EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Algebraic Expressions and Identities
Grade : CBSE Grade VIII
License : Non Commercial Use
Question
1
1.
Which of the following terms can be added to
8
r
2
?
(i)
(
−
4
r
2
)
(ii)
8
r
(iii)
(
−
5
r
3
)
(iv)
2
r
4
(v)
(
−
6
)
Question
2
2.
The value of
(
−
8
c
d
)
+
6
c
d
is
(i)
(
−
5
c
d
)
(ii)
(
−
2
c
d
)
(iii)
0
(iv)
(
−
c
d
)
(v)
(
−
3
c
d
)
Question
3
3.
The value of
(
−
3
t
)
(
s
t
2
u
2
+
2
t
)
is
(i)
(
−
2
s
t
3
u
2
−
6
t
2
)
(ii)
(
−
4
s
t
3
u
2
−
6
t
2
)
(iii)
(
−
3
s
t
3
u
2
−
9
t
2
)
(iv)
(
−
3
s
t
3
u
2
−
4
t
2
)
(v)
(
−
3
s
t
3
u
2
−
6
t
2
)
Question
4
4.
The value of
899
1
3
✕
899
1
3
is
(i)
808800
4
11
(ii)
808800
4
9
(iii)
808800
2
9
(iv)
808800
4
7
(v)
808800
2
3
Question
5
5.
Which of the following algebraic expressions is a zero polynomial?
(i)
(
3
d
3
−
4
d
2
+
9
d
)
(ii)
3
d
3
(iii)
0
(iv)
(
9
d
4
−
d
3
+
8
d
2
+
5
d
−
6
)
(v)
(
−
5
d
4
+
6
d
)
Question
6
6.
The value of
(
−
h
−
9
)
−
(
8
h
+
7
)
is
(i)
(
−
9
h
−
16
)
(ii)
(
−
10
h
−
16
)
(iii)
(
−
7
h
−
16
)
(iv)
(
−
11
h
−
16
)
(v)
(
−
8
h
−
16
)
Question
7
7.
The value of
94
✕
86
is
(i)
8084
(ii)
8081
(iii)
8087
(iv)
8083
(v)
8085
Question
8
8.
The expanded form of
(
2
m
n
)
3
is
(i)
2
m
n
(ii)
2
m
n
✕
2
m
n
✕
2
m
n
✕
2
m
n
✕
2
m
n
(iii)
2
m
n
✕
2
m
n
✕
2
m
n
(iv)
2
m
n
✕
2
m
n
✕
2
m
n
✕
2
m
n
(v)
2
m
n
✕
2
m
n
Question
9
9.
The value of
(
−
m
n
o
)
+
8
m
n
o
is
(i)
4
m
n
o
(ii)
7
m
n
o
(iii)
6
m
n
o
(iv)
9
m
n
o
(v)
8
m
n
o
Question
10
10.
Which of the following terms can be added to
(
−
2
t
)
?
(i)
(
−
5
s
)
(ii)
(
−
7
s
t
u
)
(iii)
(
−
2
t
)
(iv)
(
−
7
s
u
)
(v)
8
u
Question
11
11.
Which of the following terms can be subtracted from
5
b
c
?
(i)
(
−
6
b
c
)
(ii)
(
−
b
c
d
)
(iii)
(
−
3
d
)
(iv)
c
(v)
8
b
Question
12
12.
The value of
(
8
b
2
+
2
b
+
5
)
✕
(
6
b
2
−
6
b
+
7
)
is
(i)
(
49
b
4
−
36
b
3
+
74
b
2
−
16
b
+
35
)
(ii)
(
45
b
4
−
36
b
3
+
74
b
2
−
16
b
+
35
)
(iii)
(
50
b
4
−
36
b
3
+
74
b
2
−
16
b
+
35
)
(iv)
(
48
b
4
−
36
b
3
+
74
b
2
−
16
b
+
35
)
(v)
(
47
b
4
−
36
b
3
+
74
b
2
−
16
b
+
35
)
Question
13
13.
Which of the following algebraic expressions is a trinomial?
(i)
(
−
8
q
4
+
q
3
−
9
q
2
+
2
q
−
1
)
(ii)
(
−
2
q
+
4
)
(iii)
7
q
3
(iv)
(
2
q
3
+
q
+
5
)
(v)
(
8
q
4
−
6
q
3
−
5
q
2
+
8
q
+
6
)
Question
14
14.
The value of
82
✕
89
is
(i)
7299
(ii)
7296
(iii)
7298
(iv)
7300
(v)
7297
Question
15
15.
The value of
1
2
s
2
t
2
+
4
5
s
2
t
2
+
1
2
s
2
t
2
+
1
3
s
2
t
2
is
(i)
32
15
s
2
t
2
(ii)
36
17
s
2
t
2
(iii)
34
15
s
2
t
2
(iv)
2
s
2
t
2
(v)
28
13
s
2
t
2
Question
16
16.
The value of
500
1
2
✕
499
1
2
is
(i)
249999
3
4
(ii)
250000
1
4
(iii)
250000
1
2
(iv)
249999
1
2
(v)
249999
1
4
Question
17
17.
The value of
(
−
2
w
x
−
w
+
8
)
−
(
−
14
w
x
−
6
w
−
4
)
is
(i)
(
12
w
x
+
3
w
+
12
)
(ii)
(
11
w
x
+
5
w
+
12
)
(iii)
(
13
w
x
+
5
w
+
12
)
(iv)
(
12
w
x
+
7
w
+
12
)
(v)
(
12
w
x
+
5
w
+
12
)
Question
18
18.
The value of
(
−
4
z
2
−
4
z
+
4
)
✕
(
−
z
2
−
2
z
−
5
)
is
(i)
(
4
z
4
+
12
z
3
+
24
z
2
+
12
z
−
20
)
(ii)
(
6
z
4
+
12
z
3
+
24
z
2
+
12
z
−
20
)
(iii)
(
2
z
4
+
12
z
3
+
24
z
2
+
12
z
−
20
)
(iv)
(
3
z
4
+
12
z
3
+
24
z
2
+
12
z
−
20
)
(v)
(
5
z
4
+
12
z
3
+
24
z
2
+
12
z
−
20
)
Question
19
19.
The value of
(
7
x
y
+
4
y
z
2
+
3
)
+
(
−
9
x
2
y
−
4
x
y
z
2
−
x
y
)
+
(
9
x
y
2
z
−
2
y
2
z
2
−
7
z
)
is
(i)
(
−
9
x
2
y
+
9
x
y
2
z
−
4
x
y
z
2
+
6
x
y
−
2
y
2
z
2
+
4
y
z
2
−
7
z
+
3
)
(ii)
(
−
9
x
2
y
+
6
x
y
2
z
−
4
x
y
z
2
+
6
x
y
−
2
y
2
z
2
+
4
y
z
2
−
7
z
+
3
)
(iii)
(
−
9
x
2
y
+
11
x
y
2
z
−
4
x
y
z
2
+
6
x
y
−
2
y
2
z
2
+
4
y
z
2
−
7
z
+
3
)
(iv)
(
−
10
x
2
y
+
9
x
y
2
z
−
4
x
y
z
2
+
6
x
y
−
2
y
2
z
2
+
4
y
z
2
−
7
z
+
3
)
(v)
(
−
8
x
2
y
+
9
x
y
2
z
−
4
x
y
z
2
+
6
x
y
−
2
y
2
z
2
+
4
y
z
2
−
7
z
+
3
)
Question
20
20.
Which of the following is a like term of
(
−
7
x
2
z
)
?
(i)
(
−
x
2
z
)
(ii)
(
−
x
)
(iii)
(
−
5
x
y
2
z
)
(iv)
(
−
5
x
2
y
2
z
2
)
(v)
7
x
z
2
Question
21
21.
The sum of the terms
(
−
9
w
x
)
,
(
−
6
)
,
2
w
x
,
2
x
,
(
−
3
x
)
is
(i)
(
−
7
w
x
+
x
−
6
)
(ii)
(
−
7
w
x
−
3
x
−
6
)
(iii)
(
−
8
w
x
−
x
−
6
)
(iv)
(
−
6
w
x
−
x
−
6
)
(v)
(
−
7
w
x
−
x
−
6
)
Question
22
22.
(
a
+
b
)
(
a
−
b
)
(i)
(
−
b
2
)
(ii)
(
a
2
−
4
b
2
)
(iii)
(
a
2
−
b
2
)
(iv)
(
a
2
+
b
2
)
(v)
(
2
a
2
−
b
2
)
Question
23
23.
The value of
(
−
4
b
4
−
6
b
3
+
2
b
2
)
+
(
−
b
5
+
8
b
3
+
9
b
2
)
+
(
−
7
b
5
+
2
b
2
+
9
)
+
(
−
3
b
4
+
9
b
2
+
8
b
)
is
(i)
(
−
7
b
5
−
7
b
4
+
2
b
3
+
22
b
2
+
8
b
+
9
)
(ii)
(
−
8
b
5
−
7
b
4
+
2
b
3
+
22
b
2
+
8
b
+
9
)
(iii)
(
−
9
b
5
−
7
b
4
+
2
b
3
+
22
b
2
+
8
b
+
9
)
(iv)
(
−
10
b
5
−
7
b
4
+
2
b
3
+
22
b
2
+
8
b
+
9
)
(v)
(
−
6
b
5
−
7
b
4
+
2
b
3
+
22
b
2
+
8
b
+
9
)
Question
24
24.
The value of
2
3
p
4
+
1
5
p
4
+
1
2
p
4
+
1
2
p
4
is
(i)
2
p
4
(ii)
30
17
p
4
(iii)
26
15
p
4
(iv)
28
15
p
4
Question
25
25.
The coefficient of term
c
in polynomial
(
−
7
c
−
4
)
is
(i)
-10
(ii)
-8
(iii)
-6
(iv)
-5
(v)
-7
Assignment Key
1) (i)
2) (ii)
3) (v)
4) (ii)
5) (iii)
6) (i)
7) (i)
8) (iii)
9) (ii)
10) (iii)
11) (i)
12) (iv)
13) (iv)
14) (iii)
15) (i)
16) (i)
17) (v)
18) (i)
19) (i)
20) (i)
21) (v)
22) (iii)
23) (ii)
24) (iv)
25) (v)