EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Algebraic Expressions
Grade : ICSE Grade VII
License : Non Commercial Use
Question
1
1.
Which of the following algebraic expressions is a zero polynomial?
(i)
(
−
9
g
4
−
6
g
3
−
3
g
2
+
5
g
+
4
)
(ii)
0
(iii)
(
9
g
4
+
6
g
3
)
(iv)
(
−
5
g
)
(v)
(
8
g
4
+
7
g
3
+
4
)
Question
2
2.
Which of the following terms is a like term of
(
−
6
y
)
?
(i)
(
−
8
y
3
)
(ii)
5
y
(iii)
9
y
2
(iv)
(
−
6
y
4
)
(v)
(
−
3
)
Question
3
3.
Find the remainder when
(
2
x
2
−
x
−
15
)
is divided by
(
2
x
+
3
)
(i)
-6
(ii)
-12
(iii)
-10
(iv)
-9
(v)
-8
Question
4
4.
The quotient when
(
−
2
e
+
6
)
is divided by
(
e
−
4
)
is
(i)
(
−
2
)
(ii)
(
−
1
)
(iii)
(
−
3
)
(iv)
0
(v)
(
−
5
)
Question
5
5.
Which of the following terms can be subtracted from
(
−
2
c
4
)
?
(i)
6
c
3
(ii)
5
(iii)
(
−
c
)
(iv)
(
−
3
c
2
)
(v)
2
c
4
Question
6
6.
The value of
1
5
x
5
−
1
3
x
5
−
2
3
x
5
is
(i)
(
−
2
5
x
5
)
(ii)
(
−
4
3
x
5
)
(iii)
(
−
4
7
x
5
)
(iv)
(
−
6
5
x
5
)
(v)
(
−
4
5
x
5
)
Question
7
7.
The constant term in polynomial
(
−
8
p
3
−
8
p
2
+
8
p
+
1
)
is
(i)
-2
(ii)
2
(iii)
4
(iv)
0
(v)
1
Question
8
8.
Which of the following are polynomials?
a)
(
x
+
y
)
(
x
−
y
)
b)
(
x
+
y
)
c)
x
2
+
1
x
2
d)
x
+
1
x
e)
x
2
(i)
{c,e,b}
(ii)
{c,e}
(iii)
{a,b}
(iv)
{b,e}
(v)
{d,a,b}
Question
9
9.
The value of
9
g
2
h
2
+
2
g
2
h
2
+
g
2
h
2
+
(
−
2
g
2
h
2
)
is
(i)
11
g
2
h
2
(ii)
10
g
2
h
2
(iii)
7
g
2
h
2
(iv)
12
g
2
h
2
(v)
9
g
2
h
2
Question
10
10.
Which of the following terms can be added to
(
−
3
z
4
)
?
(i)
4
z
3
(ii)
5
z
(iii)
(
−
5
)
(iv)
2
z
2
(v)
(
−
6
z
4
)
Question
11
11.
The value of
1
4
h
i
(
2
3
g
h
i
+
1
2
i
2
)
is
(i)
(
1
6
g
h
2
i
2
+
3
8
h
i
3
)
(ii)
(
1
8
g
h
2
i
2
+
1
8
h
i
3
)
(iii)
(
1
6
g
h
2
i
2
−
1
8
h
i
3
)
(iv)
(
1
4
g
h
2
i
2
+
1
8
h
i
3
)
(v)
(
1
6
g
h
2
i
2
+
1
8
h
i
3
)
Question
12
12.
Which of the following is a like term of
4
d
e
2
?
(i)
4
d
2
(ii)
(
−
3
d
e
2
)
(iii)
(
−
2
e
)
(iv)
(
−
3
e
2
)
(v)
6
Question
13
13.
Which of the following terms can be added to
(
−
7
h
2
i
2
)
?
(i)
(
−
2
)
(ii)
4
g
2
h
i
2
(iii)
8
h
2
i
2
(iv)
(
−
9
g
h
2
i
)
(v)
(
−
9
g
2
)
Question
14
14.
The quotient when
2
h
is divided by
(
−
1
)
is
(i)
h
(ii)
(
−
h
)
(iii)
(
−
2
h
)
(iv)
(
−
4
h
)
(v)
(
−
3
h
)
Question
15
15.
The sum of the expressions
(
6
c
−
2
)
,
(
2
d
+
2
)
,
(
5
c
d
−
4
)
,
(
c
d
+
4
c
)
,
(
5
c
d
+
9
d
)
is
(i)
(
12
c
d
+
10
c
+
11
d
−
4
)
(ii)
(
11
c
d
+
7
c
+
11
d
−
4
)
(iii)
(
11
c
d
+
13
c
+
11
d
−
4
)
(iv)
(
11
c
d
+
10
c
+
11
d
−
4
)
(v)
(
10
c
d
+
10
c
+
11
d
−
4
)
Question
16
16.
The value of
1
5
q
2
+
3
4
q
2
+
1
4
q
2
is
(i)
8
5
q
2
(ii)
6
7
q
2
(iii)
6
5
q
2
(iv)
2
q
2
(v)
4
5
q
2
Question
17
17.
Which of the following are not polynomials?
a)
9
x
2
b)
9
x
2
+
1
9
x
2
c)
(
5
x
−
5
y
)
d)
(
8
x
+
11
y
)
e)
√x
(i)
{a,b}
(ii)
{c,e}
(iii)
{c,e,b}
(iv)
{d,a,b}
(v)
{b,e}
Question
18
18.
Which of the following terms can be subtracted from
6
e
2
f
2
d
?
(i)
4
d
e
2
f
(ii)
(
−
4
d
e
2
f
2
)
(iii)
2
d
2
e
f
2
(iv)
6
d
e
f
(v)
7
d
2
e
2
f
2
Question
19
19.
The degree of polynomial
(
−
7
p
2
q
2
+
7
p
2
r
+
4
p
r
−
5
q
2
r
2
−
7
q
2
r
)
is
(i)
5
(ii)
3
(iii)
6
(iv)
2
(v)
4
Question
20
20.
The value of
(
7
q
r
+
7
r
)
✕
(
6
q
+
16
r
)
✕
(
−
r
−
9
)
is
(i)
(
−
41
q
2
r
2
−
378
q
2
r
−
112
q
r
3
−
1050
q
r
2
−
378
q
r
−
112
r
3
−
1008
r
2
)
(ii)
(
−
42
q
2
r
2
−
378
q
2
r
−
112
q
r
3
−
1050
q
r
2
−
378
q
r
−
112
r
3
−
1008
r
2
)
(iii)
(
−
42
q
2
r
2
−
381
q
2
r
−
112
q
r
3
−
1050
q
r
2
−
378
q
r
−
112
r
3
−
1008
r
2
)
(iv)
(
−
43
q
2
r
2
−
378
q
2
r
−
112
q
r
3
−
1050
q
r
2
−
378
q
r
−
112
r
3
−
1008
r
2
)
(v)
(
−
42
q
2
r
2
−
376
q
2
r
−
112
q
r
3
−
1050
q
r
2
−
378
q
r
−
112
r
3
−
1008
r
2
)
Question
21
21.
The value of
(
−
9
y
2
+
y
+
2
)
−
(
−
4
y
2
−
7
y
−
9
)
is
(i)
(
−
3
y
2
+
8
y
+
11
)
(ii)
(
−
7
y
2
+
8
y
+
11
)
(iii)
(
−
6
y
2
+
8
y
+
11
)
(iv)
(
−
4
y
2
+
8
y
+
11
)
(v)
(
−
5
y
2
+
8
y
+
11
)
Question
22
22.
The value of
1
2
e
✕
1
5
f
✕
1
4
f
✕
1
4
d
e
f
is
(i)
1
160
d
e
2
f
3
(ii)
3
160
d
e
2
f
3
(iii)
(
−
1
160
d
e
2
f
3
)
(iv)
1
162
d
e
2
f
3
(v)
1
158
d
e
2
f
3
Question
23
23.
The value of
(
−
5
w
2
−
8
w
−
4
)
+
(
7
w
2
+
5
w
−
1
)
is
(i)
(
−
w
2
−
3
w
−
5
)
(ii)
(
4
w
2
−
3
w
−
5
)
(iii)
(
3
w
2
−
3
w
−
5
)
(iv)
(
2
w
2
−
3
w
−
5
)
(v)
(
w
2
−
3
w
−
5
)
Question
24
24.
The value of
i
2
j
2
k
2
−
7
i
2
j
2
k
2
is
(i)
(
−
5
i
2
j
2
k
2
)
(ii)
(
−
6
i
2
j
2
k
2
)
(iii)
(
−
7
i
2
j
2
k
2
)
(iv)
(
−
3
i
2
j
2
k
2
)
(v)
(
−
8
i
2
j
2
k
2
)
Question
25
25.
The value of
(
−
l
)
(
−
5
k
l
m
−
2
m
)
is
(i)
(
4
k
l
2
m
+
2
l
m
)
(ii)
(
6
k
l
2
m
+
2
l
m
)
(iii)
(
5
k
l
2
m
+
4
l
m
)
(iv)
(
5
k
l
2
m
−
l
m
)
(v)
(
5
k
l
2
m
+
2
l
m
)
Assignment Key
1) (ii)
2) (ii)
3) (iv)
4) (i)
5) (v)
6) (v)
7) (v)
8) (iv)
9) (ii)
10) (v)
11) (v)
12) (ii)
13) (iii)
14) (iii)
15) (iv)
16) (iii)
17) (v)
18) (ii)
19) (v)
20) (ii)
21) (v)
22) (i)
23) (iv)
24) (ii)
25) (v)