EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Fundamental Concepts of Algebra
Grade : ICSE Grade VI
License : Non Commercial Use
Question
1
1.
The value of the polynomial
w
2
at
u
=
4
,
v
=
(-2)
,
w
=
3
is
(i)
9
(ii)
6
(iii)
12
(iv)
10
(v)
8
Question
2
2.
Given
f
(
x
)
=
(
2
x
2
−
7
x
−
9
)
,
find
f
(
(-3)
)
(i)
30
(ii)
28
(iii)
31
(iv)
33
(v)
29
Question
3
3.
The value of the polynomial
(
7
c
d
+
2
c
e
2
−
3
d
)
at
c
=
(-4)
,
d
=
5
,
e
=
5
is
(i)
-357
(ii)
-356
(iii)
-354
(iv)
-355
(v)
-353
Question
4
4.
The expanded form of
(
1
2
p
q
+
1
4
q
)
3
is
(i)
(
1
2
p
q
+
1
4
q
)
✕
(
1
2
p
q
+
1
4
q
)
✕
(
1
2
p
q
+
1
4
q
)
✕
(
1
2
p
q
+
1
4
q
)
✕
(
1
2
p
q
+
1
4
q
)
(ii)
(
1
2
p
q
+
1
4
q
)
✕
(
1
2
p
q
+
1
4
q
)
✕
(
1
2
p
q
+
1
4
q
)
(iii)
(
1
2
p
q
+
1
4
q
)
✕
(
1
2
p
q
+
1
4
q
)
(iv)
(
1
2
p
q
+
1
4
q
)
(v)
(
1
2
p
q
+
1
4
q
)
✕
(
1
2
p
q
+
1
4
q
)
✕
(
1
2
p
q
+
1
4
q
)
✕
(
1
2
p
q
+
1
4
q
)
Question
5
5.
The degree of the polynomial
(
4
x
−
5
)
is
(i)
0
(ii)
1
(iii)
2
(iv)
(-2)
(v)
4
Question
6
6.
Which of the following is an irreducible factor of
46
x
2
y
z
?
(i)
y
z
(ii)
x
z
(iii)
x
2
y
z
(iv)
x
(v)
x
2
y
Question
7
7.
The degree of polynomial
(
−
4
e
3
f
3
g
−
7
e
3
g
2
−
7
e
2
f
3
g
3
+
7
e
2
f
g
−
8
e
2
g
+
e
f
3
g
3
−
e
f
3
)
is
(i)
7
(ii)
6
(iii)
8
(iv)
11
(v)
9
Question
8
8.
The expanded form of
(
2
5
s
)
3
is
(i)
2
5
s
✕
2
5
s
✕
2
5
s
✕
2
5
s
(ii)
2
5
s
✕
2
5
s
(iii)
2
5
s
(iv)
2
5
s
✕
2
5
s
✕
2
5
s
(v)
2
5
s
✕
2
5
s
✕
2
5
s
✕
2
5
s
✕
2
5
s
Question
9
9.
The coefficient of term
w
x
2
in polynomial
(
9
v
2
w
2
x
2
−
2
v
2
w
x
−
2
v
2
−
w
x
2
−
9
x
2
)
is
(i)
-3
(ii)
2
(iii)
-1
(iv)
0
(v)
-2
Question
10
10.
Which of the following terms is a like term of
4
i
4
?
(i)
(
−
i
3
)
(ii)
(
−
6
i
)
(iii)
7
i
2
(iv)
(
−
1
)
(v)
9
i
4
Question
11
11.
Which of the following is a like term of
2
j
?
(i)
1
(ii)
(
−
6
j
)
(iii)
5
l
2
(iv)
(
−
3
j
k
2
l
2
)
(v)
7
k
2
l
2
Question
12
12.
The expanded form of
(
−
t
u
)
3
is
(i)
(
−
t
u
)
✕
(
−
t
u
)
(ii)
(
−
t
u
)
✕
(
−
t
u
)
✕
(
−
t
u
)
✕
(
−
t
u
)
(iii)
(
−
t
u
)
✕
(
−
t
u
)
✕
(
−
t
u
)
(iv)
(
−
t
u
)
✕
(
−
t
u
)
✕
(
−
t
u
)
✕
(
−
t
u
)
✕
(
−
t
u
)
(v)
(
−
t
u
)
Question
13
13.
Which of the following algebraic expressions is a constant polynomial?
(i)
(
−
2
g
3
h
3
i
3
−
7
g
3
h
2
i
3
+
4
g
h
3
i
+
6
g
h
3
)
(ii)
(
−
2
g
2
h
3
i
2
+
5
h
3
i
)
(iii)
3
(iv)
(
−
6
g
3
h
3
i
2
)
(v)
(
−
g
3
i
3
−
3
g
h
2
i
−
2
i
3
)
Question
14
14.
n
✕
n
=
(i)
n
2
(ii)
−
2
n
2
(iii)
4
n
2
(iv)
n
3
(v)
n
Question
15
15.
The value of the polynomial
(
9
s
+
2
)
at
s
=
1
is
(i)
8
(ii)
13
(iii)
12
(iv)
10
(v)
11
Question
16
16.
Which of the following is a like term of
4
p
q
2
?
(i)
(
−
4
q
)
(ii)
3
q
2
(iii)
(
−
3
p
q
2
)
(iv)
(
−
2
p
2
q
)
(v)
(
−
9
p
)
Question
17
17.
Which of the following algebraic expressions is a constant polynomial?
(i)
(
5
t
4
+
3
t
3
+
9
t
2
−
8
t
−
6
)
(ii)
(
6
t
4
−
9
)
(iii)
8
(iv)
(
−
3
t
2
)
(v)
(
7
t
4
+
5
t
3
+
5
t
)
Question
18
18.
The degree of the polynomial
(
7
w
5
+
3
w
4
+
7
w
3
−
7
w
2
+
4
)
is
(i)
5
(ii)
7
(iii)
4
(iv)
3
(v)
6
Question
19
19.
The degree of polynomial
(
8
d
2
e
2
−
5
d
2
e
+
9
e
−
5
)
is
(i)
5
(ii)
3
(iii)
6
(iv)
4
(v)
1
Question
20
20.
Which of the following terms is a like term of
(
−
7
w
3
)
?
(i)
(
−
8
w
4
)
(ii)
(
−
6
w
3
)
(iii)
(
−
7
w
2
)
(iv)
(
−
7
w
)
(v)
(
−
4
)
Question
21
21.
Which of the following are not polynomials?
a)
x
+
1
x
b)
(
12
x
2
−
106
x
y
−
18
y
2
)
c)
x
2
d)
(
12
x
+
2
y
)
(
x
−
9
y
)
e)
(
12
x
+
2
y
)
(i)
{e,b,a}
(ii)
{a,d}
(iii)
{c,d,a}
(iv)
{c,d}
(v)
{b,a}
Question
22
22.
The value of the polynomial
(
−
7
w
x
y
+
8
w
x
)
at
w
=
(-2)
,
x
=
2
,
y
=
5
is
(i)
106
(ii)
107
(iii)
109
(iv)
110
(v)
108
Question
23
23.
The value of the polynomial
(
−
9
q
r
+
7
r
s
+
9
r
)
at
q
=
1
,
r
=
(-3)
,
s
=
3
is
(i)
-64
(ii)
-63
(iii)
-62
(iv)
-60
(v)
-65
Question
24
24.
The value of the polynomial
5
at
u
=
(-2)
,
v
=
(-5)
,
w
=
(-4)
is
(i)
7
(ii)
5
(iii)
6
(iv)
3
(v)
4
Question
25
25.
Which of the following is a like term of
(
−
8
r
2
s
q
2
)
?
(i)
7
q
2
r
2
s
2
(ii)
(
−
8
q
2
r
2
s
)
(iii)
(
−
6
q
r
2
s
2
)
(iv)
6
q
2
r
s
2
(v)
q
r
s
Assignment Key
1) (i)
2) (i)
3) (iv)
4) (ii)
5) (ii)
6) (iv)
7) (iii)
8) (iv)
9) (iii)
10) (v)
11) (ii)
12) (iii)
13) (iii)
14) (i)
15) (v)
16) (iii)
17) (iii)
18) (i)
19) (iv)
20) (ii)
21) (ii)
22) (v)
23) (ii)
24) (ii)
25) (ii)