EduSahara™ Assignment
Name : Algebraic Expression Concepts
Chapter : Algebraic Expressions
Grade : ICSE Grade VII
License : Non Commercial Use
Question
1
1.
The degree of polynomial
(
15
j
k
+
4
j
+
7
k
+
18
)
is
(i)
1
(ii)
3
(iii)
4
(iv)
(-1)
(v)
2
Question
2
2.
The degree of polynomial
(
10
s
2
t
2
−
3
s
2
−
4
s
t
2
−
3
s
)
is
(i)
7
(ii)
5
(iii)
1
(iv)
4
(v)
3
Question
3
3.
The degree of polynomial
(
−
8
h
2
i
2
j
2
−
5
h
2
i
2
+
6
h
+
7
j
+
9
)
is
(i)
3
(ii)
5
(iii)
6
(iv)
8
(v)
7
Question
4
4.
The degree of polynomial
(
8
k
3
m
2
+
8
k
3
m
+
8
k
2
l
3
−
3
k
2
l
2
m
3
+
3
k
2
m
3
−
4
k
l
2
m
3
+
6
l
2
m
3
)
is
(i)
6
(ii)
5
(iii)
8
(iv)
10
(v)
7
Question
5
5.
The coefficient of term
i
j
in polynomial
(
2
i
j
+
i
−
j
−
3
)
is
(i)
3
(ii)
-1
(iii)
1
(iv)
5
(v)
2
Question
6
6.
The coefficient of term
x
y
in polynomial
(
8
x
2
y
2
+
x
2
−
2
x
y
+
9
)
is
(i)
-5
(ii)
1
(iii)
-3
(iv)
-1
(v)
-2
Question
7
7.
The coefficient of term
s
t
u
2
in polynomial
(
6
s
2
+
9
s
t
2
−
4
s
t
u
2
−
5
s
t
−
6
t
2
u
)
is
(i)
-3
(ii)
-4
(iii)
-7
(iv)
-2
(v)
-5
Question
8
8.
The coefficient of term
n
2
o
in polynomial
(
−
4
m
3
n
o
3
−
8
m
3
o
+
3
m
n
3
o
3
−
9
m
n
3
+
8
n
3
+
3
n
2
o
−
3
o
3
)
is
(i)
6
(ii)
0
(iii)
4
(iv)
2
(v)
3
Question
9
9.
Which of the following algebraic expressions is a monomial?
(i)
(
−
7
e
f
−
5
g
2
)
(ii)
(
4
e
2
g
3
+
3
e
f
g
−
5
f
2
g
2
−
6
f
2
)
(iii)
7
e
f
2
g
2
(iv)
(
−
7
e
3
f
2
g
3
−
5
e
3
f
+
e
2
f
g
−
7
f
2
g
)
(v)
(
2
e
3
f
2
g
+
5
e
3
+
g
2
)
Question
10
10.
Which of the following algebraic expressions is a binomial?
(i)
3
q
2
r
3
s
2
(ii)
(
−
5
q
3
r
2
s
−
7
q
3
r
s
)
(iii)
(
2
q
2
s
3
−
2
q
r
2
+
9
q
r
s
3
)
(iv)
(
2
q
2
r
3
s
−
5
q
2
r
2
+
3
q
2
r
s
+
6
r
s
3
)
(v)
(
−
5
q
3
r
2
+
2
q
3
r
+
3
q
2
−
9
r
3
)
Question
11
11.
Which of the following algebraic expressions is a trinomial?
(i)
(
6
n
2
o
2
p
2
+
7
n
2
o
p
3
)
(ii)
(
−
4
n
3
o
2
p
−
n
2
o
2
p
3
−
2
n
o
2
p
3
+
4
o
2
p
)
(iii)
4
n
o
p
(iv)
(
−
2
n
3
o
p
3
+
6
n
o
2
p
−
5
o
p
)
(v)
(
−
2
n
3
o
2
−
8
n
2
o
3
p
2
−
3
n
o
3
p
3
−
8
o
)
Question
12
12.
Which of the following algebraic expressions is a constant polynomial?
(i)
(
−
6
)
(ii)
6
b
c
d
3
(iii)
(
6
b
c
3
d
2
−
7
b
c
d
3
)
(iv)
(
6
b
3
c
3
+
8
b
3
d
−
4
b
2
d
+
c
3
)
(v)
(
4
b
3
d
3
+
2
b
c
2
d
3
−
7
b
d
2
)
Question
13
13.
Which of the following algebraic expressions is a zero polynomial?
(i)
(
−
4
j
l
3
−
9
l
2
)
(ii)
(
−
3
j
3
l
+
7
j
2
k
+
3
j
k
l
−
6
j
l
3
)
(iii)
6
j
2
k
l
3
(iv)
0
(v)
(
3
j
2
k
−
9
j
k
3
+
7
l
2
)
Question
14
14.
The degree of the polynomial
(
e
−
3
)
is
(i)
0
(ii)
3
(iii)
1
(iv)
2
(v)
(-2)
Question
15
15.
The degree of the polynomial
(
−
4
f
2
−
9
f
+
8
)
is
(i)
4
(ii)
1
(iii)
2
(iv)
3
(v)
0
Question
16
16.
The degree of the polynomial
(
e
3
−
6
e
2
+
5
)
is
(i)
0
(ii)
3
(iii)
6
(iv)
2
(v)
4
Question
17
17.
The degree of the polynomial
(
−
8
n
5
+
n
4
+
7
n
2
+
4
n
−
8
)
is
(i)
5
(ii)
4
(iii)
8
(iv)
6
(v)
3
Question
18
18.
The coefficient of term
u
in polynomial
(
−
5
u
+
7
)
is
(i)
-3
(ii)
-4
(iii)
-5
(iv)
-6
(v)
-7
Question
19
19.
The coefficient of term
u
in polynomial
(
−
8
u
2
−
4
u
−
7
)
is
(i)
-2
(ii)
-6
(iii)
-5
(iv)
-4
(v)
-3
Question
20
20.
The constant term in polynomial
(
−
3
k
3
+
2
k
2
−
5
k
+
5
)
is
(i)
6
(ii)
4
(iii)
3
(iv)
8
(v)
5
Question
21
21.
The coefficient of term
k
2
in polynomial
(
−
6
k
4
+
2
k
3
−
5
k
2
+
2
k
−
1
)
is
(i)
-4
(ii)
-7
(iii)
-2
(iv)
-6
(v)
-5
Question
22
22.
Which of the following algebraic expressions is a monomial?
(i)
(
−
7
f
)
(ii)
(
9
f
4
+
6
f
3
−
6
f
2
+
6
f
+
6
)
(iii)
(
6
f
2
+
6
)
(iv)
(
−
2
f
4
−
2
f
3
−
6
f
2
−
5
f
+
8
)
(v)
(
−
5
f
4
+
7
f
3
+
1
)
Question
23
23.
Which of the following algebraic expressions is a binomial?
(i)
(
−
8
x
2
−
2
)
(ii)
(
8
x
3
−
x
2
+
3
)
(iii)
(
−
6
x
4
+
8
x
3
+
3
x
2
−
6
x
+
9
)
(iv)
(
x
4
+
9
x
3
−
5
x
2
−
3
x
+
1
)
(v)
x
4
Question
24
24.
Which of the following algebraic expressions is a trinomial?
(i)
(
4
r
4
+
5
r
2
−
8
)
(ii)
(
−
9
r
4
−
8
r
3
+
9
r
2
+
9
r
+
9
)
(iii)
(
−
7
r
4
+
5
r
)
(iv)
9
r
(v)
(
8
r
4
+
r
3
−
6
r
2
−
2
r
−
2
)
Question
25
25.
Which of the following algebraic expressions is a constant polynomial?
(i)
(
3
x
4
+
9
)
(ii)
(
−
3
x
)
(iii)
(
−
7
x
4
+
6
x
3
+
2
)
(iv)
(
−
4
x
4
+
6
x
3
+
5
x
2
+
x
−
7
)
(v)
6
Question
26
26.
Which of the following algebraic expressions is a zero polynomial?
(i)
(
4
d
4
−
4
d
3
−
4
d
2
−
7
d
−
1
)
(ii)
(
−
9
d
2
)
(iii)
(
−
7
d
4
+
6
d
2
+
1
)
(iv)
(
−
6
d
3
−
3
d
)
(v)
0
Question
27
27.
Which of the following are polynomials?
a)
x
2
b)
x
2
+
1
x
2
c)
(
x
+
y
)
(
x
−
y
)
d)
(
x
+
y
)
e)
x
+
1
x
(i)
{e,b,a}
(ii)
{c,d,a}
(iii)
{c,d}
(iv)
{b,a}
(v)
{a,d}
Question
28
28.
Which of the following are not polynomials?
a)
(
11
x
+
y
)
b)
(
99
x
2
−
79
x
y
−
8
y
2
)
c)
81
x
2
d)
(
11
x
+
y
)
(
9
x
−
8
y
)
e)
x
+
1
x
(i)
{a,d}
(ii)
{b,e}
(iii)
{b,e,d}
(iv)
{c,a,d}
(v)
{d,e}
Question
29
29.
Which of the following are not polynomials?
a)
(
2
x
−
7
y
)
b)
121
x
2
+
1
121
x
2
c)
121
x
2
d)
√x
e)
(
9
x
+
y
)
(i)
{a,b}
(ii)
{b,d}
(iii)
{c,d,b}
(iv)
{c,d}
(v)
{e,a,b}
Question
30
30.
Which of the following are not polynomials?
a)
(
10
x
+
12
y
)
(
3
x
−
10
y
)
b)
(
3
x
−
10
y
)
c)
144
x
2
d)
√x
e)
(
30
x
2
−
64
x
y
−
120
y
2
)
(i)
{c,d}
(ii)
{a,d}
(iii)
{b,a}
(iv)
{e,b,a}
(v)
{c,d,a}
Question
31
31.
Which of the following is a factor of
32
x
5
y
z
3
?
(i)
x
6
y
z
2
(ii)
8
x
5
y
z
4
(iii)
8
x
2
y
z
2
(iv)
8
x
2
y
z
4
(v)
8
x
2
y
2
z
2
Question
32
32.
Which of the following is not a factor of
34
x
2
y
3
z
5
?
(i)
2
x
2
y
4
z
6
(ii)
2
x
y
2
z
3
(iii)
2
x
2
y
2
z
5
(iv)
2
x
2
y
3
z
4
(v)
2
x
y
3
z
5
Question
33
33.
Which of the following is a factor of
(
2
x
2
+
y
5
z
)
?
(i)
y
5
z
(ii)
2
x
2
(iii)
no factors
(iv)
2
x
z
(v)
2
y
4
Question
34
34.
Which of the following is an irreducible factor of
x
2
y
2
z
?
(i)
y
(ii)
x
2
y
(iii)
x
2
y
2
z
(iv)
x
z
(v)
y
2
z
Assignment Key
1) (v)
2) (iv)
3) (iii)
4) (v)
5) (v)
6) (v)
7) (ii)
8) (v)
9) (iii)
10) (ii)
11) (iv)
12) (i)
13) (iv)
14) (iii)
15) (iii)
16) (ii)
17) (i)
18) (iii)
19) (iv)
20) (v)
21) (v)
22) (i)
23) (i)
24) (i)
25) (v)
26) (v)
27) (v)
28) (v)
29) (ii)
30) (ii)
31) (iii)
32) (i)
33) (iii)
34) (i)
