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
4
k
2
+
1
5
k
2
+
1
2
k
2
is
(i)
29
22
k
2
(ii)
29
18
k
2
(iii)
29
20
k
2
(iv)
31
20
k
2
(v)
27
20
k
2
Question
2
2.
Which of the following is a like term of
(
−
3
q
)
?
(i)
(
−
3
q
)
(ii)
5
r
(iii)
8
q
s
(iv)
9
r
s
(v)
9
s
Question
3
3.
The value of
1
5
d
2
−
2
3
d
2
−
1
3
d
2
is
(i)
(
−
4
3
d
2
)
(ii)
(
−
2
5
d
2
)
(iii)
(
−
4
7
d
2
)
(iv)
(
−
6
5
d
2
)
(v)
(
−
4
5
d
2
)
Question
4
4.
Which of the following algebraic expressions is a zero polynomial?
(i)
(
−
5
p
q
3
r
3
)
(ii)
(
−
4
p
2
q
2
r
+
p
2
r
3
−
p
r
)
(iii)
0
(iv)
(
3
p
3
q
2
r
3
−
2
p
q
3
r
+
4
q
3
r
3
−
2
q
r
3
)
(v)
(
p
q
3
r
+
5
q
2
r
2
)
Question
5
5.
The expanded form of
(
−
3
c
)
3
is
(i)
(
−
3
c
)
✕
(
−
3
c
)
✕
(
−
3
c
)
✕
(
−
3
c
)
✕
(
−
3
c
)
(ii)
(
−
3
c
)
✕
(
−
3
c
)
✕
(
−
3
c
)
✕
(
−
3
c
)
(iii)
(
−
3
c
)
(iv)
(
−
3
c
)
✕
(
−
3
c
)
(v)
(
−
3
c
)
✕
(
−
3
c
)
✕
(
−
3
c
)
Question
6
6.
The value of
2
5
t
3
u
3
v
3
+
1
2
t
3
u
3
v
3
+
2
3
t
3
u
3
v
3
+
1
3
t
3
u
3
v
3
is
(i)
17
10
t
3
u
3
v
3
(ii)
19
10
t
3
u
3
v
3
(iii)
7
4
t
3
u
3
v
3
(iv)
17
8
t
3
u
3
v
3
(v)
21
10
t
3
u
3
v
3
Question
7
7.
The value of
4
t
4
+
9
t
4
+
(
−
3
t
4
)
+
2
t
4
is
(i)
10
t
4
(ii)
11
t
4
(iii)
15
t
4
(iv)
12
t
4
(v)
13
t
4
Question
8
8.
Which of the following terms can be added to
(
−
3
b
2
a
2
c
)
?
(i)
(
−
3
a
2
b
c
2
)
(ii)
4
a
2
b
c
(iii)
3
a
2
b
2
c
2
(iv)
2
a
b
2
c
2
(v)
a
2
b
2
c
Question
9
9.
The value of
81
1
2
✕
80
1
2
is
(i)
6561
1
2
(ii)
6560
1
2
(iii)
6560
1
4
(iv)
6561
1
4
(v)
6560
3
4
Question
10
10.
The value of
(
−
2
h
)
+
9
h
is
(i)
7
h
(ii)
9
h
(iii)
4
h
(iv)
6
h
(v)
8
h
Question
11
11.
The expanded form of
(
3
x
+
4
)
(
x
−
3
)
(
2
x
+
1
)
is
(i)
(
7
x
3
−
7
x
2
−
29
x
−
12
)
(ii)
(
8
x
3
−
7
x
2
−
29
x
−
12
)
(iii)
(
6
x
3
−
7
x
2
−
29
x
−
12
)
(iv)
(
5
x
3
−
7
x
2
−
29
x
−
12
)
(v)
(
4
x
3
−
7
x
2
−
29
x
−
12
)
Question
12
12.
The expanded form of
(
1
2
w
+
1
5
)
3
is
(i)
(
1
2
w
+
1
5
)
✕
(
1
2
w
+
1
5
)
✕
(
1
2
w
+
1
5
)
(ii)
(
1
2
w
+
1
5
)
(iii)
(
1
2
w
+
1
5
)
✕
(
1
2
w
+
1
5
)
(iv)
(
1
2
w
+
1
5
)
✕
(
1
2
w
+
1
5
)
✕
(
1
2
w
+
1
5
)
✕
(
1
2
w
+
1
5
)
✕
(
1
2
w
+
1
5
)
(v)
(
1
2
w
+
1
5
)
✕
(
1
2
w
+
1
5
)
✕
(
1
2
w
+
1
5
)
✕
(
1
2
w
+
1
5
)
Question
13
13.
The value of
a
✕
a
✕
a
is
(i)
2
a
3
(ii)
4
a
3
(iii)
(
−
a
3
)
(iv)
a
3
(v)
0
Question
14
14.
The value of
(
−
3
q
2
r
2
s
2
)
−
(
−
2
q
2
r
2
s
2
)
is
(i)
(
−
2
q
2
r
2
s
2
)
(ii)
(
−
4
q
2
r
2
s
2
)
(iii)
(
−
q
2
r
2
s
2
)
(iv)
0
(v)
q
2
r
2
s
2
Question
15
15.
The value of
(
7
n
o
+
6
o
)
✕
(
3
n
−
6
o
)
is
(i)
(
21
n
2
o
−
42
n
o
2
+
18
n
o
−
36
o
2
)
(ii)
(
20
n
2
o
−
42
n
o
2
+
18
n
o
−
36
o
2
)
(iii)
(
21
n
2
o
−
40
n
o
2
+
18
n
o
−
36
o
2
)
(iv)
(
22
n
2
o
−
42
n
o
2
+
18
n
o
−
36
o
2
)
(v)
(
21
n
2
o
−
44
n
o
2
+
18
n
o
−
36
o
2
)
Question
16
16.
(
3
2
a
−
3
b
)
2
(i)
(
9
4
a
2
−
9
a
b
+
9
b
2
)
(ii)
(
9
4
a
2
−
6
a
b
+
9
b
2
)
(iii)
(
13
6
a
2
−
9
a
b
+
9
b
2
)
(iv)
(
9
4
a
2
−
11
a
b
+
9
b
2
)
(v)
(
5
2
a
2
−
9
a
b
+
9
b
2
)
Question
17
17.
The value of
h
2
i
2
j
2
−
(
−
8
h
2
i
2
j
2
)
−
(
−
8
h
2
i
2
j
2
)
−
(
−
9
h
2
i
2
j
2
)
is
(i)
26
h
2
i
2
j
2
(ii)
25
h
2
i
2
j
2
(iii)
24
h
2
i
2
j
2
(iv)
27
h
2
i
2
j
2
(v)
29
h
2
i
2
j
2
Question
18
18.
The product of the terms
(
−
5
s
)
,
4
q
r
,
3
q
,
(
−
3
)
,
(
−
2
)
is
(i)
(
−
359
q
2
r
s
)
(ii)
(
−
358
q
2
r
s
)
(iii)
(
−
362
q
2
r
s
)
(iv)
(
−
361
q
2
r
s
)
(v)
(
−
360
q
2
r
s
)
Question
19
19.
The coefficient of term
f
3
in polynomial
(
8
f
3
+
2
f
2
−
9
f
−
4
)
is
(i)
5
(ii)
8
(iii)
9
(iv)
7
(v)
11
Question
20
20.
The value of
(
7
b
5
−
2
b
2
+
7
)
−
(
−
8
b
4
+
9
b
2
+
1
)
is
(i)
(
5
b
5
+
8
b
4
−
11
b
2
+
6
)
(ii)
(
10
b
5
+
8
b
4
−
11
b
2
+
6
)
(iii)
(
6
b
5
+
8
b
4
−
11
b
2
+
6
)
(iv)
(
8
b
5
+
8
b
4
−
11
b
2
+
6
)
(v)
(
7
b
5
+
8
b
4
−
11
b
2
+
6
)
Question
21
21.
Which of the following terms can be subtracted from
5
n
2
?
(i)
(
−
3
n
3
)
(ii)
(
−
5
n
4
)
(iii)
7
n
(iv)
7
(v)
4
n
2
Question
22
22.
Which of the following terms is a like term of
(
−
7
q
2
)
?
(i)
(
−
5
q
)
(ii)
(
−
5
q
4
)
(iii)
6
q
3
(iv)
(
−
8
)
(v)
5
q
2
Question
23
23.
(
−
3
2
a
−
3
2
b
)
2
(i)
(
5
2
a
2
+
9
2
a
b
+
9
4
b
2
)
(ii)
(
9
4
a
2
+
7
2
a
b
+
9
4
b
2
)
(iii)
(
9
4
a
2
+
9
2
a
b
+
9
4
b
2
)
(iv)
(
9
4
a
2
+
11
2
a
b
+
9
4
b
2
)
(v)
(
13
6
a
2
+
9
2
a
b
+
9
4
b
2
)
Question
24
24.
The value of
(
−
5
s
)
−
(
−
8
s
)
is
(i)
4
s
(ii)
5
s
(iii)
0
(iv)
3
s
(v)
2
s
Question
25
25.
The constant term in polynomial
(
4
n
−
9
)
is
(i)
-11
(ii)
-8
(iii)
-7
(iv)
-9
(v)
-10
Assignment Key
1) (iii)
2) (i)
3) (v)
4) (iii)
5) (v)
6) (ii)
7) (iv)
8) (v)
9) (v)
10) (i)
11) (iii)
12) (i)
13) (iv)
14) (iii)
15) (i)
16) (i)
17) (i)
18) (v)
19) (ii)
20) (v)
21) (v)
22) (v)
23) (iii)
24) (iv)
25) (iv)
