EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Linear Equations
Grade : ICSE Grade VII
License : Non Commercial Use
Question
1
1.
Which of the following equations is not the same as
(
5
x
−
8
)
=
0
(i)
(
5
x
−
12
)
=
(
−
4
)
(ii)
(
5
x
−
9
)
=
(
−
1
)
(iii)
(
5
x
−
4
)
=
4
(iv)
(
5
x
−
6
)
=
(
−
2
)
(v)
(
5
x
−
7
)
=
1
Question
2
2.
Which of the following equations is the same as
(
8
x
−
8
)
=
(
−
2
)
(i)
(
8
x
−
7
)
=
(
−
5
)
(ii)
(
8
x
−
7
)
=
3
(iii)
(
8
x
−
7
)
=
(
−
1
)
(iv)
(
8
x
−
10
)
=
(
−
1
)
(v)
(
8
x
−
4
)
=
(
−
1
)
Question
3
3.
Which of the following equations is equivalent to
(
7
x
+
6
)
=
0
(i)
7
x
=
(
−
1
)
(ii)
7
x
=
(
−
2
)
(iii)
7
x
=
(
−
10
)
(iv)
7
x
=
(
−
6
)
(v)
7
x
=
(
−
11
)
Question
4
4.
Which of the following equations is equivalent to
(
−
6
x
−
6
)
=
(
−
2
x
−
4
)
(i)
(
−
4
x
)
=
4
(ii)
(
−
4
x
)
=
(
−
1
)
(iii)
(
−
4
x
)
=
2
(iv)
(
−
4
x
)
=
5
(v)
(
−
4
x
)
=
0
Question
5
5.
Solve :
4
(
x
+
4
)
−
9
(
x
−
1
)
=
−
1
(
x
−
1
)
−
4
(
x
+
3
)
(i)
(
-37
11
)
(ii)
(
-11
3
)
(iii)
(
-29
9
)
(iv)
(
-25
7
)
(v)
(
-31
9
)
Question
6
6.
Solve :
(
−
5
x
+
5
)
+
(
2
x
−
1
)
14
=
(
−
5
x
−
2
)
2
(i)
79
31
(ii)
83
33
(iii)
85
33
(iv)
87
35
(v)
27
11
Question
7
7.
Which of the following equations is the same as
(
9
x
−
4
)
=
(
7
x
+
9
)
(i)
(
9
x
−
5
)
=
(
7
x
+
4
)
(ii)
(
9
x
−
8
)
=
(
7
x
+
8
)
(iii)
(
9
x
−
5
)
=
(
7
x
+
8
)
(iv)
(
9
x
−
2
)
=
(
7
x
+
8
)
(v)
(
9
x
−
5
)
=
(
7
x
+
12
)
Question
8
8.
Which of the following equations is not the same as
(
−
x
−
5
)
=
(
−
6
)
(i)
(
−
x
−
2
)
=
(
−
3
)
(ii)
(
−
x
−
1
)
=
(
−
2
)
(iii)
(
−
x
−
9
)
=
(
−
10
)
(iv)
(
−
x
−
6
)
=
(
−
5
)
(v)
(
−
x
−
8
)
=
(
−
9
)
Question
9
9.
The additive inverse of the expression
(
3
x
+
2
)
is
(i)
(
−
3
x
)
(ii)
(
−
3
x
−
5
)
(iii)
(
−
4
x
−
2
)
(iv)
(
3
x
+
2
)
(v)
(
−
3
x
−
2
)
Question
10
10.
Solve :
(
x
−
3
)
+
(
−
x
−
4
)
14
=
(
x
−
3
)
7
(i)
40
11
(ii)
46
13
(iii)
34
9
(iv)
42
11
(v)
38
11
Question
11
11.
Which of the following is a linear equation in three variable?
(i)
(
2
x
−
6
y
−
4
z
−
5
)
=
0
(ii)
(
−
54
x
2
−
75
x
y
+
84
x
+
9
y
2
+
10
y
−
16
)
=
0
(iii)
(
−
6
x
+
5
)
=
0
(iv)
(
−
18
x
2
−
27
x
−
10
)
=
0
(v)
(
−
2
x
+
4
y
+
4
)
=
0
Question
12
12.
Which of the following equations is not the same as
(
−
7
x
−
6
)
=
0
(i)
(
−
12
x
−
10
)
=
(
−
5
x
−
4
)
(ii)
(
−
15
x
−
15
)
=
(
−
8
x
−
9
)
(iii)
(
−
2
x
−
2
)
=
(
−
5
x
−
4
)
(iv)
(
x
+
3
)
=
(
8
x
+
9
)
(v)
(
−
2
x
−
2
)
=
(
5
x
+
4
)
Question
13
13.
Which of the following equations is not the same as
(
−
2
x
−
3
)
=
(
9
x
+
3
)
(i)
(
−
2
x
−
6
)
=
9
x
(ii)
(
−
2
x
)
=
(
9
x
+
6
)
(iii)
(
−
2
x
−
1
)
=
(
9
x
+
5
)
(iv)
(
−
2
x
−
4
)
=
(
9
x
+
4
)
(v)
(
−
2
x
−
5
)
=
(
9
x
+
1
)
Question
14
14.
Which of the following equations is the same as
(
8
x
+
6
)
=
(
2
x
−
2
)
(i)
(
6
x
+
3
)
=
(
4
x
+
1
)
(ii)
(
10
x
+
9
)
=
(
−
5
)
(iii)
(
−
x
+
4
)
=
11
x
(iv)
(
6
x
+
3
)
=
(
−
5
)
(v)
(
17
x
+
8
)
=
(
−
7
x
−
4
)
Question
15
15.
Solve :
(
−
x
)
4
+
(
−
x
−
3
)
12
=
(
−
x
+
5
)
(i)
49
6
(ii)
63
8
(iii)
77
10
(iv)
61
8
(v)
65
8
Question
16
16.
The value of
x
in terms of other variables and constant in
(
−
5
x
+
8
)
=
(
7
x
+
7
)
is
(i)
x
=
1
4
(ii)
x
=
1
10
(iii)
x
=
1
12
(iv)
x
=
1
14
(v)
x
=
(
−
1
12
)
Question
17
17.
Which of the following equations is not the same as
(
−
7
x
−
5
)
=
(
2
x
−
3
)
(i)
(
−
1
)
=
(
−
5
x
−
7
)
(ii)
(
−
4
x
−
4
)
=
(
5
x
−
2
)
(iii)
(
−
14
x
−
9
)
=
(
−
5
x
−
7
)
(iv)
(
−
1
)
=
(
9
x
+
1
)
(v)
(
−
10
x
−
6
)
=
(
−
x
−
4
)
Question
18
18.
Which of the following equations is not the same as
(
3
x
−
4
)
=
0
(i)
(
6
x
−
8
)
=
0
(ii)
(
12
x
−
16
)
=
0
(iii)
(
−
6
x
+
8
)
=
0
(iv)
(
−
15
x
+
20
)
=
(
−
5
)
(v)
(
−
12
x
+
16
)
=
0
Question
19
19.
Which of the following equations is not the same as
3
x
=
(
−
9
)
(i)
(
3
x
+
1
)
=
(
−
8
)
(ii)
(
3
x
+
4
)
=
(
−
5
)
(iii)
(
3
x
−
4
)
=
(
−
13
)
(iv)
(
3
x
−
1
)
=
(
−
10
)
(v)
(
3
x
+
3
)
=
(
−
12
)
Question
20
20.
Which of the following equations is not the same as
(
−
8
x
+
2
)
=
0
(i)
(
−
x
−
1
)
=
(
−
7
x
+
3
)
(ii)
(
−
15
x
+
5
)
=
(
−
7
x
+
3
)
(iii)
(
−
x
−
1
)
=
(
7
x
−
3
)
(iv)
(
−
3
x
−
7
)
=
(
5
x
−
9
)
(v)
(
−
13
x
+
11
)
=
(
−
5
x
+
9
)
Question
21
21.
Solve the equation
(
7
x
+
4
)
=
9
(i)
5
7
(ii)
3
7
(iii)
1
(iv)
5
9
Question
22
22.
The additive inverse of the expression
(
−
6
)
is
(i)
8
(ii)
(
−
6
)
(iii)
5
(iv)
6
(v)
4
Question
23
23.
Solve the equation
(
x
−
5
)
=
0
(i)
3
(ii)
7
(iii)
6
(iv)
5
(v)
4
Question
24
24.
Which of the following is a linear equation in one variable?
(i)
(
−
9
x
+
5
y
)
=
(
8
x
+
y
−
2
)
(ii)
(
−
4
x
+
8
y
+
9
z
+
2
)
=
(
3
x
+
2
y
−
2
z
+
2
)
(iii)
(
32
x
2
−
12
x
y
−
68
x
−
27
y
2
+
54
y
+
21
)
=
0
(iv)
(
−
3
x
−
5
)
=
(
−
6
x
−
8
)
(v)
(
−
63
x
2
+
14
x
)
=
(
−
3
x
+
2
)
Question
25
25.
Solve :
(
−
3
x
+
3
)
+
(
−
2
x
−
3
)
18
=
(
−
3
x
+
3
)
(i)
(
-5
2
)
(ii)
(
-5
4
)
(iii)
-2
(iv)
(
-3
2
)
(v)
(
-1
2
)
Assignment Key
1) (iv)
2) (iii)
3) (iv)
4) (iii)
5) (v)
6) (ii)
7) (iii)
8) (iv)
9) (v)
10) (i)
11) (i)
12) (iii)
13) (iv)
14) (iv)
15) (ii)
16) (iii)
17) (i)
18) (iv)
19) (v)
20) (i)
21) (i)
22) (iv)
23) (iv)
24) (iv)
25) (iv)
