EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Algebraic Expressions
Grade : ICSE Grade VII
License : Non Commercial Use
Question
1
1.
Which of the following terms can be added to
(
−
8
o
q
2
)
?
(i)
5
o
p
2
q
(ii)
(
−
9
o
q
)
(iii)
(
−
9
p
2
q
)
(iv)
(
−
6
o
2
p
2
)
(v)
6
o
q
2
Question
2
2.
The value of
2
3
j
✕
3
5
i
is
(i)
2
3
i
j
(ii)
2
5
i
j
(iii)
2
7
i
j
(iv)
0
(v)
4
5
i
j
Question
3
3.
Which of the following terms can be added to
(
−
2
m
l
n
)
?
(i)
6
l
m
n
2
(ii)
(
−
6
l
m
n
)
(iii)
(
−
l
2
m
n
2
)
(iv)
(
−
9
l
2
m
n
)
(v)
l
m
2
n
Question
4
4.
Which of the following terms can be added to
(
−
4
u
t
2
v
)
?
(i)
5
t
u
2
v
(ii)
(
−
8
t
2
u
2
v
)
(iii)
(
−
9
t
u
2
v
2
)
(iv)
2
t
2
u
v
(v)
(
−
5
t
2
u
2
v
2
)
Question
5
5.
Which of the following algebraic expressions is a zero polynomial?
(i)
(
3
v
4
+
8
)
(ii)
(
8
v
3
+
3
v
2
−
1
)
(iii)
0
(iv)
(
6
v
4
+
2
v
3
−
4
v
2
−
2
v
+
1
)
(v)
(
−
7
v
3
)
Question
6
6.
The value of
(
4
i
+
6
j
)
✕
(
−
4
j
+
9
)
is
(i)
(
−
15
i
j
+
36
i
−
24
j
2
+
54
j
)
(ii)
(
−
16
i
j
+
33
i
−
24
j
2
+
54
j
)
(iii)
(
−
16
i
j
+
36
i
−
24
j
2
+
54
j
)
(iv)
(
−
16
i
j
+
39
i
−
24
j
2
+
54
j
)
(v)
(
−
17
i
j
+
36
i
−
24
j
2
+
54
j
)
Question
7
7.
Which of the following are polynomials?
a)
x
2
b)
x
+
1
x
c)
x
2
+
1
x
2
d)
(
x
+
y
)
e)
(
x
+
y
)
(
x
−
y
)
(i)
{c,d,a}
(ii)
{e,b,a}
(iii)
{c,d}
(iv)
{b,a}
(v)
{a,d}
Question
8
8.
The expanded form of
(
x
+
9
)
(
2
x
−
4
)
is
(i)
(
2
x
2
+
14
x
−
36
)
(ii)
(
3
x
2
+
14
x
−
36
)
(iii)
(
x
2
+
14
x
−
36
)
(iv)
(
5
x
2
+
14
x
−
36
)
(v)
(
−
x
2
+
14
x
−
36
)
Question
9
9.
The value of
2
5
i
5
−
1
2
i
5
−
1
2
i
5
is
(i)
(
−
i
5
)
(ii)
(
−
3
7
i
5
)
(iii)
(
−
3
5
i
5
)
(iv)
(
−
1
5
i
5
)
Question
10
10.
The remainder when
(
7
h
2
+
2
h
−
8
)
is divided by
(
h
−
2
)
is
(i)
25
(ii)
26
(iii)
23
(iv)
22
(v)
24
Question
11
11.
The coefficient of term
r
s
3
in polynomial
(
5
q
3
r
3
s
3
−
8
q
3
r
s
−
2
q
2
−
6
q
r
3
s
3
−
3
q
r
s
3
−
2
r
2
s
2
+
3
r
s
3
)
is
(i)
1
(ii)
2
(iii)
3
(iv)
4
(v)
5
Question
12
12.
The value of
(
−
2
)
(
−
2
p
q
−
2
)
is
(i)
(
4
p
q
+
6
)
(ii)
(
4
p
q
+
1
)
(iii)
(
4
p
q
+
4
)
(iv)
(
5
p
q
+
4
)
(v)
(
3
p
q
+
4
)
Question
13
13.
The value of
3
4
w
x
y
+
1
2
w
x
y
is
(i)
3
4
w
x
y
(ii)
7
4
w
x
y
(iii)
5
6
w
x
y
(iv)
5
4
w
x
y
(v)
5
2
w
x
y
Question
14
14.
(
16
x
3
y
3
+
96
x
2
y
3
)
÷
4
x
y
=
(i)
(
4
x
2
y
2
+
24
x
y
2
)
(ii)
(
4
x
2
y
2
+
24
x
y
3
z
)
(iii)
(
4
x
3
y
3
+
24
x
y
2
)
(iv)
(
4
x
2
y
2
+
24
y
3
)
(v)
(
4
x
3
y
4
+
24
x
y
2
)
Question
15
15.
Which of the following algebraic expressions is a zero polynomial?
(i)
(
6
s
3
t
3
u
+
5
s
u
3
)
(ii)
(
2
s
3
t
2
u
2
+
s
3
u
−
6
t
3
u
2
−
9
u
)
(iii)
0
(iv)
(
−
5
s
3
t
3
u
2
−
s
2
t
2
u
2
−
s
t
3
u
2
)
(v)
(
−
6
s
3
t
u
2
)
Question
16
16.
The value of
1
2
s
t
2
✕
2
3
s
t
is
(i)
s
2
t
3
(ii)
(
−
1
3
s
2
t
3
)
(iii)
1
3
s
2
t
3
(iv)
1
5
s
2
t
3
Question
17
17.
The value of
1
2
c
+
1
5
c
+
1
3
c
+
4
5
c
is
(i)
9
4
c
(ii)
11
6
c
(iii)
13
8
c
(iv)
3
2
c
(v)
13
6
c
Question
18
18.
The coefficient of term
i
j
in polynomial
(
−
i
j
+
3
i
−
11
j
−
1
)
is
(i)
0
(ii)
-3
(iii)
-2
(iv)
2
(v)
-1
Question
19
19.
Which of the following algebraic expressions is a trinomial?
(i)
(
−
2
m
4
+
9
)
(ii)
(
−
6
m
4
)
(iii)
(
8
m
4
−
2
m
3
+
m
2
+
3
m
−
2
)
(iv)
(
−
4
m
4
+
6
m
2
−
m
)
(v)
(
−
5
m
4
+
8
m
3
−
2
m
2
+
m
−
1
)
Question
20
20.
The value of
1
4
x
2
y
2
z
2
−
2
5
x
2
y
2
z
2
−
1
2
x
2
y
2
z
2
−
1
3
x
2
y
2
z
2
is
(i)
(
−
59
58
x
2
y
2
z
2
)
(ii)
(
−
59
60
x
2
y
2
z
2
)
(iii)
(
−
59
62
x
2
y
2
z
2
)
(iv)
(
−
19
20
x
2
y
2
z
2
)
(v)
(
−
61
60
x
2
y
2
z
2
)
Question
21
21.
Which of the following is not a factor of
45
x
3
y
2
z
5
?
(i)
45
x
3
y
3
z
6
(ii)
45
x
y
z
2
(iii)
45
x
3
y
2
z
4
(iv)
45
x
3
y
z
5
(v)
45
x
2
y
2
z
5
Question
22
22.
The value of
(
−
o
p
+
3
o
q
−
9
p
q
)
+
(
−
3
o
p
−
4
p
q
−
8
)
is
(i)
(
−
3
o
p
+
3
o
q
−
13
p
q
−
8
)
(ii)
(
−
4
o
p
+
o
q
−
13
p
q
−
8
)
(iii)
(
−
4
o
p
+
5
o
q
−
13
p
q
−
8
)
(iv)
(
−
4
o
p
+
3
o
q
−
13
p
q
−
8
)
(v)
(
−
5
o
p
+
3
o
q
−
13
p
q
−
8
)
Question
23
23.
The value of
1
5
f
−
1
3
f
is
(i)
0
(ii)
(
−
4
15
f
)
(iii)
(
−
2
13
f
)
(iv)
(
−
2
15
f
)
(v)
(
−
2
17
f
)
Question
24
24.
The remainder when
(
−
3
t
2
+
8
t
)
is divided by
(
t
+
3
)
is
(i)
(
−
51
)
(ii)
(
−
54
)
(iii)
(
−
52
)
(iv)
(
−
50
)
(v)
(
−
49
)
Question
25
25.
The value of
(
−
4
v
w
x
)
+
(
−
3
v
w
x
)
is
(i)
(
−
6
v
w
x
)
(ii)
(
−
9
v
w
x
)
(iii)
(
−
7
v
w
x
)
(iv)
(
−
8
v
w
x
)
(v)
(
−
4
v
w
x
)
Assignment Key
1) (v)
2) (ii)
3) (ii)
4) (iv)
5) (iii)
6) (iii)
7) (v)
8) (i)
9) (iii)
10) (v)
11) (iii)
12) (iii)
13) (iv)
14) (i)
15) (iii)
16) (iii)
17) (ii)
18) (v)
19) (iv)
20) (ii)
21) (i)
22) (iv)
23) (iv)
24) (i)
25) (iii)