EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Linear Equations
Grade : ICSE Grade VII
License : Non Commercial Use
Question
1
1.
Solve the equation
(
−
5
x
−
1
)
=
8
(i)
(
-9
5
)
(ii)
(
-11
5
)
(iii)
(
-7
5
)
(iv)
(
-7
3
)
(v)
(
-11
7
)
Question
2
2.
Which of the following equations is not the same as
(
8
x
+
9
)
=
0
(i)
(
12
x
+
8
)
=
(
4
x
−
1
)
(ii)
(
4
x
+
10
)
=
(
−
4
x
+
1
)
(iii)
(
4
x
+
12
)
=
(
−
4
x
+
3
)
(iv)
(
4
x
+
10
)
=
(
4
x
−
1
)
(v)
(
12
x
+
6
)
=
(
4
x
−
3
)
Question
3
3.
The L.H.S of the equation
(
8
x
+
1
)
=
(
−
7
)
is
(i)
(
8
x
+
1
)
(ii)
(
8
x
−
2
)
(iii)
(
−
7
)
(iv)
(
8
x
+
3
)
(v)
(
7
x
+
1
)
Question
4
4.
Solve the equation
(
7
3
x
+
7
)
=
0
(i)
-2
(ii)
-4
(iii)
-3
(iv)
0
(v)
-5
Question
5
5.
Which of the following equations is the same as
(
−
4
x
+
3
)
=
0
(i)
(
−
3
x
+
7
)
=
(
−
x
−
4
)
(ii)
(
−
5
x
+
4
)
=
(
x
−
1
)
(iii)
(
−
5
x
−
1
)
=
(
x
+
4
)
(iv)
(
−
5
x
+
4
)
=
(
−
x
+
1
)
(v)
(
−
3
x
+
2
)
=
(
−
x
+
1
)
Question
6
6.
Which of the following equations is not the same as
(
5
x
+
8
)
=
(
−
6
x
+
4
)
(i)
(
−
2
x
+
13
)
=
(
−
13
x
+
9
)
(ii)
(
4
x
+
8
)
=
(
−
7
x
+
4
)
(iii)
(
6
x
+
8
)
=
(
−
5
x
+
4
)
(iv)
(
−
2
x
+
13
)
=
(
x
−
1
)
(v)
(
12
x
+
3
)
=
(
x
−
1
)
Question
7
7.
The L.H.S of the equation
(
8
x
+
2
)
=
(
−
2
x
−
8
)
is
(i)
(
8
x
+
4
)
(ii)
(
−
2
x
−
8
)
(iii)
(
8
x
+
2
)
(iv)
(
7
x
+
2
)
(v)
(
8
x
−
1
)
Question
8
8.
Solve :
(
5
x
−
4
)
+
(
4
x
+
2
)
2
=
(
2
x
−
4
)
14
(i)
19
46
(ii)
19
48
(iii)
17
48
(iv)
19
50
(v)
7
16
Question
9
9.
Which of the following equations is the same as
(
−
2
x
+
6
)
=
(
−
4
x
−
1
)
(i)
(
−
2
x
+
8
)
=
(
−
4
x
+
1
)
(ii)
(
−
2
x
+
8
)
=
(
−
4
x
−
4
)
(iii)
(
−
2
x
+
7
)
=
(
−
4
x
+
1
)
(iv)
(
−
2
x
+
9
)
=
(
−
4
x
+
1
)
(v)
(
−
2
x
+
8
)
=
(
−
4
x
+
6
)
Question
10
10.
Which of the following is a linear equation in three variable?
(i)
(
4
x
−
2
y
+
4
z
+
7
)
=
(
−
3
x
+
5
y
+
z
)
(ii)
(
−
5
x
2
+
29
x
y
−
49
x
+
6
y
2
+
46
y
−
72
)
=
0
(iii)
(
−
7
x
2
+
13
x
+
24
)
=
(
−
x
−
6
)
(iv)
(
−
8
x
+
1
)
=
(
7
x
+
8
)
(v)
(
−
x
−
9
y
+
5
)
=
(
2
x
+
4
y
−
4
)
Question
11
11.
Solve :
(
x
+
1
)
3
+
(
x
+
4
)
12
=
(
−
x
−
1
)
4
(i)
(
-9
8
)
(ii)
(
-13
8
)
(iii)
(
-3
2
)
(iv)
(
-11
8
)
(v)
(
-13
10
)
Question
12
12.
Which of the following equations is not the same as
(
−
6
x
+
9
)
=
(
−
2
)
(i)
(
−
24
x
+
36
)
=
(
−
8
)
(ii)
(
6
x
−
9
)
=
(
−
3
)
(iii)
(
12
x
−
18
)
=
4
(iv)
(
18
x
−
27
)
=
6
(v)
(
−
30
x
+
45
)
=
(
−
10
)
Question
13
13.
The value of
x
in terms of other variables and constant in
(
7
x
+
9
)
=
(
−
5
x
+
1
)
is
(i)
x
=
(
−
2
3
)
(ii)
x
=
(
−
2
)
(iii)
x
=
0
(iv)
x
=
(
−
4
3
)
(v)
x
=
(
−
2
5
)
Question
14
14.
Which of the following equations is the same as
(
8
x
−
6
)
=
(
−
4
)
(i)
(
8
x
−
13
)
=
(
−
8
)
(ii)
(
8
x
−
7
)
=
(
−
8
)
(iii)
(
8
x
−
10
)
=
(
−
9
)
(iv)
(
8
x
−
10
)
=
(
−
7
)
(v)
(
8
x
−
10
)
=
(
−
8
)
Question
15
15.
The L.H.S of the equation
(
−
7
x
+
8
)
=
0
is
(i)
(
−
7
x
+
8
)
(ii)
0
(iii)
(
−
7
x
+
10
)
(iv)
(
−
7
x
+
6
)
(v)
(
−
8
x
+
8
)
Question
16
16.
Which of the following equations is not the same as
(
−
9
x
−
6
)
=
(
−
5
x
−
2
)
(i)
(
−
9
x
−
8
)
=
(
−
5
x
−
4
)
(ii)
(
−
9
x
−
3
)
=
(
−
5
x
+
1
)
(iii)
(
−
9
x
−
10
)
=
(
−
5
x
+
2
)
(iv)
(
−
9
x
−
4
)
=
(
−
5
x
)
(v)
(
−
9
x
−
9
)
=
(
−
5
x
−
5
)
Question
17
17.
Solve the equation
(
−
7
5
x
−
8
)
=
(
−
3
4
)
(i)
(
-31
6
)
(ii)
(
-143
28
)
(iii)
(
-135
26
)
(iv)
(
-21
4
)
(v)
(
-145
28
)
Question
18
18.
Which of the following equations is not equivalent to
(
5
x
−
3
)
=
0
(i)
(
−
25
x
)
=
(
−
15
)
(ii)
5
x
=
4
(iii)
(
−
20
x
)
=
(
−
12
)
(iv)
(
−
10
x
)
=
(
−
6
)
(v)
15
x
=
9
Question
19
19.
Solve :
(
x
−
5
)
3
+
x
9
=
(
−
x
+
1
)
2
(i)
41
17
(ii)
43
19
(iii)
37
17
(iv)
39
17
(v)
7
3
Question
20
20.
Solve :
−
8
(
x
−
9
)
+
4
(
x
−
2
)
=
7
(
x
−
2
)
−
11
(
x
+
2
)
(i)
67
23
(ii)
73
25
(iii)
69
25
(iv)
71
25
(v)
25
9
Question
21
21.
Which of the following equations is not the same as
(
x
+
7
)
=
2
(i)
(
x
+
3
)
=
(
−
2
)
(ii)
(
x
+
9
)
=
0
(iii)
(
x
+
12
)
=
7
(iv)
(
x
+
2
)
=
(
−
3
)
(v)
(
x
+
11
)
=
6
Question
22
22.
Solve :
(
−
5
x
−
1
)
+
(
−
3
x
)
2
=
(
−
x
−
3
)
(i)
2
11
(ii)
4
13
(iii)
6
11
(iv)
4
11
(v)
4
9
Question
23
23.
Solve :
(
−
8
)
(
−
5
x
+
1
)
=
(
−
3
)
(
−
5
x
−
5
)
(i)
(
-5
3
)
(ii)
(
-41
25
)
(iii)
(
-43
25
)
(iv)
(
-9
5
)
(v)
(
-41
23
)
Question
24
24.
Which of the following equations is not the same as
(
−
7
x
−
3
)
=
(
−
3
x
−
5
)
(i)
(
7
x
+
3
)
=
(
3
x
+
5
)
(ii)
(
35
x
+
15
)
=
(
15
x
+
25
)
(iii)
(
28
x
+
12
)
=
(
12
x
+
20
)
(iv)
(
−
21
x
−
9
)
=
(
−
9
x
−
15
)
(v)
(
14
x
+
6
)
=
(
−
3
x
−
7
)
Question
25
25.
Which of the following equations is the same as
(
2
x
+
5
)
=
2
(i)
(
10
x
+
4
)
=
(
−
8
x
+
3
)
(ii)
(
−
5
x
+
10
)
=
(
7
x
−
3
)
(iii)
(
−
5
x
+
10
)
=
(
−
7
x
+
7
)
(iv)
9
x
=
(
−
7
x
+
7
)
(v)
(
−
6
x
+
6
)
=
(
8
x
+
1
)
Assignment Key
1) (i)
2) (iv)
3) (i)
4) (iii)
5) (iv)
6) (iv)
7) (iii)
8) (ii)
9) (i)
10) (i)
11) (iv)
12) (ii)
13) (i)
14) (v)
15) (i)
16) (iii)
17) (v)
18) (ii)
19) (iv)
20) (iv)
21) (ii)
22) (iv)
23) (iii)
24) (v)
25) (iii)
