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A ( − ( − ( − ( −
ChingQuizz
:
15
exercises
a v ailable
for
Quizz
assessmen t
:
1.
Reminders :
additions
E.6088
Using
men tal
arithmetic,
giv e
the
results
of
the
follo wing
op erations
:
a
(+0.6)
+
(+1.5)
b
(+0.8)
+
(
−
1.5)
c
(
−
5.1)
+
(
−
0.7)
d
(
−
3.2)
+
(
−
0.5)
e
(+1.4)
+
(
−
7)
f
(+2.2)
+
(+4.9)
2.
Reminders :
sum
of
sever al
terms
E.8670
Method
:
to
p erform
the
sum
of
sev eral
relativ e
n um b ers,
w e
calculate
the
sum
of
the
p ositiv e
n um b ers,
calculate
the
sum
of
the
negativ e
n um b ers,
then
add
these
t w o
sums.
Example:
Perform
the
follo wing
calculations
:
a
(+3)
+
(
−
5)
+
(+1)
+
(
−
1)
b
(
−
2)
+
(
−
4)
+
(+6)
+
(
−
1)
+
(+7)
c
(+7)
+
(
−
2)
+
(
−
4)
+
(+3)
d
(
−
2)
+
(+1)
+
(+4)
+
(
−
3)
E.8679
P erform
the
follo wing
calculations
:
a
(
−
0.5)
+
(+2.7)
+
(+1.5)
+
(
−
1.7)
b
(
−
4.1)
+
(+1.6)
+
(
−
3.7)
+
(+0.4)
c
(
−
3.3)
+
(
−
1.2)
+
(+4.5)
+
(
−
1.2)
d
(+2.5)
+
(+1.7)
+
(
−
7.1)
+
(+2.4)
3.
Reminders :
addition
and
subtr action
E.8687
P erform
the
follo wing
calculations
:
a
(+2)
+
(
−
5)
b
(
−
3)
−
(
−
4)
c
(
−
5)
−
(+2)
d
(+2)
−
(
−
7)
e
(
−
6)
+
(
−
2)
f
(+7)
−
(+2)
E.4342
Rule
for
subtracting
relativ e
n um b ers :
To
subtract
t w o
relativ e
n um b ers,
add
the
first
n um b er
to
the
opp osite
of
the
second
n um b er
Examples:
(+3)
−
(+5)
=
(+3)
+
(
−
5)
=
−
2
(
−
3)
−
(+5)
=
(
−
3)
+
(
−
5)
=
(
−
8)
Perform
the
follo wing
calculations
:
a
(+5)
−
(+3)
b
(
−
3)
−
(
−
3)
c
(
−
7)
−
(+13)
E.1711
P erform
the
follo wing
calculations
:
a
(
−
3)
+
(+7)
+
(+3)
b
(
−
7)
+
(
−
2)
+
(+4)
+
(
−
1)
c
(+7)
−
(
−
2)
+
(+4)
d
(+5)
+
(
−
4)
−
(+7)
Indication
:
calculations
will
b e
carried
out
with
w ording
similar
to
the
example
opp osite
:
E.8665
P erform
the
calculations
b elo w
:
a
(
−
1.5)
−
(+2.7)
b
(
−
0.8)
−
(
−
1.2)
c
(+0.8)
−
(
−
2.2)
d
(+1.7)
−
(+2.6)
E.8686
P erform
the
calculations
b elo w
:
a
(+2)
+
(
−
4)
−
(+8)
+
(+1)
−
(
−
7)
b
(+7)
−
(
−
1)
−
(
−
5)
+
(+3)
+
(
−
4)
c
(
−
5)
+
(+2)
−
(
−
4)
−
(+7)
−
(
−
1)
E.8666
P erform
the
calculations
b elo w
and
giv e
the
result
in
simplified
form
:
a
−
2
3
+
−
1
3
b
+
4
5
+
+
3
5
c
−
3
7
−
+
1
14
d
+
2
3
−
−
1
3
e
−
9
4
+
−
5
3
f
+
8
3
−
+
5
6
https:/ /c hingmath.fr
chapExoCorrec/6088 sacados/6088 chapExoCorrec/8670 sacados/8670 A ( − ( − ( − ( − chapExoCorrec/8679 sacados/8679 chapExoCorrec/8687 sacados/8687 chapExoCorrec/4342 sacados/4342
chapExoCorrec/1711 sacados/1711 chapExoCorrec/8665 sacados/8665 chapExoCorrec/8686 sacados/8686 chapExoCorrec/8666 sacados/8666
4.
Reminders :
simplifie d
entries
E.4343
P erform
the
follo wing
calculations
:
a
5
−
3
+
7
+
2
−
5
−
4
b
−
2
−
3
+
4
−
8
+
5
c
3
−
8
−
10
+
4
+
7
d
11
−
24
+
12
−
11
E.1712
Rules:
to
simplify
an
expression
con taining
additions
and
subtractions
of
relativ e
n um b ers
:
Subtractions
are
turned
in to
additions
b y
c hanging
the
n um b er
follo wing
the
subtraction
in to
its
opp osite,
P aren theses
and
ˇ
+
ı
addition
signs
are
not
written
in
the
simplified
expression,
If
the
first
n um b er
of
the
op eration
is
p ositiv e,
w e
write
not
its
sign
ˇ+ı
at
the
b eginning
of
the
expression
F or
eac h
expression,
four
simplified
forms
are
prop osed,
but
only
one
is
correct.
Cop y
the
correct
simplified
form
and
calculate
the
expression
:
1
(+2)
−
(+8)
−
(
−
4)
+
(
−
3)
:
a
2
−
8
−
4
−
3
b
2
−
8
−
4
−
3
c
2
+
8
+
4
+
3
d
2
−
8
+
4
−
3
2
(
−
7)
−
(
−
3)
+
(+5)
−
(+4)
:
a
7
+
3
+
5
−
4
b
−
7
−
3
+
5
−
4
c
−
7
−
3
+
5
−
4
d
−
7
+
3
+
5
−
4
E.8667
P erform
the
calculations
b elo w
:
a
0.8
+
2.5
−
7.3
−
0.5
b
−
0.2
+
1.5
−
2.7
+
0.3
c
−
1.8
−
0.5
+
1.2
d
5.4
−
5.9
+
5.5
−
5.3
E.8668
P erform
the
calculations
b elo w
and
giv e
the
result
in
simplified
form
:
a
−
1
3
+
5
3
−
4
3
+
2
3
b
3
4
+
5
2
−
11
8
−
7
4
c
−
2
3
−
5
4
+
1
6
+
1
3
d
5
4
−
1
3
+
1
9
−
11
6
5.
Reminders :
sum
and
priority
of
op er ations
E.1175
P erform
the
follo wing
calculations
:
a
−
2
−
3
+
(
−
5
+
2)
b
2
−
(5
−
2
−
4)
+
1
c
2
−
4
−
9
+
4
+
7
d
(7
−
12)
−
(5
−
12
+
8)
E.1713
P erform
the
follo wing
calculations
:
a
2
−
7
+
5
−
4
−
9
b
2
+
3
−
(5
−
9)
c
−
2
+
9
−
(3
+
7)
d
(3
+
2)
+
3
−
(4
−
7)
−
2
E.4385
P erform
the
follo wing
calculations
:
a
5
−
4
−
3
+
2
−
1
b
15
−
3
+
5
−
7
c
15
−
(3
−
8)
d
−
(5
+
3)
+
(8
−
13)
E.8688
P erform
the
calculations
b elo w
:
a
2
−
5
+
(
−
7
+
2)
b
−
−
5+2
+
−
8+3
−
7
E.1776
P erform
the
follo wing
calculations
:
a
3
−
(5
−
8)
b
2
+
(
−
3
−
8)
−
(2
×
3
−
9)
c
−
3
−
(9
−
2
×
10)
d
5
−
4
−
(9
−
12)
E.1714
Correctly
fill
in
the
dotted
lines
with
the
missing
relativ e
n um b er :
a
(
:
:
:
)
+
2
=
−
5
b
13
−
(
:
:
:
)
=
15
c
2.1
+
(
:
:
:
)
=
1.9
d
23
+
(
:
:
:
)
=
21.5
e
(
:
:
:
)
+
9.4
−
5
=
4
f
3
+
(
:
:
:
)
−
4
+
7
=
−
3
6.
Multiplications
E.1710
1
Determine
the
v alue
of
the
pro duct
7
×
(
−
3)
knowing
that
:
7
×
(
−
3)
=
(
−
3)
+
(
−
3)
+
(
−
3)
+
(
−
3)
+
(
−
3)
+
(
−
3)
+
(
−
3)
2
Let’s
find
the
result
of
the
pro duct
(
−
7)
×
3
:
a
Complete
the
extract
from
the
m ultiplication
table
b y
7 :
17
18
19
20
21
22
23
24
×
7
140
←− − − − −
−
:
:
:
:
:
:
−− − − − − →
+
:
:
:
:
:
:
-4
-3
-2
-1
0
1
2
3
×
7
14
←− − − − −
−
:
:
:
:
:
:
−− − − − →
+
:
:
:
:
:
:
https:/ /c hingmath.fr
chapExoCorrec/4343 sacados/4343 chapExoCorrec/1712 sacados/1712
chapExoCorrec/8667 sacados/8667 chapExoCorrec/8668 sacados/8668 chapExoCorrec/1175 sacados/1175 chapExoCorrec/1713 sacados/1713 chapExoCorrec/4385 sacados/4385 chapExoCorrec/8688 sacados/8688 chapExoCorrec/1776 sacados/1776 chapExoCorrec/1714 sacados/1714 chapExoCorrec/1710 sacados/1710
b
Complete
the
follo wing
t w o
sen tences
:
The
pro duct
of
t w o
p ositiv e
n um b ers
is
a
n um b er
of
signs
.
.
.
.
.
.
.
.
.
.
.
.
The
pro duct
of
a
p ositiv e
n um b er
and
a
negativ e
n um b er
is
a
n um b er
of
signs
.
.
.
.
.
.
.
.
.
.
.
.
3
P erform
the
follo wing
calculations
:
a
3
×
7
b
10
×
(
−
4)
c
(
−
5)
×
7
d
7
×
9
e
3
×
(
−
8)
f
(
−
4)
×
9
4
a
Complete
the
table
b elo w,
starting
with
the
op era- tion
3
×
(
−
7)
:
-3
-2
−
1
0
1
2
3
4
×
(
−
7)
←− − − −
......
−− − − →
......
b
Complete
the
follo wing
sen tences
:
The
pro duct
of
t w o
negativ e
n um b ers
is
a
n um b er
of
signs
.
.
.
.
.
.
.
.
.
.
.
.
5
P erform
the
follo wing
calculations
:
a
5
×
(
−
4)
b
(
−
3)
×
12
c
(
−
4)
×
(
−
8)
d
9
×
5
e
31
×
(
−
3)
f
(
−
21)
×
(
−
2)
E.1724
Rule
for
m ultiplying
relativ e
n um b ers :
The
pro duct
of
t w o
relativ e
n um b ers
:
is
of
sign
:
positiv e :
if
b oth
factors
are
of
the
same
sign,
negative :
if
the
t w o
factors
are
of
opp osite
signs.
’s
distance
to
zero
is
the
pro duct
of
the
distances
to
zero
of
the
t w o
factors
P erform
the
follo wing
m ultiplications :
a
(
−
2)
×
3
b
−
4
×
(
−
3)
c
(+2.5)
×
(
−
5)
d
(
−
2.4)
×
(
−
1.5)
E.1024
Cop y
and
complete
this
double
en try
table
:
×
−
5
+2
−
1.4
3
−
5
+20
E.8669
P erform
the
calculations
b elo w,
giv- ing
the
results
in
simplified
forms
:
a
5
4
×
−
6
7
b
−
36
7
×
−
21
8
c
1
3
×
5
7
d
−
7
9
×
3
14
7.
Multiplications
of
sever al
factors
E.1023
Proposal :
To
determine
the
sign
of
a
pro duct
of
sev eral
relativ e
n um b ers,
use
the
follo wing
rule
:
If
the
n um b er
of
negativ e
factors
is
ev en,
then
the
pro d- uct
is
p ositiv e.
If
the
n um b er
of
negativ e
factors
is
o dd,
then
the
pro d- uct
is
negativ e.
Giv e
the
sign
of
eac h
of
the
follo wing
calculations
:
a
(
−
1)
×
(
−
1)
×
(
−
1)
b
(
−
1)
×
(
−
1)
×
(
−
1)
×
(
−
1)
c
(
−
1)
×
(
−
1)
×
(+1)
×
(
−
1)
d
(+1)
×
(
−
1)
×
(+1)
×
(+1)
×
(
−
1)
×
(
−
1)
×
(+1)
×
(
−
1)
×
(
−
1)
×
(+1)
×
(+1)
×
(
−
1)
E.1729
Determine
the
sign
of
the
follo wing
expressions
:
a
(
−
1)
×
(+1)
×
(
−
1)
×
(
−
1)
×
(+1)
b
(
−
2)
×
(
−
4)
×
(
−
4)
×
2
×
(
−
0.5)
c
(
−
3)
×
(
−
2)
+
(+5)
×
(
−
2)
d
(
−
1)
×
(
−
2)
×
(5)
×
(+2)
×
(
−
3)
E.1739
P erform
the
follo wing
m ultiplica- tions
:
a
−
3
×
(
−
2)
×
5
×
(
−
3)
b
5
×
(
−
1)
×
(+10)
×
(
−
0.1)
c
2
×
(
−
8)
×
0.5
×
(
−
3)
d
(
−
4)
×
5
×
2
×
0.25
E.1025
By
c ho osing
the
factors
clev erly ,
p er- form
the
follo wing
calculations
:
a
(+4)
×
(
−
0.1)
×
10
×
(
−
1)
×
0.25
b
−
5
×
0.1
×
(
−
4)
×
(
−
5)
×
4
×
(
−
2)
×
3
https:/ /c hingmath.fr
chapExoCorrec/1724 sacados/1724
chapExoCorrec/1024 sacados/1024 chapExoCorrec/8669 sacados/8669 chapExoCorrec/1023 sacados/1023
chapExoCorrec/1729 sacados/1729 chapExoCorrec/1739 sacados/1739 chapExoCorrec/1025 sacados/1025
q b 6 a
E.4387
Sa y
whether
the
statemen ts
b elo w
are
true
or
false
:
1
The
sum
of
t w o
relativ e
in tegers
is
p ositiv e.
2
The
sum
of
102
negative
n um b ers
is
negativ e.
3
The
pro duct
of
102
negative
n um b ers
is
negativ e.
4
The
opp osite
of
a
pro duct
is
the
pro duct
of
the
opp osite
of
its
factors.
8.
Multiplication
and
sums
E.8672
P erform
the
calculations
b elo w
:
a
(
−
2)
×
(+4)
×
(
−
5)
b
(
−
10)
×
(+1)
×
(
−
2)
×
(
−
5)
c
−
5
+
2
×
(
−
3)
d
2
−
2
×
(
−
2)
E.1013
P erform
the
calculations
b elo w
:
a
−
3
+
5
×
(
−
2)
b
(
−
6)
×
(
−
2)
−
5
c
−
2
+
5
−
4
×
2
d
4
×
(
−
5)
−
5
E.8673
A
−
5
+
3
×
(
−
2)
b
−
4
×
(
−
5)
+
2
c
−
3
+
(
−
2)
×
5
d
14
−
5
×
(
−
2)
e
3
−
2
×
5
f
−
2
×
3
−
3
E.1027
In
eac h
of
the
calculations
b elo w,
a
n um b er
has
b een
hidden.
Kno wing
the
sign
of
the
result,
is
it
p ossible
to
find
the
sign
of
the
hidden
n um b er?
If
so,
indicate
the
sign
of
this
n um b er.
a
(
−
5)
×♣×
(+0.02)
est
p ositif
b
−
(+9)
×♠×
(
−
1.5)
is
negativ e
c
(
−
9)
+
is
p ositiv e
d
(
−
3)
−
2
is
négatif
e
(
−
3)
+
3
×
(
−
2)
2
×
est
négatif
E.1019
F or
eac h
expression,
a
n um b er
has
b een
hidden
;
only
its
sign
has
b een
displa y ed.
If
p ossible,
giv e
the
sign
of
the
result
of
eac h
expression
:
a
(
−
3)
×
(
−
5)
×
(+
)
b
−
(
−
)
×
(+1.8)
×
(
−
0.1)
c
(+5)
+
(+
)
d
(+3.2)
+
(
−
)
e
(
−
3)
×
(+
)+(+7)
×
(
−
)
f
8
+
(
+
1)
×
(
+
1)
E.1774
Some
of
the
n um b ers
in
the
equa- tions
b elo w
ha v e
b een
hidden.
Cop y
the
follo wing
equalities,
completing
them
with
the
correct
n um b er :
a
(
−
2)
×
=
36
b
(
−
7)
×
×
(
−
0.5)
=
−
14
c
×
2
+
3
=
−
19
d
×
2
−
7
×
(
−
2)
=
−
2
E.1014
Complete,
line
b y
line,
the
table
b elo w
using
the
v alues
of
a
,
b
and
c
given
:
a
b
c
a
×
b
a
×
c
a
×
b
−
a
×
c
b
+
c
a
×
(
b
+
c
)
3
−
2
5
4
1.25
−
2.5
−
3
−
2
4
1.2
4
6
E.1015
Complete
the
table
b elo w
ro w
b y
ro w
using,
in
eac h
case,
the
v alues
of
a
and
b
given
:
a
b
a
+
b
a
−
b
(
a
+
b
)
×
(
a
−
b
)
3
−
2
−
5
−
7
−
3
−
2
−
1.5
2.5
9.
Conducting
c alculations
E.8802
Method
:
To
correctly
pro cess
priorit y
op era- tions
one
after
the
other,
prop er
ˇ
calculation
ı
is
necessary .
W atc h
the
animation
opp osite
:
Perform
the
follo wing
calculations,
detailing
the
steps
in
y our
reasoning
:
a
5
−
2
×
3
−
5
b
2
−
3
×
5
−
4
×
2)
c
2
−
2
×
2
×
4
−
7
d
−
4
×
2
×
(
−
2)
−
3
×
(
−
4)
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chapExoCorrec/4387 sacados/4387 chapExoCorrec/8672 sacados/8672 chapExoCorrec/1013 sacados/1013 chapExoCorrec/8673 sacados/8673 chapExoCorrec/1027 sacados/1027 chapExoCorrec/1019 sacados/1019 chapExoCorrec/1774 sacados/1774 chapExoCorrec/1014 sacados/1014 chapExoCorrec/1015 sacados/1015 chapExoCorrec/8802 sacados/8802 q b 6 a
× ÷ − 1 -3 -2 -2 9 -3 2 ? − × -2
E.1723
P erform
the
follo wing
calculations
:
a
(9
−
13)
×
(
−
2)
b
(7
−
12)
×
(
−
8
+
4)
c
−
(2
−
2
×
4)
+
4
d
5
−
(
−
2
−
3)
e
(
−
3
+
5)
×
(
−
5
−
7)
f
5
−
2
×
(
−
3
+
5)
Indications
:
we
will
indicate
the
cal- culation
steps
resp ecting
the
priorities
of
the
op erations
as
in
the
example
op- p osite
:
E.1740
P erform
the
follo wing
calculations
:
a
−
3
−
(
−
7
+
5)
×
(
−
0.5)
b
−
2
+
3
×
(5
−
3
×
5)
c
(2
−
3)
4
+
(
−
2)
(
−
3
−
4)
d
−
3
×
2
−
(
−
2)
×
(
−
4)
e
−
2
−
3
×
(
−
3)
×
(
−
2)
+
5
E.1026
P erform
the
follo wing
calculations
:
a
30
−
2
+
(
−
4)
×
3
b
(
−
2)
×
5
−
(
−
3)
×
(
−
2)
c
(50
−
62)
×
(5
−
4)
d
2
×
(
−
4)
−
5
×
3
×
2
−
10
×
2.5
Hint :
calculations
will
b e
conducted
with
w ording
similar
to
:
E.1028
P erform
the
follo wing
calculations
:
a
(
−
3)
×
3
−
(+5)
b
4
−
5
×
(
−
2)
+
(
−
2)
c
−
4
×
3
+
(
−
4)
×
−
2
−
(
−
3)
E.8689
P erform
the
calculations
b elo w
:
a
3
−
2
×
2
+
3
×
(
−
2)
b
2
×
3
−
8
−
8
−
8
×
2
E.8671
P erform
the
follo wing
calculations
:
a
3
+
(
−
5)
×
2
×
(
−
1)
b
4.1
−
2
×
(
−
1.2)
×
6.8
−
7.1
c
(5
−
2
×
3)
−
2
×
7
−
4
×
(2
×
3
−
8)
E.4386
P erform
the
follo wing
calculations
:
a
15
−
8
+
3
×
(
−
2)
b
(8
−
15)
×
−
12
−
(
−
2)
×
5
c
(5
−
8)
×
−
12
−
5
×
(
−
3)
×
5
−
2
×
2
×
(
−
6)
+
10
E.1778
On
eac h
of
the
expressions
b elo w,
the
paren theses
ha v e
b een
deleted
;
add,
if
necessary ,
the
paren- theses
and
brac k ets
necessary
to
v erify
the
prop osed
equali- ties
:
a
3
−
2
−
3
×
2
−
4
=
4
b
3
−
2
−
3
×
2
−
4
=
−
3
c
3
−
2
−
3
×
2
−
4
=
−
1
d
3
−
2
−
3
×
2
−
4
=
−
9
E.6139
Calculations
ha v e
b een
made
but
the
brac k ets
and
braces
ha v e
b een
remo v ed.
Cop y
the
calcu- lations
on
y our
cop y ,
adding,
if
necessary ,
the
correctly
placed
brac k ets
and
braces
:
a
2
−
3
+
2
×
2
=
−
8
b
2
−
3
+
2
×
2
=
3
10.
Quotients
E.1747
Rule:
The
sign
of
a
quotien t
is
:
positiv e
if
n umerator
and
denominator
are
of
the
same
sign
negative
if
n umerator
and
denominator
ha v e
opp osite
signs.
Giv e
the
sign
of
eac h
of
the
follo wing
calculations
:
a
(
−
3)
÷
(
−
2)
b
2
÷
(
−
1)
c
(
−
3)
÷
5
d
−
5
−
8
e
−
3
5
f
5
−
7
E.4344
W rite
the
fractions
b elo w
in
their
simplified
forms
:
a
−
6
2
b
15
6
c
−
4
−
16
d
21
−
14
e
−
3
5
f
−
150
−
100
E.4463
P erform
the
follo wing
calculations
:
a
−
13
−
8
b
6
×
(
−
3)
c
5
−
13
d
−
2
×
(
−
5)
e
−
−
24
8
f
12
−
3
E.6138
Here
is
a
calculation
diagram :
Without
justification,
giv e
the
v alue
of
the
n um b er
that
m ust
b e
presen t
in
the
b o x
with
the
sign
ˇ
?
ı
in
order
for
all
calcu- lations
to
b e
correct.
11.
Quotients
and
op er ations
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chapExoCorrec/1723 sacados/1723 chapExoCorrec/1740 sacados/1740 chapExoCorrec/1026 sacados/1026 chapExoCorrec/1028 sacados/1028 chapExoCorrec/8689 sacados/8689 chapExoCorrec/8671 sacados/8671 chapExoCorrec/4386 sacados/4386 chapExoCorrec/1778 sacados/1778 chapExoCorrec/6139 sacados/6139 chapExoCorrec/1747 sacados/1747
chapExoCorrec/4344 sacados/4344 chapExoCorrec/4463 sacados/4463 chapExoCorrec/6138 sacados/6138 × ÷ − 1 -3 -2 -2 9 -3 2 ? − × -2
E.4345
Calculate
the
expressions
b elo w
and
write
their
v alues
as
decimals
:
a
7
+
15
−
3
b
3
−
8
−
2
−
(
−
22)
c
5
−
7
−
8
+
3
E.4464
P erform
the
follo wing
calculations
:
a
2
×
(
−
5)
−
4
3
−
5
b
7
−
5
4
×
7
−
30
E.8674
P erform
the
follo wing
calculations
:
a
(3
×
2
−
5)
÷
(2
−
2
×
2)
b
−
3
×
(
−
2)
+
4
5
−
3
×
2
Note:
calculations
will
b e
conducted
with
w ord- ing
similar
to
:
E.8676
P erform
the
follo wing
calculations
and
giv e
the
results
in
simplified
form
:
a
5
×
2
−
7
5
−
8
b
3
×
(
−
2)
+
4
3
−
3
×
3
c
5
−
2
×
3
5
×
6
d
5
−
36
÷
6
60
−
8
×
7
E.4383
P erform
the
follo wing
calculations
and
giv e
the
results
in
simplified
form
:
a
2
−
5
−
3
×
(2
−
4)
2
−
15
÷
5
b
12
×
3
−
6
×
6
3
−
2
−
(2
×
5
−
12)
Indication
:
calcula-tions
will
b e
conducted
with
w ording
similar
to
:
12.
Squares
of
r elative
numb ers
E.1017
Definition:
le
The
square
of
a
n um b er
is
that
n um b er
m ultiplied
b y
itself.
The
square
of
the
n um b er
x
is
written
as
x
2
.
Example:
3
2
=3
×
3= 9
(
−
2)
2
=(
−
2)
×
(
−
2)= 4
Note:
the
expression
−
5
2
is
the
opp osite
of
the
square
of
5
and
equals
−
25
.
Example:
−
3
2
=
−
9
;
(
−
3)
2
=9
Perform
the
follo wing
calculations
:
a
3
2
b
(
−
3)
2
c
−
3
2
d
5
2
e
(
−
5)
2
f
−
5
2
E.8675
A
2
×
9
2
b
−
2
×
4
2
c
(
−
2
×
4)
2
d
−
(
−
2)
2
e
2
2
−
5
2
E.1029
P erform
the
follo wing
calculations
:
a
−
5
2
b
2
×
(
−
4)
2
c
3
×
(
−
2)
2
d
−
3
×
(
−
2)
2
e
2
−
3
2
f
−
(2
−
3)
2
E.1018
P erform
the
follo wing
calculations
:
A
2
×
6
2
b
−
2
×
3
2
c
(
−
3
×
5)
2
d
−
(
−
9)
2
e
7
2
−
2
2
E.1741
P erform
the
follo wing
calculations
:
a
(
−
3)
2
×
2
−
13
b
(2
×
3
−
7)
2
+
2
2
c
−
3
2
×
(3
−
2
×
5)
d
5
2
−
9
2
e
(2
−
3)
2
−
(
−
3)
2
f
2
×
5
−
3
2
2
Note:
calculations
will
b e
con- ducted
with
w ording
similar
to
:
E.8690
P erform
the
calculations
b elo w
:
a
12
−
2
×
3
2
2
b
1
+
3
2
2
−
9
2
E.1777
P erform
the
follo wing
calculations
:
a
(
−
8
+
2
×
3)
2
b
(3
−
6)
2
×
(
−
2)
c
−
2
−
(
−
3)
2
2
d
(5
−
9)
2
−
3
2
2
13.
Literal
expr essions
and
r elative
numb ers
E.1730
Consider
the
follo wing
equalit y :
3
x
−
7= 2
x
−
11
Test
the
previous
equalit y
using
the
follo wing
v alues
:
a
x
=
−
1
b
x
=3
c
x
=
−
4
E.1775
Consider
the
follo wing
t w o
algebraic
expressions
:
A
=
−
3
x
+
1
;
B
=
−
x
2
−
5
x
+
4
Evaluate
eac h
of
these
expressions
for
the
v alues
:
x
=
1
;
x
=
−
3
;
x
=
0
https:/ /c hingmath.fr
chapExoCorrec/4345 sacados/4345 chapExoCorrec/4464 sacados/4464 chapExoCorrec/8674 sacados/8674 chapExoCorrec/8676 sacados/8676 chapExoCorrec/4383 sacados/4383 chapExoCorrec/1017 sacados/1017
chapExoCorrec/8675 sacados/8675 chapExoCorrec/1029 sacados/1029 chapExoCorrec/1018 sacados/1018 chapExoCorrec/1741 sacados/1741 chapExoCorrec/8690 sacados/8690 chapExoCorrec/1777 sacados/1777 chapExoCorrec/1730 sacados/1730 chapExoCorrec/1775 sacados/1775
f x 1 2 A B C D E F -3 -2 -1 0 1 2 -13 A 2 × A 1 − 4
1 2 A B C D E F x − 5 − 1 0 1 3 x 2 × x 2 12 20 Etape 1 Etape 2 x Créer une variable quand est cliqué demander valeur de x ? et attendre mettre x à réponse mettre Etape 1 à x + 4 mettre Etape 2 à 2 * x - 3 dire regroupe Le résultat est Etape 1 * Etape 2
E.8678
Consider
the
expression
:
C
=
−
(3
−
x
)
2
+2
x
+1
Evaluate
this
expression
for
the
v alues
:
a
x
=
5
b
x
=
−
2
E.1020
W e
consider
the
t w o
literal
expres- sions
:
A
=
2
x
2
+
3
x
−
10
;
B
=
−
x
2
+
4
x
+
42
1
Pro v e
the
equalit y
of
these
t w o
expressions
for
x
=
−
4
.
2
T est
the
equalit y
of
these
t w o
expressions
for
x
=2
.
E.1030
Consider
the
follo wing
literal
expres- sions
:
A
=
−
x
2
+
4
x
−
5
;
B
=
(12
−
x
)
2
+
5
C
=
(2
x
−
9)(3
−
x
)
1
Ev aluate
the
literal
expression
A
for
x
=6
.
2
What
is
the
v alue
of
the
literal
expression
B
for
x
=15
?
3
Ev aluate
the
literal
expression
C
for
x
=3
.
E.8677
Ev aluate
the
expression
C
=
−
(2+
x
)
2
+2
x
+1
for
the
v alues
:
a
x
=
5
b
x
=
−
2
E.1022
W e
consider
the
t w o
literal
expres- sions
:
A
=
−
2
x
2
+
2
;
B
=
(2
x
2
−
2)(2
x
+
3)
1
Pro v e
the
equalit y
of
A
and
B
for
x
=
−
2
.
2
T est
this
equalit y
for
x
=2
.
14.
Calculation
she et
and
c alculation
pr o gr am
E.8684
The
follo wing
spreadsheet
is
used
:
After
en tering
the
form ula
ˇ
3
×
A1-4
ı
in
cell
A2
,
extend
this
form ula
to
the
righ t.
Complete
the
table
to
sho w
the
results.
E.8681
The
follo wing
calculation
pro- gram
is
giv en
:
Choose
a
n um b er
A dd
1
Square
the
result
Subtract
the
square
of
the
starting
n um b er
from
the
re- sult.
1
Sho w
that
when
w e
c ho ose
the
n um b er
2
at
the
start,
w e
get
the
n um b er
5
at
the
end.
2
What
result
do
w e
get
when
w e
c ho ose
the
n um b er
−
3
at
the
start?
E.8680
W e
consider
the
calculation
program
:
Choose
a
n um b er
T ak e
the
square
of
this
n um b er
A dd
triple
the
starting
n um b er
A dd
2
1
Sho w
that
if
w e
c ho ose
1
as
the
starting
n um b er,
the
program
giv es
6
as
the
result.
2
What
result
do
w e
get
if
w e
c ho ose
−
5
as
the
starting
n um b er?
3
W e
call
x
the
starting
n um b er,
express
the
result
of
the
program
in
terms
of
x
.
4
Consider
the
w orksheet
b elo w
:
a
Complete
the
w orksheet.
b
Whic h
form ula
w as
written
in
cell
B2
before
extending
it
to
cell
J2
?
E.8685
Laura
created
three
v ariables
and
then
made
the
script
b elo w
:
1
Chec k
that
if
the
v alue
of
x
is
5
then
the
result
is
63
.
2
What
result
do
w e
get
if
the
v alue
of
x
is
−
3
?
3
Of
the
follo wing
expressions,
cop y
the
one
that
matc hes
the
calculation
program
giv en
b y
the
script.
x
+
4
×
2
x
−
3
x
+
4
×
2
x
−
3
x
+
4
×
2
x
−
3
15.
Share
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chapExoCorrec/8678 sacados/8678 chapExoCorrec/1020 sacados/1020 chapExoCorrec/1030 sacados/1030 chapExoCorrec/8677 sacados/8677 chapExoCorrec/1022 sacados/1022 chapExoCorrec/8684 sacados/8684 f x 1 2 A B C D E F -3 -2 -1 0 1 2 -13 A 2 × A 1 − 4 chapExoCorrec/8681 sacados/8681
chapExoCorrec/8680 sacados/8680
1 2 A B C D E F x − 5 − 1 0 1 3 x 2 × x 2 12 20 chapExoCorrec/8685 sacados/8685 Etape 1 Etape 2 x Créer une variable quand est cliqué demander valeur de x ? et attendre mettre x à réponse mettre Etape 1 à x + 4 mettre Etape 2 à 2 * x - 3 dire regroupe Le résultat est Etape 1 * Etape 2
E.8729
Calculate
the
follo wing
expressions
b y
detailing
the
steps
:
a
9
−
15
+
2
−
7
b
4
×
(
−
2)
×
(
−
3)
c
−
8
+
2
×
(
−
2)
d
5
−
7
−
3
+
5
e
5
+
3
×
7
−
3
×
5
E.8730
Calculate
the
follo wing
expressions
b y
detailing
the
steps
:
a
8
−
10
+
4
−
11
b
3
×
(
−
3)
×
(
−
2)
c
8
+
(
−
4)
×
(
−
2)
d
4
−
7
−
3
+
5
e
5
+
2
×
5
−
4
×
5
E.8776
P erform
the
calculations
:
a
5
−
2
×
5
b
(
−
3)
×
2
+
(
−
2)
×
(
−
5)
c
2
−
1
−
3
×
(3
−
5)
E.8788
P erform
the
follo wing
calculations,
de- tailing
the
steps
:
a
−
4
×
3
−
3
×
(
−
2)
b
−
2
×
5
−
2
×
3
−
3
16.
Unclassified
exer cises
E.2086
Compare
the
follo wing
fractions
:
a
3
7
:
:
:
3
8
b
−
9
4
:
:
:
−
11
4
c
6
7
:
:
:
13
12
d
2
6
:
:
:
2
4
e
3
7
:
:
:
2
5
f
7
3
:
:
:
9
4
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