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 the same as
(
−
9
x
−
6
)
=
(
−
1
)
(i)
(
−
x
−
7
)
=
(
−
8
x
)
(ii)
(
−
17
x
−
5
)
=
(
8
x
−
2
)
(iii)
(
−
16
x
−
4
)
=
(
7
x
−
3
)
(iv)
(
−
2
x
−
8
)
=
(
−
7
x
+
1
)
(v)
(
−
17
x
−
5
)
=
(
−
8
x
)
Question
2
2.
Which of the following is a linear equation in two variable?
(i)
(
8
x
−
7
y
−
1
)
=
(
6
x
−
y
−
2
)
(ii)
(
6
x
−
7
y
−
8
z
+
8
)
=
(
−
5
x
−
8
y
+
2
z
)
(iii)
(
−
21
x
2
+
10
x
−
1
)
=
(
−
6
x
−
2
)
(iv)
(
−
9
x
−
7
)
=
(
6
x
−
1
)
(v)
(
8
x
2
+
38
x
y
+
30
x
+
24
y
2
+
55
y
+
25
)
=
0
Question
3
3.
Which of the following equations is not equivalent to
(
8
x
−
5
)
=
1
(i)
8
x
=
2
(ii)
(
−
24
x
)
=
(
−
18
)
(iii)
16
x
=
12
(iv)
8
x
=
6
(v)
(
−
40
x
)
=
(
−
30
)
Question
4
4.
Which of the following equations is not the same as
(
−
5
x
−
5
)
=
(
8
x
+
4
)
(i)
(
−
5
x
−
6
)
=
(
8
x
+
3
)
(ii)
(
−
5
x
−
9
)
=
8
x
(iii)
(
−
5
x
−
4
)
=
(
8
x
+
5
)
(iv)
(
−
5
x
−
1
)
=
(
8
x
+
8
)
(v)
(
−
5
x
−
8
)
=
(
8
x
+
7
)
Question
5
5.
Which of the following equations is equivalent to
(
−
7
x
+
3
)
=
(
−
5
x
−
5
)
(i)
(
−
2
x
)
=
(
−
8
)
(ii)
(
−
2
x
)
=
(
−
4
)
(iii)
(
−
2
x
)
=
(
−
5
)
(iv)
(
−
2
x
)
=
(
−
12
)
(v)
(
−
2
x
)
=
(
−
11
)
Question
6
6.
Which of the following equations is the same as
(
−
6
x
+
9
)
=
(
9
x
−
2
)
(i)
(
−
6
x
+
11
)
=
9
x
(ii)
(
−
6
x
+
11
)
=
(
9
x
−
4
)
(iii)
(
−
6
x
+
11
)
=
(
9
x
+
4
)
(iv)
(
−
6
x
+
16
)
=
9
x
(v)
(
−
6
x
+
6
)
=
9
x
Question
7
7.
The R.H.S of the equation
(
5
x
−
4
)
=
2
is
(i)
(
5
x
−
4
)
(ii)
0
(iii)
2
(iv)
1
(v)
4
Question
8
8.
Solve the equation
(
3
2
x
−
5
4
)
=
0
(i)
1
2
(ii)
5
6
(iii)
5
8
(iv)
7
6
(v)
5
4
Question
9
9.
Which of the following equations is the same as
(
8
x
−
8
)
=
0
(i)
(
−
8
x
+
8
)
=
0
(ii)
(
−
8
x
+
8
)
=
(
−
2
)
(iii)
(
−
8
x
+
10
)
=
0
(iv)
(
−
8
x
+
8
)
=
2
(v)
(
−
8
x
+
6
)
=
0
Question
10
10.
Which of the following equations is not the same as
(
−
7
x
−
9
)
=
(
x
−
7
)
(i)
(
−
4
x
−
5
)
=
(
4
x
−
3
)
(ii)
(
−
4
x
−
5
)
=
(
−
2
x
−
11
)
(iii)
(
−
10
x
−
13
)
=
(
−
2
x
−
11
)
(iv)
(
−
6
x
−
11
)
=
(
2
x
−
9
)
(v)
(
−
8
x
−
7
)
=
(
−
5
)
Question
11
11.
The linear equation
(
9
x
+
3
y
+
6
)
=
(
−
x
+
8
y
+
2
)
is equivalent to
(i)
(
9
x
−
5
y
+
4
)
=
0
(ii)
(
9
x
+
3
y
+
6
)
=
(
−
x
+
11
y
+
2
)
(iii)
(
11
x
−
5
y
+
4
)
=
0
(iv)
(
10
x
−
5
y
+
4
)
=
0
(v)
(
9
x
+
3
y
+
6
)
=
(
−
x
+
5
y
+
2
)
Question
12
12.
Which of the following equations is not the same as
(
−
7
x
+
4
)
=
0
(i)
(
−
15
x
+
5
)
=
(
−
8
x
+
1
)
(ii)
(
−
8
x
+
4
)
=
(
−
x
)
(iii)
(
x
+
3
)
=
(
8
x
−
1
)
(iv)
(
−
6
x
+
4
)
=
(
−
x
)
(v)
(
−
6
x
+
4
)
=
x
Question
13
13.
Which of the following is a linear equation in one variable?
(i)
(
3
x
−
6
)
=
(
9
x
+
5
)
(ii)
(
21
x
2
−
9
x
)
=
(
−
x
+
1
)
(iii)
(
−
18
x
2
−
60
x
y
+
21
x
−
48
y
2
+
14
y
+
49
)
=
0
(iv)
(
5
x
−
9
y
−
3
)
=
(
−
2
x
+
2
y
−
2
)
(v)
(
−
7
x
−
6
y
−
9
z
+
7
)
=
(
2
x
+
2
y
−
7
z
+
2
)
Question
14
14.
Which of the following equations is not the same as
(
−
8
x
−
8
)
=
(
−
7
)
(i)
(
−
8
x
−
10
)
=
(
−
9
)
(ii)
(
−
8
x
−
6
)
=
(
−
5
)
(iii)
(
−
8
x
−
7
)
=
(
−
6
)
(iv)
(
−
8
x
−
9
)
=
(
−
8
)
(v)
(
−
8
x
−
11
)
=
(
−
4
)
Question
15
15.
Solve the equation
9
x
=
(
−
9
)
(i)
-4
(ii)
0
(iii)
-2
(iv)
-1
(v)
2
Question
16
16.
The ratio of males to females in a committee of 169 members is 5 : 8. How many more ladies should be added to the committee so that the ratio of males to females is 65 : 152?
(i)
50
(ii)
45
(iii)
47
(iv)
48
(v)
49
Question
17
17.
The L.H.S of the equation
(
−
9
x
−
4
)
=
5
is
(i)
(
−
9
x
−
2
)
(ii)
(
−
9
x
−
4
)
(iii)
5
(iv)
(
−
9
x
−
6
)
(v)
(
−
10
x
−
4
)
Question
18
18.
Solve :
(
x
+
4
)
+
(
−
x
+
5
)
=
(
−
2
x
−
3
)
5
(i)
-23
(ii)
-24
(iii)
-22
(iv)
-26
(v)
-25
Question
19
19.
A motor boat can move at a speed of 17.15 m/sec in still water. If it goes downstream for 167.66 sec, it travels a distance of 4770.00 m. What is the speed of the stream?
(i)
11.30 m/sec
(ii)
13.30 m/sec
(iii)
12.30 m/sec
(iv)
9.30 m/sec
(v)
10.30 m/sec
Question
20
20.
Which of the following is a linear equation in one variable?
(i)
(
8
x
+
3
)
=
0
(ii)
(
18
x
2
−
55
x
−
28
)
=
0
(iii)
(
−
9
x
−
4
y
+
8
)
=
0
(iv)
(
72
x
2
−
50
x
y
+
144
x
+
8
y
2
−
50
y
+
72
)
=
0
(v)
(
8
x
−
y
+
9
z
)
=
0
Question
21
21.
Which of the following equations is not the same as
(
−
7
x
−
4
)
=
0
(i)
(
−
7
x
−
5
)
=
1
(ii)
(
−
7
x
)
=
4
(iii)
(
−
7
x
−
6
)
=
(
−
2
)
(iv)
(
−
7
x
−
8
)
=
(
−
4
)
(v)
(
−
7
x
−
2
)
=
2
Question
22
22.
The L.H.S of the equation
(
2
x
−
5
)
=
0
is
(i)
0
(ii)
(
2
x
−
8
)
(iii)
(
2
x
−
5
)
(iv)
(
2
x
−
2
)
(v)
(
x
−
5
)
Question
23
23.
Which of the following equations is not the same as
(
−
x
+
2
)
=
0
(i)
(
−
3
x
+
7
)
=
(
−
2
x
+
5
)
(ii)
(
−
4
x
−
2
)
=
(
−
3
x
−
4
)
(iii)
(
2
x
+
6
)
=
(
3
x
+
4
)
(iv)
(
x
−
3
)
=
(
−
2
x
+
5
)
(v)
(
x
−
3
)
=
(
2
x
−
5
)
Question
24
24.
Solve :
−
9
(
5
x
+
8
)
−
8
(
5
x
−
8
)
=
−
17
5
x
(i)
190
7
(ii)
138
5
(iii)
136
5
(iv)
82
3
(v)
134
5
Question
25
25.
Which of the following equations is not the same as
(
−
9
x
+
7
)
=
(
3
x
+
8
)
(i)
(
−
5
x
+
10
)
=
(
7
x
+
11
)
(ii)
(
−
13
x
+
4
)
=
(
−
x
+
5
)
(iii)
(
−
5
x
+
10
)
=
(
−
x
+
5
)
Assignment Key
1) (v)
2) (i)
3) (i)
4) (v)
5) (i)
6) (i)
7) (iii)
8) (ii)
9) (i)
10) (ii)
11) (iv)
12) (iv)
13) (i)
14) (v)
15) (iv)
16) (iv)
17) (ii)
18) (ii)
19) (i)
20) (i)
21) (i)
22) (iii)
23) (iv)
24) (iii)
25) (iii)
