EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Algebraic Expressions and Identities
Grade : CBSE Grade VIII
License : Non Commercial Use
Question
1
1.
The value of
(
−
3
k
2
l
2
m
2
)
−
4
k
2
l
2
m
2
is
(i)
(
−
4
k
2
l
2
m
2
)
(ii)
(
−
10
k
2
l
2
m
2
)
(iii)
(
−
8
k
2
l
2
m
2
)
(iv)
(
−
6
k
2
l
2
m
2
)
(v)
(
−
7
k
2
l
2
m
2
)
Question
2
2.
The expanded form of
(
−
v
w
)
3
is
(i)
(
−
v
w
)
✕
(
−
v
w
)
✕
(
−
v
w
)
(ii)
(
−
v
w
)
(iii)
(
−
v
w
)
✕
(
−
v
w
)
(iv)
(
−
v
w
)
✕
(
−
v
w
)
✕
(
−
v
w
)
✕
(
−
v
w
)
✕
(
−
v
w
)
(v)
(
−
v
w
)
✕
(
−
v
w
)
✕
(
−
v
w
)
✕
(
−
v
w
)
Question
3
3.
The value of
(
6
w
+
1
)
✕
(
−
6
w
−
6
)
is
(i)
(
−
35
w
2
−
42
w
−
6
)
(ii)
(
−
36
w
2
−
42
w
−
6
)
(iii)
(
−
34
w
2
−
42
w
−
6
)
(iv)
(
−
37
w
2
−
42
w
−
6
)
(v)
(
−
39
w
2
−
42
w
−
6
)
Question
4
4.
The expanded form of
(
2
5
o
+
1
3
)
3
is
(i)
(
2
5
o
+
1
3
)
✕
(
2
5
o
+
1
3
)
✕
(
2
5
o
+
1
3
)
✕
(
2
5
o
+
1
3
)
(ii)
(
2
5
o
+
1
3
)
(iii)
(
2
5
o
+
1
3
)
✕
(
2
5
o
+
1
3
)
✕
(
2
5
o
+
1
3
)
(iv)
(
2
5
o
+
1
3
)
✕
(
2
5
o
+
1
3
)
(v)
(
2
5
o
+
1
3
)
✕
(
2
5
o
+
1
3
)
✕
(
2
5
o
+
1
3
)
✕
(
2
5
o
+
1
3
)
✕
(
2
5
o
+
1
3
)
Question
5
5.
Which of the following terms is a like term of
2
t
?
(i)
1
(ii)
(
−
5
t
3
)
(iii)
(
−
9
t
)
(iv)
7
t
4
(v)
(
−
6
t
2
)
Question
6
6.
The value of
(
−
3
b
c
)
−
5
b
c
−
3
b
c
−
9
b
c
is
(i)
(
−
20
b
c
)
(ii)
(
−
21
b
c
)
(iii)
(
−
23
b
c
)
(iv)
(
−
18
b
c
)
(v)
(
−
19
b
c
)
Question
7
7.
The value of
198
2
3
✕
198
2
3
is
(i)
39468
4
9
(ii)
39468
4
7
(iii)
39468
4
11
(iv)
39468
2
9
(v)
39468
2
3
Question
8
8.
Which of the following algebraic expressions is a zero polynomial?
(i)
(
7
n
3
o
p
3
+
7
n
2
o
3
p
2
−
4
n
2
p
−
5
n
2
)
(ii)
(
−
n
3
p
2
+
5
n
2
o
p
3
−
4
n
o
2
p
2
)
(iii)
(
−
4
n
3
o
2
p
+
n
o
3
)
(iv)
0
(v)
(
−
3
n
2
o
3
p
3
)
Question
9
9.
The value of
1
3
w
x
y
(
3
5
w
2
x
+
1
2
w
x
2
y
2
+
1
5
w
x
y
2
)
is
(i)
(
1
3
w
3
x
2
y
+
1
6
w
2
x
3
y
3
+
1
15
w
2
x
2
y
3
)
(ii)
(
1
5
w
3
x
2
y
+
1
2
w
2
x
3
y
3
+
1
15
w
2
x
2
y
3
)
(iii)
(
1
7
w
3
x
2
y
+
1
6
w
2
x
3
y
3
+
1
15
w
2
x
2
y
3
)
(iv)
(
1
5
w
3
x
2
y
−
1
6
w
2
x
3
y
3
+
1
15
w
2
x
2
y
3
)
(v)
(
1
5
w
3
x
2
y
+
1
6
w
2
x
3
y
3
+
1
15
w
2
x
2
y
3
)
Question
10
10.
The expanded form of
(
x
−
8
)
(
x
+
7
)
(
x
+
7
)
(
x
−
9
)
is
(i)
(
3
x
4
−
3
x
3
−
117
x
2
+
175
x
+
3528
)
(ii)
(
2
x
4
−
3
x
3
−
117
x
2
+
175
x
+
3528
)
(iii)
(
x
4
−
3
x
3
−
117
x
2
+
175
x
+
3528
)
(iv)
(
−
2
x
4
−
3
x
3
−
117
x
2
+
175
x
+
3528
)
(v)
(
−
3
x
3
−
117
x
2
+
175
x
+
3528
)
Question
11
11.
The sum of the expressions
(
−
5
f
g
+
9
)
,
(
−
5
f
g
+
5
f
)
,
(
5
f
g
−
8
g
)
,
(
2
f
+
2
g
)
,
(
5
f
g
−
7
f
)
is
(i)
(
−
6
g
+
7
)
(ii)
(
−
6
g
+
9
)
(iii)
(
−
6
g
+
11
)
(iv)
(
−
5
g
+
9
)
(v)
(
−
7
g
+
9
)
Question
12
12.
The value of
3
4
d
2
e
2
f
2
−
1
2
d
2
e
2
f
2
−
1
2
d
2
e
2
f
2
−
2
3
d
2
e
2
f
2
is
(i)
(
−
13
12
d
2
e
2
f
2
)
(ii)
(
−
11
12
d
2
e
2
f
2
)
(iii)
(
−
11
14
d
2
e
2
f
2
)
(iv)
(
−
3
4
d
2
e
2
f
2
)
(v)
(
−
11
10
d
2
e
2
f
2
)
Question
13
13.
Which of the following algebraic expressions is a zero polynomial?
(i)
(
u
4
+
4
u
3
+
6
u
2
+
u
+
8
)
(ii)
0
(iii)
(
8
u
3
−
3
u
2
−
2
u
)
(iv)
(
u
4
−
2
u
2
)
(v)
(
−
9
u
3
)
Question
14
14.
The value of
1
(
x
2
y
+
x
)
is
(i)
(
x
2
y
−
x
)
(ii)
(
x
2
y
+
x
)
(iii)
x
(iv)
(
x
2
y
+
3
x
)
(v)
(
2
x
2
y
+
x
)
Question
15
15.
(
5
a
+
4
b
)
2
(i)
(
26
a
2
+
40
a
b
+
16
b
2
)
(ii)
(
25
a
2
+
37
a
b
+
16
b
2
)
(iii)
(
24
a
2
+
40
a
b
+
16
b
2
)
(iv)
(
25
a
2
+
43
a
b
+
16
b
2
)
(v)
(
25
a
2
+
40
a
b
+
16
b
2
)
Question
16
16.
The value of
9
f
−
(
−
7
f
)
is
(i)
14
f
(ii)
15
f
(iii)
17
f
(iv)
16
f
(v)
18
f
Question
17
17.
The value of
61
1
3
✕
58
2
3
is
(i)
3598
2
11
(ii)
3598
4
9
(iii)
3598
2
9
(iv)
3598
2
7
(v)
3598
Question
18
18.
The value of
(
3
n
2
+
8
n
)
✕
(
n
2
+
1
)
✕
(
2
n
2
−
5
)
is
(i)
(
9
n
6
+
16
n
5
−
9
n
4
−
24
n
3
−
15
n
2
−
40
n
)
(ii)
(
6
n
6
+
16
n
5
−
9
n
4
−
24
n
3
−
15
n
2
−
40
n
)
(iii)
(
5
n
6
+
16
n
5
−
9
n
4
−
24
n
3
−
15
n
2
−
40
n
)
(iv)
(
3
n
6
+
16
n
5
−
9
n
4
−
24
n
3
−
15
n
2
−
40
n
)
(v)
(
7
n
6
+
16
n
5
−
9
n
4
−
24
n
3
−
15
n
2
−
40
n
)
Question
19
19.
The value of
1
2
a
b
c
(
4
5
a
b
2
c
+
3
5
a
b
)
is
(i)
(
2
5
a
2
b
3
c
2
+
3
10
a
2
b
2
c
)
(ii)
(
2
5
a
2
b
3
c
2
+
1
2
a
2
b
2
c
)
(iii)
(
2
3
a
2
b
3
c
2
+
3
10
a
2
b
2
c
)
(iv)
(
2
5
a
2
b
3
c
2
+
1
10
a
2
b
2
c
)
(v)
(
2
7
a
2
b
3
c
2
+
3
10
a
2
b
2
c
)
Question
20
20.
The value of
803
✕
798
is
(i)
640793
(ii)
640792
(iii)
640797
(iv)
640794
(v)
640795
Question
21
21.
The value of
(
−
4
z
)
+
(
−
4
z
)
+
8
z
+
(
−
2
z
)
is
(i)
z
(ii)
(
−
2
z
)
(iii)
(
−
5
z
)
(iv)
(
−
z
)
(v)
(
−
3
z
)
Question
22
22.
The value of
(
3
n
4
+
9
n
+
5
)
−
(
−
9
n
2
−
6
n
+
2
)
is
(i)
(
4
n
4
+
9
n
2
+
15
n
+
3
)
(ii)
(
n
4
+
9
n
2
+
15
n
+
3
)
(iii)
(
3
n
4
+
9
n
2
+
15
n
+
3
)
(iv)
(
5
n
4
+
9
n
2
+
15
n
+
3
)
(v)
(
2
n
4
+
9
n
2
+
15
n
+
3
)
Question
23
23.
Which of the following algebraic expressions is a binomial?
(i)
(
−
5
p
2
)
(ii)
(
−
6
p
4
+
5
p
3
−
7
p
2
−
4
p
−
4
)
(iii)
(
−
3
p
4
+
7
p
3
)
(iv)
(
−
p
4
+
9
p
3
+
7
p
2
+
9
p
+
5
)
(v)
(
3
p
3
+
4
p
2
+
9
)
Question
24
24.
The value of
2
3
✕
2
3
i
✕
4
5
✕
1
2
i
is
(i)
2
15
i
2
(ii)
8
47
i
2
(iii)
2
9
i
2
(iv)
8
45
i
2
(v)
8
43
i
2
Question
25
25.
The value of
200
1
3
✕
199
1
3
is
(i)
39933
1
9
(ii)
39932
8
9
(iii)
39933
1
7
(iv)
39933
1
3
(v)
39933
1
11
Assignment Key
1) (v)
2) (i)
3) (ii)
4) (iii)
5) (iii)
6) (i)
7) (i)
8) (iv)
9) (v)
10) (iii)
11) (ii)
12) (ii)
13) (ii)
14) (ii)
15) (v)
16) (iv)
17) (iii)
18) (ii)
19) (i)
20) (iv)
21) (ii)
22) (iii)
23) (iii)
24) (iv)
25) (i)
