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1
Grade 7
/ Literal expressions: manipulation
72 exercises (including 71 corrected)
a
Simplification of literal expressions
(8 exercices)
Simplification and $x^2$ term
(16 exercices)
Simplification, $x$ terms and fractions
(3 exercices)
Introduction to distributivity
(4 exercices)
Distributivity - Development
(6 exercices)
Distributivite - Development, reduction
(7 exercices)
Distributivity, Reduction, and Computation
(5 exercices)
Distributivity - Factoring
(8 exercices)
Distributivity - Development and factoring
(6 exercices)
Modeling problem
(3 exercices)
Usmath
(5 exercices)
image PNG : /home/_math/_exercice/d6/6358/metapost/a.png
x
ChingQuizz
:
12
exercises
a
v
ailable
for
Quizz
assessmen
t
:
1.
Simplific
ation
of
liter
al
expr
essions
E.1054
Consider
the
follo
wing
literal
ex-
pression
:
A
=
2
×
x
+
3
+
x
+
2
+
3
+
4
×
x
1
a
Donner
the
v
alue
of
the
expression
A
p
our
x
=
10
.
b
Ho
w
man
y
terms
do
es
the
expression
A
con
tain?
Un-
derline
them.
2
Complete
the
table
b
elo
w
follo
wing
the
instructions
:
T
erme
Nom
bre
de
n
umér.
en
ˇ
x
ı
fois
x
2
×
x
3
x
2
3
4
×
x
Indication
:
Dans
the
column
ˇ
T
erme
ı,
put
a
cross
in
the
column
to
indicate
the
nature
of
the
term
;
In
the
column
ˇ
Num
b
er
of
times
x
ı
and
in
the
case
of
a
term
in
ˇ
x
ı,
put
the
co
efficien
t
of
x
.
3
Complete
the
follo
wing
sen
tence
:
ˇ
In
total,
the
v
alue
x
is
presen
t
.
.
.
.
.
.
in
the
ex-
pression
A
and
the
sum
of
the
n
umerical
terms
has
a
v
alue
of
.
.
.
.
.
.
ı
4
Justify
the
fact
that
the
expression
A
can
also
b
e
written
as
:
A
=
7
×
x
+8
E.1234
Simplify
the
follo
wing
expressions
:
a
3
×
x
+
2
×
x
+
1
+
5
×
x
b
2
×
5
+
2
×
x
−
14
Hin
t
:
t
w
o
writing
rules
allo
w
simplification
:
When
a
pro
duct
includes
a
n
umerical
factor
and
the
factor
ˇ
x
ı
then
the
m
ulplication
sign
can
b
e
omitted
:
2
×
x
2
x
;
2
×
x
+
3
×
5
2
x
+
15
The
n
um
b
er
2
is
called
the
co
efficien
t
of
x
.
Lorque
le
co
efficien
t
de
x
est
1
,
il
p
eut
être
omis
:
1
x
x
;
5
x
−
4
x
x
E.1877
Simplify
the
follo
wing
expressions
:
a
3
x
+
4
+
8
x
+
2
+
x
b
3
+
2
×
x
+
5
+
3
+
x
+
1
E.11078
Simplify
the
follo
wing
expressions
:
a
5
+
8
x
+
3
x
−
4
x
+
7
b
x
+
20
−
15
+
3
x
E.11196
Simplify
the
follo
wing
expressions
:
a
5
+
4
x
+
2
x
−
3
−
3
x
b
3
x
+
5
−
4
x
+
7
x
−
12
E.11219
Simplify
the
follo
wing
expressions
:
a
3
x
+
5
+
4
x
−
2
−
x
−
7
b
12
−
3
x
+
4
x
−
5
+
2
x
E.10142
1
Simplify
the
follo
wing
expressions
:
a
A
=
2
×
3
x
+
2
×
4
+
x
×
3
b
B
=
3
×
2
x
+
3
x
+
4
×
5
2
F
or
eac
h
of
these
expressions,
giv
e
the
co
efficien
t
of
the
term
in
x
and
its
n
umerical
v
alue.
E.10144
Consider
the
follo
wing
literal
ex-
pression
:
A
=
5
+
3
×
x
+
3
×
2
×
x
+
5
×
9
+
x
1
Simplify
the
expression
A
.
2
Ev
aluate
this
expression
for
x
=
3.75
.
2.
Simplific
ation
and
x
2
term
E.11104
Consider
the
follo
wing
tiling
made
up
of
squares
:
h
ttps:/
/c
hingmath.fr
chapExoCorrec/1054
sacados/1054
chapExoCorrec/1234
sacados/1234
chapExoCorrec/1877
sacados/1877
chapExoCorrec/11078
sacados/11078
chapExoCorrec/11196
sacados/11196
chapExoCorrec/11219
sacados/11219
chapExoCorrec/10142
sacados/10142
chapExoCorrec/10144
sacados/10144
chapExoCorrec/11104
sacados/11104
x
x
x
A
x
B
3
C
4
D
4
E
3
F
4
G
x
H
3
I
Whic
h
algebraic
expressions
represen
t
the
area
of
this
tiling?
a
10
x
b
7
x
×
3
x
c
10
x
2
d
21
x
e
3
x
+
7
x
f
21
x
2
E.10927
Consider
the
set
of
quadrilaterals
b
elo
w
:
1
Giv
e
the
areas
of
eac
h
of
these
quadrilaterals
as
a
func-
tion
of
x
:
Quadrilateral
A
B
C
D
E
F
G
H
I
Area
2
Complete
the
table
b
elo
w
:
Num
b
er
of
quadrilaterals
with
areas
x
2
Num
b
er
of
quadrilaterals
with
areas
x
Num
b
er
of
quadrilaterals
with
areas
1
3
W
rite
the
expression
as
a
function
of
x
giving
the
total
area
of
these
quadrilaterals.
E.1814
Consider
the
expression
:
A
=
3
×
x
×
4
×
x
×
5
1
Whic
h
rule
on
the
priorit
y
of
op
erations,
allo
ws
y
ou
to
justify
that
the
expression
A
is
equal
to
the
follo
wing
expression
B
:
B
=
3
×
4
×
5
×
x
×
x
2
Deduce
the
new
writing
of
the
expression
A
:
A
=
60
x
2
E.10146
Simplify
the
expressions
:
a
2
×
3
x
×
8
b
4
x
×
2
×
5
x
E.1815
Consider
the
follo
wing
literal
expression
:
A
=
3
×
2
+
2
×
x
+
x
×
3
×
x
+
2
x
2
+
3
×
x
+
1
1
Cop
y
the
expression
A
,
then
distinctly
underline
eac
h
of
the
terms
in
this
expression.
2
The
table
b
elo
w
represen
ts
the
six
terms
of
the
expres-
sion
A
.
In
the
righ
t-hand
column,
giv
e
the
simplified
form
of
eac
h
term
:
Simplified
expression
Expression
term
3
×
2
2
×
x
x
×
3
×
x
2
x
2
3
×
x
1
3
In
view
of
the
previous
table,
complete
the
follo
wing
sen-
tence
:
In
the
literal
expression
A
:
there
are
.
.
.
.
.
.
times
the
term
x
2
,
there
are
a
.
.
.
.
.
.
times
the
term
x
,
the
sum
of
the
n
umerical
terms
has
a
v
alue
de
.
.
.
.
.
.
4
Justify
that
the
literal
expression
A
admits
as
simplified
writing
:
A
=
5
x
2
+
5
x
+
7
E.10931
Simplify
the
expressions
b
elo
w
:
a
3
d
2
+
7
d
2
+
d
+
3
d
+
9
+
3
d
2
+
4
b
2
s
+
4
+
2
s
+
s
2
+
3
s
+
3
s
2
+
4
E.10932
Simplify
the
expressions
b
elo
w
:
a
4
r
+
8
r
+
r
2
+
4
r
2
+
7
+
3
+
7
r
b
1
+
6
p
2
+
7
p
+
p
2
+
4
p
+
2
p
+
9
E.10143
Simplify
the
follo
wing
expressions
:
a
3
x
+
7
x
2
+
5
+
2
+
2
×
x
×
3
+
7
×
2
b
3
×
x
+
2
x
+
4
×
2
+
3
+
x
×
x
+
x
E.1931
Simplify
the
follo
wing
expressions
:
a
2
x
2
+
2
+
3
×
x
+
x
2
+
6
×
2
b
2
x
2
+
3
×
x
+
x
2
+
3
x
+
2
E.11197
Simplify
the
expressions
:
a
3
x
−
x
2
+
5
x
−
7
+
3
x
+
5
+
3
x
2
+
10
x
−
12
b
−
15
x
+
12
x
2
−
5
x
2
+
14
+
32
x
−
7
+
5
x
E.11220
Simplify
the
expressions
:
a
4
x
2
+
5
x
−
12
+
2
x
+
3
x
2
+
5
−
4
x
2
b
−
7
x
+
5
x
2
−
10
+
3
x
+
2
x
2
+
8
E.11079
Simplify
the
follo
wing
expressions
:
a
9
x
2
+5
x
−
6
x
2
+4+3
x
−
2
b
5
+
8
x
−
3
+
3
x
+
2
x
2
+
x
2
E.10933
Simplify
the
expressions
b
elo
w
:
a
−
5
c
2
+
c
2
+
2
c
−
5
c
−
2
−
3
c
2
b
2
k
2
+
k
2
−
2
k
−
5
k
−
1
+
3
k
−
5
E.10934
Simplify
the
expressions
:
a
2
‘
2
−
3
+
4
‘
+
‘
−
3
−
‘
2
+
2
‘
2
b
3
w
2
−
2
w
+
4
w
+
2
−
5
+
w
2
+
2
w
2
E.10935
Simplify
the
expressions
:
a
6
x
2
+
8
y
2
−
6
y
−
3
+
4
x
2
−
6
y
−
8
x
+
4
x
b
−
1
+
4
x
2
+
8
x
−
2
x
−
2
−
3
y
−
2
y
−
2
y
2
E.10936
Simplify
the
expressions
:
a
−
5
y
2
−
5
y
2
+
4
y
+
1
+
3
−
3
x
−
7
x
2
−
6
y
b
8
y
+
4
x
+
2
−
8
y
2
−
5
−
2
x
2
+
3
y
−
7
x
h
ttps:/
/c
hingmath.fr
chapExoCorrec/10927
sacados/10927
x
x
A
x
B
3
C
4
D
4
E
3
F
4
G
x
H
3
I
chapExoCorrec/1814
sacados/1814
chapExoCorrec/10146
sacados/10146
chapExoCorrec/1815
sacados/1815
chapExoCorrec/10931
sacados/10931
chapExoCorrec/10932
sacados/10932
chapExoCorrec/10143
sacados/10143
chapExoCorrec/1931
sacados/1931
chapExoCorrec/11197
sacados/11197
chapExoCorrec/11220
sacados/11220
chapExoCorrec/11079
sacados/11079
chapExoCorrec/10933
sacados/10933
chapExoCorrec/10934
sacados/10934
chapExoCorrec/10935
sacados/10935
chapExoCorrec/10936
sacados/10936
3
cm
2
cm
x
A
B
C
D
E
F
x
2
3
G
H
I
J
K
L
4
x
2
A
B
C
D
E
F
x
3
G
H
I
J
K
L
x
y
5
2
2
2
3.
Simplific
ation,
x
terms
and
fr
actions
E.10937
Simplify
expressions
:
a
2
3
×
x
+
5
4
+
1
2
+
7
3
×
x
b
7
2
−
5
8
+
7
3
×
x
−
7
6
×
x
E.11080
Simplify
the
expressions
:
a
5
4
×
x
+
3
4
×
x
+
1
3
+
2
3
b
8
5
×
x
+
7
5
×
x
+
9
7
−
2
7
E.10938
Consider
the
figure
b
elo
w,
whic
h
is
comp
osed
of
rectangles
and
squares
:
Express
the
area
of
the
shaded
region
in
terms
of
x
.
4.
Intr
o
duction
to
distributivity
E.11102
The
t
w
o
figures
b
elo
w
are
comp
osed
of
rectangles
:
1
Let
A
1
b
e
the
area
of
rectangle
AE
F
D
.
Express
this
area
as
a
pro
duct,
then
as
a
sum.
2
Let
A
2
b
e
the
area
of
rectangle
GH
I
J
.
Express
this
area
as
a
pro
duct,
then
as
a
difference.
E.11103
The
t
w
o
figures
b
elo
w
are
comp
osed
of
rectangles
:
1
Let
A
1
b
e
the
area
of
rectangle
AE
F
D
.
Express
this
area
as
a
pro
duct,
then
as
a
sum.
2
Let
A
2
b
e
the
area
of
rectangle
GH
I
J
.
Express
this
area
as
a
pro
duct,
then
as
a
difference.
E.11741
Un
enfan
t
p
ossède
les
trois
urnes
ci-
dessous
:
1
Que
p
eut-on
dire
de
ces
trois
urnes?
2
a
Il
vide
ses
trois
urnes
sur
son
bureau.
Décrire
ce
qu’il
p
ossède.
b
Compléter
l’égalité
des
expressions
algébriques
:
3
×
x
+
2
=
:
:
:
×
x
+
:
:
:
5.
Distributivity
-
Development
E.1242
Dev
elop
and
simplify
expressions
:
a
4
×
(
x
+
5)
b
(2
x
+
1)
×
5
E.1244
Dev
elop
and
simplify
expressions
:
a
6
×
(2
x
+
3)
b
4
×
(2
x
+
4)
E.11332
Expand
and
simplify
expressions
:
a
4
×
(
x
−
5)
b
3
×
(5
x
−
3)
E.1243
Dev
elop
and
simplify
expressions
:
a
3
×
(
x
+
2)
b
5
×
(2
x
−
1)
e
3
×
(4
x
−
1)
E.11198
Expand
and
simplify
the
expres-
sions
:
a
3
×
2
x
+
3
b
x
×
3
x
−
4
E.11221
Expand
and
simplify
the
expres-
sions
:
a
4
×
3
x
+
7
b
x
×
4
x
−
2
h
ttps:/
/c
hingmath.fr
chapExoCorrec/10937
sacados/10937
chapExoCorrec/11080
sacados/11080
chapExoCorrec/10938
sacados/10938
3
cm
2
cm
x
chapExoCorrec/11102
sacados/11102
A
B
C
D
E
F
x
2
3
G
H
I
J
K
L
4
x
2
chapExoCorrec/11103
sacados/11103
A
B
C
D
E
F
x
3
G
H
I
J
K
L
x
y
5
sacados/11741
2
2
2
chapExoCorrec/1242
sacados/1242
chapExoCorrec/1244
sacados/1244
chapExoCorrec/11332
sacados/11332
chapExoCorrec/1243
sacados/1243
chapExoCorrec/11198
sacados/11198
chapExoCorrec/11221
sacados/11221
6.
Distributivite
-
Development,
r
e
duction
E.10133
Expand
and
simplify
the
expres-
sions
:
a
(2
x
+
1)
×
5
+
2
c
2
×
(4
+
x
+
5)
E.10135
Expand
and
simplify
the
expres-
sions
:
a
2
×
(6
+
x
+
2)
b
3
×
5
+
2
x
+
3
x
E.1245
Expand
and
simplify
the
expres-
sions
:
a
5
×
(2
+
x
)
+
2
×
(2
x
−
1)
b
3
×
(
x
+
2)
+
2
×
(3
x
−
1)
E.10132
Expand
and
simplify
the
expres-
sions
:
a
2
×
(
x
−
1)
+
8
×
(3
x
+
4)
b
3
×
(
x
+
2)
+
2
×
(3
x
−
1)
E.10134
Expand
and
simplify
the
expres-
sions
:
a
3(
x
+
2)
+
2
x
+
1
b
2(5
−
x
)
+
x
×
(
x
+
3)
−
7
E.11199
Expand
and
simplify
the
expres-
sions
:
a
5
x
−
2
+
3
×
4
x
−
4
b
2
x
−
4
+
x
5
+
x
E.11222
Expand
and
simplify
the
expres-
sions
:
a
3
x
+
5
+
4
×
3
x
−
7
b
4
2
x
+
1
+
x
3
+
2
x
7.
Distributivity,
R
e
duction,
and
Computation
E.1235
Consider
the
expression
:
A
=
3
;
2
x
+
5(
x
+1)+1
;
8
x
+4
.
1
Expand
and
simplify
the
literal
expression
A
.
2
Ev
aluate
the
expression
A
for
x
=
2154
;
45
.
E.1237
1
Simplify
the
expression
:
A
=
3
×
(
x
+2)+7
x
+2
.
2
Ev
aluate
the
expression
A
for
x
=
12
;
5
.
E.1236
Ev
aluate
the
expression
A
for
x
=
8541
;
554
:
A
=
3
x
+
x
+
5
×
(
x
+
2)
+
x
E.10136
Ev
aluate
the
expression
B
for
x
=
0.45684
:
B
=
12
×
(3
x
+
4)
+
7
×
(2
x
+
6)
+
10
E.10137
Ev
aluate
the
expression
B
for
x
=
12.1
où
:
B
=
3
×
(7
x
+
2)
+
5
−
21
×
x
8.
Distributivity
-
F
actoring
E.1250
Using
distributivit
y
,
factor
the
ex-
pressions
:
a
3
x
+
2
×
3
b
6
×
2
−
6
×
x
c
2
x
+
2
×
3
E.1246
Using
distributivit
y
,
factor
the
ex-
pressions
:
a
4
x
+
4
×
3
b
3
x
+
3
×
1
c
5
x
+
5
×
1
E.10145
Using
distributivit
y
,
factor
the
ex-
pressions
:
a
4
x
+
6
b
14
x
+
21
c
18
x
+
12
E.1247
Using
distributivit
y
,
factor
the
ex-
pressions
:
a
3
x
+
15
b
6
x
+
12
c
12
x
+
4
E.10139
Using
distributivit
y
,
factor
the
ex-
pressions
:
a
5
x
+
25
b
4
x
+
20
c
3
x
+
18
E.10138
Using
distributivit
y
,
factor
the
ex-
pressions
:
a
2
x
2
+
3
x
b
4
x
2
+
2
x
c
15
x
2
+
9
x
E.11200
Using
distributivit
y
,
factor
the
ex-
pressions
:
a
10
x
+
6
b
5
x
2
+
3
x
c
x
×
y
+
3
x
2
E.11223
Using
distributivit
y
,
factor
the
ex-
pressions
:
a
9
x
+
24
b
7
x
2
+
2
x
c
3
x
×
y
+
2
y
2
9.
Distributivity
-
Development
and
factoring
h
ttps:/
/c
hingmath.fr
chapExoCorrec/10133
sacados/10133
chapExoCorrec/10135
sacados/10135
chapExoCorrec/1245
sacados/1245
chapExoCorrec/10132
sacados/10132
chapExoCorrec/10134
sacados/10134
chapExoCorrec/11199
sacados/11199
chapExoCorrec/11222
sacados/11222
chapExoCorrec/1235
sacados/1235
chapExoCorrec/1237
sacados/1237
chapExoCorrec/1236
sacados/1236
chapExoCorrec/10136
sacados/10136
chapExoCorrec/10137
sacados/10137
chapExoCorrec/1250
sacados/1250
chapExoCorrec/1246
sacados/1246
chapExoCorrec/10145
sacados/10145
chapExoCorrec/1247
sacados/1247
chapExoCorrec/10139
sacados/10139
chapExoCorrec/10138
sacados/10138
chapExoCorrec/11200
sacados/11200
chapExoCorrec/11223
sacados/11223
Côté formé
de
5
carreaux
Côté formé
de
6
carreaux
Côté formé
de
7
carreaux
E.11201
Consider
the
expressions
:
A
=
3
3
x
−
2
+
5
x
+
2
1
Expand
and
simplify
the
expression
A
.
2
Using
the
expression
obtained
in
question
1
,
,
factor
the
expression
A
.
E.11202
Consider
the
expressions
:
A
=
3
4
x
+
2
+
2
x
−
5
1
Expand
and
simplify
the
expression
A
.
2
Using
the
expression
obtained
in
question
1
,
,
factor
the
expression
A
.
E.11203
Consider
the
expressions
:
A
=
2
5
x
−
4
+
5
x
−
5
1
Expand
and
simplify
the
expression
A
.
2
Using
the
expression
obtained
in
question
1
,
,
factor
the
expression
A
.
E.11204
Consider
the
expressions
:
A
=
5
5
x
2
+
x
+
x
(5
x
+
3)
1
Expand
and
simplify
the
expression
A
.
2
Using
the
expression
obtained
in
question
1
,
,
factor
the
expression
A
.
E.11205
Consider
the
expressions
:
A
=
3
5
x
2
+
5
x
+
x
(
x
+
3)
1
Expand
and
simplify
the
expression
A
.
2
Using
the
expression
obtained
in
question
1
,
,
factor
the
expression
A
.
E.11206
Consider
the
expressions
:
A
=
2
2
x
2
−
x
+
x
(3
x
−
3)
1
Expand
and
simplify
the
expression
A
.
2
Using
the
expression
obtained
in
question
1
,
,
factor
the
expression
A
.
10.
Mo
deling
pr
oblem
E.6356
W
e
w
an
t
to
mak
e
frames
with
small
tiles.
Belo
w
are
three
suc
h
frames
:
1
Keeping
in
mind
the
lo
ok
of
these
frames,
ho
w
man
y
tiles
will
it
tak
e
to
build
a
frame
that
has
8
tiles
on
eac
h
of
these
sides?
2
Of
the
form
ulas
b
elo
w,
only
one
determines
the
n
um
b
er
of
tiles
needed
to
mak
e
a
frame
ha
ving
x
tiles
on
eac
h
of
these
sides.
a
6
n
b
6
n
−
8
c
6
n
−
16
Find
the
correct
form
ula.
3
Giv
e
the
c
haracteristics
of
the
largest
frame
that
can
b
e
constructed
using
94
tiles.
E.6358
The
image
b
elo
w
sho
ws
the
fo
otprin
ts
of
a
man
w
alking.
The
step
length
P
is
the
distance
b
et
w
een
the
bac
k
of
t
w
o
consecutiv
e
fo
otprin
ts.
P
aul
ask
ed
some
of
his
friends
to
participate
in
a
study
.
Here
is
the
information
he
noted
:
Longueur
of
a
step
en
mètres
Nom
bre
of
pas
par
min
utes
Emilie
0.64
90
Ahmed
0.75
105
P
ascal
0.73
102
Whic
h
of
the
follo
wing
prop
osed
form
ulas
most
closely
ap-
pro
ximates
the
observ
ations
made
b
y
P
aul
:
a
7.5
×
n
−
1000
×
P
=
35
b
n
÷
P
=
140
c
10
×
P
×
190
−
n
=
640
où
w
e
use
the
follo
wing
notations
:
n
:
steps
p
er
min
ute
;
P
:
step
length
in
meters.
E.6474
Diariatou
reviews
her
mo
vie
releases
o
v
er
the
past
three
w
eeks
:
The
first
w
eek,
she
w
en
t
2
times
to
the
mo
vies
and
b
ough
t
a
drink
from
3
e
and
p
op
corn
from
2
e
.
The
second
w
eek,
she
w
en
t
1
times
to
the
mo
vies
and
b
ough
t
p
op
corn
at
2
e
.
The
third
w
eek
she
w
en
t
1
times
to
the
mo
vies
and
b
ough
t
nothing.
Noting
x
the
price
of
a
mo
vie
tic
k
et,
giv
e
an
expression
giving
Diaratou’s
total
sp
ending
o
v
er
the
three
w
eeks.
11.
Usmath
h
ttps:/
/c
hingmath.fr
chapExoCorrec/11201
sacados/11201
chapExoCorrec/11202
sacados/11202
chapExoCorrec/11203
sacados/11203
chapExoCorrec/11204
sacados/11204
chapExoCorrec/11205
sacados/11205
chapExoCorrec/11206
sacados/11206
chapExoCorrec/6356
sacados/6356
Côté formé
de
5
carreaux
Côté formé
de
6
carreaux
Côté formé
de
7
carreaux
chapExoCorrec/6358
sacados/6358
chapExoCorrec/6474
sacados/6474
5
x
2
3
x
1
8
x
3
9
x
7
5
x
2
4
x
5
−
4
x
−
2
−
2
x
1
2
x
−
1
5
x
2
−
x
−
1
6
x
3
−
2
x
2
x
−
2
5
x
2
−
3
x
1
7
x
2
−
2
x
−
1
x
2
9
x
7
3
x
2
−
2
−
2
x
2
9
x
9
−
x
4
6
3
A
B
C
D
E
F
x
2
3
G
H
I
J
K
L
x
6
.
9
.
3
A
B
C
D
E
F
x
2
3
G
H
I
J
K
L
E.9649
With
American
notations
:
to
p
erform
op
erations
on
al-
gebraic
expressions,
w
e
can
la
y
them
out
in
lines
b
y
aligning
terms
of
the
same
kind.
Examples
:
Here
are
the
t
w
o
op
erations
p
osed
:
(5
x
+
2)
+
(3
x
+
1)
;
(9
x
+
7)
−
(5
x
+
2)
P
erform
the
op
erations
b
elo
w
b
y
la
ying
them
out
in
lines
:
a
8
x
+
3
+
2
x
+
1
b
5
x
+
7
−
x
+
1
E.10140
P
erform
the
op
erations
b
elo
w
b
y
la
ying
them
out
in
lines
:
a
x
+
4
+
3
x
+
1
b
8
x
+
4
−
3
x
+
2
E.9650
With
American
notations
:
to
p
erform
op
erations
on
al-
gebraic
expressions,
w
e
can
la
y
them
out
in
lines
b
y
aligning
terms
of
the
same
kind.
Examples
:
Here
are
the
t
w
o
op
erations
p
osed
:
(4
x
−
2)
+
(
−
2
x
+
1)
;
(5
x
+
2)
−
(
−
x
−
1)
P
erform
the
op
erations
b
elo
w
b
y
la
ying
them
out
in
lines
:
a
8
x
−
3
+
−
2
x
−
5
b
−
5
x
+
7
−
−
x
+
1
E.10141
P
erform
the
op
erations
b
elo
w
b
y
la
ying
them
out
in
lines
:
a
x
−
4
+
−
3
x
−
1
b
5
x
+
1
−
−
3
x
−
2
E.9651
With
American
notations
:
to
p
erform
op
erations
on
al-
gebraic
expressions,
w
e
can
la
y
them
out
in
lines
b
y
aligning
terms
of
the
same
kind.
Examples
:
Here
are
the
t
w
o
op
erations
p
osed
:
(2
x
2
+
x
−
2)
+
(5
x
2
−
3
x
+
1)
;
(
x
2
+
9
x
+
7)
−
(3
x
2
−
2)
P
erform
the
op
erations
b
elo
w
b
y
la
ying
them
out
in
lines
:
a
x
2
−
3
+
5
x
2
−
2
x
+
5
b
x
2
+
x
−
4
−
−
3
x
2
+
5
x
−
1
c
3
x
2
+
7
−
−
x
2
−
5
x
+
1
12.
Unclassifie
d
exer
cises
E.11207
Consider
the
t
w
o
p
olygons
AB
C
D
E
F
and
GH
I
J
K
L
sho
wn
b
elo
w
and
comp
osed
of
rectangles
:
1
a
Express
the
area
of
the
p
olygon
AB
C
D
E
F
as
a
func-
tion
of
x
.
b
Prop
ose
the
expression
of
this
area
as
a
pro
duct.
2
a
Express
the
area
of
the
p
olygon
GH
I
J
K
L
as
a
func-
tion
of
x
.
b
Prop
ose
the
expression
of
this
area
as
a
pro
duct.
E.11224
Consider
the
t
w
o
p
olygons
AB
C
D
E
F
and
GH
I
J
K
L
sho
wn
b
elo
w
and
comp
osed
of
rectangles
:
1
a
Express
the
area
of
the
p
olygon
AB
C
D
E
F
as
a
func-
tion
of
x
.
b
Prop
ose
the
expression
of
this
area
as
a
pro
duct.
2
a
Express
the
area
of
the
p
olygon
GH
I
J
K
L
as
a
func-
tion
of
x
.
b
Prop
ose
the
expression
of
this
area
as
a
pro
duct.
h
ttps:/
/c
hingmath.fr
chapExoCorrec/9649
sacados/9649
5
x
2
3
x
1
8
x
3
9
x
7
5
x
2
4
x
5
−
chapExoCorrec/10140
sacados/10140
chapExoCorrec/9650
sacados/9650
4
x
−
2
−
2
x
1
2
x
−
1
5
x
2
−
x
−
1
6
x
3
−
chapExoCorrec/10141
sacados/10141
chapExoCorrec/9651
sacados/9651
2
x
2
x
−
2
5
x
2
−
3
x
1
7
x
2
−
2
x
−
1
x
2
9
x
7
3
x
2
−
2
−
2
x
2
9
x
9
−
chapExoCorrec/11207
sacados/11207
x
4
6
3
A
B
C
D
E
F
x
2
3
G
H
I
J
K
L
chapExoCorrec/11224
sacados/11224
x
6
.
9
.
3
A
B
C
D
E
F
x
2
3
G
H
I
J
K
L
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