EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Simple Linear Equations
Grade : ICSE Grade VIII
License : Non Commercial Use
Question
1
1.
Solve :
3
(
x
+
4
)
−
4
(
x
+
2
)
=
−
5
(
x
+
2
)
+
4
(
x
−
2
)
(i)
(
-22
9
)
(ii)
(
-28
11
)
(iii)
(
-24
11
)
(iv)
(
-26
11
)
(v)
(
-30
13
)
Question
2
2.
Which of the following equations is the same as
(
2
x
+
4
)
=
0
(i)
(
3
x
+
7
)
=
(
−
x
−
3
)
(ii)
(
−
5
x
+
8
)
=
(
7
x
−
4
)
(iii)
(
−
5
x
+
8
)
=
(
−
7
x
+
4
)
(iv)
(
x
+
1
)
=
(
x
+
3
)
(v)
9
x
=
(
−
7
x
+
4
)
Question
3
3.
The ratio of two numbers is
4
:
2
and their LCM is 52. Find the numbers.
(i)
48
:
24
(ii)
56
:
28
(iii)
44
:
22
(iv)
52
:
26
(v)
60
:
30
Question
4
4.
Which of the following equations is the same as
(
8
x
+
9
)
=
0
(i)
(
8
x
+
11
)
=
2
(ii)
(
8
x
+
10
)
=
2
(iii)
(
8
x
+
12
)
=
2
(iv)
(
8
x
+
11
)
=
5
(v)
(
8
x
+
11
)
=
(
−
1
)
Question
5
5.
Person P is
five times
as good a workman as Person Q.
They can do a work together in
5
5
6
days
.
In how many days Q alone can do the work?
(i)
35
days
(ii)
32
days
(iii)
34
days
(iv)
37
days
(v)
36
days
Question
6
6.
Which of the following equations is the same as
(
−
2
x
+
1
)
=
(
−
1
)
(i)
(
−
2
x
)
=
(
−
2
)
(ii)
(
−
2
x
+
3
)
=
(
−
2
)
(iii)
(
−
2
x
)
=
(
−
7
)
(iv)
(
−
2
x
−
3
)
=
(
−
2
)
(v)
(
−
2
x
)
=
3
Question
7
7.
Which of the following equations is not the same as
(
3
x
−
3
)
=
0
(i)
(
−
12
x
+
12
)
=
0
(ii)
(
−
15
x
+
15
)
=
0
(iii)
(
6
x
−
6
)
=
2
(iv)
(
−
6
x
+
6
)
=
0
(v)
(
15
x
−
15
)
=
0
Question
8
8.
The R.H.S of the equation
(
−
5
x
−
3
)
=
0
is
(i)
2
(ii)
(
−
5
x
−
3
)
(iii)
(
−
1
)
(iv)
0
(v)
(
−
3
)
Question
9
9.
Which of the following equations is not the same as
(
−
4
x
+
6
)
=
7
(i)
(
−
4
x
+
2
)
=
3
(ii)
(
−
4
x
+
5
)
=
8
(iii)
(
−
4
x
+
10
)
=
11
(iv)
(
−
4
x
+
1
)
=
2
(v)
(
−
4
x
+
11
)
=
12
Question
10
10.
In a right-angled triangle, the two acute angles are in the ratio 1 : 1. Find these angles.
(i)
A
=
44°
,
C
=
44°
(ii)
A
=
47°
,
C
=
47°
(iii)
A
=
45°
,
C
=
45°
(iv)
A
=
46°
,
C
=
46°
(v)
A
=
43°
,
C
=
43°
Question
11
11.
Solve :
6
(
x
+
1
)
5
=
(
x
−
5
)
4
(i)
(
-47
19
)
(ii)
(
-53
21
)
(iii)
(
-45
17
)
(iv)
(
-49
19
)
(v)
(
-51
19
)
Question
12
12.
Which of the following equations is not the same as
(
−
2
x
+
6
)
=
(
−
2
)
(i)
(
−
10
x
+
30
)
=
3
(ii)
(
−
4
x
+
12
)
=
(
−
4
)
(iii)
(
6
x
−
18
)
=
6
(iv)
(
−
6
x
+
18
)
=
(
−
6
)
(v)
(
8
x
−
24
)
=
8
Question
13
13.
Which of the following equations is the same as
(
4
x
−
7
)
=
0
(i)
(
4
x
−
9
)
=
1
(ii)
(
4
x
−
10
)
=
(
−
2
)
(iii)
(
4
x
−
8
)
=
(
−
2
)
(iv)
(
4
x
−
9
)
=
(
−
5
)
(v)
(
4
x
−
9
)
=
(
−
2
)
Question
14
14.
Which of the following equations is not the same as
(
−
9
x
−
5
)
=
1
(i)
(
−
2
x
+
1
)
=
(
7
x
+
7
)
(ii)
(
−
16
x
−
11
)
=
(
−
7
x
−
5
)
(iii)
(
−
2
x
+
1
)
=
(
−
7
x
−
5
)
(iv)
(
−
10
x
−
3
)
=
(
−
x
+
3
)
(v)
(
−
8
x
−
7
)
=
(
x
−
1
)
Question
15
15.
Which of the following equations is the same as
(
2
x
+
5
)
=
0
(i)
(
10
x
+
25
)
=
1
(ii)
(
10
x
+
21
)
=
0
(iii)
(
10
x
+
25
)
=
0
(iv)
(
10
x
+
25
)
=
(
−
1
)
(v)
(
10
x
+
29
)
=
0
Question
16
16.
The L.H.S of the equation
(
−
5
x
−
5
)
=
(
−
9
)
is
(i)
(
−
6
x
−
5
)
(ii)
(
−
5
x
−
5
)
(iii)
(
−
9
)
(iv)
(
−
5
x
−
3
)
(v)
(
−
5
x
−
7
)
Question
17
17.
Which of the following equations is the same as
(
−
9
x
−
5
)
=
(
8
x
−
2
)
(i)
(
−
45
x
−
25
)
=
(
40
x
−
10
)
(ii)
(
−
45
x
−
25
)
=
(
40
x
−
8
)
(iii)
(
−
45
x
−
29
)
=
(
40
x
−
10
)
(iv)
(
−
45
x
−
21
)
=
(
40
x
−
10
)
(v)
(
−
45
x
−
25
)
=
(
40
x
−
12
)
Question
18
18.
Solve :
5
(
x
−
8
)
+
4
(
x
+
8
)
=
9
x
(i)
-69
(ii)
-73
(iii)
-71
(iv)
-72
(v)
-75
Question
19
19.
Solve :
(
5
x
+
3
)
+
(
−
x
+
4
)
14
=
(
3
x
+
2
)
(i)
-2
(ii)
0
(iii)
(
-2
5
)
(iv)
(
-4
3
)
(v)
(
-2
3
)
Question
20
20.
The ages of A and B are in the ratio 10 : 7. 9 years hence, their ages will be in the ratio 11 : 8. Find their present ages.
(i)
70
:
49
(ii)
90
:
63
(iii)
80
:
56
(iv)
110
:
77
Question
21
21.
Which of the following equations is not the same as
(
7
x
−
1
)
=
0
(i)
(
7
x
+
4
)
=
5
(ii)
(
7
x
−
2
)
=
(
−
1
)
(iii)
(
7
x
−
6
)
=
(
−
5
)
(iv)
7
x
=
1
(v)
(
7
x
−
3
)
=
2
Question
22
22.
The R.H.S of the equation
(
−
5
x
−
7
)
=
9
is
(i)
(
−
5
x
−
7
)
(ii)
9
(iii)
6
(iv)
11
(v)
8
Question
23
23.
Which of the following equations is the same as
(
9
x
+
9
)
=
(
−
4
x
−
5
)
(i)
(
16
x
+
5
)
=
(
−
11
x
−
1
)
(ii)
(
2
x
+
13
)
=
(
3
x
−
9
)
(iii)
(
18
x
+
14
)
=
(
−
13
x
−
10
)
(iv)
(
18
x
+
14
)
=
5
x
(v)
4
=
5
x
Question
24
24.
Solve the equation
(
−
6
x
+
3
)
=
2
(i)
(
-1
6
)
(ii)
1
4
(iii)
1
6
(iv)
1
8
(v)
1
2
Question
25
25.
Which of the following equations is not the same as
(
−
2
x
+
6
)
=
0
(i)
(
3
x
−
1
)
=
(
5
x
−
7
)
(ii)
(
2
x
+
7
)
=
(
4
x
+
1
)
(iii)
(
−
6
x
+
5
)
=
(
−
4
x
−
1
)
(iv)
(
−
7
x
+
13
)
=
(
5
x
−
7
)
(v)
(
−
7
x
+
13
)
=
(
−
5
x
+
7
)
Assignment Key
1) (iv)
2) (iii)
3) (iv)
4) (i)
5) (i)
6) (i)
7) (iii)
8) (iv)
9) (ii)
10) (iii)
11) (iv)
12) (i)
13) (v)
14) (iii)
15) (iii)
16) (ii)
17) (i)
18) (iv)
19) (v)
20) (ii)
21) (v)
22) (ii)
23) (iv)
24) (iii)
25) (iv)
