EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Linear Equations in One Variable
Grade : SSC Grade VIII
License : Non Commercial Use
Question
1
1.
Solve :
1
(
x
−
4
)
−
4
(
x
+
4
)
=
−
3
x
(i)
8
3
(ii)
2
(iii)
12
5
(iv)
16
7
(v)
14
5
Question
2
2.
Find the missing angle in the given parallelogram
(i)
146.05°
(ii)
121.05°
(iii)
116.05°
(iv)
126.05°
(v)
131.05°
Question
3
3.
Find the value of 'g' in the following figure
(i)
2
(ii)
4
(iii)
5
(iv)
3
(v)
0
Question
4
4.
A train crosses a telegraph post in 43.56 sec and a bridge 979.27 m long in 65.37 sec. What is the speed of the train?
(i)
42.90 m/sec
(ii)
45.90 m/sec
(iii)
46.90 m/sec
(iv)
44.90 m/sec
(v)
43.90 m/sec
Question
5
5.
Which of the following is a linear equation in two variable?
(i)
(
8
x
2
−
12
x
)
=
0
(ii)
(
8
x
−
3
y
−
2
)
=
0
(iii)
(
3
x
+
7
y
+
7
z
+
6
)
=
0
(iv)
(
21
x
2
−
80
x
y
+
22
x
+
64
y
2
−
16
y
−
8
)
=
0
(v)
(
−
4
x
−
3
)
=
0
Question
6
6.
The work done by (2x) men in (8x + 1) days and work done by (3x + 1) men in (2x + 1) days is in the ratio of 15 : 7 . Find the value of x
(i)
5
(ii)
4
(iii)
2
(iv)
0
(v)
3
Question
7
7.
Which of the following equations is not the same as
(
x
+
9
)
=
(
8
x
−
7
)
(i)
(
x
+
7
)
=
(
8
x
−
5
)
(ii)
(
x
+
8
)
=
(
8
x
−
8
)
(iii)
(
x
+
10
)
=
(
8
x
−
6
)
(iv)
(
x
+
6
)
=
(
8
x
−
10
)
(v)
(
x
+
12
)
=
(
8
x
−
4
)
Question
8
8.
Which of the following equations is the same as
(
−
6
x
+
8
)
=
(
−
4
x
+
9
)
(i)
(
−
7
x
+
11
)
=
(
−
3
x
+
6
)
(ii)
(
−
8
x
+
5
)
=
(
−
2
x
+
12
)
(iii)
(
−
4
x
+
11
)
=
(
−
6
x
+
6
)
(iv)
(
−
8
x
+
5
)
=
(
−
6
x
+
6
)
(v)
(
−
5
x
+
5
)
=
(
−
5
x
+
12
)
Question
9
9.
Which of the following equations is the same as
(
−
6
x
−
6
)
=
(
−
x
−
6
)
(i)
(
−
24
x
−
27
)
=
(
−
4
x
−
24
)
(ii)
(
−
24
x
−
24
)
=
(
−
4
x
−
24
)
(iii)
(
−
24
x
−
24
)
=
(
−
4
x
−
27
)
(iv)
(
−
24
x
−
24
)
=
(
−
4
x
−
21
)
(v)
(
−
24
x
−
21
)
=
(
−
4
x
−
24
)
Question
10
10.
A train crosses a telegraph post in 42.79 sec and a bridge 1322.19 m long in 71.31 sec. What is the length of the train?
(i)
1985.74 m
(ii)
1981.74 m
(iii)
1983.74 m
(iv)
1984.74 m
(v)
1982.74 m
Question
11
11.
Which of the following equations is the same as
(
−
5
x
+
5
)
=
(
−
4
x
)
(i)
(
4
x
−
3
)
=
(
−
13
x
+
8
)
(ii)
(
−
7
x
−
4
)
=
(
−
2
x
+
9
)
(iii)
(
−
14
x
+
13
)
=
(
5
x
−
8
)
(iv)
(
−
3
x
+
14
)
=
(
−
2
x
+
9
)
(v)
(
−
3
x
+
14
)
=
(
−
6
x
−
9
)
Question
12
12.
Which of the following equations is not equivalent to
(
−
9
x
+
9
)
=
(
−
9
)
(i)
(
−
27
x
)
=
(
−
54
)
(ii)
(
−
45
x
)
=
(
−
90
)
(iii)
36
x
=
72
(iv)
(
−
9
x
)
=
(
−
16
)
(v)
(
−
9
x
)
=
(
−
18
)
Question
13
13.
Solve :
(
−
x
−
5
)
2
+
(
x
−
3
)
5
=
(
x
+
5
)
4
(i)
(
-85
11
)
(ii)
(
-101
13
)
(iii)
(
-89
11
)
(iv)
(
-73
9
)
(v)
(
-87
11
)
Question
14
14.
The linear equation
(
x
−
5
y
+
6
)
=
(
−
3
x
+
6
y
+
4
)
is equivalent to
(i)
(
3
x
−
11
y
+
2
)
=
0
(ii)
(
x
−
5
y
+
6
)
=
(
−
3
x
+
9
y
+
4
)
(iii)
(
x
−
5
y
+
6
)
=
(
−
3
x
+
4
y
+
4
)
(iv)
(
5
x
−
11
y
+
2
)
=
0
(v)
(
4
x
−
11
y
+
2
)
=
0
Question
15
15.
Which of the following equations is the same as
(
−
x
+
5
)
=
(
−
1
)
(i)
(
−
4
x
)
=
(
−
3
x
−
6
)
(ii)
(
−
4
x
)
=
(
3
x
+
4
)
(iii)
(
−
4
x
−
2
)
=
(
3
x
+
6
)
(iv)
(
2
x
+
10
)
=
(
−
3
x
−
6
)
(v)
(
2
x
+
12
)
=
(
−
3
x
−
8
)
Question
16
16.
Solve :
(
−
4
x
−
5
)
(
x
+
6
)
=
8
(
−
7
)
(i)
11
20
(ii)
13
22
(iii)
3
4
(iv)
13
20
(v)
13
18
Question
17
17.
The additive inverse of the expression
(
−
8
)
is
(i)
8
(ii)
5
(iii)
7
(iv)
(
−
8
)
(v)
11
Question
18
18.
Which of the following equations is the same as
(
−
6
x
+
8
)
=
0
(i)
(
−
13
x
+
14
)
=
(
7
x
−
6
)
(ii)
(
−
5
x
+
9
)
=
(
−
x
−
1
)
(iii)
(
−
7
x
+
7
)
=
(
x
+
1
)
(iv)
(
x
+
2
)
=
(
−
7
x
+
6
)
(v)
(
x
+
2
)
=
(
7
x
−
6
)
Question
19
19.
In the given figure l ∥ m. Find the value of 'u'
(i)
19
(ii)
22
(iii)
18
(iv)
21
(v)
20
Question
20
20.
A student walks from his house to school at 6.44 kmph and arrives 8.50 min late. The next day he walks at 8.80 kmph and reaches the school 5.30 min before time. What is the distance from his house to school?
(i)
5.53 km
(ii)
7.53 km
(iii)
4.53 km
(iv)
3.53 km
(v)
6.53 km
Question
21
21.
In the given figure l ∥ m. Find the value of 's'
(i)
85°
(ii)
55°
(iii)
70°
(iv)
65°
(v)
60°
Question
22
22.
The ages of A and B are in the ratio 5 : 4. 9 years hence, their ages will be in the ratio 11 : 9. Find their present ages.
(i)
90
:
72
(ii)
85
:
68
(iii)
80
:
64
(iv)
100
:
80
Question
23
23.
Which of the following equations is not the same as
(
4
x
−
9
)
=
(
−
4
)
(i)
(
12
x
−
27
)
=
(
−
12
)
(ii)
(
−
8
x
+
18
)
=
8
(iii)
(
−
12
x
+
27
)
=
12
(iv)
(
8
x
−
18
)
=
(
−
2
)
(v)
(
−
20
x
+
45
)
=
20
Question
24
24.
Which of the following equations is not the same as
(
−
5
x
−
5
)
=
(
−
9
)
(i)
(
−
5
x
−
10
)
=
(
−
14
)
(ii)
(
−
5
x
−
1
)
=
(
−
5
)
(iii)
(
−
5
x
)
=
(
−
4
)
(iv)
(
−
5
x
−
3
)
=
(
−
11
)
(v)
(
−
5
x
−
9
)
=
(
−
13
)
Question
25
25.
Which of the following equations is not the same as
(
−
3
x
−
7
)
=
(
2
x
−
7
)
(i)
(
−
15
x
−
35
)
=
(
10
x
−
35
)
(ii)
(
−
6
x
−
14
)
=
(
4
x
−
14
)
(iii)
(
3
x
+
7
)
=
(
−
2
x
+
7
)
(iv)
(
12
x
+
28
)
=
(
−
8
x
+
28
)
(v)
(
9
x
+
21
)
=
(
2
x
−
10
)
Assignment Key
1) (iii)
2) (iii)
3) (iv)
4) (iv)
5) (ii)
6) (v)
7) (i)
8) (iv)
9) (ii)
10) (iii)
11) (iv)
12) (iv)
13) (v)
14) (v)
15) (i)
16) (iv)
17) (i)
18) (v)
19) (v)
20) (i)
21) (ii)
22) (i)
23) (iv)
24) (iv)
25) (v)
