EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Linear Equations
Grade : ICSE Grade VII
License : Non Commercial Use
Question
1
1.
Solve :
(
x
+
1
)
5
+
(
−
x
)
4
=
(
x
+
1
)
20
(i)
3
2
(ii)
5
4
(iii)
1
2
(iv)
2
(v)
5
2
Question
2
2.
Solve :
(
−
2
x
+
1
)
+
(
2
x
+
1
)
4
=
(
3
x
+
2
)
(i)
(
-1
6
)
(ii)
(
-1
4
)
(iii)
1
6
(iv)
(
-1
2
)
(v)
(
-1
8
)
Question
3
3.
Which of the following equations is the same as
(
−
8
x
)
=
(
−
6
)
(i)
(
−
16
x
−
9
)
=
(
8
x
+
3
)
(ii)
9
=
(
−
8
x
−
15
)
(iii)
3
=
(
−
8
x
−
9
)
(iv)
3
=
(
8
x
−
3
)
(v)
(
−
16
x
−
3
)
=
(
8
x
−
3
)
Question
4
4.
Solve :
(
−
x
−
1
)
2
+
(
x
−
1
)
4
=
(
x
−
2
)
(i)
1
(ii)
-2
(iii)
0
(iv)
4
(v)
2
Question
5
5.
Which of the following equations is not equivalent to
(
2
x
+
4
)
=
(
−
8
x
+
6
)
(i)
30
x
=
6
(ii)
(
−
30
x
)
=
(
−
6
)
(iii)
(
−
50
x
)
=
(
−
10
)
(iv)
10
x
=
2
(v)
10
x
=
0
Question
6
6.
Solve :
(
−
x
+
1
)
+
(
x
−
5
)
20
=
(
x
−
3
)
4
(i)
7
4
(ii)
5
4
(iii)
3
2
(iv)
3
4
(v)
7
6
Question
7
7.
The additive inverse of the expression
(
2
x
+
8
)
is
(i)
(
−
2
x
−
6
)
(ii)
(
−
3
x
−
8
)
(iii)
(
−
2
x
−
10
)
(iv)
(
−
2
x
−
8
)
(v)
(
2
x
+
8
)
Question
8
8.
The value of
x
in terms of other variables and constant in
(
−
4
x
−
9
)
=
(
−
7
x
−
1
)
is
(i)
x
=
8
3
(ii)
x
=
12
5
(iii)
x
=
4
(iv)
x
=
2
(v)
x
=
10
3
Question
9
9.
Which of the following is a linear equation in three variable?
(i)
(
10
x
2
−
25
x
−
35
)
=
(
−
2
x
+
5
)
(ii)
(
3
x
+
4
)
=
(
−
9
x
−
6
)
(iii)
(
21
x
2
+
41
x
y
−
43
x
+
18
y
2
−
59
y
−
14
)
=
0
(iv)
(
−
4
x
−
8
y
+
6
)
=
(
−
8
x
−
4
y
+
9
)
(v)
(
−
9
x
+
4
y
+
7
z
+
8
)
=
(
−
4
x
+
2
y
+
8
z
−
3
)
Question
10
10.
Solve the equation
(
−
4
x
)
=
(
−
3
)
(i)
3
4
(ii)
5
4
(iii)
1
2
(iv)
3
2
(v)
1
4
Question
11
11.
Which of the following equations is equivalent to
(
−
4
x
+
9
)
=
6
(i)
(
−
4
x
)
=
0
(ii)
(
−
4
x
)
=
(
−
1
)
(iii)
(
−
4
x
)
=
(
−
3
)
(iv)
(
−
4
x
)
=
(
−
5
)
(v)
(
−
4
x
)
=
(
−
6
)
Question
12
12.
Solve the equation
(
−
3
x
−
9
)
=
0
(i)
-1
(ii)
-2
(iii)
-6
(iv)
-4
(v)
-3
Question
13
13.
The L.H.S of the equation
(
x
−
9
)
=
0
is
(i)
0
(ii)
(
x
−
6
)
(iii)
(
x
−
11
)
(iv)
(
x
−
9
)
(v)
(
−
9
)
Question
14
14.
Solve the equation
(
9
x
+
8
)
=
(
−
4
)
(i)
(
-4
3
)
(ii)
(
-2
3
)
(iii)
(
-6
5
)
(iv)
-2
Question
15
15.
Solve :
−
3
(
x
−
3
)
−
1
(
x
−
1
)
=
5
(
x
−
1
)
−
9
(
x
+
3
)
(i)
15
7
(ii)
11
5
(iii)
13
7
(iv)
17
7
(v)
19
9
Question
16
16.
Which of the following equations is not the same as
(
7
x
−
3
)
=
0
(i)
(
6
x
−
4
)
=
(
−
x
−
1
)
(ii)
(
6
x
−
2
)
=
(
−
x
+
1
)
(iii)
(
8
x
−
4
)
=
(
x
−
1
)
(iv)
(
8
x
−
4
)
=
(
−
x
+
1
)
(v)
(
8
x
−
2
)
=
(
x
+
1
)
Question
17
17.
Which of the following equations is the same as
(
x
+
9
)
=
0
(i)
(
x
+
4
)
=
(
−
1
)
(ii)
(
x
+
4
)
=
(
−
9
)
(iii)
(
x
+
5
)
=
(
−
5
)
(iv)
(
x
+
3
)
=
(
−
5
)
(v)
(
x
+
4
)
=
(
−
5
)
Question
18
18.
Which of the following equations is not the same as
8
x
=
(
−
5
)
(i)
(
8
x
+
3
)
=
(
−
8
)
(ii)
(
8
x
+
5
)
=
0
(iii)
(
8
x
+
4
)
=
(
−
1
)
(iv)
(
8
x
−
4
)
=
(
−
9
)
(v)
(
8
x
−
5
)
=
(
−
10
)
Question
19
19.
Which of the following equations is equivalent to
(
4
x
+
5
)
=
(
−
7
x
+
6
)
(i)
11
x
=
(
−
1
)
(ii)
11
x
=
(
−
2
)
(iii)
11
x
=
1
(iv)
11
x
=
4
(v)
11
x
=
3
Question
20
20.
Solve :
(
x
+
2
)
+
(
−
x
−
4
)
=
x
4
(i)
-9
(ii)
-7
(iii)
-8
(iv)
-5
(v)
-10
Question
21
21.
Which of the following equations is the same as
(
2
x
+
1
)
=
5
(i)
(
−
6
x
−
3
)
=
(
−
17
)
(ii)
(
−
6
x
−
2
)
=
(
−
15
)
(iii)
(
−
6
x
−
4
)
=
(
−
15
)
(iv)
(
−
6
x
−
3
)
=
(
−
15
)
(v)
(
−
6
x
−
3
)
=
(
−
13
)
Question
22
22.
Which of the following equations is not the same as
(
2
x
+
4
)
=
0
(i)
(
2
x
+
8
)
=
(
−
4
)
(ii)
(
2
x
+
5
)
=
1
(iii)
(
2
x
+
3
)
=
(
−
1
)
(iv)
(
2
x
+
7
)
=
3
(v)
(
2
x
+
1
)
=
(
−
3
)
Question
23
23.
Which of the following equations is the same as
(
−
7
x
−
9
)
=
0
(i)
(
−
7
x
−
1
)
=
3
(ii)
(
−
7
x
−
6
)
=
1
(iii)
(
−
7
x
−
6
)
=
3
(iv)
(
−
7
x
−
11
)
=
3
(v)
(
−
7
x
−
6
)
=
5
Question
24
24.
Which of the following equations is the same as
(
−
9
x
+
3
)
=
(
6
x
+
3
)
(i)
(
−
6
x
+
10
)
=
(
9
x
+
10
)
(ii)
(
−
7
x
+
2
)
=
(
4
x
+
4
)
(iii)
(
−
12
x
−
4
)
=
(
9
x
+
10
)
(iv)
(
−
11
x
+
4
)
=
(
8
x
+
2
)
(v)
(
−
6
x
+
10
)
=
(
3
x
−
4
)
Question
25
25.
Which of the following is a linear equation in two variable?
(i)
(
30
x
2
−
57
x
+
21
)
=
(
−
9
x
−
5
)
(ii)
(
−
4
x
2
+
16
x
y
+
18
x
−
16
y
2
−
36
y
−
14
)
=
0
(iii)
(
8
x
−
3
y
−
4
)
=
(
5
x
+
2
y
+
1
)
(iv)
(
7
x
−
2
y
−
2
z
+
1
)
=
(
−
4
x
−
y
+
3
z
−
3
)
(v)
(
−
3
x
+
9
)
=
(
−
6
x
+
8
)
Assignment Key
1) (i)
2) (i)
3) (iv)
4) (i)
5) (v)
6) (ii)
7) (iv)
8) (i)
9) (v)
10) (i)
11) (iii)
12) (v)
13) (iv)
14) (i)
15) (i)
16) (iv)
17) (v)
18) (i)
19) (iii)
20) (iii)
21) (iv)
22) (i)
23) (iii)
24) (i)
25) (iii)
