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 is a linear equation in two variable?
(i)
(
8
x
−
5
y
+
8
)
=
(
−
6
x
−
6
y
+
7
)
(ii)
(
−
35
x
2
−
28
x
y
+
23
x
+
63
y
2
+
61
y
+
6
)
=
0
(iii)
(
3
x
+
5
)
=
(
−
7
x
+
3
)
(iv)
(
24
x
2
−
38
x
+
8
)
=
(
7
x
+
6
)
(v)
(
9
x
−
8
y
−
9
z
−
9
)
=
(
7
x
+
y
+
8
z
−
7
)
Question
2
2.
Which of the following equations is the same as
(
2
x
−
4
)
=
(
−
9
x
−
2
)
(i)
(
2
x
+
1
)
=
(
−
9
x
+
3
)
(ii)
(
2
x
+
1
)
=
(
−
9
x
+
6
)
(iii)
2
x
=
(
−
9
x
+
3
)
(iv)
(
2
x
+
2
)
=
(
−
9
x
+
3
)
(v)
(
2
x
+
1
)
=
(
−
9
x
)
Question
3
3.
Which of the following equations is not the same as
(
−
x
+
4
)
=
0
(i)
(
−
x
+
1
)
=
(
−
3
)
(ii)
(
−
x
+
7
)
=
3
(iii)
(
−
x
+
8
)
=
(
−
4
)
(iv)
(
−
x
+
6
)
=
2
(v)
(
−
x
+
2
)
=
(
−
2
)
Question
4
4.
Solve :
(
−
7
x
+
3
)
(
−
8
x
+
6
)
=
(
−
7
x
−
7
)
(
−
8
x
−
4
)
(i)
6
(ii)
2
(iii)
1
(iv)
4
(v)
3
Question
5
5.
Solve :
(
−
x
−
5
)
+
(
−
x
−
2
)
3
=
(
−
x
−
2
)
2
(i)
(
-28
5
)
(ii)
(
-26
5
)
(iii)
(
-38
7
)
(iv)
-6
Question
6
6.
Which of the following is a linear equation in one variable?
(i)
(
54
x
2
−
54
)
=
0
(ii)
(
3
x
−
9
y
+
1
)
=
0
(iii)
(
8
x
+
2
y
−
2
z
+
8
)
=
0
(iv)
(
−
7
x
−
7
)
=
0
(v)
(
8
x
2
−
10
x
y
−
14
x
−
3
y
2
−
14
y
−
15
)
=
0
Question
7
7.
Solve :
(
3
x
+
1
)
4
+
(
−
4
x
+
2
)
2
=
(
−
x
+
3
)
(i)
-8
(ii)
-6
(iii)
-4
(iv)
-10
(v)
-7
Question
8
8.
Which of the following equations is the same as
(
−
x
)
=
(
−
3
)
(i)
(
−
x
+
4
)
=
3
(ii)
(
−
x
+
4
)
=
(
−
1
)
(iii)
(
−
x
+
4
)
=
1
(iv)
(
−
x
+
7
)
=
1
(v)
(
−
x
+
1
)
=
1
Question
9
9.
Two numbers are in the ratio 1 : 2. If 12 is added to each number, the ratio becomes 13 : 20. Find the numbers.
(i)
13
:
26
(ii)
16
:
32
(iii)
15
:
30
(iv)
14
:
28
(v)
12
:
24
Question
10
10.
Which of the following equations is the same as
(
−
3
x
+
7
)
=
(
−
1
)
(i)
(
−
3
x
+
2
)
=
(
−
8
)
(ii)
(
−
3
x
+
5
)
=
(
−
6
)
(iii)
(
−
3
x
+
2
)
=
(
−
6
)
(iv)
(
−
3
x
+
2
)
=
(
−
4
)
(v)
(
−
3
x
−
1
)
=
(
−
6
)
Question
11
11.
The R.H.S of the equation
(
−
9
x
+
8
)
=
0
is
(i)
(
−
9
x
+
8
)
(ii)
3
(iii)
(
−
3
)
(iv)
(
−
1
)
(v)
0
Question
12
12.
Solve :
3
x
4
=
(
−
3
x
+
4
)
8
(i)
4
11
(ii)
2
3
(iii)
4
7
(iv)
4
9
(v)
2
9
Question
13
13.
Which of the following equations is not the same as
(
−
3
x
−
2
)
=
0
(i)
(
2
x
−
10
)
=
(
5
x
−
8
)
(ii)
(
−
8
x
+
6
)
=
(
−
5
x
+
8
)
(iii)
(
−
2
x
+
3
)
=
(
x
+
5
)
(iv)
(
2
x
−
10
)
=
(
−
5
x
+
8
)
(v)
(
−
4
x
−
7
)
=
(
−
x
−
5
)
Question
14
14.
The speed of a motor boat is 24.69 m/sec and the speed of a stream is 17.69 m/sec. A & B are two location adjacent to a stream. If it takes 830.43 sec to go from point A to B and come back, What is the distance between A and B?
(i)
4990.97 m
(ii)
4986.97 m
(iii)
4988.97 m
(iv)
4987.97 m
(v)
4989.97 m
Question
15
15.
The R.H.S of the equation
(
−
8
x
+
1
)
=
8
is
(i)
10
(ii)
7
(iii)
8
(iv)
(
−
8
x
+
1
)
(v)
6
Question
16
16.
Solve the equation
(
2
x
−
7
2
)
=
(
−
3
4
x
−
5
3
)
(i)
2
3
(ii)
4
3
(iii)
2
5
(iv)
2
(v)
0
Question
17
17.
A motor boat can move at a speed of 26.35 m/sec in still water. If it goes downstream for 76.25 sec, it travels a distance of 3175.00 m. What is the speed of the stream?
(i)
17.29 m/sec
(ii)
13.29 m/sec
(iii)
14.29 m/sec
(iv)
15.29 m/sec
(v)
16.29 m/sec
Question
18
18.
Solve :
5
(
x
−
3
)
−
9
(
x
+
1
)
=
4
(
x
+
1
)
−
8
(
x
+
5
)
(i)
47
3
(ii)
17
(iii)
81
5
(iv)
49
3
Question
19
19.
Which of the following equations is not the same as
(
4
x
+
5
)
=
(
−
x
−
7
)
(i)
(
4
x
+
8
)
=
(
−
x
−
4
)
(ii)
(
4
x
+
7
)
=
(
−
x
−
9
)
(iii)
(
4
x
+
9
)
=
(
−
x
−
3
)
(iv)
(
4
x
+
1
)
=
(
−
x
−
11
)
(v)
(
4
x
+
2
)
=
(
−
x
−
10
)
Question
20
20.
Solve the equation
(
−
8
x
−
3
)
=
(
4
x
+
1
)
(i)
(
-1
5
)
(ii)
1
3
(iii)
-1
(iv)
(
-1
3
)
Question
21
21.
Which of the following equations is the same as
(
3
x
−
4
)
=
0
(i)
(
3
x
+
3
)
=
2
(ii)
(
3
x
−
7
)
=
2
(iii)
(
3
x
−
2
)
=
2
(iv)
(
3
x
−
2
)
=
3
(v)
(
3
x
−
2
)
=
1
Question
22
22.
Solve :
−
1
(
x
+
1
)
−
1
(
x
−
9
)
=
1
(
x
−
9
)
−
3
(
x
−
6
)
(i)
69
(ii)
68
(iii)
71
(iv)
67
(v)
70
Question
23
23.
Solve the equation
x
=
1
(i)
-1
(ii)
1
(iii)
4
(iv)
2
(v)
0
Question
24
24.
Which of the following equations is the same as
(
5
x
−
3
)
=
(
−
3
)
(i)
(
−
5
x
+
3
)
=
3
(ii)
(
−
5
x
+
3
)
=
1
(iii)
(
−
5
x
+
7
)
=
3
(iv)
(
−
5
x
+
3
)
=
5
(v)
(
−
5
x
−
1
)
=
3
Question
25
25.
The linear equation
(
−
5
x
)
=
(
−
6
x
−
8
)
is equivalent to
(i)
(
x
+
8
)
=
0
(ii)
(
−
5
x
)
=
(
−
6
x
−
11
)
(iii)
(
2
x
+
8
)
=
0
(iv)
8
=
0
(v)
(
−
5
x
)
=
(
−
6
x
−
6
)
Assignment Key
1) (i)
2) (i)
3) (iii)
4) (v)
5) (i)
6) (iv)
7) (v)
8) (iii)
9) (iv)
10) (iii)
11) (v)
12) (iv)
13) (iv)
14) (iii)
15) (iii)
16) (i)
17) (iv)
18) (iv)
19) (ii)
20) (iv)
21) (iii)
22) (i)
23) (ii)
24) (i)
25) (i)
