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 the same as
(
−
7
x
−
6
)
=
0
(i)
(
−
7
x
−
11
)
=
(
−
2
)
(ii)
(
−
7
x
−
12
)
=
(
−
5
)
(iii)
(
−
7
x
−
11
)
=
(
−
8
)
(iv)
(
−
7
x
−
11
)
=
(
−
5
)
(v)
(
−
7
x
−
10
)
=
(
−
5
)
Question
2
2.
The ages of A and B are in the ratio 10 : 7. 9 years ago, their ages were in the ratio 3 : 2. Find their present ages.
(i)
80
:
56
(ii)
110
:
77
(iii)
90
:
63
(iv)
70
:
49
Question
3
3.
Find the missing angle in the given quadrilateral
(i)
63.13°
(ii)
58.13°
(iii)
53.13°
(iv)
68.13°
(v)
83.13°
Question
4
4.
Solve :
(
x
−
2
)
7
+
(
−
x
+
5
)
8
=
(
−
x
+
1
)
2
(i)
9
31
(ii)
7
29
(iii)
1
3
(iv)
11
29
(v)
9
29
Question
5
5.
In the given figure l ∥ m. Find the value of 'y'
(i)
12
(ii)
9
(iii)
10
(iv)
6
(v)
8
Question
6
6.
Due to a leak at the bottom, pipe Y takes
9
hr
to fill the tank.
The leak alone can empty the full tank in
18
hr
.
In what time can pipe Y alone fill the tank when the leak is closed?
(i)
7
hr
(ii)
5
hr
(iii)
6
hr
(iv)
9
hr
(v)
4
hr
Question
7
7.
Which of the following is a linear equation in one variable?
(i)
(
−
14
x
2
+
44
x
y
+
79
x
−
6
y
2
−
57
y
−
72
)
=
0
(ii)
(
9
x
+
7
y
−
z
−
5
)
=
0
(iii)
(
2
x
+
3
)
=
0
(iv)
(
9
x
−
3
y
)
=
0
(v)
(
4
x
2
−
12
x
)
=
0
Question
8
8.
Solve :
(
−
x
)
+
(
x
−
1
)
5
=
(
−
x
−
3
)
10
(i)
1
5
(ii)
1
9
(iii)
1
7
(iv)
(
-1
7
)
(v)
3
7
Question
9
9.
The speed of a motor boat is 22.14 m/sec and the speed of a stream is 8.92 m/sec. A & B are two location adjacent to a stream. If it takes 420.68 sec to go from point A to B and come back, What is the distance between A and B?
(i)
3903.01 m
(ii)
3899.01 m
(iii)
3902.01 m
(iv)
3901.01 m
(v)
3900.01 m
Question
10
10.
A and B together can do a piece of work in
3
1
3
hr
.
They work together for
1
hr
and then A leaves.
B completes the remaining work in
7
hr
.
In how much time can each of them do the work seperately?
(i)
(
6
hr
,
10
hr
)
(ii)
(
5
hr
,
9
hr
)
(iii)
(
5
hr
,
11
hr
)
(iv)
(
4
hr
,
10
hr
)
(v)
(
5
hr
,
10
hr
)
Question
11
11.
Which of the following equations is the same as
(
−
6
x
+
8
)
=
(
−
5
x
+
6
)
(i)
(
−
6
x
+
4
)
=
(
−
5
x
+
7
)
(ii)
(
−
6
x
+
4
)
=
(
−
5
x
+
2
)
(iii)
(
−
6
x
+
7
)
=
(
−
5
x
+
2
)
(iv)
(
−
6
x
+
1
)
=
(
−
5
x
+
2
)
(v)
(
−
6
x
+
4
)
=
(
−
5
x
−
3
)
Question
12
12.
The ages of A and B are in the ratio 5 : 3. 9 years hence, their ages will be in the ratio 11 : 7. Find their present ages.
(i)
85
:
51
(ii)
100
:
60
(iii)
80
:
48
(iv)
90
:
54
Question
13
13.
The L.H.S of the equation
(
8
x
−
7
)
=
9
is
(i)
(
8
x
−
5
)
(ii)
(
7
x
−
7
)
(iii)
9
(iv)
(
8
x
−
7
)
(v)
(
8
x
−
10
)
Question
14
14.
A certain amount has been divided into two parts in the ratio 2 : 5. If the first part is 76, find the total amount.
(i)
266
(ii)
269
(iii)
265
(iv)
263
(v)
267
Question
15
15.
Solve :
−
4
(
x
+
1
)
+
1
(
x
+
5
)
=
−
2
(
x
+
5
)
−
1
(
x
−
1
)
(i)
13
5
(ii)
9
5
(iii)
11
5
(iv)
15
7
(v)
7
3
Question
16
16.
A ratio is equal to 2 : 1. If its antecendent is 560, what is its consequent?
(i)
283
(ii)
280
(iii)
278
(iv)
279
(v)
281
Question
17
17.
Which of the following equations is not equivalent to
(
6
x
−
3
)
=
(
−
3
x
−
5
)
(i)
(
−
36
x
)
=
8
(ii)
27
x
=
(
−
6
)
(iii)
(
−
9
x
)
=
2
(iv)
(
−
27
x
)
=
6
(v)
9
x
=
(
−
4
)
Question
18
18.
The additive inverse of the expression
(
2
x
+
9
)
is
(i)
(
−
3
x
−
9
)
(ii)
(
2
x
+
9
)
(iii)
(
−
2
x
−
7
)
(iv)
(
−
2
x
−
12
)
(v)
(
−
2
x
−
9
)
Question
19
19.
The linear equation
4
x
=
(
2
x
−
7
)
is equivalent to
(i)
4
x
=
(
2
x
−
4
)
(ii)
4
x
=
(
2
x
−
9
)
(iii)
(
x
+
7
)
=
0
(iv)
(
2
x
+
7
)
=
0
(v)
(
3
x
+
7
)
=
0
Question
20
20.
Which of the following is a linear equation in three variable?
(i)
(
9
x
−
4
)
=
0
(ii)
(
35
x
2
+
17
x
y
−
36
x
−
30
y
2
−
3
y
+
9
)
=
0
(iii)
(
x
+
y
+
1
)
=
0
(iv)
(
−
8
x
−
3
y
−
3
z
−
5
)
=
0
(v)
(
−
18
x
2
−
43
x
+
5
)
=
0
Question
21
21.
A train crosses a telegraph post in 22.08 sec and a bridge 1246.61 m long in 65.26 sec. What is the length of the train?
(i)
638.45 m
(ii)
639.45 m
(iii)
637.45 m
(iv)
636.45 m
(v)
635.45 m
Question
22
22.
A, B and C together can do a work in
1
1
5
days
.
If A and C can do the work in
4
days
and
4
days
respectively,
in how many days can B alone do the work?
(i)
3
days
(ii)
4
days
(iii)
2
days
(iv)
5
days
(v)
1
day
Question
23
23.
In an examination, the ratio of passes to failures was 5 : 4.
Had 15 less appeared and 15 less passed, the ratio of passes to failures would have been 67 : 56.
How many students appeared for the examination?
(i)
635
(ii)
620
(iii)
640
(iv)
630
(v)
625
Question
24
24.
Solve the equation
(
−
9
x
+
6
)
=
(
−
4
)
(i)
8
9
(ii)
10
9
(iii)
12
11
(iv)
4
3
(v)
8
7
Question
25
25.
The L.H.S of the equation
(
3
x
−
6
)
=
(
2
x
−
1
)
is
(i)
(
3
x
−
9
)
(ii)
(
3
x
−
4
)
(iii)
(
2
x
−
1
)
(iv)
(
3
x
−
6
)
(v)
(
2
x
−
6
)
Assignment Key
1) (iv)
2) (iii)
3) (iii)
4) (v)
5) (ii)
6) (iii)
7) (iii)
8) (iii)
9) (iv)
10) (v)
11) (ii)
12) (iv)
13) (iv)
14) (i)
15) (iii)
16) (ii)
17) (v)
18) (v)
19) (iv)
20) (iv)
21) (iii)
22) (i)
23) (iv)
24) (ii)
25) (iv)
