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 the same as
(
7
x
+
4
)
=
0
(i)
(
14
x
+
11
)
=
0
(ii)
(
14
x
+
8
)
=
(
−
1
)
(iii)
(
14
x
+
5
)
=
0
(iv)
(
14
x
+
8
)
=
0
(v)
(
14
x
+
8
)
=
1
Question
2
2.
Which of the following equations is equivalent to
(
2
x
+
4
)
=
0
(i)
2
x
=
0
(ii)
2
x
=
(
−
4
)
(iii)
2
x
=
(
−
5
)
(iv)
2
x
=
(
−
3
)
(v)
2
x
=
(
−
8
)
Question
3
3.
Which of the following equations is the same as
(
8
x
+
6
)
=
(
−
9
)
(i)
(
14
x
−
1
)
=
(
−
6
x
−
2
)
(ii)
(
3
x
+
8
)
=
(
5
x
−
11
)
(iii)
(
2
x
+
13
)
=
(
6
x
−
16
)
(iv)
(
13
x
+
4
)
=
(
−
5
x
−
7
)
(v)
(
13
x
+
4
)
=
(
5
x
−
11
)
Question
4
4.
Which of the following equations is the same as
(
−
3
x
−
4
)
=
(
−
9
)
(i)
(
−
3
x
−
2
)
=
(
−
3
)
(ii)
(
−
3
x
+
3
)
=
(
−
7
)
(iii)
(
−
3
x
−
2
)
=
(
−
7
)
(iv)
(
−
3
x
−
2
)
=
(
−
11
)
(v)
(
−
3
x
−
7
)
=
(
−
7
)
Question
5
5.
Solve :
8
(
4
x
+
8
)
+
9
(
4
x
−
8
)
=
17
4
x
(i)
-33
(ii)
-35
(iii)
-31
(iv)
-34
(v)
-37
Question
6
6.
Solve :
(
−
x
−
5
)
+
(
−
x
+
5
)
2
=
(
−
x
)
(i)
-6
(ii)
-4
(iii)
-3
(iv)
-5
(v)
-7
Question
7
7.
The L.H.S of the equation
(
5
x
+
2
)
=
(
−
4
x
+
3
)
is
(i)
(
4
x
+
2
)
(ii)
(
−
4
x
+
3
)
(iii)
(
5
x
−
1
)
(iv)
(
5
x
+
4
)
(v)
(
5
x
+
2
)
Question
8
8.
Which of the following equations is the same as
(
−
x
+
5
)
=
(
−
2
)
(i)
4
=
(
x
−
3
)
(ii)
(
3
x
+
14
)
=
(
−
4
x
−
11
)
(iii)
4
=
(
−
x
−
1
)
(iv)
(
−
5
x
−
4
)
=
(
4
x
+
7
)
(v)
(
−
2
x
+
6
)
=
(
x
−
3
)
Question
9
9.
Which of the following equations is the same as
(
7
x
+
6
)
=
0
(i)
(
−
x
+
15
)
=
(
8
x
−
9
)
(ii)
(
12
x
+
2
)
=
(
5
x
−
4
)
(iii)
(
12
x
+
2
)
=
(
−
5
x
+
4
)
(iv)
(
2
x
+
10
)
=
(
5
x
−
4
)
(v)
(
15
x
−
3
)
=
(
−
8
x
+
9
)
Question
10
10.
Which of the following equations is the same as
4
x
=
(
x
−
6
)
(i)
(
4
x
−
3
)
=
(
x
−
8
)
(ii)
(
4
x
+
2
)
=
(
x
−
9
)
(iii)
(
4
x
−
3
)
=
(
x
−
10
)
(iv)
(
4
x
−
3
)
=
(
x
−
9
)
(v)
(
4
x
−
8
)
=
(
x
−
9
)
Question
11
11.
The additive inverse of the expression
(
−
5
x
+
9
)
is
(i)
(
5
x
−
7
)
(ii)
(
4
x
−
9
)
(iii)
(
5
x
−
11
)
(iv)
(
−
5
x
+
9
)
(v)
(
5
x
−
9
)
Question
12
12.
Which of the following equations is equivalent to
(
−
9
x
−
9
)
=
3
(i)
(
−
9
x
)
=
15
(ii)
(
−
9
x
)
=
17
(iii)
(
−
9
x
)
=
7
(iv)
(
−
9
x
)
=
12
(v)
(
−
9
x
)
=
9
Question
13
13.
The R.H.S of the equation
(
−
7
x
−
3
)
=
(
−
6
)
is
(i)
(
−
6
)
(ii)
(
−
9
)
(iii)
(
−
3
)
(iv)
(
−
7
x
−
3
)
(v)
(
−
7
)
Question
14
14.
Which of the following equations is the same as
(
−
5
x
+
2
)
=
8
(i)
(
20
x
−
8
)
=
(
−
32
)
(ii)
(
20
x
−
8
)
=
(
−
27
)
(iii)
(
20
x
−
13
)
=
(
−
32
)
(iv)
(
20
x
−
3
)
=
(
−
32
)
(v)
(
20
x
−
8
)
=
(
−
37
)
Question
15
15.
Solve :
(
x
+
3
)
+
(
x
+
1
)
3
=
(
x
+
1
)
6
(i)
(
-17
7
)
(ii)
(
-19
7
)
(iii)
(
-23
9
)
(iv)
-3
Question
16
16.
Solve :
7
(
4
x
−
3
)
+
6
(
4
x
+
3
)
=
13
4
x
(i)
(
-41
4
)
(ii)
(
-19
2
)
(iii)
(
-39
4
)
(iv)
(
-37
4
)
(v)
(
-21
2
)
Question
17
17.
Solve :
(
4
x
+
1
)
10
+
(
−
5
x
+
3
)
2
=
(
−
4
x
+
1
)
(i)
(
-4
19
)
(ii)
(
-6
19
)
(iii)
(
-2
7
)
(iv)
(
-8
19
)
(v)
(
-6
17
)
Question
18
18.
Which of the following is a linear equation in two variable?
(i)
(
49
x
2
−
49
x
y
−
63
x
+
10
y
2
+
39
y
+
14
)
=
0
(ii)
(
6
x
−
8
y
)
=
0
(iii)
(
−
5
x
−
2
)
=
0
(iv)
(
−
35
x
2
−
67
x
−
30
)
=
0
(v)
(
−
8
x
−
2
y
−
3
z
+
8
)
=
0
Question
19
19.
Which of the following equations is not the same as
(
−
2
x
+
6
)
=
0
(i)
(
−
3
x
+
6
)
=
(
−
x
)
(ii)
(
−
x
+
6
)
=
x
(iii)
(
2
x
+
11
)
=
(
4
x
+
5
)
(iv)
(
2
x
+
11
)
=
(
−
4
x
−
5
)
(v)
(
−
6
x
+
1
)
=
(
−
4
x
−
5
)
Question
20
20.
The L.H.S of the equation
(
−
4
x
+
2
)
=
7
is
(i)
(
−
5
x
+
2
)
(ii)
7
(iii)
(
−
4
x
+
5
)
(iv)
(
−
4
x
−
1
)
(v)
(
−
4
x
+
2
)
Question
21
21.
Which of the following is a linear equation in two variable?
(i)
(
35
x
2
−
8
x
y
+
58
x
−
3
y
2
−
28
y
−
9
)
=
0
(ii)
(
−
10
x
2
−
35
x
)
=
(
−
5
x
+
7
)
(iii)
(
−
6
x
+
4
y
+
4
)
=
(
−
7
x
−
y
−
7
)
(iv)
(
−
6
x
−
9
y
+
7
z
)
=
(
5
x
+
4
y
−
6
z
)
(v)
(
4
x
−
7
)
=
(
−
5
x
+
7
)
Question
22
22.
Solve :
(
2
x
−
5
)
4
+
(
x
+
5
)
3
=
(
4
x
+
1
)
12
(i)
(
-2
3
)
(ii)
(
-4
3
)
(iii)
-2
(iv)
(
-2
5
)
(v)
0
Question
23
23.
Solve :
(
x
−
1
)
3
+
(
x
−
2
)
=
(
x
−
1
)
2
(i)
11
5
(ii)
9
5
(iii)
15
7
(iv)
13
5
(v)
7
3
Question
24
24.
Which of the following is a linear equation in three variable?
(i)
(
−
9
x
+
7
y
+
9
z
−
4
)
=
0
(ii)
(
18
x
2
−
16
x
)
=
0
(iii)
(
72
x
2
+
136
x
y
+
23
x
+
64
y
2
+
16
y
−
35
)
=
0
(iv)
(
4
x
+
8
y
−
3
)
=
0
(v)
(
6
x
+
5
)
=
0
Question
25
25.
Which of the following is a linear equation in three variable?
(i)
(
−
5
x
+
1
)
=
(
−
8
x
+
9
)
(ii)
(
9
x
2
−
15
x
−
14
)
=
7
x
(iii)
(
−
4
x
+
5
y
−
3
)
=
(
−
7
x
−
y
−
1
)
(iv)
(
35
x
2
+
26
x
y
+
35
x
−
48
y
2
+
56
y
)
=
0
(v)
(
−
9
x
+
2
y
−
2
z
+
8
)
=
(
7
x
+
8
y
−
6
z
+
2
)
Assignment Key
1) (iv)
2) (ii)
3) (v)
4) (iii)
5) (iv)
6) (iv)
7) (v)
8) (i)
9) (ii)
10) (iv)
11) (v)
12) (iv)
13) (i)
14) (i)
15) (ii)
16) (iii)
17) (ii)
18) (ii)
19) (iv)
20) (v)
21) (iii)
22) (i)
23) (i)
24) (i)
25) (v)
