EduSahara™ Assignment
Name : Linear Equation Concepts
Chapter : Linear Equations in One Variable
Grade : SSC Grade VIII
License : Non Commercial Use
Question
1
1.
Which of the following is a linear equation in one variable?
(i)
(
36
x
2
+
66
x
y
−
36
x
+
18
y
2
−
26
y
+
8
)
=
0
(ii)
(
−
9
x
+
9
y
+
4
z
−
4
)
=
0
(iii)
(
8
x
−
3
)
=
0
(iv)
(
x
+
9
y
−
4
)
=
0
(v)
(
−
2
x
2
+
7
x
+
49
)
=
0
Question
2
2.
Which of the following is a linear equation in two variable?
(i)
(
−
5
x
−
8
y
+
3
z
−
9
)
=
0
(ii)
(
40
x
2
+
92
x
y
+
16
x
+
36
y
2
−
44
y
−
56
)
=
0
(iii)
(
5
x
+
6
y
+
3
)
=
0
(iv)
(
4
x
2
+
26
x
+
36
)
=
0
(v)
(
2
x
+
7
)
=
0
Question
3
3.
Which of the following is a linear equation in three variable?
(i)
(
−
5
x
+
8
)
=
0
(ii)
(
−
9
x
−
8
y
−
1
)
=
0
(iii)
(
−
7
x
+
8
y
−
8
z
−
7
)
=
0
(iv)
(
−
63
x
2
−
92
x
−
32
)
=
0
(v)
(
−
81
x
2
−
126
x
y
−
45
x
−
48
y
2
−
38
y
−
4
)
=
0
Question
4
4.
Which of the following is a linear equation in one variable?
(i)
(
−
63
x
2
+
36
x
)
=
(
−
5
x
−
4
)
(ii)
(
−
x
−
7
y
−
5
z
−
2
)
=
(
−
8
x
+
3
y
−
3
z
+
7
)
(iii)
(
6
x
−
y
−
1
)
=
(
5
x
−
6
y
+
2
)
(iv)
(
16
x
2
−
20
x
y
+
54
x
−
6
y
2
+
31
y
−
40
)
=
0
(v)
(
−
x
+
2
)
=
(
−
2
x
−
3
)
Question
5
5.
Which of the following is a linear equation in two variable?
(i)
(
−
40
x
2
+
47
x
y
−
19
x
−
12
y
2
−
12
y
+
72
)
=
0
(ii)
(
−
x
+
8
)
=
(
−
5
x
+
5
)
(iii)
(
3
x
2
−
15
x
+
12
)
=
(
−
6
x
+
8
)
(iv)
(
8
x
+
7
y
−
2
z
+
4
)
=
(
−
x
−
3
y
+
8
z
+
4
)
(v)
(
3
x
−
6
y
+
6
)
=
(
9
x
+
3
y
+
3
)
Question
6
6.
Which of the following is a linear equation in three variable?
(i)
(
−
4
x
−
7
y
+
4
)
=
(
6
x
−
4
y
−
9
)
(ii)
(
−
16
x
2
+
4
x
)
=
(
5
x
+
5
)
(iii)
(
−
18
x
2
−
42
x
y
+
30
x
−
12
y
2
−
20
y
+
48
)
=
0
(iv)
(
−
x
+
4
y
−
7
z
+
4
)
=
(
−
5
x
−
3
y
+
5
z
+
2
)
(v)
(
−
9
x
−
5
)
=
(
5
x
−
6
)
Question
7
7.
The linear equation
(
−
4
x
−
3
)
=
(
3
x
+
1
)
is equivalent to
(i)
(
−
4
x
−
3
)
=
(
3
x
−
1
)
(ii)
(
−
4
x
−
3
)
=
(
3
x
+
3
)
(iii)
(
−
8
x
−
4
)
=
0
(iv)
(
−
6
x
−
4
)
=
0
(v)
(
−
7
x
−
4
)
=
0
Question
8
8.
The linear equation
(
−
4
x
−
3
y
−
5
)
=
(
8
x
−
8
y
+
6
)
is equivalent to
(i)
(
−
4
x
−
3
y
−
5
)
=
(
8
x
−
6
y
+
6
)
(ii)
(
−
13
x
+
5
y
−
11
)
=
0
(iii)
(
−
12
x
+
5
y
−
11
)
=
0
(iv)
(
−
11
x
+
5
y
−
11
)
=
0
(v)
(
−
4
x
−
3
y
−
5
)
=
(
8
x
−
11
y
+
6
)
Question
9
9.
The linear equation
(
5
x
+
2
y
+
6
z
−
7
)
=
(
−
2
x
−
8
y
+
8
z
−
1
)
is equivalent to
(i)
(
7
x
+
10
y
−
2
z
−
6
)
=
0
(ii)
(
5
x
+
2
y
+
6
z
−
7
)
=
(
−
2
x
−
11
y
+
8
z
−
1
)
(iii)
(
8
x
+
10
y
−
2
z
−
6
)
=
0
(iv)
(
5
x
+
2
y
+
6
z
−
7
)
=
(
−
2
x
−
6
y
+
8
z
−
1
)
(v)
(
6
x
+
10
y
−
2
z
−
6
)
=
0
Question
10
10.
The value of
x
in terms of other variables and constant in
(
8
x
−
6
)
=
(
−
5
x
+
9
)
is
(i)
x
=
17
13
(ii)
x
=
13
11
(iii)
x
=
17
15
(iv)
x
=
15
13
(v)
x
=
1
Question
11
11.
The value of
x
in terms of other variables and constant in
(
−
9
x
+
6
y
−
7
)
=
(
x
−
4
y
+
8
)
is
(i)
x
=
(
y
−
5
2
)
(ii)
x
=
(
−
3
2
)
(iii)
x
=
(
y
−
1
2
)
(iv)
x
=
(
y
−
3
2
)
(v)
x
=
(
2
y
−
3
2
)
Question
12
12.
The value of
y
in terms of other variables and constant in
(
−
8
x
−
7
y
+
4
)
=
(
5
x
+
3
y
−
9
)
is
(i)
y
=
(
−
13
10
x
+
13
10
)
(ii)
y
=
(
−
5
4
x
+
13
10
)
(iii)
y
=
(
−
13
10
x
+
11
10
)
(iv)
y
=
(
−
11
8
x
+
13
10
)
(v)
y
=
(
−
13
10
x
+
3
2
)
Question
13
13.
The value of
x
in terms of other variables and constant in
(
−
8
x
−
7
y
+
9
z
+
7
)
=
(
−
9
x
+
9
y
−
4
z
−
5
)
is
(i)
x
=
(
16
y
−
13
z
−
12
)
(ii)
x
=
(
16
y
−
10
z
−
12
)
(iii)
x
=
(
16
y
−
15
z
−
12
)
(iv)
x
=
(
17
y
−
13
z
−
12
)
(v)
x
=
(
15
y
−
13
z
−
12
)
Question
14
14.
The value of
y
in terms of other variables and constant in
(
4
x
+
6
y
+
5
z
−
4
)
=
(
−
4
x
+
5
y
−
6
z
+
6
)
is
(i)
y
=
(
−
7
x
−
11
z
+
10
)
(ii)
y
=
(
−
9
x
−
11
z
+
10
)
(iii)
y
=
(
−
8
x
−
13
z
+
10
)
(iv)
y
=
(
−
8
x
−
9
z
+
10
)
(v)
y
=
(
−
8
x
−
11
z
+
10
)
Question
15
15.
The value of
z
in terms of other variables and constant in
(
3
x
−
6
y
+
3
z
+
5
)
=
(
8
x
+
6
y
+
z
−
7
)
is
(i)
z
=
(
3
x
+
6
y
−
6
)
(ii)
z
=
(
9
4
x
+
6
y
−
6
)
(iii)
z
=
(
5
2
x
+
3
y
−
6
)
(iv)
z
=
(
5
2
x
+
6
y
−
6
)
(v)
z
=
(
5
2
x
+
9
y
−
6
)
Question
16
16.
Which of the following is a linear equation in one variable?
(i)
(
5
x
+
y
+
1
)
=
0
(ii)
(
−
6
x
−
6
)
=
0
(iii)
(
−
8
x
2
+
4
x
)
=
0
(iv)
(
−
8
x
−
9
y
−
2
z
−
6
)
=
0
(v)
(
−
18
x
2
−
93
x
y
−
58
x
−
54
y
2
+
15
y
+
56
)
=
0
Question
17
17.
Which of the following is a linear equation in two variable?
(i)
(
32
x
2
+
52
x
y
+
16
x
+
21
y
2
+
12
y
)
=
0
(ii)
(
63
x
2
−
60
x
−
27
)
=
0
(iii)
(
3
x
−
5
y
−
5
)
=
0
(iv)
(
−
9
x
+
4
)
=
0
(v)
(
−
4
x
+
9
y
−
4
z
+
4
)
=
0
Question
18
18.
Which of the following is a linear equation in three variable?
(i)
(
−
16
x
2
+
22
x
+
45
)
=
0
(ii)
(
−
2
x
+
8
y
+
1
)
=
0
(iii)
(
−
36
x
2
+
59
x
y
−
29
x
+
7
y
2
+
34
y
−
5
)
=
0
(iv)
(
9
x
−
8
y
−
6
z
−
1
)
=
0
(v)
(
−
6
x
−
8
)
=
0
Question
19
19.
Which of the following is a linear equation in one variable?
(i)
(
45
x
2
−
11
x
y
+
14
x
−
20
y
2
+
62
y
−
48
)
=
0
(ii)
(
−
2
x
+
2
y
−
3
z
)
=
(
x
−
8
y
−
9
z
−
9
)
(iii)
(
2
x
+
3
y
+
6
)
=
(
−
3
x
+
8
y
−
3
)
(iv)
(
9
x
+
7
)
=
(
−
9
x
)
(v)
(
56
x
2
+
135
x
+
81
)
=
(
8
x
+
3
)
Question
20
20.
Which of the following is a linear equation in two variable?
(i)
(
−
2
x
+
4
y
−
9
)
=
(
−
5
x
+
2
y
−
8
)
(ii)
(
−
3
x
−
9
y
+
5
z
−
3
)
=
(
6
x
−
2
y
+
8
z
−
4
)
(iii)
(
3
x
+
7
)
=
8
x
(iv)
(
−
8
x
2
+
78
x
−
54
)
=
(
−
9
x
−
6
)
(v)
(
−
5
x
2
+
23
x
y
+
2
x
+
10
y
2
+
17
y
+
3
)
=
0
Question
21
21.
Which of the following is a linear equation in three variable?
(i)
(
3
x
+
3
y
+
4
)
=
(
8
x
−
4
y
+
3
)
(ii)
(
x
+
6
y
+
3
z
+
9
)
=
(
6
x
+
3
y
+
9
z
−
2
)
(iii)
(
12
x
2
+
44
x
−
3
y
2
−
26
y
−
16
)
=
0
(iv)
(
7
x
2
+
14
x
+
7
)
=
(
−
9
x
−
2
)
(v)
(
−
5
x
+
2
)
=
(
8
x
+
1
)
Question
22
22.
The linear equation
(
−
2
x
+
3
)
=
(
−
6
x
+
7
)
is equivalent to
(i)
(
5
x
−
4
)
=
0
(ii)
(
4
x
−
4
)
=
0
(iii)
(
−
2
x
+
3
)
=
(
−
6
x
+
9
)
(iv)
(
−
2
x
+
3
)
=
(
−
6
x
+
5
)
(v)
(
3
x
−
4
)
=
0
Question
23
23.
The linear equation
(
4
x
+
8
y
−
2
)
=
(
3
x
−
2
y
+
5
)
is equivalent to
(i)
(
4
x
+
8
y
−
2
)
=
(
3
x
−
5
y
+
5
)
(ii)
(
10
y
−
7
)
=
0
(iii)
(
2
x
+
10
y
−
7
)
=
0
(iv)
(
4
x
+
8
y
−
2
)
=
(
3
x
+
y
+
5
)
(v)
(
x
+
10
y
−
7
)
=
0
Question
24
24.
The linear equation
(
2
x
+
5
y
+
5
z
+
4
)
=
(
−
7
x
+
9
y
−
6
z
−
7
)
is equivalent to
(i)
(
8
x
−
4
y
+
11
z
+
11
)
=
0
(ii)
(
10
x
−
4
y
+
11
z
+
11
)
=
0
(iii)
(
2
x
+
5
y
+
5
z
+
4
)
=
(
−
7
x
+
7
y
−
6
z
−
7
)
(iv)
(
9
x
−
4
y
+
11
z
+
11
)
=
0
(v)
(
2
x
+
5
y
+
5
z
+
4
)
=
(
−
7
x
+
12
y
−
6
z
−
7
)
Question
25
25.
The value of
x
in terms of other variables and constant in
(
7
x
+
3
)
=
(
−
9
x
−
8
)
is
(i)
x
=
(
−
11
18
)
(ii)
x
=
(
−
13
16
)
(iii)
x
=
(
−
11
14
)
(iv)
x
=
(
−
9
16
)
(v)
x
=
(
−
11
16
)
Question
26
26.
The value of
x
in terms of other variables and constant in
(
−
5
x
+
5
y
+
3
)
=
(
9
x
+
4
y
+
3
)
is
(i)
x
=
1
14
y
(ii)
x
=
(
−
1
14
y
)
(iii)
x
=
3
14
y
(iv)
x
=
1
12
y
(v)
x
=
1
16
y
Question
27
27.
The value of
y
in terms of other variables and constant in
(
−
6
x
−
3
y
−
7
)
=
(
8
x
+
9
y
+
9
)
is
(i)
y
=
(
−
9
8
x
−
4
3
)
(ii)
y
=
(
−
7
6
x
−
2
)
(iii)
y
=
(
−
5
4
x
−
4
3
)
(iv)
y
=
(
−
7
6
x
−
2
3
)
(v)
y
=
(
−
7
6
x
−
4
3
)
Question
28
28.
The value of
x
in terms of other variables and constant in
(
4
x
−
3
y
+
3
z
−
2
)
=
(
8
x
−
2
y
−
z
+
1
)
is
(i)
x
=
(
−
1
4
y
+
3
z
−
3
4
)
(ii)
x
=
(
−
1
2
y
+
z
−
3
4
)
(iii)
x
=
(
−
1
4
y
−
z
−
3
4
)
(iv)
x
=
(
−
1
4
y
+
z
−
3
4
)
(v)
x
=
(
−
1
6
y
+
z
−
3
4
)
Question
29
29.
The value of
y
in terms of other variables and constant in
(
6
x
−
3
y
−
4
z
−
9
)
=
(
−
5
x
+
y
+
8
z
+
1
)
is
(i)
y
=
(
7
2
x
−
3
z
−
5
2
)
(ii)
y
=
(
11
4
x
−
5
z
−
5
2
)
(iii)
y
=
(
5
2
x
−
3
z
−
5
2
)
(iv)
y
=
(
11
4
x
−
z
−
5
2
)
(v)
y
=
(
11
4
x
−
3
z
−
5
2
)
Question
30
30.
The value of
z
in terms of other variables and constant in
(
9
x
−
4
y
+
6
z
+
4
)
=
(
2
x
−
y
+
8
z
)
is
(i)
z
=
(
7
2
x
−
3
2
y
+
2
)
(ii)
z
=
(
4
x
−
3
2
y
+
2
)
(iii)
z
=
(
7
2
x
−
5
2
y
+
2
)
(iv)
z
=
(
7
2
x
−
1
2
y
+
2
)
(v)
z
=
(
13
4
x
−
3
2
y
+
2
)
Assignment Key
1) (iii)
2) (iii)
3) (iii)
4) (v)
5) (v)
6) (iv)
7) (v)
8) (iii)
9) (i)
10) (iv)
11) (iv)
12) (i)
13) (i)
14) (v)
15) (iv)
16) (ii)
17) (iii)
18) (iv)
19) (iv)
20) (i)
21) (ii)
22) (ii)
23) (v)
24) (iv)
25) (v)
26) (i)
27) (v)
28) (iv)
29) (v)
30) (i)
