EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Linear Equations in One Variable
Grade : CBSE Grade VIII
License : Non Commercial Use
Question
1
1.
Which of the following equations is equivalent to
(
−
3
x
+
8
)
=
2
(i)
(
−
3
x
)
=
(
−
4
)
(ii)
(
−
3
x
)
=
(
−
7
)
(iii)
(
−
3
x
)
=
(
−
5
)
(iv)
(
−
3
x
)
=
(
−
6
)
(v)
(
−
3
x
)
=
(
−
8
)
Question
2
2.
Solve :
(
x
+
3
)
+
(
x
−
5
)
12
=
(
x
−
3
)
6
(i)
(
-31
9
)
(ii)
(
-43
13
)
(iii)
(
-39
11
)
(iv)
(
-35
11
)
(v)
(
-37
11
)
Question
3
3.
Which of the following equations is the same as
(
2
x
−
3
)
=
0
(i)
(
−
2
x
)
=
(
4
x
−
3
)
(ii)
(
3
x
−
1
)
=
(
−
x
−
2
)
(iii)
(
6
x
−
6
)
=
(
4
x
−
3
)
(iv)
(
6
x
−
6
)
=
(
−
4
x
+
3
)
(v)
(
x
−
5
)
=
(
x
+
2
)
Question
4
4.
The R.H.S of the equation
(
−
6
x
−
2
)
=
(
−
x
+
5
)
is
(i)
(
−
x
+
3
)
(ii)
(
−
x
+
5
)
(iii)
(
−
6
x
−
2
)
(iv)
(
−
2
x
+
5
)
(v)
(
−
x
+
7
)
Question
5
5.
Solve :
(
−
4
x
+
5
)
3
+
(
3
x
−
1
)
8
=
(
−
5
x
+
1
)
2
(i)
(
-27
37
)
(ii)
(
-23
37
)
(iii)
(
-25
39
)
(iv)
(
-25
37
)
(v)
(
-5
7
)
Question
6
6.
Which of the following equations is equivalent to
(
−
6
x
+
3
)
=
0
(i)
(
−
6
x
)
=
0
(ii)
(
−
6
x
)
=
(
−
3
)
(iii)
(
−
6
x
)
=
(
−
4
)
(iv)
(
−
6
x
)
=
(
−
2
)
(v)
(
−
6
x
)
=
(
−
6
)
Question
7
7.
The ages of A and B are in the ratio 9 : 8. 10 years ago, their ages were in the ratio 8 : 7. Find their present ages.
(i)
108
:
96
(ii)
90
:
80
(iii)
72
:
64
(iv)
81
:
72
Question
8
8.
Which of the following equations is the same as
(
9
x
+
3
)
=
(
6
x
+
1
)
(i)
(
5
x
+
2
)
=
(
10
x
+
2
)
(ii)
(
3
x
+
4
)
=
12
x
(iii)
(
15
x
+
2
)
=
2
(iv)
(
13
x
+
4
)
=
2
x
(v)
(
5
x
+
2
)
=
2
x
Question
9
9.
The speed of a motor boat is 13.94 m/sec and the speed of a stream is 7.94 m/sec. A & B are two location adjacent to a stream. If it takes 938.04 sec to go from point A to B and come back, What is the distance between A and B?
(i)
4419.00 m
(ii)
4416.00 m
(iii)
4415.00 m
(iv)
4418.00 m
(v)
4417.00 m
Question
10
10.
The R.H.S of the equation
(
5
x
−
8
)
=
0
is
(i)
(
5
x
−
8
)
(ii)
(
−
2
)
(iii)
3
(iv)
0
(v)
(
−
1
)
Question
11
11.
Solve the equation
(
−
6
x
−
9
)
=
0
(i)
(
-5
4
)
(ii)
-2
(iii)
(
-3
2
)
(iv)
(
-1
2
)
(v)
(
-5
2
)
Question
12
12.
Solve the equation
(
−
4
7
x
−
5
6
)
=
(
−
3
8
x
+
7
4
)
(i)
(
-434
33
)
(ii)
(
-144
11
)
(iii)
(
-92
7
)
(iv)
(
-436
33
)
(v)
(
-408
31
)
Question
13
13.
Which of the following equations is the same as
(
x
+
6
)
=
(
3
x
−
8
)
(i)
(
−
2
x
+
7
)
=
(
−
7
)
(ii)
(
4
x
+
5
)
=
(
−
7
)
(iii)
(
−
8
x
−
2
)
=
12
x
(iv)
(
−
2
x
+
7
)
=
(
6
x
−
9
)
(v)
(
10
x
+
14
)
=
(
−
6
x
−
16
)
Question
14
14.
Which of the following equations is the same as
(
8
x
−
7
)
=
0
(i)
(
−
16
x
+
14
)
=
1
(ii)
(
−
16
x
+
14
)
=
0
(iii)
(
−
16
x
+
14
)
=
(
−
1
)
(iv)
(
−
16
x
+
19
)
=
0
(v)
(
−
16
x
+
9
)
=
0
Question
15
15.
Which of the following equations is the same as
(
−
3
x
+
6
)
=
0
(i)
(
−
3
x
+
5
)
=
(
−
5
)
(ii)
(
−
3
x
+
5
)
=
(
−
1
)
(iii)
(
−
3
x
+
5
)
=
3
(iv)
(
−
3
x
+
7
)
=
(
−
1
)
(v)
(
−
3
x
+
3
)
=
(
−
1
)
Question
16
16.
Solve :
(
−
x
−
4
)
2
+
(
−
x
+
5
)
=
(
−
x
−
3
)
10
(i)
33
14
(ii)
29
12
(iii)
5
2
(iv)
37
16
(v)
31
14
Question
17
17.
Which of the following equations is not equivalent to
(
−
4
x
+
7
)
=
(
−
8
)
(i)
(
−
8
x
)
=
(
−
30
)
(ii)
20
x
=
75
(iii)
(
−
4
x
)
=
(
−
15
)
(iv)
(
−
4
x
)
=
(
−
16
)
(v)
12
x
=
45
Question
18
18.
Which of the following equations is not the same as
(
−
2
x
+
1
)
=
(
2
x
−
9
)
(i)
(
−
3
x
+
4
)
=
(
x
−
6
)
(ii)
(
−
x
−
2
)
=
(
3
x
−
12
)
(iii)
(
−
x
−
3
)
=
(
3
x
−
13
)
(iv)
(
−
3
x
+
5
)
=
(
3
x
−
13
)
(v)
(
−
3
x
+
5
)
=
(
x
−
5
)
Question
19
19.
The ages of A and B are in the ratio 6 : 7. 10 years hence, their ages will be in the ratio 7 : 8. Find their present ages.
(i)
54
:
63
(ii)
72
:
84
(iii)
60
:
70
(iv)
48
:
56
Question
20
20.
Find the number which bears the same ratio
to
2
4
that
2
5
does to
4
(i)
1
22
(ii)
3
20
(iii)
1
18
(iv)
1
20
(v)
(
-1
20
)
Question
21
21.
Two numbers are in the ratio 1 : 8. If 10 is added to each number, the ratio becomes 23 : 114. Find the numbers.
(i)
14
:
112
(ii)
13
:
104
(iii)
12
:
96
(iv)
15
:
120
(v)
11
:
88
Question
22
22.
Which of the following equations is not the same as
x
=
0
(i)
(
−
5
x
−
5
)
=
(
−
6
x
−
5
)
(ii)
(
8
x
+
4
)
=
(
−
7
x
−
4
)
(iii)
(
8
x
+
4
)
=
(
7
x
+
4
)
(iv)
(
7
x
+
5
)
=
(
6
x
+
5
)
(v)
(
−
6
x
−
4
)
=
(
−
7
x
−
4
)
Question
23
23.
Which of the following equations is equivalent to
(
5
x
+
3
)
=
(
−
8
x
+
2
)
(i)
13
x
=
4
(ii)
13
x
=
(
−
3
)
(iii)
13
x
=
1
(iv)
13
x
=
(
−
1
)
(v)
13
x
=
(
−
6
)
Question
24
24.
Solve :
−
9
(
x
−
4
)
+
5
(
x
+
2
)
=
1
(
x
+
2
)
−
5
(
x
−
8
)
(i)
57
(ii)
58
(iii)
56
(iv)
59
(v)
61
Question
25
25.
Solve :
6
(
3
x
−
6
)
+
9
(
3
x
+
6
)
=
15
3
x
(i)
12
(ii)
10
(iii)
9
(iv)
11
(v)
8
Assignment Key
1) (iv)
2) (v)
3) (iii)
4) (ii)
5) (iv)
6) (ii)
7) (ii)
8) (v)
9) (v)
10) (iv)
11) (iii)
12) (i)
13) (i)
14) (ii)
15) (ii)
16) (i)
17) (iv)
18) (iv)
19) (iii)
20) (iv)
21) (ii)
22) (ii)
23) (iv)
24) (ii)
25) (ii)
