EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Algebraic Expressions
Grade : ICSE Grade VII
License : Non Commercial Use
Question
1
1.
Which of the following are not polynomials?
a)
(
11
x
−
8
y
)
b)
√x
c)
(
8
x
+
7
y
)
d)
25
x
2
e)
25
x
2
+
1
25
x
2
(i)
{c,e,b}
(ii)
{c,e}
(iii)
{b,e}
(iv)
{d,a,b}
(v)
{a,b}
Question
2
2.
The value of
(
−
9
g
5
)
−
3
g
5
−
2
g
5
is
(i)
(
−
13
g
5
)
(ii)
(
−
12
g
5
)
(iii)
(
−
14
g
5
)
(iv)
(
−
16
g
5
)
(v)
(
−
15
g
5
)
Question
3
3.
The value of
(
−
2
v
w
x
)
+
(
−
6
v
w
x
)
is
(i)
(
−
6
v
w
x
)
(ii)
(
−
8
v
w
x
)
(iii)
(
−
7
v
w
x
)
(iv)
(
−
10
v
w
x
)
(v)
(
−
9
v
w
x
)
Question
4
4.
The value of
1
2
u
(
1
2
s
2
t
2
+
1
5
s
t
u
+
2
5
t
2
u
)
is
(i)
(
1
4
s
2
t
2
u
+
1
10
s
t
u
2
+
1
5
t
2
u
2
)
(ii)
(
1
4
s
2
t
2
u
+
3
10
s
t
u
2
+
1
5
t
2
u
2
)
(iii)
(
1
6
s
2
t
2
u
+
1
10
s
t
u
2
+
1
5
t
2
u
2
)
(iv)
(
1
4
s
2
t
2
u
−
1
10
s
t
u
2
+
1
5
t
2
u
2
)
(v)
(
1
2
s
2
t
2
u
+
1
10
s
t
u
2
+
1
5
t
2
u
2
)
Question
5
5.
The value of
(
7
g
+
6
)
✕
(
4
g
−
4
)
is
(i)
(
29
g
2
−
4
g
−
24
)
(ii)
(
28
g
2
−
4
g
−
24
)
(iii)
(
30
g
2
−
4
g
−
24
)
(iv)
(
27
g
2
−
4
g
−
24
)
(v)
(
26
g
2
−
4
g
−
24
)
Question
6
6.
The value of
1
5
(
1
2
j
+
5
6
k
)
is
(i)
(
1
10
j
−
1
6
k
)
(ii)
(
1
10
j
+
1
6
k
)
(iii)
(
1
12
j
+
1
6
k
)
(iv)
(
1
8
j
+
1
6
k
)
(v)
(
1
10
j
+
1
2
k
)
Question
7
7.
Which of the following algebraic expressions is a binomial?
(i)
(
−
n
2
p
3
−
n
o
2
p
−
4
n
o
p
2
+
6
o
3
p
3
)
(ii)
(
−
2
n
3
o
3
p
3
+
4
n
2
o
2
p
2
−
2
o
p
2
−
9
p
)
(iii)
(
3
n
3
o
2
p
3
+
4
n
2
p
3
−
7
o
3
p
)
(iv)
(
−
5
n
2
p
+
n
o
3
p
2
)
(v)
3
n
o
2
p
3
Question
8
8.
Which of the following terms can be added to
(
−
9
x
2
z
)
?
(i)
x
y
2
z
2
(ii)
3
x
2
y
2
(iii)
5
x
2
z
(iv)
8
x
2
z
2
(v)
(
−
2
y
2
z
2
)
Question
9
9.
The value of
5
q
−
(
−
4
q
)
is
(i)
9
q
(ii)
8
q
(iii)
6
q
(iv)
10
q
(v)
12
q
Question
10
10.
The value of
1
4
t
3
u
3
v
3
+
1
2
t
3
u
3
v
3
+
1
2
t
3
u
3
v
3
+
1
2
t
3
u
3
v
3
is
(i)
5
2
t
3
u
3
v
3
(ii)
3
2
t
3
u
3
v
3
(iii)
5
4
t
3
u
3
v
3
(iv)
9
4
t
3
u
3
v
3
(v)
7
4
t
3
u
3
v
3
Question
11
11.
Which of the following terms can be added to
(
−
4
q
)
?
(i)
(
−
2
q
3
)
(ii)
4
(iii)
3
q
2
(iv)
7
q
4
(v)
(
−
9
q
)
Question
12
12.
The value of
r
✕
r
✕
r
is
(i)
2
r
3
(ii)
3
r
3
(iii)
(
−
r
3
)
(iv)
0
(v)
r
3
Question
13
13.
The degree of polynomial
(
q
2
r
2
s
+
9
q
2
r
2
−
9
q
2
s
2
+
7
q
r
2
s
−
7
r
2
s
2
)
is
(i)
4
(ii)
6
(iii)
5
(iv)
7
(v)
3
Question
14
14.
The value of
(
t
2
u
+
5
t
u
2
+
2
u
−
4
)
−
(
7
t
2
u
−
3
t
u
2
+
8
t
+
5
)
is
(i)
(
−
7
t
2
u
+
8
t
u
2
−
8
t
+
2
u
−
9
)
(ii)
(
−
6
t
2
u
+
10
t
u
2
−
8
t
+
2
u
−
9
)
(iii)
(
−
5
t
2
u
+
8
t
u
2
−
8
t
+
2
u
−
9
)
(iv)
(
−
6
t
2
u
+
8
t
u
2
−
8
t
+
2
u
−
9
)
(v)
(
−
6
t
2
u
+
6
t
u
2
−
8
t
+
2
u
−
9
)
Question
15
15.
The value of
2
5
i
5
−
1
2
i
5
−
3
5
i
5
is
(i)
(
−
9
10
i
5
)
(ii)
(
−
1
2
i
5
)
(iii)
(
−
7
8
i
5
)
(iv)
(
−
7
10
i
5
)
(v)
(
−
7
12
i
5
)
Question
16
16.
The value of
(
2
u
+
6
)
✕
(
9
t
u
−
7
u
)
is
(i)
(
17
t
u
2
+
54
t
u
−
14
u
2
−
42
u
)
(ii)
(
18
t
u
2
+
56
t
u
−
14
u
2
−
42
u
)
(iii)
(
18
t
u
2
+
52
t
u
−
14
u
2
−
42
u
)
(iv)
(
18
t
u
2
+
54
t
u
−
14
u
2
−
42
u
)
(v)
(
19
t
u
2
+
54
t
u
−
14
u
2
−
42
u
)
Question
17
17.
The value of
7
x
2
y
2
z
✕
(
−
7
x
2
y
z
2
)
is
(i)
(
−
48
x
4
y
3
z
3
)
(ii)
(
−
46
x
4
y
3
z
3
)
(iii)
(
−
49
x
4
y
3
z
3
)
(iv)
(
−
51
x
4
y
3
z
3
)
(v)
(
−
50
x
4
y
3
z
3
)
Question
18
18.
The value of
1
2
d
3
−
1
2
d
3
is
(i)
1
(ii)
(
−
3
)
(iii)
(
−
1
)
(iv)
3
(v)
0
Question
19
19.
Which of the following terms can be subtracted from
3
m
2
?
(i)
(
−
9
m
n
o
)
(ii)
5
m
2
n
o
2
(iii)
(
−
m
2
n
)
(iv)
m
n
2
(v)
2
m
2
Question
20
20.
The quotient when
(
3
v
5
+
4
v
4
−
v
3
−
9
v
2
−
2
v
−
7
)
is divided by
(
v
−
1
)
is
(i)
(
3
v
4
+
7
v
3
+
6
v
2
−
3
v
−
5
)
(ii)
(
2
v
4
+
7
v
3
+
6
v
2
−
3
v
−
5
)
(iii)
(
4
v
4
+
7
v
3
+
6
v
2
−
3
v
−
5
)
(iv)
(
6
v
4
+
7
v
3
+
6
v
2
−
3
v
−
5
)
(v)
(
v
4
+
7
v
3
+
6
v
2
−
3
v
−
5
)
Question
21
21.
The value of
(
−
5
s
2
+
2
s
+
9
)
✕
(
−
s
2
−
8
s
+
1
)
is
(i)
(
4
s
4
+
38
s
3
−
30
s
2
−
70
s
+
9
)
(ii)
(
8
s
4
+
38
s
3
−
30
s
2
−
70
s
+
9
)
(iii)
(
2
s
4
+
38
s
3
−
30
s
2
−
70
s
+
9
)
(iv)
(
5
s
4
+
38
s
3
−
30
s
2
−
70
s
+
9
)
(v)
(
6
s
4
+
38
s
3
−
30
s
2
−
70
s
+
9
)
Question
22
22.
(
−
9
x
3
+
39
x
2
−
40
x
+
12
)
÷
(
−
3
x
2
+
11
x
−
6
)
=
(i)
(
4
x
−
2
)
(ii)
(
3
x
−
2
)
(iii)
(
2
x
−
2
)
(iv)
(
−
3
x
−
2
)
(v)
(
3
x
+
2
)
Question
23
23.
The remainder when
(
2
v
2
−
v
−
8
)
is divided by
(
v
−
6
)
is
(i)
55
(ii)
57
(iii)
60
(iv)
58
(v)
59
Question
24
24.
The value of
6
a
2
b
2
c
2
−
(
−
7
a
2
b
2
c
2
)
−
a
2
b
2
c
2
−
6
a
2
b
2
c
2
is
(i)
7
a
2
b
2
c
2
(ii)
6
a
2
b
2
c
2
(iii)
3
a
2
b
2
c
2
(iv)
5
a
2
b
2
c
2
(v)
9
a
2
b
2
c
2
Question
25
25.
The value of
(
−
2
x
2
+
x
+
8
)
−
(
5
x
2
−
x
+
7
)
is
(i)
(
−
5
x
2
+
2
x
+
1
)
(ii)
(
−
8
x
2
+
2
x
+
1
)
(iii)
(
−
7
x
2
+
2
x
+
1
)
(iv)
(
−
6
x
2
+
2
x
+
1
)
(v)
(
−
10
x
2
+
2
x
+
1
)
Assignment Key
1) (iii)
2) (iii)
3) (ii)
4) (i)
5) (ii)
6) (ii)
7) (iv)
8) (iii)
9) (i)
10) (v)
11) (v)
12) (v)
13) (iii)
14) (iv)
15) (iv)
16) (iv)
17) (iii)
18) (v)
19) (v)
20) (i)
21) (iv)
22) (ii)
23) (iv)
24) (ii)
25) (iii)
