EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Algebraic Expressions
Grade : ICSE Grade VII
License : Non Commercial Use
Question
1
1.
(
−
12
x
5
−
44
x
4
−
36
x
3
+
28
x
2
+
48
x
+
16
)
divided by
(
−
6
x
3
−
16
x
2
−
14
x
−
4
)
=
(i)
(
2
x
2
−
2
x
−
4
)
(ii)
(
2
x
2
+
3
x
−
4
)
(iii)
(
2
x
2
+
2
x
+
4
)
(iv)
(
2
x
2
+
x
−
4
)
(v)
(
2
x
2
+
2
x
−
4
)
Question
2
2.
The value of
(
5
m
−
5
)
✕
(
−
7
m
+
9
)
is
(i)
(
−
34
m
2
+
80
m
−
45
)
(ii)
(
−
36
m
2
+
80
m
−
45
)
(iii)
(
−
35
m
2
+
80
m
−
45
)
(iv)
(
−
35
m
2
+
78
m
−
45
)
(v)
(
−
35
m
2
+
83
m
−
45
)
Question
3
3.
The value of
1
2
s
2
+
3
4
s
2
+
1
2
s
2
is
(i)
3
2
s
2
(ii)
5
2
s
2
(iii)
5
4
s
2
(iv)
9
4
s
2
(v)
7
4
s
2
Question
4
4.
The quotient when
(
−
4
n
5
−
6
n
4
+
7
n
3
−
9
n
2
−
2
n
+
5
)
is divided by
(
n
+
4
)
is
(i)
(
−
4
n
4
+
10
n
3
−
33
n
2
+
123
n
−
494
)
(ii)
(
−
5
n
4
+
10
n
3
−
33
n
2
+
123
n
−
494
)
(iii)
(
−
n
4
+
10
n
3
−
33
n
2
+
123
n
−
494
)
(iv)
(
−
7
n
4
+
10
n
3
−
33
n
2
+
123
n
−
494
)
(v)
(
−
3
n
4
+
10
n
3
−
33
n
2
+
123
n
−
494
)
Question
5
5.
The constant term in polynomial
(
g
+
5
)
is
(i)
4
(ii)
8
(iii)
6
(iv)
5
(v)
2
Question
6
6.
Which of the following terms is a like term of
2
z
?
(i)
6
z
3
(ii)
(
−
z
2
)
(iii)
(
−
5
z
)
(iv)
(
−
2
z
4
)
(v)
7
Question
7
7.
The sum of the expressions
(
−
s
−
8
t
−
5
)
,
(
−
7
s
t
+
8
t
+
8
)
,
(
−
5
s
t
+
6
s
−
1
)
,
(
8
s
t
+
3
s
−
3
t
)
,
(
−
5
s
+
9
t
+
4
)
is
(i)
(
−
5
s
t
+
3
s
+
6
t
+
6
)
(ii)
(
−
3
s
t
+
3
s
+
6
t
+
6
)
(iii)
(
−
4
s
t
+
s
+
6
t
+
6
)
(iv)
(
−
4
s
t
+
5
s
+
6
t
+
6
)
(v)
(
−
4
s
t
+
3
s
+
6
t
+
6
)
Question
8
8.
Which of the following algebraic expressions is a trinomial?
(i)
(
2
g
3
h
3
i
2
−
g
3
i
3
−
5
g
h
i
3
−
6
i
)
(ii)
(
−
4
g
3
h
3
i
−
3
g
3
h
i
−
7
g
h
3
i
3
)
(iii)
(
2
g
2
h
3
i
+
5
g
2
i
3
+
g
i
+
8
h
3
i
)
(iv)
(
−
4
g
3
i
2
+
7
g
2
i
3
)
(v)
6
g
3
h
2
i
3
Question
9
9.
The remainder when
(
7
y
2
−
6
y
−
8
)
is divided by
(
y
+
8
)
is
(i)
486
(ii)
488
(iii)
489
(iv)
491
(v)
487
Question
10
10.
Which of the following is a factor of
(
11
x
3
+
y
5
z
5
)
?
(i)
11
x
3
(ii)
y
(iii)
x
3
z
3
(iv)
y
5
z
5
(v)
no factors
Question
11
11.
The value of
(
6
f
5
−
6
f
3
−
f
)
+
(
−
2
f
3
−
6
f
2
+
f
)
is
(i)
(
8
f
5
−
8
f
3
−
6
f
2
)
(ii)
(
6
f
5
−
8
f
3
−
6
f
2
)
(iii)
(
3
f
5
−
8
f
3
−
6
f
2
)
(iv)
(
5
f
5
−
8
f
3
−
6
f
2
)
(v)
(
7
f
5
−
8
f
3
−
6
f
2
)
Question
12
12.
The remainder when
(
2
g
+
2
)
is divided by
(
g
−
1
)
is
(i)
4
(ii)
6
(iii)
2
(iv)
3
(v)
5
Question
13
13.
The value of
2
d
✕
4
✕
(
−
4
)
✕
(
−
4
d
)
is
(i)
127
d
2
(ii)
126
d
2
(iii)
128
d
2
(iv)
129
d
2
(v)
130
d
2
Question
14
14.
Find the remainder when
(
6
x
2
+
2
x
−
48
)
is divided by
(
2
x
−
3
)
(i)
(
-63
2
)
(ii)
-32
(iii)
(
-61
2
)
(iv)
(
-125
4
)
(v)
(
-65
2
)
Question
15
15.
Which of the following is a like term of
2
l
m
n
?
(i)
3
l
n
(ii)
7
l
m
n
(iii)
9
(iv)
2
m
(v)
8
n
Question
16
16.
The value of
4
5
i
2
j
2
+
3
4
i
2
j
2
+
1
2
i
2
j
2
+
3
4
i
2
j
2
is
(i)
16
5
i
2
j
2
(ii)
18
7
i
2
j
2
(iii)
14
5
i
2
j
2
(iv)
10
3
i
2
j
2
(v)
12
5
i
2
j
2
Question
17
17.
The constant term in polynomial
(
−
4
s
2
t
u
2
+
9
s
t
u
2
+
3
s
u
2
−
7
t
u
−
6
)
is
(i)
-6
(ii)
-5
(iii)
-8
(iv)
-7
(v)
-4
Question
18
18.
The product of the terms
(
−
5
j
)
,
5
i
j
,
4
,
(
−
3
)
,
(
−
3
)
is
(i)
(
−
901
i
j
2
)
(ii)
(
−
899
i
j
2
)
(iii)
(
−
897
i
j
2
)
(iv)
(
−
900
i
j
2
)
(v)
(
−
903
i
j
2
)
Question
19
19.
The value of
(
−
9
j
3
)
−
(
−
5
j
3
)
is
(i)
(
−
7
j
3
)
(ii)
(
−
4
j
3
)
(iii)
(
−
5
j
3
)
(iv)
(
−
2
j
3
)
(v)
(
−
3
j
3
)
Question
20
20.
The remainder when
(
3
w
2
+
8
w
)
is divided by
(
w
−
8
)
is
(i)
253
(ii)
256
(iii)
257
(iv)
255
(v)
258
Question
21
21.
The remainder when
(
q
3
−
4
q
2
−
8
q
)
is divided by
(
q
−
5
)
is
(i)
(
−
13
)
(ii)
(
−
16
)
(iii)
(
−
14
)
(iv)
(
−
15
)
(v)
(
−
18
)
Question
22
22.
The value of
(
−
3
l
3
m
3
n
3
)
+
6
l
3
m
3
n
3
+
(
−
2
l
3
m
3
n
3
)
+
(
−
l
3
m
3
n
3
)
is
(i)
(
−
2
)
(ii)
1
(iii)
0
(iv)
(
−
1
)
(v)
2
Question
23
23.
The product of the terms
(
−
2
x
)
,
(
−
4
z
)
,
x
,
(
−
1
)
,
4
is
(i)
(
−
32
x
2
z
)
(ii)
(
−
33
x
2
z
)
(iii)
(
−
31
x
2
z
)
(iv)
(
−
34
x
2
z
)
(v)
(
−
30
x
2
z
)
Question
24
24.
The value of
1
2
v
✕
3
4
v
✕
1
4
v
✕
2
5
v
is
(i)
3
82
v
4
(ii)
3
80
v
4
(iii)
1
26
v
4
(iv)
1
16
v
4
(v)
1
80
v
4
Question
25
25.
The constant term in polynomial
(
8
h
3
−
6
h
2
+
9
h
+
4
)
is
(i)
7
(ii)
3
(iii)
2
(iv)
5
(v)
4
Assignment Key
1) (v)
2) (iii)
3) (v)
4) (i)
5) (iv)
6) (iii)
7) (v)
8) (ii)
9) (ii)
10) (v)
11) (ii)
12) (i)
13) (iii)
14) (i)
15) (ii)
16) (iii)
17) (i)
18) (iv)
19) (ii)
20) (ii)
21) (iv)
22) (iii)
23) (i)
24) (ii)
25) (v)