EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Algebraic Expressions
Grade : SSC Grade VIII
License : Non Commercial Use
Question
1
1.
The value of
3
5
y
2
+
1
2
y
2
+
3
4
y
2
is
(i)
35
18
y
2
(ii)
39
22
y
2
(iii)
7
4
y
2
(iv)
37
20
y
2
(v)
39
20
y
2
Question
2
2.
The sum of the expressions
(
3
p
q
−
3
p
−
9
)
,
(
−
7
p
q
−
8
p
−
7
)
,
(
2
p
q
−
9
p
−
8
q
)
,
(
13
p
q
−
5
q
+
3
)
,
(
4
p
q
−
4
p
−
18
q
)
is
(i)
(
16
p
q
−
24
p
−
31
q
−
13
)
(ii)
(
15
p
q
−
24
p
−
31
q
−
13
)
(iii)
(
15
p
q
−
22
p
−
31
q
−
13
)
(iv)
(
14
p
q
−
24
p
−
31
q
−
13
)
(v)
(
15
p
q
−
26
p
−
31
q
−
13
)
Question
3
3.
Which of the following algebraic expressions is a zero polynomial?
(i)
0
(ii)
(
−
8
f
)
(iii)
(
f
4
−
1
)
(iv)
(
7
f
4
−
4
f
3
−
3
f
2
+
4
f
−
7
)
(v)
(
−
8
f
4
+
f
−
7
)
Question
4
4.
The value of the polynomial
(
−
3
m
o
+
8
m
+
5
n
)
at
m
=
3
,
n
=
1
,
o
=
3
is
(i)
3
(ii)
1
(iii)
5
(iv)
0
(v)
2
Question
5
5.
The value of
400
1
3
✕
400
1
3
is
(i)
160266
5
9
(ii)
160266
7
11
(iii)
160266
7
9
(iv)
160267
Question
6
6.
The sum of the expressions
(
2
r
+
3
)
,
(
−
7
q
r
−
8
r
)
,
(
−
7
r
+
5
)
,
(
−
6
q
r
−
6
r
)
,
(
−
13
q
−
3
)
is
(i)
(
−
13
q
r
−
10
q
−
19
r
+
5
)
(ii)
(
−
14
q
r
−
13
q
−
19
r
+
5
)
(iii)
(
−
12
q
r
−
13
q
−
19
r
+
5
)
(iv)
(
−
13
q
r
−
16
q
−
19
r
+
5
)
(v)
(
−
13
q
r
−
13
q
−
19
r
+
5
)
Question
7
7.
Which of the following terms is a like term of
6
v
4
?
(i)
(
−
v
)
(ii)
3
v
4
(iii)
2
(iv)
(
−
8
v
2
)
(v)
3
v
3
Question
8
8.
The value of
3
n
2
o
2
p
2
−
8
n
2
o
2
p
2
−
(
−
9
n
2
o
2
p
2
)
−
4
n
2
o
2
p
2
is
(i)
3
(ii)
(
−
2
)
(iii)
0
(iv)
1
(v)
(
−
1
)
Question
9
9.
The value of
(
−
5
d
2
e
2
)
+
9
d
2
e
2
+
(
−
6
d
2
e
2
)
+
(
−
8
d
2
e
2
)
is
(i)
(
−
10
d
2
e
2
)
(ii)
(
−
8
d
2
e
2
)
(iii)
(
−
11
d
2
e
2
)
(iv)
(
−
13
d
2
e
2
)
(v)
(
−
9
d
2
e
2
)
Question
10
10.
The value of
(
9
v
2
+
v
+
6
)
+
(
−
3
v
2
+
7
v
−
7
)
is
(i)
(
5
v
2
+
8
v
−
1
)
(ii)
(
7
v
2
+
8
v
−
1
)
(iii)
(
9
v
2
+
8
v
−
1
)
(iv)
(
3
v
2
+
8
v
−
1
)
(v)
(
6
v
2
+
8
v
−
1
)
Question
11
11.
The value of the polynomial
(
8
j
2
k
l
2
+
2
k
2
l
−
3
)
at
j
=
0
,
k
=
(-5)
,
l
=
4
is
(i)
199
(ii)
197
(iii)
198
(iv)
196
(v)
195
Question
12
12.
The coefficient of term
q
in polynomial
(
−
2
q
4
−
7
q
3
+
2
q
2
+
2
q
+
9
)
is
(i)
3
(ii)
1
(iii)
2
(iv)
-1
(v)
5
Question
13
13.
Which of the following algebraic expressions is a trinomial?
(i)
(
−
7
t
4
−
t
3
+
6
t
2
+
4
t
−
1
)
(ii)
(
−
t
4
−
9
t
2
+
8
)
(iii)
(
−
t
4
+
7
t
3
+
9
t
2
+
2
t
+
4
)
(iv)
(
3
t
4
−
5
)
(v)
(
−
6
t
2
)
Question
14
14.
The value of
6
d
5
−
3
d
5
−
4
d
5
is
(i)
0
(ii)
(
−
d
5
)
(iii)
(
−
2
d
5
)
(iv)
(
−
4
d
5
)
(v)
d
5
Question
15
15.
The product of the terms
(
−
3
j
)
,
(
−
2
k
)
,
2
j
,
(
−
5
)
,
(
−
3
)
is
(i)
180
j
2
k
(ii)
179
j
2
k
(iii)
178
j
2
k
(iv)
183
j
2
k
(v)
181
j
2
k
Question
16
16.
The value of
49
1
2
✕
49
1
2
is
(i)
2450
1
2
(ii)
2450
1
6
(iii)
2449
3
4
(iv)
2450
3
4
(v)
2450
1
4
Question
17
17.
The value of the polynomial
(
−
7
)
at
q
=
(-1)
,
r
=
4
,
s
=
1
is
(i)
-10
(ii)
-6
(iii)
-7
(iv)
-5
(v)
-8
Question
18
18.
(
−
5
a
−
b
)
2
(i)
(
25
a
2
+
13
a
b
+
b
2
)
(ii)
(
25
a
2
+
8
a
b
+
b
2
)
(iii)
(
25
a
2
+
10
a
b
+
b
2
)
(iv)
(
26
a
2
+
10
a
b
+
b
2
)
(v)
(
24
a
2
+
10
a
b
+
b
2
)
Question
19
19.
The value of the polynomial
(
−
9
w
x
y
)
at
w
=
(-4)
,
x
=
(-4)
,
y
=
(-2)
is
(i)
288
(ii)
285
(iii)
289
(iv)
287
(v)
290
Question
20
20.
i
3
j
4
=
(i)
i
✕
i
✕
i
✕
i
✕
j
✕
j
✕
j
✕
j
(ii)
i
✕
i
✕
i
✕
j
✕
j
✕
j
✕
j
(iii)
i
✕
i
✕
j
✕
j
✕
j
✕
j
(iv)
4
✕
i
✕
i
✕
i
✕
j
✕
j
✕
j
✕
j
(v)
-2
✕
i
✕
i
✕
i
✕
j
✕
j
✕
j
✕
j
Question
21
21.
Which of the following is a like term of
5
v
w
x
2
?
(i)
8
v
2
w
x
(ii)
(
−
6
v
x
2
)
(iii)
(
−
5
v
2
w
)
(iv)
4
v
w
x
2
(v)
7
v
w
2
x
Question
22
22.
The value of
2
3
k
l
+
3
4
k
l
is
(i)
19
12
k
l
(ii)
17
10
k
l
(iii)
17
14
k
l
(iv)
5
4
k
l
(v)
17
12
k
l
Question
23
23.
The value of
1
2
t
2
u
2
v
2
−
1
2
t
2
u
2
v
2
−
1
3
t
2
u
2
v
2
−
1
4
t
2
u
2
v
2
is
(i)
(
−
7
10
t
2
u
2
v
2
)
(ii)
(
−
5
12
t
2
u
2
v
2
)
(iii)
(
−
1
2
t
2
u
2
v
2
)
(iv)
(
−
7
12
t
2
u
2
v
2
)
(v)
(
−
3
4
t
2
u
2
v
2
)
Question
24
24.
The value of the polynomial
(
−
9
c
d
−
6
e
)
at
c
=
0
,
d
=
3
,
e
=
3
is
(i)
-20
(ii)
-18
(iii)
-19
(iv)
-15
(v)
-17
Question
25
25.
(
−
4
a
−
5
b
)
2
(i)
(
15
a
2
+
40
a
b
+
25
b
2
)
(ii)
(
16
a
2
+
43
a
b
+
25
b
2
)
(iii)
(
16
a
2
+
40
a
b
+
25
b
2
)
(iv)
(
17
a
2
+
40
a
b
+
25
b
2
)
(v)
(
16
a
2
+
37
a
b
+
25
b
2
)
Assignment Key
1) (iv)
2) (ii)
3) (i)
4) (v)
5) (iii)
6) (v)
7) (ii)
8) (iii)
9) (i)
10) (v)
11) (ii)
12) (iii)
13) (ii)
14) (ii)
15) (i)
16) (v)
17) (iii)
18) (iii)
19) (i)
20) (ii)
21) (iv)
22) (v)
23) (iv)
24) (ii)
25) (iii)
