EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Linear Equations in One Variable
Grade : SSC Grade VIII
License : Non Commercial Use
Question
1
1.
Solve :
8
(
2
x
−
9
)
=
(
−
8
)
(
2
x
−
2
)
(i)
7
2
(ii)
13
4
(iii)
5
2
(iv)
9
4
(v)
11
4
Question
2
2.
Solve :
(
−
x
+
2
)
+
(
−
x
−
3
)
=
(
x
+
5
)
3
(i)
(
-6
7
)
(ii)
(
-10
7
)
(iii)
(
-6
5
)
(iv)
(
-8
7
)
(v)
(
-10
9
)
Question
3
3.
Find the missing angle in the given trapezium
(i)
146.1°
(ii)
116.1°
(iii)
121.1°
(iv)
131.1°
(v)
126.1°
Question
4
4.
Solve the equation
(
−
9
x
)
=
(
−
6
)
(i)
2
5
(ii)
2
(iii)
0
(iv)
4
3
(v)
2
3
Question
5
5.
The R.H.S of the equation
(
9
x
−
1
)
=
(
2
x
−
4
)
is
(i)
(
9
x
−
1
)
(ii)
(
2
x
−
2
)
(iii)
(
2
x
−
4
)
(iv)
(
x
−
4
)
(v)
(
2
x
−
7
)
Question
6
6.
In the given figure l ∥ m. Find the value of 'x'
(i)
13
(ii)
14
(iii)
11
(iv)
16
(v)
12
Question
7
7.
Solve the equation
(
6
x
+
3
)
=
2
(i)
(
-1
2
)
(ii)
1
6
(iii)
(
-1
4
)
(iv)
(
-1
6
)
(v)
(
-1
8
)
Question
8
8.
Solve :
(
4
x
+
3
)
(
7
x
+
6
)
=
(
4
x
+
1
)
(
7
x
−
5
)
(i)
(
-9
10
)
(ii)
(
-7
8
)
(iii)
(
-1
2
)
(iv)
(
-7
12
)
(v)
(
-7
10
)
Question
9
9.
Solve the equation
(
−
5
6
x
−
7
5
)
=
0
(i)
(
-40
23
)
(ii)
(
-42
25
)
(iii)
(
-44
25
)
(iv)
(
-8
5
)
(v)
(
-44
27
)
Question
10
10.
A can do a work in
2
days
.
With the help of B, A can do the same work in
1
5
9
days
.
In how many days can B alone do the work?
(i)
8
days
(ii)
6
days
(iii)
7
days
(iv)
5
days
(v)
9
days
Question
11
11.
Solve the equation
(
−
7
6
x
+
7
3
)
=
7
3
(i)
-1
(ii)
3
(iii)
0
(iv)
-3
(v)
1
Question
12
12.
A student walks from his house to school at 3.56 kmph and arrives 19.00 min late. The next day he walks at 6.57 kmph and reaches the school 6.00 min before time. What is the distance from his house to school?
(i)
5.25 km
(ii)
4.25 km
(iii)
1.25 km
(iv)
3.25 km
(v)
2.25 km
Question
13
13.
The value of
x
in terms of other variables and constant in
(
−
6
x
+
2
)
=
(
4
x
+
3
)
is
(i)
x
=
1
10
(ii)
x
=
(
−
1
10
)
(iii)
x
=
(
−
3
10
)
(iv)
x
=
(
−
1
8
)
(v)
x
=
(
−
1
12
)
Question
14
14.
Which of the following equations is not the same as
(
9
x
+
9
)
=
0
(i)
(
−
9
x
−
9
)
=
(
−
1
)
(ii)
(
−
27
x
−
27
)
=
0
(iii)
(
27
x
+
27
)
=
0
(iv)
(
18
x
+
18
)
=
0
(v)
(
−
45
x
−
45
)
=
0
Question
15
15.
Solve :
−
8
(
x
+
2
)
+
5
(
x
+
3
)
=
−
1
(
x
+
3
)
−
2
(
x
+
5
)
(i)
-4
(ii)
-5
(iii)
-6
(iv)
-3
(v)
-1
Question
16
16.
Which of the following equations is the same as
(
2
x
−
7
)
=
(
−
7
)
(i)
(
−
4
x
+
14
)
=
9
(ii)
(
−
4
x
+
19
)
=
14
(iii)
(
−
4
x
+
9
)
=
14
(iv)
(
−
4
x
+
14
)
=
19
(v)
(
−
4
x
+
14
)
=
14
Question
17
17.
Which of the following equations is equivalent to
(
9
x
−
2
)
=
0
(i)
9
x
=
2
(ii)
9
x
=
4
(iii)
9
x
=
1
(iv)
9
x
=
0
(v)
9
x
=
3
Question
18
18.
Which of the following equations is the same as
(
−
3
x
+
5
)
=
0
(i)
(
−
3
x
+
4
)
=
3
(ii)
(
−
3
x
+
4
)
=
(
−
5
)
(iii)
(
−
3
x
+
4
)
=
(
−
1
)
(iv)
(
−
3
x
+
7
)
=
(
−
1
)
(v)
(
−
3
x
+
1
)
=
(
−
1
)
Question
19
19.
In an examination, the ratio of passes to failures was 3 : 2.
Had 25 less appeared and 20 less passed, the ratio of passes to failures would have been 14 : 11.
How many students appeared for the examination?
(i)
145
(ii)
155
(iii)
150
(iv)
160
(v)
140
Question
20
20.
Which of the following equations is the same as
(
6
x
+
3
)
=
0
(i)
(
6
x
+
7
)
=
2
(ii)
(
6
x
+
4
)
=
4
(iii)
(
6
x
+
7
)
=
6
(iv)
(
6
x
+
10
)
=
4
(v)
(
6
x
+
7
)
=
4
Question
21
21.
The work done by (2x) men in (10x) days and work done by (10x + 1) men in (4x + 1) days is in the ratio of 80 : 189 . Find the value of x
(i)
(-1)
(ii)
2
(iii)
3
(iv)
1
(v)
5
Question
22
22.
Which of the following equations is equivalent to
(
3
x
+
8
)
=
0
(i)
3
x
=
(
−
10
)
(ii)
3
x
=
(
−
7
)
(iii)
3
x
=
(
−
6
)
(iv)
3
x
=
(
−
9
)
(v)
3
x
=
(
−
8
)
Question
23
23.
Solve :
−
9
(
x
+
6
)
−
4
(
x
−
6
)
=
−
13
x
(i)
16
(ii)
78
5
(iii)
76
5
(iv)
108
7
Question
24
24.
A, B and C together can do a work in
1
1
9
days
.
If A and C can do the work in
5
days
and
5
days
respectively,
in how many days can B alone do the work?
(i)
-1
days
(ii)
3
days
(iii)
4
days
(iv)
1
day
(v)
2
days
Question
25
25.
Solve the equation
(
x
−
2
)
=
0
(i)
3
(ii)
4
(iii)
0
(iv)
2
(v)
1
Assignment Key
1) (v)
2) (iv)
3) (ii)
4) (v)
5) (iii)
6) (i)
7) (iv)
8) (v)
9) (ii)
10) (iii)
11) (iii)
12) (iv)
13) (ii)
14) (i)
15) (i)
16) (v)
17) (i)
18) (iii)
19) (iii)
20) (v)
21) (ii)
22) (v)
23) (ii)
24) (v)
25) (iv)
