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 not the same as
(
2
x
+
3
)
=
(
−
7
x
−
1
)
(i)
(
2
x
+
4
)
=
(
−
7
x
−
2
)
(ii)
(
2
x
+
1
)
=
(
−
7
x
−
3
)
(iii)
(
2
x
+
6
)
=
(
−
7
x
+
2
)
(iv)
2
x
=
(
−
7
x
−
4
)
(v)
(
2
x
+
5
)
=
(
−
7
x
+
1
)
Question
2
2.
Which of the following equations is equivalent to
(
−
9
x
+
8
)
=
0
(i)
(
−
9
x
)
=
(
−
5
)
(ii)
(
−
9
x
)
=
(
−
11
)
(iii)
(
−
9
x
)
=
(
−
8
)
(iv)
(
−
9
x
)
=
(
−
10
)
(v)
(
−
9
x
)
=
(
−
6
)
Question
3
3.
Which of the following equations is not equivalent to
(
3
x
−
4
)
=
(
−
4
x
−
6
)
(i)
35
x
=
(
−
10
)
(ii)
(
−
21
x
)
=
6
(iii)
7
x
=
1
(iv)
14
x
=
(
−
4
)
(v)
(
−
28
x
)
=
8
Question
4
4.
Solve :
−
2
(
x
+
1
)
−
3
(
x
−
4
)
=
−
4
(
x
−
4
)
−
1
(
x
+
5
)
(i)
-44
(ii)
-39
(iii)
-40
(iv)
-42
(v)
-41
Question
5
5.
Which of the following equations is equivalent to
(
9
x
+
1
)
=
(
3
x
+
2
)
(i)
6
x
=
(
−
4
)
(ii)
6
x
=
6
(iii)
6
x
=
4
(iv)
6
x
=
(
−
2
)
(v)
6
x
=
1
Question
6
6.
Which of the following equations is the same as
(
2
x
+
5
)
=
0
(i)
(
2
x
+
7
)
=
6
(ii)
(
2
x
+
6
)
=
2
(iii)
(
2
x
+
7
)
=
2
(iv)
(
2
x
+
7
)
=
(
−
2
)
(v)
(
2
x
+
8
)
=
2
Question
7
7.
The additive inverse of the expression
(
−
8
)
is
(i)
11
(ii)
7
(iii)
6
(iv)
8
(v)
(
−
8
)
Question
8
8.
Which of the following equations is the same as
7
x
=
0
(i)
(
7
x
+
3
)
=
(
−
1
)
(ii)
(
7
x
−
1
)
=
4
(iii)
(
7
x
−
5
)
=
(
−
1
)
(iv)
(
7
x
−
1
)
=
(
−
1
)
(v)
(
7
x
−
1
)
=
(
−
6
)
Question
9
9.
Which of the following equations is not the same as
(
9
x
−
4
)
=
(
−
x
−
9
)
(i)
(
27
x
−
12
)
=
(
−
3
x
−
27
)
(ii)
(
−
36
x
+
16
)
=
(
4
x
+
36
)
(iii)
(
18
x
−
8
)
=
(
−
x
−
7
)
(iv)
(
−
18
x
+
8
)
=
(
2
x
+
18
)
(v)
(
45
x
−
20
)
=
(
−
5
x
−
45
)
Question
10
10.
The speed of a motor boat is 18.75 m/sec and the speed of a stream is 9.75 m/sec. A & B are two location adjacent to a stream. If it takes 293.13 sec to go from point A to B and come back, What is the distance between A and B?
(i)
2004.01 m
(ii)
2003.01 m
(iii)
2005.01 m
(iv)
2007.01 m
(v)
2006.01 m
Question
11
11.
Which of the following equations is the same as
(
x
+
8
)
=
(
−
2
x
+
5
)
(i)
(
x
+
5
)
=
(
−
2
x
−
3
)
(ii)
(
x
+
5
)
=
(
−
2
x
+
7
)
(iii)
(
x
+
5
)
=
(
−
2
x
+
2
)
(iv)
(
x
+
9
)
=
(
−
2
x
+
2
)
(v)
(
x
+
1
)
=
(
−
2
x
+
2
)
Question
12
12.
Which of the following equations is not equivalent to
(
−
7
x
−
9
)
=
(
−
3
)
(i)
(
−
21
x
)
=
18
(ii)
(
−
35
x
)
=
30
(iii)
28
x
=
(
−
24
)
(iv)
(
−
7
x
)
=
8
(v)
(
−
28
x
)
=
24
Question
13
13.
The L.H.S of the equation
(
3
x
−
6
)
=
(
−
8
)
is
(i)
(
3
x
−
4
)
(ii)
(
3
x
−
8
)
(iii)
(
2
x
−
6
)
(iv)
(
−
8
)
(v)
(
3
x
−
6
)
Question
14
14.
Find the number which bears the same ratio
to
6
8
that
3
7
does to
15
28
(i)
7
15
(ii)
9
17
(iii)
3
5
(iv)
11
15
(v)
9
13
Question
15
15.
Solve :
(
−
2
)
(
−
9
x
+
4
)
=
8
(
−
9
x
−
7
)
(i)
3
5
(ii)
1
7
(iii)
1
5
(iv)
(
-1
5
)
(v)
1
3
Question
16
16.
Which of the following equations is not equivalent to
(
−
9
x
−
8
)
=
0
(i)
(
−
45
x
)
=
40
(ii)
36
x
=
(
−
32
)
(iii)
(
−
9
x
)
=
3
(iv)
(
−
27
x
)
=
24
(v)
(
−
9
x
)
=
8
Question
17
17.
Solve :
(
−
x
−
5
)
2
+
(
x
−
3
)
10
=
(
x
−
2
)
5
(i)
-2
(ii)
-4
(iii)
-7
(iv)
-3
(v)
-5
Question
18
18.
Which of the following equations is the same as
(
4
x
+
2
)
=
(
−
x
+
4
)
(i)
(
12
x
−
1
)
=
(
−
9
x
+
7
)
(ii)
(
−
4
x
+
5
)
=
(
7
x
+
1
)
(iii)
(
−
3
x
−
4
)
=
(
−
8
x
−
2
)
(iv)
(
−
3
x
−
4
)
=
(
6
x
+
10
)
(v)
(
11
x
+
8
)
=
(
−
8
x
−
2
)
Question
19
19.
Which of the following is a linear equation in two variable?
(i)
(
2
x
+
9
y
+
z
)
=
(
−
5
x
−
4
y
−
2
z
−
8
)
(ii)
(
9
x
2
−
6
x
−
24
)
=
(
−
2
x
−
7
)
(iii)
(
32
x
2
+
12
x
y
−
88
x
−
54
y
2
+
36
y
+
48
)
=
0
(iv)
(
−
x
−
5
y
+
9
)
=
(
3
x
−
7
y
+
9
)
(v)
(
−
6
x
−
7
)
=
(
−
5
x
+
4
)
Question
20
20.
Which of the following equations is not the same as
(
−
6
x
+
1
)
=
0
(i)
(
−
12
x
+
2
)
=
0
(ii)
(
6
x
−
1
)
=
0
(iii)
(
12
x
−
2
)
=
0
(iv)
(
24
x
−
4
)
=
(
−
4
)
(v)
(
−
24
x
+
4
)
=
0
Question
21
21.
Which of the following equations is not the same as
(
−
5
x
+
4
)
=
3
x
(i)
2
x
=
(
10
x
−
4
)
(ii)
(
−
12
x
+
8
)
=
(
−
4
x
+
4
)
(iii)
(
−
7
x
+
13
)
=
(
x
+
9
)
(iv)
(
−
3
x
−
5
)
=
(
5
x
−
9
)
(v)
(
−
7
x
+
13
)
=
(
5
x
−
9
)
Question
22
22.
Solve the equation
(
2
x
−
3
)
=
0
(i)
5
2
(ii)
3
2
(iii)
2
(iv)
5
4
(v)
1
2
Question
23
23.
Solve :
(
5
x
+
2
)
+
(
4
x
+
3
)
6
=
(
3
x
−
2
)
(i)
(
-27
16
)
(ii)
(
-25
14
)
(iii)
(
-29
18
)
(iv)
(
-29
16
)
(v)
(
-25
16
)
Question
24
24.
A motor boat can move at a speed of 13.30 m/sec in still water. If it goes downstream for 100.87 sec, it travels a distance of 1966.00 m. What is the speed of the stream?
(i)
5.19 m/sec
(ii)
7.19 m/sec
(iii)
8.19 m/sec
(iv)
4.19 m/sec
(v)
6.19 m/sec
Question
25
25.
Which of the following is a linear equation in one variable?
(i)
(
−
2
x
−
9
y
−
5
z
−
5
)
=
(
−
6
x
−
3
y
+
3
z
+
6
)
(ii)
(
3
x
2
+
25
x
−
3
y
2
+
11
y
+
42
)
=
0
(iii)
(
9
x
+
8
)
=
(
3
x
−
7
)
(iv)
(
2
x
−
2
y
)
=
(
−
2
x
−
5
y
−
5
)
(v)
(
−
64
x
2
+
16
x
+
35
)
=
(
−
7
x
−
4
)
Assignment Key
1) (i)
2) (iii)
3) (iii)
4) (v)
5) (v)
6) (iii)
7) (iv)
8) (iv)
9) (iii)
10) (iii)
11) (iii)
12) (iv)
13) (v)
14) (iii)
15) (iii)
16) (iii)
17) (ii)
18) (iii)
19) (iv)
20) (iv)
21) (v)
22) (ii)
23) (i)
24) (v)
25) (iii)
