a
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4
3
2
1
Outside the high school program
/ Algebra: first-degree rational expression
18 exercises (100% corrected)
a
Equation reduced to the first degree
(5 exercices)
Equation reduced to a product equation
(4 exercices)
Equation with recognition of a remarkable identity
(7 exercices)
1.
Equation
r
e
duc
e
d
to
the
first
de
gr
e
e
E.9429
Résoudre
l’équation
:
4
x
−
2
2
x
−
3
−
6
x
−
2
3
x
+
1
=
0
E.9430
Solv
e
the
equation
:
x
+
3
3
x
+
2
=
x
−
2
3
x
+
3
E.9427
Solv
e
the
equation
:
4
x
−
2
2
x
−
3
−
6
x
−
2
3
x
+
1
=
0
E.9431
Résoudre
l’équation
:
−
3
x
−
3
3
x
+
4
+
2
x
+
2
2
x
+
1
=
0
E.9433
Consider
the
equation
:
1
2
x
+
1
=
1
3
−
x
Giv
e
the
solution
set
of
the
equation,
then
solv
e
the
equation
:
2.
Equation
r
e
duc
e
d
to
a
pr
o
duct
e
quation
E.4487
Consider
the
equation
:
(
E
)
:
−
2
x
2
+
7
x
−
6
x
2
−
5
x
+
7
=
0
1
Expand
the
expression
:
(2
x
−
3)(2
−
x
)
2
Solv
e
equation
(
E
)
.
E.9415
Solv
e
the
equation
:
x
3
x
+
2
=
5
x
2
x
+
1
E.464
Consider
the
equation
:
1
−
x
3
x
+2
−
1
2(
x
+1)
=
0
Giv
e
the
solution
set
of
the
equation,
then
solv
e
the
equation
:
E.4473
Résoudre
l’équation
:
2
x
−
3
3
x
+
1
+
3
−
2
x
x
+
4
=
0
3.
Equation
with
r
e
c
o
gnition
of
a
r
emarkable
identity
E.9432
Consider
the
equation
:
9
x
2
+
6
x
+
1
x
−
1
=
0
Giv
e
the
solution
set
of
the
equation,
then
solv
e
the
equation.
E.9434
Consider
the
equation
:
x
2
−
9
x
2
−
1
=
0
Giv
e
the
solution
set
of
the
equation,
then
solv
e
the
equation.
E.448
Consider
the
follo
wing
t
w
o
equations
:
(
E
)
:
x
2
+
2
x
+
1
x
−
1
=
0
;
(
F
)
:
x
−
5
x
−
1
+
4
x
+
1
=
0
1
is
equation
(
E
)
defined
for
x
=
1
?
a
b
F
or
what
v
alues
of
x
,
is
equation
(
F
)
not
defined?
2
Solv
e
eac
h
of
these
t
w
o
equations.
E.9428
Solv
e
the
equation
:
x
−
3
x
+2
+
x
+2
3
x
+1
=
0
E.4620
Solv
e
the
follo
wing
equations
:
a
2
x
−
3
x
−
2
−
x
+
3
x
−
1
=
0
b
2
x
+
1
2
x
+
2
=
0
c
x
+
2
−
3
x
−
3
+
x
+
2
4
x
+
5
=
0
E.9435
Solv
e
the
equation
:
x
2
x
2
+
1
−
4
x
+
4
4
x
+
3
=
0
E.9417
Résoudre
l’équation
:
x
−
1
x
+
2
+
x
+
3
2
x
+
3
=
0
4.
Unclassifie
d
financial
ye
ars
E.9413
Résoudre
l’équation
:
3
−
x
4
x
+
3
+
2
x
−
3
3
x
+
3
=
0
h
ttps:/
/c
hingmath.fr
chapExoCorrec/9429
sacados/9429
chapExoCorrec/9430
sacados/9430
chapExoCorrec/9427
sacados/9427
chapExoCorrec/9431
sacados/9431
chapExoCorrec/9433
sacados/9433
chapExoCorrec/4487
sacados/4487
chapExoCorrec/9415
sacados/9415
chapExoCorrec/464
sacados/464
chapExoCorrec/4473
sacados/4473
chapExoCorrec/9432
sacados/9432
chapExoCorrec/9434
sacados/9434
chapExoCorrec/448
sacados/448
chapExoCorrec/9428
sacados/9428
chapExoCorrec/4620
sacados/4620
chapExoCorrec/9435
sacados/9435
chapExoCorrec/9417
sacados/9417
chapExoCorrec/9413
sacados/9413
-3
-2
-1
2
3
4
5
6
7
I
-3
-2
-1
2
3
J
O
A
B
C
E.2708
Belo
w
is
the
represen
tativ
e
curv
e
of
the
function
f
,
in
the
orthonormal
frame
(
O
;
I
;
J
)
whose
expres-
sion
of
f
(
x
)
is
expressed
as
:
f
(
x
)
=
a
·
x
+
b
2
·
x
+
c
where
a
,
b
,
c
,
d
are
fixed
real
n
um
b
ers.
The
p
oin
ts
A
,
B
,
C
of
the
curv
e
C
f
also
b
elong
to
the
grid.
Determine
the
complete
equation
of
this
curv
e.
h
ttps:/
/c
hingmath.fr
chapExoCorrec/2708
sacados/2708
-3
-2
-1
2
3
4
5
6
7
I
-3
-2
-1
2
3
J
O
A
B
C
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