EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Linear Equations in One Variable
Grade : SSC Grade VIII
License : Non Commercial Use
Question
1
1.
Solve the equation
5
x
=
3
(i)
1
(ii)
3
5
(iii)
3
7
(iv)
1
5
Question
2
2.
The R.H.S of the equation
(
−
7
x
+
4
)
=
(
7
x
+
1
)
is
(i)
(
7
x
+
1
)
(ii)
(
7
x
−
2
)
(iii)
(
−
7
x
+
4
)
(iv)
(
7
x
+
4
)
(v)
(
6
x
+
1
)
Question
3
3.
Find the missing angle in the given rhombus
(i)
132.57°
(ii)
117.57°
(iii)
102.57°
(iv)
112.57°
(v)
107.57°
Question
4
4.
The linear equation
(
−
x
−
7
)
=
(
−
2
x
+
3
)
is equivalent to
(i)
(
2
x
−
10
)
=
0
(ii)
(
−
10
)
=
0
(iii)
(
−
x
−
7
)
=
(
−
2
x
+
6
)
(iv)
(
−
x
−
7
)
=
(
−
2
x
+
1
)
(v)
(
x
−
10
)
=
0
Question
5
5.
Which of the following is a linear equation in three variable?
(i)
(
−
6
x
2
+
33
x
y
+
38
x
+
63
y
2
+
91
y
+
28
)
=
0
(ii)
(
−
6
x
+
6
y
+
4
)
=
(
3
x
−
5
y
−
9
)
(iii)
(
−
6
x
2
−
13
x
−
5
)
=
(
7
x
+
7
)
(iv)
(
−
6
x
+
4
)
=
(
2
x
+
7
)
(v)
(
x
+
5
y
−
6
z
+
8
)
=
(
9
x
−
2
y
+
8
z
+
3
)
Question
6
6.
Which of the following equations is equivalent to
(
x
−
1
)
=
0
(i)
x
=
5
(ii)
x
=
(
−
2
)
(iii)
x
=
1
(iv)
x
=
(
−
3
)
(v)
x
=
4
Question
7
7.
Which of the following is a linear equation in one variable?
(i)
(
36
x
2
+
33
x
+
6
)
=
0
(ii)
(
9
x
2
−
72
x
y
−
6
x
+
63
y
2
−
12
y
−
3
)
=
0
(iii)
(
−
2
x
+
3
)
=
0
(iv)
(
−
x
+
6
y
−
5
z
−
5
)
=
0
(v)
(
−
8
x
+
5
y
+
5
)
=
0
Question
8
8.
Which of the following equations is the same as
(
−
6
x
+
7
)
=
9
(i)
(
12
x
−
14
)
=
(
−
23
)
(ii)
(
12
x
−
15
)
=
(
−
18
)
(iii)
(
12
x
−
14
)
=
(
−
13
)
(iv)
(
12
x
−
13
)
=
(
−
18
)
(v)
(
12
x
−
14
)
=
(
−
18
)
Question
9
9.
Two numbers are in the ratio 7 : 3 and their difference is 84. Find the numbers.
(i)
147,61
(ii)
147,63
(iii)
148,63
(iv)
147,65
(v)
146,63
Question
10
10.
In a company, the number of engineers to managers is in the ratio 7 : 5 . After a year, when 20 engineers and 15 managers left, the ratio between engineers to managers is 80 : 57 . Find the number of engineers and managers at the beginning?
(i)
730
(ii)
740
(iii)
720
(iv)
700
(v)
710
Question
11
11.
Which of the following equations is not the same as
(
−
5
x
−
8
)
=
0
(i)
(
−
4
x
−
10
)
=
(
−
x
+
2
)
(ii)
(
−
14
x
−
6
)
=
(
−
9
x
+
2
)
(iii)
(
4
x
−
10
)
=
(
9
x
−
2
)
(iv)
(
−
4
x
−
10
)
=
(
x
−
2
)
(v)
(
−
6
x
−
6
)
=
(
−
x
+
2
)
Question
12
12.
Find the missing angle in the given parallelogram
(i)
51.52°
(ii)
81.52°
(iii)
66.52°
(iv)
56.52°
(v)
61.52°
Question
13
13.
Solve :
(
−
2
x
−
1
)
2
+
(
−
x
)
12
=
(
2
x
+
4
)
(i)
(
-56
37
)
(ii)
(
-54
37
)
(iii)
(
-52
35
)
(iv)
(
-52
37
)
(v)
(
-56
39
)
Question
14
14.
Which of the following equations is not the same as
(
9
x
−
2
)
=
7
(i)
(
6
x
−
4
)
=
(
3
x
+
9
)
(ii)
(
−
6
)
=
(
−
9
x
+
3
)
(iii)
(
18
x
+
2
)
=
(
9
x
+
11
)
(iv)
12
x
=
(
3
x
+
9
)
(v)
(
6
x
−
4
)
=
(
−
3
x
+
5
)
Question
15
15.
Which of the following equations is not the same as
(
8
x
+
2
)
=
3
(i)
(
2
x
+
9
)
=
(
−
6
x
+
10
)
(ii)
(
10
x
+
5
)
=
(
2
x
+
6
)
(iii)
(
6
x
−
1
)
=
(
−
2
x
)
(iv)
(
14
x
−
5
)
=
(
6
x
−
4
)
(v)
(
2
x
+
9
)
=
(
6
x
−
4
)
Question
16
16.
A can do a work in
6
days
.
With the help of B, A can do the same work in
2
8
11
days
.
In how many days can B alone do the work?
(i)
4
days
(ii)
6
days
(iii)
3
days
(iv)
5
days
(v)
8
days
Question
17
17.
Solve the equation
(
−
3
x
−
6
)
=
(
5
x
+
1
)
(i)
(
-5
8
)
(ii)
(
-7
8
)
(iii)
(
-9
8
)
(iv)
(
-7
10
)
(v)
(
-7
6
)
Question
18
18.
Which of the following equations is the same as
(
−
9
x
−
2
)
=
(
3
x
+
3
)
(i)
(
−
9
x
−
6
)
=
(
3
x
−
1
)
(ii)
(
−
9
x
−
6
)
=
(
3
x
+
4
)
(iii)
(
−
9
x
−
6
)
=
(
3
x
−
6
)
(iv)
(
−
9
x
−
3
)
=
(
3
x
−
1
)
(v)
(
−
9
x
−
9
)
=
(
3
x
−
1
)
Question
19
19.
Which of the following equations is the same as
(
5
x
−
4
)
=
(
−
9
x
+
1
)
(i)
(
6
x
−
4
)
=
(
−
10
x
+
1
)
(ii)
(
4
x
−
4
)
=
(
−
8
x
+
1
)
(iii)
(
−
5
)
=
(
−
4
x
+
2
)
(iv)
(
4
x
−
4
)
=
(
−
10
x
+
1
)
(v)
(
10
x
−
3
)
=
(
−
14
x
)
Question
20
20.
Find the missing angle in the given trapezium
(i)
99.25°
(ii)
114.25°
(iii)
129.25°
(iv)
104.25°
(v)
109.25°
Question
21
21.
The ratio of males to females in a committee of 80 members is 3 : 1. How many more ladies should be added to the committee so that the ratio of males to females is 15 : 19?
(i)
53
(ii)
56
(iii)
55
(iv)
59
(v)
57
Question
22
22.
Which of the following equations is not the same as
(
−
4
x
−
9
)
=
(
4
x
−
1
)
(i)
(
−
4
x
−
5
)
=
(
4
x
−
5
)
(ii)
(
−
4
x
−
12
)
=
(
4
x
−
4
)
(iii)
(
−
4
x
−
10
)
=
(
4
x
−
2
)
(iv)
(
−
4
x
−
8
)
=
4
x
(v)
(
−
4
x
−
6
)
=
(
4
x
+
2
)
Question
23
23.
Which of the following equations is not the same as
3
x
=
9
(i)
(
−
15
x
)
=
(
−
45
)
(ii)
12
x
=
13
(iii)
(
−
3
x
)
=
(
−
9
)
(iv)
(
−
12
x
)
=
(
−
36
)
(v)
(
−
9
x
)
=
(
−
27
)
Question
24
24.
A, B and C together can do a work in
1
13
47
days
.
If A and C can do the work in
5
days
and
3
days
respectively,
in how many days can B alone do the work?
(i)
3
days
(ii)
5
days
(iii)
2
days
(iv)
4
days
(v)
6
days
Question
25
25.
The R.H.S of the equation
(
x
−
5
)
=
(
−
1
)
is
(i)
(
−
4
)
(ii)
(
x
−
5
)
(iii)
(
−
1
)
(iv)
(
−
2
)
(v)
2
Assignment Key
1) (ii)
2) (i)
3) (iii)
4) (v)
5) (v)
6) (iii)
7) (iii)
8) (v)
9) (ii)
10) (iii)
11) (i)
12) (i)
13) (ii)
14) (i)
15) (v)
16) (iv)
17) (ii)
18) (i)
19) (iv)
20) (i)
21) (ii)
22) (i)
23) (ii)
24) (iv)
25) (iii)
