EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Linear Equations in One Variable
Grade : SSC Grade VIII
License : Non Commercial Use
Question
1
1.
Which of the following equations is not equivalent to
(
−
2
x
−
9
)
=
(
−
6
)
(i)
(
−
2
x
)
=
2
(ii)
6
x
=
(
−
9
)
(iii)
(
−
2
x
)
=
3
(iv)
(
−
10
x
)
=
15
(v)
(
−
8
x
)
=
12
Question
2
2.
Which of the following is a linear equation in two variable?
(i)
(
8
x
−
5
y
+
9
z
−
7
)
=
0
(ii)
(
−
8
x
−
3
)
=
0
(iii)
(
−
8
x
−
2
y
−
9
)
=
0
(iv)
(
16
x
2
−
42
x
−
49
)
=
0
(v)
(
−
9
x
2
+
8
x
y
−
45
x
+
y
2
−
15
y
+
54
)
=
0
Question
3
3.
Solve the equation
(
−
8
3
x
+
7
6
)
=
0
(i)
7
18
(ii)
1
2
(iii)
9
16
(iv)
7
16
(v)
5
16
Question
4
4.
In the given figure l ∥ m. Find the value of 'w'
(i)
88°
(ii)
58°
(iii)
63°
(iv)
73°
(v)
68°
Question
5
5.
A can do
8
11
of a work in
8
hr
.
He works for
4
hr
when B joins him.
They work together and complete the work in
4
1
26
hr
.
In how much time, B alone can do the work?
(i)
14
hr
(ii)
18
hr
(iii)
13
hr
(iv)
16
hr
(v)
15
hr
Question
6
6.
An office contains 560 employees of 4 types. The managers, team leaders, developers and testers are in the ratio 2 : 7 : 6 : 1. The number of managers in the office =
(i)
71
(ii)
69
(iii)
70
(iv)
68
(v)
73
Question
7
7.
The sides of a triangle are in the ratio
1
6
:
1
2
:
1
4
and its perimeter is
187 cm
.
Find the lengths of the sides of the triangle
(i)
34
cm
:
102
cm
:
51
cm
(ii)
39
cm
:
97
cm
:
51
cm
(iii)
29
cm
:
107
cm
:
51
cm
(iv)
29
cm
:
102
cm
:
56
cm
(v)
39
cm
:
102
cm
:
46
cm
Question
8
8.
Solve the equation
(
−
6
x
+
5
)
=
0
(i)
1
2
(ii)
7
6
(iii)
5
8
(iv)
5
6
(v)
5
4
Question
9
9.
Which of the following equations is not the same as
(
−
5
x
−
9
)
=
(
9
x
−
5
)
(i)
(
15
x
+
27
)
=
(
−
27
x
+
15
)
(ii)
(
5
x
+
9
)
=
(
−
9
x
+
5
)
(iii)
(
−
25
x
−
45
)
=
(
45
x
−
25
)
(iv)
(
10
x
+
18
)
=
(
9
x
−
7
)
(v)
(
−
20
x
−
36
)
=
(
36
x
−
20
)
Question
10
10.
Which of the following is a linear equation in two variable?
(i)
(
6
x
2
−
23
x
+
15
)
=
(
3
x
+
3
)
(ii)
(
−
4
x
+
8
y
+
9
)
=
(
−
9
x
−
7
y
+
8
)
(iii)
(
32
x
2
+
28
x
y
−
56
x
−
49
y
2
+
28
y
+
12
)
=
0
(iv)
(
−
9
x
−
7
y
−
6
z
−
3
)
=
(
−
3
x
+
3
y
−
8
z
+
6
)
(v)
(
−
x
−
5
)
=
(
−
6
x
−
7
)
Question
11
11.
Which of the following equations is equivalent to
(
−
x
+
4
)
=
(
−
8
x
+
1
)
(i)
7
x
=
0
(ii)
7
x
=
(
−
8
)
(iii)
7
x
=
(
−
6
)
(iv)
7
x
=
(
−
3
)
(v)
7
x
=
2
Question
12
12.
Which of the following equations is not the same as
(
5
x
−
8
)
=
(
−
x
−
5
)
(i)
(
5
x
−
10
)
=
(
−
x
−
7
)
(ii)
(
5
x
−
13
)
=
(
−
x
)
(iii)
(
5
x
−
7
)
=
(
−
x
−
4
)
(iv)
(
5
x
−
9
)
=
(
−
x
−
6
)
(v)
(
5
x
−
6
)
=
(
−
x
−
3
)
Question
13
13.
Solve the equation
(
6
5
x
−
4
9
)
=
(
−
2
7
)
(i)
23
189
(ii)
25
189
(iii)
25
187
(iv)
1
7
(v)
25
191
Question
14
14.
Which of the following is a linear equation in one variable?
(i)
(
−
72
x
2
−
110
x
y
−
112
x
−
42
y
2
−
86
y
−
40
)
=
0
(ii)
(
28
x
2
−
88
x
+
64
)
=
(
8
x
+
4
)
(iii)
(
−
9
x
+
3
y
+
z
−
8
)
=
(
−
2
x
−
2
y
−
9
z
−
3
)
(iv)
(
2
x
−
3
y
−
8
)
=
(
3
x
+
y
)
(v)
(
8
x
+
3
)
=
(
−
x
+
4
)
Question
15
15.
Solve :
(
5
x
+
4
)
+
(
3
x
−
1
)
4
=
(
4
x
+
3
)
2
(i)
-1
(ii)
(
-3
7
)
(iii)
(
-3
5
)
(iv)
(
-1
5
)
Question
16
16.
A student walks from his house to school at 5.77 kmph and arrives 21.20 min late. The next day he walks at 10.73 kmph and reaches the school 1.50 min before time. What is the distance from his house to school?
(i)
4.72 km
(ii)
2.72 km
(iii)
3.72 km
(iv)
5.72 km
(v)
6.72 km
Question
17
17.
Find the missing angle in the given rhombus
(i)
106.51°
(ii)
126.51°
(iii)
96.51°
(iv)
111.51°
(v)
101.51°
Question
18
18.
Which of the following equations is the same as
(
−
x
+
5
)
=
(
−
4
)
(i)
(
−
x
+
3
)
=
(
−
3
)
(ii)
(
−
x
+
6
)
=
(
−
3
)
(iii)
(
−
x
+
6
)
=
2
(iv)
(
−
x
+
6
)
=
(
−
8
)
(v)
(
−
x
+
9
)
=
(
−
3
)
Question
19
19.
Solve :
(
−
x
+
5
)
+
(
−
x
+
4
)
=
(
−
x
+
2
)
2
(i)
16
3
(ii)
14
3
(iii)
26
5
(iv)
6
Question
20
20.
A and B together can do a piece of work in
4
4
17
hr
.
They work together for
2
hr
and then A leaves.
B completes the remaining work in
4
3
4
hr
.
In how much time can each of them do the work seperately?
(i)
(
8
hr
,
9
hr
)
(ii)
(
8
hr
,
10
hr
)
(iii)
(
9
hr
,
9
hr
)
(iv)
(
8
hr
,
8
hr
)
(v)
(
7
hr
,
9
hr
)
Question
21
21.
Solve :
−
9
(
x
+
3
)
+
5
(
x
+
7
)
=
−
6
(
x
+
7
)
+
2
(
x
−
2
)
(i)
(
-1
3
)
(ii)
1
5
(iii)
1
3
(iv)
1
Question
22
22.
A bag contains ₹492 in the form of five-rupee, two-rupee and one-rupee coins in the ratio 12 : 7 : 8. Find the number of coins of each type
(i)
70 , 47 , 48
(ii)
74 , 37 , 48
(iii)
73 , 47 , 43
(iv)
71 , 42 , 53
(v)
72 , 42 , 48
Question
23
23.
Which of the following equations is equivalent to
(
7
x
−
3
)
=
(
−
3
)
(i)
7
x
=
(
−
4
)
(ii)
7
x
=
4
(iii)
7
x
=
0
(iv)
7
x
=
2
(v)
7
x
=
(
−
2
)
Question
24
24.
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)
4
days
(ii)
7
days
(iii)
10
days
(iv)
8
days
(v)
6
days
Question
25
25.
The R.H.S of the equation
(
−
5
x
+
5
)
=
(
4
x
−
3
)
is
(i)
(
−
5
x
+
5
)
(ii)
(
3
x
−
3
)
(iii)
4
x
(iv)
(
4
x
−
6
)
(v)
(
4
x
−
3
)
Assignment Key
1) (i)
2) (iii)
3) (iv)
4) (ii)
5) (v)
6) (iii)
7) (i)
8) (iv)
9) (iv)
10) (ii)
11) (iv)
12) (ii)
13) (ii)
14) (v)
15) (iii)
16) (i)
17) (iii)
18) (ii)
19) (i)
20) (i)
21) (iii)
22) (v)
23) (iii)
24) (ii)
25) (v)
