EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Simple Linear Equations
Grade : ICSE Grade VIII
License : Non Commercial Use
Question
1
1.
Solve :
(
−
8
)
(
x
−
9
)
=
(
−
1
)
(
x
+
5
)
(i)
-6
(ii)
-5
(iii)
-8
(iv)
-7
(v)
-9
Question
2
2.
Solve the equation
(
−
2
x
−
6
)
=
(
−
x
−
8
)
(i)
-1
(ii)
3
(iii)
5
(iv)
1
(v)
2
Question
3
3.
The R.H.S of the equation
(
6
x
−
7
)
=
(
3
x
+
4
)
is
(i)
(
3
x
+
2
)
(ii)
(
2
x
+
4
)
(iii)
(
3
x
+
4
)
(iv)
(
6
x
−
7
)
(v)
(
3
x
+
6
)
Question
4
4.
Which of the following equations is not the same as
(
−
2
x
−
8
)
=
0
(i)
(
−
2
x
−
10
)
=
(
−
2
)
(ii)
(
−
2
x
−
3
)
=
5
(iii)
(
−
2
x
−
13
)
=
(
−
5
)
(iv)
(
−
2
x
−
12
)
=
4
(v)
(
−
2
x
−
6
)
=
2
Question
5
5.
Solve the equation
(
8
7
x
−
5
)
=
0
(i)
37
8
(ii)
9
2
(iii)
33
8
(iv)
35
8
(v)
43
10
Question
6
6.
In an examination, the ratio of passes to failures was 5 : 1.
Had 15 less appeared and 20 less passed, the ratio of passes to failures would have been 16 : 5.
How many students appeared for the examination?
(i)
110
(ii)
130
(iii)
115
(iv)
120
(v)
125
Question
7
7.
Which of the following equations is the same as
(
5
x
−
9
)
=
0
(i)
(
−
5
x
+
11
)
=
0
(ii)
(
−
5
x
+
9
)
=
0
(iii)
(
−
5
x
+
9
)
=
3
(iv)
(
−
5
x
+
7
)
=
0
(v)
(
−
5
x
+
9
)
=
(
−
3
)
Question
8
8.
Two angles of a triangle measure 66° and 68° respectively. Find the measure of the third angle of the triangle
(i)
47°
(ii)
46°
(iii)
48°
(iv)
44°
(v)
45°
Question
9
9.
Which of the following equations is not the same as
(
−
9
x
−
1
)
=
(
−
3
)
(i)
(
−
9
x
+
2
)
=
(
−
6
)
(ii)
(
−
9
x
+
3
)
=
1
(iii)
(
−
9
x
−
3
)
=
(
−
5
)
(iv)
(
−
9
x
+
1
)
=
(
−
1
)
(v)
(
−
9
x
−
5
)
=
(
−
7
)
Question
10
10.
Which of the following equations is equivalent to
(
−
x
−
8
)
=
0
(i)
(
−
x
)
=
8
(ii)
(
−
x
)
=
10
(iii)
(
−
x
)
=
7
(iv)
(
−
x
)
=
9
(v)
(
−
x
)
=
6
Question
11
11.
A train crosses a telegraph post in 19.47 sec and a bridge 1968.28 m long in 60.89 sec. What is the speed of the train?
(i)
49.52 m/sec
(ii)
46.52 m/sec
(iii)
48.52 m/sec
(iv)
47.52 m/sec
(v)
45.52 m/sec
Question
12
12.
Which of the following equations is not the same as
(
−
7
x
+
3
)
=
(
6
x
−
2
)
(i)
(
−
7
x
+
4
)
=
(
6
x
−
1
)
(ii)
(
−
7
x
+
7
)
=
(
6
x
+
2
)
(iii)
(
−
7
x
+
1
)
=
6
x
(iv)
(
−
7
x
+
2
)
=
(
6
x
−
3
)
(v)
(
−
7
x
−
1
)
=
(
6
x
−
6
)
Question
13
13.
The L.H.S of the equation
(
−
9
x
+
5
)
=
(
4
x
−
5
)
is
(i)
(
−
9
x
+
5
)
(ii)
(
−
9
x
+
8
)
(iii)
(
−
9
x
+
2
)
(iv)
(
−
10
x
+
5
)
(v)
(
4
x
−
5
)
Question
14
14.
Solve :
−
1
(
x
+
2
)
−
2
(
x
+
7
)
=
−
7
(
x
+
7
)
+
4
(
x
+
8
)
(i)
-32
(ii)
-33
(iii)
-31
(iv)
-34
(v)
-29
Question
15
15.
The ages of A and B are in the ratio 9 : 8. 5 years hence, their ages will be in the ratio 10 : 9. Find their present ages.
(i)
36
:
32
(ii)
27
:
24
(iii)
63
:
56
(iv)
45
:
40
Question
16
16.
The speed of a motor boat is 14.23 m/sec and the speed of a stream is 5.94 m/sec. A & B are two location adjacent to a stream. If it takes 576.48 sec to go from point A to B and come back, What is the distance between A and B?
(i)
3386.96 m
(ii)
3388.96 m
(iii)
3385.96 m
(iv)
3384.96 m
(v)
3387.96 m
Question
17
17.
Two numbers are in the ratio 13 : 14. If 14 is added to each number, the ratio becomes 59 : 63. Find the numbers.
(i)
117
:
126
(ii)
130
:
140
(iii)
104
:
112
(iv)
91
:
98
(v)
78
:
84
Question
18
18.
Solve :
−
4
(
2
x
+
1
)
−
3
(
2
x
−
1
)
=
−
7
2
x
(i)
4
(ii)
9
2
(iii)
7
2
(iv)
5
2
(v)
13
4
Question
19
19.
In △EFG, if ∠E = 55° and ∠F = 61°, find the measure of ∠G
(i)
G
=
62°
(ii)
G
=
66°
(iii)
G
=
63°
(iv)
G
=
65°
(v)
G
=
64°
Question
20
20.
Which of the following equations is the same as
(
−
5
x
+
1
)
=
0
(i)
(
−
5
x
)
=
(
−
4
)
(ii)
(
−
5
x
−
3
)
=
(
−
6
)
(iii)
(
−
5
x
−
6
)
=
(
−
4
)
(iv)
(
−
5
x
−
3
)
=
(
−
2
)
(v)
(
−
5
x
−
3
)
=
(
−
4
)
Question
21
21.
Which of the following equations is not the same as
(
−
2
x
)
=
9
(i)
(
−
x
−
2
)
=
(
x
+
7
)
(ii)
(
−
5
x
+
4
)
=
(
−
3
x
+
13
)
(iii)
(
−
3
x
+
2
)
=
(
x
+
7
)
(iv)
(
−
3
x
+
2
)
=
(
−
x
+
11
)
(v)
(
x
−
4
)
=
(
3
x
+
5
)
Question
22
22.
The ratio of males to females in a committee of 105 members is 4 : 3. How many more ladies should be added to the committee so that the ratio of males to females is 60 : 109?
(i)
61
(ii)
63
(iii)
65
(iv)
67
(v)
64
Question
23
23.
Solve :
(
2
x
−
2
)
+
(
4
x
+
2
)
8
=
(
2
x
+
2
)
(i)
17
2
(ii)
29
4
(iii)
8
(iv)
15
2
(v)
13
2
Question
24
24.
Solve :
(
−
4
x
+
4
)
+
(
−
5
x
+
2
)
=
(
x
−
5
)
6
(i)
41
57
(ii)
41
55
(iii)
41
53
(iv)
39
55
(v)
43
55
Question
25
25.
Solve the equation
(
x
+
8
)
=
0
(i)
-11
(ii)
-6
(iii)
-9
(iv)
-7
(v)
-8
Assignment Key
1) (iv)
2) (v)
3) (iii)
4) (iv)
5) (iv)
6) (iv)
7) (ii)
8) (ii)
9) (i)
10) (i)
11) (iv)
12) (iii)
13) (i)
14) (i)
15) (iv)
16) (i)
17) (iii)
18) (iii)
19) (v)
20) (v)
21) (iii)
22) (v)
23) (iv)
24) (ii)
25) (v)
