EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Algebraic Expressions
Grade : ICSE Grade VII
License : Non Commercial Use
Question
1
1.
The value of
4
k
3
−
(
−
7
k
3
)
is
(i)
11
k
3
(ii)
14
k
3
(iii)
9
k
3
(iv)
10
k
3
(v)
12
k
3
Question
2
2.
The product of the terms
y
,
2
,
4
x
y
z
,
(
−
5
)
,
2
is
(i)
(
−
79
x
y
2
z
)
(ii)
(
−
77
x
y
2
z
)
(iii)
(
−
82
x
y
2
z
)
(iv)
(
−
80
x
y
2
z
)
(v)
(
−
81
x
y
2
z
)
Question
3
3.
The value of
4
n
(
3
m
2
n
+
3
m
2
)
is
(i)
(
13
m
2
n
2
+
12
m
2
n
)
(ii)
(
12
m
2
n
2
+
10
m
2
n
)
(iii)
(
12
m
2
n
2
+
12
m
2
n
)
(iv)
(
11
m
2
n
2
+
12
m
2
n
)
(v)
(
12
m
2
n
2
+
15
m
2
n
)
Question
4
4.
(
6
x
3
+
9
x
2
)
÷
3
x
(i)
(
2
x
2
−
3
x
)
(ii)
(
2
x
2
+
4
x
)
(iii)
(
2
x
2
+
3
x
)
(iv)
(
−
2
x
2
+
3
x
)
(v)
(
x
2
+
3
x
)
Question
5
5.
Which of the following is a factor of
2
x
3
y
z
?
(i)
2
x
2
y
2
z
(ii)
2
x
2
z
2
(iii)
2
x
2
z
(iv)
x
4
z
(v)
2
x
3
z
2
Question
6
6.
The quotient when
(
−
3
j
2
+
5
j
−
8
)
is divided by
(
j
+
1
)
is
(i)
8
(ii)
(
−
2
j
+
8
)
(iii)
(
−
4
j
+
8
)
(iv)
(
−
5
j
+
8
)
(v)
(
−
3
j
+
8
)
Question
7
7.
The value of
(
9
b
2
−
7
b
c
2
+
13
b
−
2
c
)
−
(
8
b
2
c
2
−
5
b
c
2
+
6
b
+
9
c
2
)
is
(i)
(
−
7
b
2
c
2
+
9
b
2
−
2
b
c
2
+
7
b
−
9
c
2
−
2
c
)
(ii)
(
−
9
b
2
c
2
+
9
b
2
−
2
b
c
2
+
7
b
−
9
c
2
−
2
c
)
(iii)
(
−
8
b
2
c
2
+
12
b
2
−
2
b
c
2
+
7
b
−
9
c
2
−
2
c
)
(iv)
(
−
8
b
2
c
2
+
9
b
2
−
2
b
c
2
+
7
b
−
9
c
2
−
2
c
)
(v)
(
−
8
b
2
c
2
+
7
b
2
−
2
b
c
2
+
7
b
−
9
c
2
−
2
c
)
Question
8
8.
The remainder when
(
4
x
4
+
5
x
3
−
8
x
−
1
)
is divided by
(
x
+
5
)
is
(i)
1915
(ii)
1911
(iii)
1916
(iv)
1913
(v)
1914
Question
9
9.
(
6
x
4
−
19
x
3
+
7
x
2
+
20
x
−
12
)
÷
(
6
x
3
−
25
x
2
+
32
x
−
12
)
=
(i)
(
x
+
1
)
(ii)
(
x
−
1
)
(iii)
(
2
x
+
1
)
(iv)
(
−
x
+
1
)
(v)
1
Question
10
10.
The value of
5
v
w
x
+
(
−
9
v
w
x
)
is
(i)
(
−
5
v
w
x
)
(ii)
(
−
4
v
w
x
)
(iii)
(
−
2
v
w
x
)
(iv)
(
−
3
v
w
x
)
(v)
(
−
7
v
w
x
)
Question
11
11.
The value of
(
−
7
e
−
4
)
+
(
−
2
e
+
8
)
is
(i)
(
−
10
e
+
4
)
(ii)
(
−
9
e
+
4
)
(iii)
(
−
6
e
+
4
)
(iv)
(
−
11
e
+
4
)
(v)
(
−
8
e
+
4
)
Question
12
12.
The value of
(
−
9
k
2
)
−
(
−
8
k
2
)
−
(
−
9
k
2
)
is
(i)
7
k
2
(ii)
6
k
2
(iii)
11
k
2
(iv)
9
k
2
(v)
8
k
2
Question
13
13.
The degree of the polynomial
(
5
q
2
+
5
q
+
1
)
is
(i)
2
(ii)
(-1)
(iii)
1
(iv)
5
(v)
3
Question
14
14.
The product of the terms
(
−
1
)
,
(
−
3
)
,
2
,
4
,
(
−
1
)
is
(i)
(
−
23
)
(ii)
(
−
21
)
(iii)
(
−
26
)
(iv)
(
−
25
)
(v)
(
−
24
)
Question
15
15.
Which of the following algebraic expressions is a binomial?
(i)
(
−
2
m
3
−
4
)
(ii)
(
6
m
4
−
9
m
3
+
2
m
2
+
3
m
+
9
)
(iii)
(
2
m
4
+
4
m
3
−
7
m
2
−
9
m
+
3
)
(iv)
(
7
m
4
+
7
m
3
+
9
m
)
(v)
m
Question
16
16.
The value of
6
y
−
9
y
is
(i)
(
−
6
y
)
(ii)
(
−
3
y
)
(iii)
(
−
4
y
)
(iv)
(
−
2
y
)
(v)
(
−
y
)
Question
17
17.
The value of
(
8
d
2
e
−
d
e
2
+
6
d
−
8
e
2
)
+
(
5
d
2
e
+
d
2
−
10
d
e
2
−
6
d
e
)
is
(i)
(
14
d
2
e
+
d
2
−
11
d
e
2
−
6
d
e
+
6
d
−
8
e
2
)
(ii)
(
12
d
2
e
+
d
2
−
11
d
e
2
−
6
d
e
+
6
d
−
8
e
2
)
(iii)
(
13
d
2
e
−
2
d
2
−
11
d
e
2
−
6
d
e
+
6
d
−
8
e
2
)
(iv)
(
13
d
2
e
+
3
d
2
−
11
d
e
2
−
6
d
e
+
6
d
−
8
e
2
)
(v)
(
13
d
2
e
+
d
2
−
11
d
e
2
−
6
d
e
+
6
d
−
8
e
2
)
Question
18
18.
Which of the following is not a factor of
27
x
4
y
z
?
(i)
x
4
y
2
z
2
(ii)
x
3
y
z
(iii)
x
4
z
(iv)
x
4
y
Question
19
19.
Which of the following terms can be subtracted from
4
w
?
(i)
(
−
9
v
w
x
)
(ii)
9
x
(iii)
4
(iv)
2
w
(v)
3
w
x
Question
20
20.
The coefficient of term
r
in polynomial
(
9
q
r
+
5
q
+
r
−
1
)
is
(i)
4
(ii)
2
(iii)
1
(iv)
0
(v)
-2
Question
21
21.
The value of
(
2
b
3
+
5
b
2
−
5
b
)
−
(
−
4
b
4
+
4
b
3
+
8
b
)
is
(i)
(
b
4
−
2
b
3
+
5
b
2
−
13
b
)
(ii)
(
4
b
4
−
2
b
3
+
5
b
2
−
13
b
)
(iii)
(
5
b
4
−
2
b
3
+
5
b
2
−
13
b
)
(iv)
(
3
b
4
−
2
b
3
+
5
b
2
−
13
b
)
(v)
(
6
b
4
−
2
b
3
+
5
b
2
−
13
b
)
Question
22
22.
The value of
1
2
c
2
d
2
e
2
−
1
5
c
2
d
2
e
2
−
1
2
c
2
d
2
e
2
−
2
3
c
2
d
2
e
2
is
(i)
(
−
13
15
c
2
d
2
e
2
)
(ii)
(
−
13
17
c
2
d
2
e
2
)
(iii)
(
−
c
2
d
2
e
2
)
(iv)
(
−
11
15
c
2
d
2
e
2
)
Question
23
23.
The value of
(
−
6
s
4
)
+
3
s
4
+
(
−
2
s
4
)
+
3
s
4
is
(i)
(
−
4
s
4
)
(ii)
0
(iii)
(
−
3
s
4
)
(iv)
(
−
s
4
)
(v)
(
−
2
s
4
)
Question
24
24.
Which of the following is an irreducible factor of
6
x
y
z
5
?
(i)
y
z
(ii)
z
(iii)
x
y
z
4
(iv)
x
z
4
(v)
x
y
Question
25
25.
The value of
(
−
2
g
2
)
+
2
g
2
+
5
g
2
is
(i)
6
g
2
(ii)
8
g
2
(iii)
3
g
2
(iv)
5
g
2
(v)
4
g
2
Assignment Key
1) (i)
2) (iv)
3) (iii)
4) (iii)
5) (iii)
6) (v)
7) (iv)
8) (v)
9) (i)
10) (ii)
11) (ii)
12) (v)
13) (i)
14) (v)
15) (i)
16) (ii)
17) (v)
18) (i)
19) (iv)
20) (iii)
21) (ii)
22) (i)
23) (v)
24) (ii)
25) (iv)
