EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Algebraic Expressions
Grade : ICSE Grade VII
License : Non Commercial Use
Question
1
1.
The degree of polynomial
(
−
9
l
2
m
3
−
6
l
2
m
2
n
−
3
l
2
m
n
3
+
7
l
m
3
−
4
l
n
3
+
l
n
2
−
m
3
n
2
)
is
(i)
5
(ii)
7
(iii)
4
(iv)
8
(v)
6
Question
2
2.
The value of
(
−
7
e
f
)
+
(
−
6
e
f
)
is
(i)
(
−
10
e
f
)
(ii)
(
−
14
e
f
)
(iii)
(
−
12
e
f
)
(iv)
(
−
16
e
f
)
(v)
(
−
13
e
f
)
Question
3
3.
(
24
x
4
+
36
x
3
−
168
x
2
−
180
x
)
÷
(
6
x
2
+
3
x
−
45
)
(i)
(
4
x
2
−
4
x
)
(ii)
(
4
x
2
+
5
x
)
(iii)
(
−
4
x
2
+
4
x
)
(iv)
(
4
x
2
+
4
x
)
(v)
(
4
x
2
+
3
x
)
Question
4
4.
The value of
(
−
9
j
+
8
)
✕
(
8
j
−
4
)
is
(i)
(
−
74
j
2
+
100
j
−
32
)
(ii)
(
−
69
j
2
+
100
j
−
32
)
(iii)
(
−
73
j
2
+
100
j
−
32
)
(iv)
(
−
72
j
2
+
100
j
−
32
)
(v)
(
−
71
j
2
+
100
j
−
32
)
Question
5
5.
The expanded form of
(
x
+
6
)
(
2
x
−
1
)
(
x
−
7
)
is
(i)
(
−
3
x
2
−
83
x
+
42
)
(ii)
(
2
x
3
−
3
x
2
−
83
x
+
42
)
(iii)
(
x
3
−
3
x
2
−
83
x
+
42
)
(iv)
(
4
x
3
−
3
x
2
−
83
x
+
42
)
(v)
(
3
x
3
−
3
x
2
−
83
x
+
42
)
Question
6
6.
Which of the following terms can be added to
(
−
7
j
l
)
?
(i)
9
l
(ii)
k
(iii)
(
−
j
k
l
)
(iv)
(
−
2
j
k
)
(v)
(
−
3
j
l
)
Question
7
7.
Which of the following terms can be subtracted from
(
−
4
)
?
(i)
(
−
7
j
4
)
(ii)
(
−
2
j
2
)
(iii)
7
j
(iv)
(
−
4
j
3
)
(v)
(
−
7
)
Question
8
8.
The degree of polynomial
(
−
2
x
2
y
+
9
x
2
+
9
x
y
2
−
3
y
2
)
is
(i)
2
(ii)
1
(iii)
3
(iv)
4
(v)
6
Question
9
9.
The value of
3
q
r
−
(
−
6
q
r
)
is
(i)
6
q
r
(ii)
10
q
r
(iii)
9
q
r
(iv)
8
q
r
(v)
12
q
r
Question
10
10.
The value of
1
2
p
q
−
1
5
p
q
is
(i)
1
2
p
q
(ii)
1
4
p
q
(iii)
1
10
p
q
(iv)
3
10
p
q
(v)
3
8
p
q
Question
11
11.
Which of the following terms is a like term of
4
g
3
?
(i)
1
(ii)
9
g
3
(iii)
4
g
(iv)
(
−
2
g
4
)
(v)
(
−
6
g
2
)
Question
12
12.
Which of the following are not polynomials?
a)
x
+
1
x
b)
36
x
2
c)
(
10
x
+
3
y
)
d)
(
10
x
+
3
y
)
(
2
x
−
11
y
)
e)
(
20
x
2
−
104
x
y
−
33
y
2
)
(i)
{c,d}
(ii)
{e,b,a}
(iii)
{c,d,a}
(iv)
{b,a}
(v)
{a,d}
Question
13
13.
The value of
3
4
a
2
−
1
2
a
2
−
1
3
a
2
is
(i)
1
12
a
2
(ii)
(
−
1
10
a
2
)
(iii)
(
−
1
14
a
2
)
(iv)
(
−
1
4
a
2
)
(v)
(
−
1
12
a
2
)
Question
14
14.
Which of the following algebraic expressions is a zero polynomial?
(i)
(
−
6
r
3
s
+
9
r
s
3
t
2
+
4
r
s
2
+
9
r
t
)
(ii)
(
−
3
r
2
s
2
t
3
−
7
t
2
)
(iii)
(
−
8
r
2
s
3
t
3
)
(iv)
0
(v)
(
−
2
r
3
s
t
2
−
7
r
2
s
3
t
+
r
2
s
2
t
)
Question
15
15.
The degree of the polynomial
(
−
9
w
5
+
5
w
3
−
6
w
2
+
w
+
7
)
is
(i)
6
(ii)
2
(iii)
5
(iv)
8
(v)
4
Question
16
16.
The coefficient of term
h
2
in polynomial
(
−
4
h
2
i
−
3
h
2
+
i
2
−
2
i
)
is
(i)
0
(ii)
-4
(iii)
-2
(iv)
-5
(v)
-3
Question
17
17.
The value of
2
3
✕
1
2
✕
1
2
n
is
(i)
1
2
n
(ii)
1
4
n
(iii)
(
−
1
6
n
)
(iv)
1
6
n
(v)
1
8
n
Question
18
18.
The value of
(
9
g
+
7
h
i
+
h
)
−
(
5
g
h
−
4
g
+
3
h
i
)
is
(i)
(
−
6
g
h
+
13
g
+
4
h
i
+
h
)
(ii)
(
−
5
g
h
+
16
g
+
4
h
i
+
h
)
(iii)
(
−
4
g
h
+
13
g
+
4
h
i
+
h
)
(iv)
(
−
5
g
h
+
13
g
+
4
h
i
+
h
)
(v)
(
−
5
g
h
+
10
g
+
4
h
i
+
h
)
Question
19
19.
(
36
x
4
y
3
+
144
x
3
y
4
)
÷
6
x
2
y
2
=
(i)
(
6
x
3
y
2
+
24
x
y
2
)
(ii)
(
6
x
2
y
+
24
y
3
)
(iii)
(
6
x
2
y
+
24
x
y
3
z
)
(iv)
(
6
x
3
y
3
+
24
x
y
2
)
(v)
(
6
x
2
y
+
24
x
y
2
)
Question
20
20.
The value of
2
3
q
✕
2
3
p
✕
1
5
✕
1
2
p
is
(i)
4
45
p
2
q
(ii)
0
(iii)
2
43
p
2
q
(iv)
2
45
p
2
q
(v)
2
47
p
2
q
Question
21
21.
The value of
5
h
i
j
+
(
−
4
h
i
j
)
is
(i)
3
h
i
j
(ii)
0
(iii)
2
h
i
j
(iv)
(
−
h
i
j
)
(v)
h
i
j
Question
22
22.
The quotient when
7
z
is divided by
(
−
1
)
is
(i)
(
−
9
z
)
(ii)
(
−
6
z
)
(iii)
(
−
7
z
)
(iv)
(
−
5
z
)
(v)
(
−
8
z
)
Question
23
23.
Which of the following terms is a like term of
6
m
?
(i)
5
m
2
(ii)
(
−
7
m
)
(iii)
4
m
3
(iv)
(
−
3
)
(v)
3
m
4
Question
24
24.
The coefficient of term
f
2
in polynomial
(
−
4
f
2
−
5
f
+
6
)
is
(i)
-5
(ii)
-6
(iii)
-4
(iv)
-2
(v)
-3
Question
25
25.
The quotient when
(
−
3
x
−
9
)
is divided by
(
x
+
5
)
is
(i)
(
−
5
)
(ii)
(
−
3
)
(iii)
0
(iv)
(
−
2
)
(v)
(
−
4
)
Assignment Key
1) (v)
2) (v)
3) (iv)
4) (iv)
5) (ii)
6) (v)
7) (v)
8) (iii)
9) (iii)
10) (iv)
11) (ii)
12) (v)
13) (v)
14) (iv)
15) (iii)
16) (v)
17) (iv)
18) (iv)
19) (v)
20) (iv)
21) (v)
22) (iii)
23) (ii)
24) (iii)
25) (ii)