
T
ariff
C
:
subscription
of
70
e
p
our
an
unlimited
n
um
b
er
of
D
VDs.
1
Complete
the
follo
wing
table
sho
wing
the
price
to
b
e
paid
for
5
,
or
15
or
25
D
VD,
at
A
,
B
or
C
rates.
5
D
VD
15
D
VD
25
D
VD
T
ariff
cost
A
Cost
at
tariff
B
Cost
at
tariff
C
W
e
note
x
the
n
um
b
er
of
D
VDs
b
orro
w
ed.
2
It
is
assumed
that
the
three
tariffs
can
b
e
expressed
using
the
follo
wing
functions
:
f
:
x
↦−
→
2.5
x
+
18
;
g
:
x
↦−
→
70
;
h
:
x
↦−
→
4
x
a
Asso
ciate
eac
h
tariff
with
its
corresp
onding
function.
b
Plot
the
graphical
represen
tations
of
these
three
func-
tions
in
the
same
frame
of
reference.
T
ak
e
1
cm
as
the
abscissa
for
2
D
V
D
and
1
cm
as
the
ordinate
for
5
e
.
3
a
Solv
e
equation
:
4
x
=
2.5
x
+18
b
In
terpret
the
result.
4
a
Graphically
solv
e
the
follo
wing
inequation
:
70
2.5
x
+
18
b
Then
find
the
result
b
y
calculation.
5
Summary
:
giv
e
the
most
attractiv
e
rate
according
to
the
n
um
b
er
of
D
VDs
b
orro
w
ed.
h
ttps:/
/c
hingmath.fr
chapExoCorrec/955
sacados/955
x
0
2
4
6
8
10
12
14
y
20
40
60
80
100
120
140
160
180
200
(
d
1
(
d
2
chapExoCorrec/2576
sacados/2576
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