EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Algebraic Expressions
Grade : ICSE Grade VII
License : Non Commercial Use
Question
1
1.
The sum of the expressions
(
−
9
r
s
−
8
s
+
1
)
,
(
−
8
r
s
+
2
r
+
3
)
,
(
−
9
r
s
+
5
s
+
3
)
,
(
4
r
−
7
s
+
3
)
,
(
−
6
r
s
+
s
−
3
)
is
(i)
(
−
32
r
s
+
3
r
−
9
s
+
7
)
(ii)
(
−
32
r
s
+
8
r
−
9
s
+
7
)
(iii)
(
−
31
r
s
+
6
r
−
9
s
+
7
)
(iv)
(
−
33
r
s
+
6
r
−
9
s
+
7
)
(v)
(
−
32
r
s
+
6
r
−
9
s
+
7
)
Question
2
2.
(
−
18
x
4
+
81
x
3
−
63
x
2
−
81
x
+
81
)
÷
(
6
x
3
−
21
x
2
+
27
)
=
(i)
(
−
3
x
+
3
)
(ii)
(
−
2
x
+
3
)
(iii)
(
−
4
x
+
3
)
(iv)
(
−
3
x
−
3
)
(v)
(
3
x
+
3
)
Question
3
3.
Which of the following terms is a like term of
5
i
?
(i)
(
−
2
i
)
(ii)
i
4
(iii)
(
−
5
)
(iv)
(
−
5
i
3
)
(v)
(
−
i
2
)
Question
4
4.
The value of
3
5
v
2
w
2
x
2
−
1
2
v
2
w
2
x
2
is
(i)
(
−
1
10
v
2
w
2
x
2
)
(ii)
3
10
v
2
w
2
x
2
(iii)
1
8
v
2
w
2
x
2
(iv)
1
12
v
2
w
2
x
2
(v)
1
10
v
2
w
2
x
2
Question
5
5.
The value of
(
−
6
k
l
)
+
3
k
l
is
(i)
(
−
5
k
l
)
(ii)
(
−
2
k
l
)
(iii)
(
−
k
l
)
(iv)
(
−
3
k
l
)
(v)
(
−
4
k
l
)
Question
6
6.
The value of
2
3
f
(
1
2
d
2
e
2
f
+
1
3
d
2
)
is
(i)
(
1
3
d
2
e
2
f
2
+
4
9
d
2
f
)
(ii)
(
1
5
d
2
e
2
f
2
+
2
9
d
2
f
)
(iii)
(
d
2
e
2
f
2
+
2
9
d
2
f
)
(iv)
(
1
3
d
2
e
2
f
2
+
2
9
d
2
f
)
(v)
1
3
d
2
e
2
f
2
Question
7
7.
The value of
1
2
p
−
3
4
p
is
(i)
(
−
1
2
p
)
(ii)
(
−
3
4
p
)
(iii)
(
−
1
6
p
)
(iv)
1
4
p
(v)
(
−
1
4
p
)
Question
8
8.
Which of the following algebraic expressions is a zero polynomial?
(i)
(
−
3
n
3
−
4
n
2
)
(ii)
0
(iii)
(
4
n
4
+
8
n
3
−
n
2
+
6
n
−
4
)
(iv)
(
−
4
n
3
+
3
n
2
−
4
n
)
(v)
2
n
3
Question
9
9.
The value of
(
−
9
z
+
3
)
✕
(
6
z
−
8
)
is
(i)
(
−
54
z
2
+
90
z
−
24
)
(ii)
(
−
56
z
2
+
90
z
−
24
)
(iii)
(
−
55
z
2
+
90
z
−
24
)
(iv)
(
−
52
z
2
+
90
z
−
24
)
(v)
(
−
53
z
2
+
90
z
−
24
)
Question
10
10.
The value of
(
−
r
s
−
16
r
+
3
s
)
−
(
−
8
r
s
−
6
r
−
8
s
)
is
(i)
(
7
r
s
−
13
r
+
11
s
)
(ii)
(
7
r
s
−
8
r
+
11
s
)
(iii)
(
6
r
s
−
10
r
+
11
s
)
(iv)
(
8
r
s
−
10
r
+
11
s
)
(v)
(
7
r
s
−
10
r
+
11
s
)
Question
11
11.
The value of
(
−
2
v
2
−
5
v
+
7
)
−
(
−
3
v
2
−
3
v
+
3
)
is
(i)
(
−
2
v
+
4
)
(ii)
(
−
2
v
2
−
2
v
+
4
)
(iii)
(
2
v
2
−
2
v
+
4
)
(iv)
(
v
2
−
2
v
+
4
)
(v)
(
3
v
2
−
2
v
+
4
)
Question
12
12.
Which of the following is a like term of
9
k
?
(i)
(
−
2
j
2
k
2
)
(ii)
(
−
8
j
k
)
(iii)
(
−
k
)
(iv)
6
(v)
(
−
7
j
2
)
Question
13
13.
The quotient when
(
9
m
5
−
6
m
4
−
6
m
3
−
7
m
2
+
3
m
−
6
)
is divided by
(
m
−
3
)
is
(i)
(
8
m
4
+
21
m
3
+
57
m
2
+
164
m
+
495
)
(ii)
(
10
m
4
+
21
m
3
+
57
m
2
+
164
m
+
495
)
(iii)
(
11
m
4
+
21
m
3
+
57
m
2
+
164
m
+
495
)
(iv)
(
9
m
4
+
21
m
3
+
57
m
2
+
164
m
+
495
)
(v)
(
7
m
4
+
21
m
3
+
57
m
2
+
164
m
+
495
)
Question
14
14.
The coefficient of term
k
in polynomial
(
−
3
k
−
6
)
is
(i)
-3
(ii)
-6
(iii)
-2
(iv)
0
(v)
-4
Question
15
15.
Which of the following algebraic expressions is a binomial?
(i)
(
−
6
k
4
−
8
k
3
−
5
k
2
−
7
k
+
3
)
(ii)
(
6
k
4
+
1
)
(iii)
(
2
k
3
+
7
k
−
9
)
(iv)
5
k
4
(v)
(
−
9
k
4
+
k
3
+
7
k
2
+
3
k
+
9
)
Question
16
16.
The value of
4
5
t
+
3
5
t
is
(i)
9
5
t
(ii)
7
3
t
(iii)
7
5
t
(iv)
t
Question
17
17.
Which of the following is an irreducible factor of
47
x
5
y
2
z
5
?
(i)
z
(ii)
x
z
4
(iii)
y
2
z
(iv)
x
2
y
(v)
x
2
y
2
z
4
Question
18
18.
The value of
1
2
d
3
e
3
f
3
+
1
2
d
3
e
3
f
3
+
1
2
d
3
e
3
f
3
+
1
2
d
3
e
3
f
3
is
(i)
2
d
3
e
3
f
3
(ii)
4
d
3
e
3
f
3
(iii)
(
−
d
3
e
3
f
3
)
(iv)
3
d
3
e
3
f
3
(v)
d
3
e
3
f
3
Question
19
19.
The value of
(
d
2
e
+
7
d
2
+
4
d
e
2
+
7
e
2
)
+
(
−
9
d
2
e
+
7
d
+
4
e
+
3
)
is
(i)
(
−
8
d
2
e
+
7
d
2
+
4
d
e
2
+
7
d
+
7
e
2
+
4
e
+
3
)
(ii)
(
−
7
d
2
e
+
7
d
2
+
4
d
e
2
+
7
d
+
7
e
2
+
4
e
+
3
)
(iii)
(
−
8
d
2
e
+
9
d
2
+
4
d
e
2
+
7
d
+
7
e
2
+
4
e
+
3
)
(iv)
(
−
8
d
2
e
+
4
d
2
+
4
d
e
2
+
7
d
+
7
e
2
+
4
e
+
3
)
(v)
(
−
9
d
2
e
+
7
d
2
+
4
d
e
2
+
7
d
+
7
e
2
+
4
e
+
3
)
Question
20
20.
The value of
(
−
h
)
✕
(
−
3
g
h
)
✕
9
g
h
✕
g
is
(i)
26
g
3
h
3
(ii)
24
g
3
h
3
(iii)
27
g
3
h
3
(iv)
29
g
3
h
3
(v)
28
g
3
h
3
Question
21
21.
The value of
3
u
5
−
9
u
5
−
(
−
9
u
5
)
is
(i)
u
5
(ii)
3
u
5
(iii)
4
u
5
(iv)
5
u
5
(v)
2
u
5
Question
22
22.
The quotient when
9
z
is divided by
9
is
(i)
0
(ii)
(
−
2
z
)
(iii)
3
z
(iv)
2
z
(v)
z
Question
23
23.
The value of
(
−
7
c
)
✕
(
−
8
c
)
is
(i)
57
c
2
(ii)
55
c
2
(iii)
59
c
2
(iv)
56
c
2
(v)
53
c
2
Question
24
24.
The value of
(
−
9
n
2
−
2
n
)
✕
(
8
n
+
2
)
✕
(
8
n
−
3
)
is
(i)
(
−
574
n
4
−
56
n
3
+
70
n
2
+
12
n
)
(ii)
(
−
575
n
4
−
56
n
3
+
70
n
2
+
12
n
)
(iii)
(
−
578
n
4
−
56
n
3
+
70
n
2
+
12
n
)
(iv)
(
−
576
n
4
−
56
n
3
+
70
n
2
+
12
n
)
(v)
(
−
577
n
4
−
56
n
3
+
70
n
2
+
12
n
)
Question
25
25.
The value of
1
2
u
3
−
1
2
u
3
is
(i)
(
−
2
)
(ii)
0
(iii)
1
(iv)
3
(v)
(
−
1
)
Assignment Key
1) (v)
2) (i)
3) (i)
4) (v)
5) (iv)
6) (iv)
7) (v)
8) (ii)
9) (i)
10) (v)
11) (iv)
12) (iii)
13) (iv)
14) (i)
15) (ii)
16) (iii)
17) (i)
18) (i)
19) (i)
20) (iii)
21) (ii)
22) (v)
23) (iv)
24) (iv)
25) (ii)
