EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Simple Linear Equations
Grade : ICSE Grade VIII
License : Non Commercial Use
Question
1
1.
In a company, the number of engineers to managers is in the ratio 2 : 1 . After a year, when 15 engineers and 20 managers left, the ratio between engineers to managers is 21 : 8 . Find the number of engineers and managers at the beginning?
(i)
190
(ii)
180
(iii)
170
(iv)
160
(v)
200
Question
2
2.
Which of the following equations is the same as
(
−
6
x
+
6
)
=
0
(i)
13
=
(
−
6
x
−
7
)
(ii)
(
−
5
x
+
7
)
=
(
x
+
1
)
(iii)
(
−
5
x
+
7
)
=
(
−
x
−
1
)
(iv)
(
−
7
x
+
5
)
=
(
x
+
1
)
(v)
(
−
12
x
−
1
)
=
(
6
x
+
7
)
Question
3
3.
Which of the following equations is the same as
(
−
5
x
+
4
)
=
(
−
7
)
(i)
(
−
5
x
+
3
)
=
(
−
11
)
(ii)
(
−
5
x
)
=
(
−
6
)
(iii)
(
−
5
x
)
=
(
−
11
)
(iv)
(
−
5
x
−
3
)
=
(
−
11
)
(v)
(
−
5
x
)
=
(
−
16
)
Question
4
4.
Which of the following equations is the same as
(
5
x
+
8
)
=
(
−
x
−
3
)
(i)
(
5
x
+
5
)
=
(
−
x
−
8
)
(ii)
5
x
=
(
−
x
−
6
)
(iii)
(
5
x
+
5
)
=
(
−
x
−
4
)
(iv)
(
5
x
+
10
)
=
(
−
x
−
6
)
(v)
(
5
x
+
5
)
=
(
−
x
−
6
)
Question
5
5.
Which of the following equations is not the same as
(
−
2
x
−
9
)
=
(
9
x
+
4
)
(i)
(
−
4
x
−
8
)
=
(
7
x
+
5
)
(ii)
(
−
x
−
11
)
=
(
10
x
+
2
)
(iii)
(
−
3
x
−
7
)
=
(
8
x
+
6
)
(iv)
(
−
10
)
=
(
11
x
+
3
)
(v)
(
−
3
x
−
7
)
=
(
10
x
+
2
)
Question
6
6.
Which of the following equations is not the same as
(
4
x
+
3
)
=
(
−
2
)
(i)
(
4
x
+
1
)
=
(
−
4
)
(ii)
(
4
x
+
2
)
=
(
−
1
)
(iii)
(
4
x
−
1
)
=
(
−
6
)
(iv)
(
4
x
+
5
)
=
0
(v)
(
4
x
+
7
)
=
2
Question
7
7.
Which of the following equations is the same as
(
3
x
+
8
)
=
6
(i)
(
6
x
+
9
)
=
(
−
3
x
+
5
)
(ii)
(
6
x
+
6
)
=
(
−
3
x
+
8
)
(iii)
7
=
(
3
x
+
7
)
(iv)
7
=
(
−
3
x
+
5
)
(v)
10
=
(
3
x
+
4
)
Question
8
8.
The speed of a motor boat is 14.97 m/sec and the speed of a stream is 5.90 m/sec. A & B are two location adjacent to a stream. If it takes 211.63 sec to go from point A to B and come back, What is the distance between A and B?
(i)
1336.00 m
(ii)
1340.00 m
(iii)
1338.00 m
(iv)
1337.00 m
(v)
1339.00 m
Question
9
9.
The L.H.S of the equation
(
3
x
−
5
)
=
(
−
4
x
+
6
)
is
(i)
(
−
4
x
+
6
)
(ii)
(
3
x
−
5
)
(iii)
(
3
x
−
2
)
(iv)
(
3
x
−
7
)
(v)
(
2
x
−
5
)
Question
10
10.
Which of the following equations is not equivalent to
(
9
x
−
7
)
=
(
3
x
+
5
)
(i)
(
−
30
x
)
=
(
−
60
)
(ii)
30
x
=
60
(iii)
18
x
=
36
(iv)
12
x
=
24
(v)
6
x
=
9
Question
11
11.
Which of the following equations is equivalent to
(
3
x
+
7
)
=
(
−
x
+
7
)
(i)
4
x
=
4
(ii)
4
x
=
(
−
4
)
(iii)
4
x
=
0
Question
12
12.
The L.H.S of the equation
(
6
x
+
8
)
=
0
is
(i)
(
5
x
+
8
)
(ii)
(
6
x
+
10
)
(iii)
(
6
x
+
5
)
(iv)
(
6
x
+
8
)
(v)
0
Question
13
13.
Which of the following equations is the same as
6
x
=
(
−
x
+
6
)
(i)
(
9
x
+
2
)
=
(
−
4
x
+
4
)
(ii)
(
3
x
−
4
)
=
(
2
x
+
10
)
(iii)
(
9
x
+
4
)
=
(
−
4
x
+
2
)
(iv)
(
3
x
−
4
)
=
(
−
4
x
+
2
)
(v)
(
3
x
−
2
)
=
(
2
x
+
8
)
Question
14
14.
Solve :
(
3
x
+
5
)
+
(
2
x
+
4
)
=
(
−
5
x
+
3
)
2
(i)
0
(ii)
-3
(iii)
2
(iv)
-1
(v)
-2
Question
15
15.
Solve :
−
1
(
x
−
7
)
=
−
1
x
(i)
-8
(ii)
-6
(iii)
-4
(iv)
-9
(v)
-7
Question
16
16.
Which of the following equations is the same as
(
6
x
+
3
)
=
(
−
5
)
(i)
(
11
x
−
6
)
=
(
−
5
x
+
4
)
(ii)
(
7
x
+
3
)
=
(
−
x
−
5
)
(iii)
(
x
+
12
)
=
(
5
x
−
14
)
(iv)
(
7
x
+
3
)
=
(
x
−
5
)
(v)
(
5
x
+
3
)
=
(
x
−
5
)
Question
17
17.
Solve :
−
4
(
x
+
4
)
+
2
(
x
+
5
)
=
1
(
x
+
5
)
−
3
(
x
−
3
)
(i)
(
-37
7
)
(ii)
(
-29
5
)
(iii)
(
-27
5
)
(iv)
(
-17
3
)
(v)
-5
Question
18
18.
Solve the equation
(
7
6
x
−
2
9
)
=
0
(i)
4
19
(ii)
4
21
(iii)
2
21
(iv)
4
23
(v)
2
7
Question
19
19.
Two numbers are in the ratio 1 : 2. If 12 is added to each number, the ratio becomes 7 : 10. Find the numbers.
(i)
9
:
18
(ii)
8
:
16
(iii)
10
:
20
(iv)
7
:
14
(v)
11
:
22
Question
20
20.
Which of the following equations is equivalent to
(
3
x
−
2
)
=
(
−
4
)
(i)
3
x
=
0
(ii)
3
x
=
(
−
2
)
(iii)
3
x
=
(
−
4
)
(iv)
3
x
=
(
−
5
)
(v)
3
x
=
1
Question
21
21.
Which of the following equations is the same as
(
7
x
−
3
)
=
3
(i)
(
7
x
−
1
)
=
7
(ii)
(
7
x
+
3
)
=
7
(iii)
(
7
x
+
1
)
=
8
(iv)
(
7
x
+
1
)
=
6
(v)
(
7
x
+
1
)
=
7
Question
22
22.
A certain number of men can do a work in
21
days
.
If there were
27
men
less
,
it would take
21
days
more
to complete the work.
How many men are required to complete the work in
18
days
?
(i)
61
(ii)
65
(iii)
64
(iv)
62
(v)
63
Question
23
23.
Which of the following equations is not equivalent to
(
−
3
x
−
2
)
=
5
(i)
(
−
12
x
)
=
28
(ii)
12
x
=
(
−
28
)
(iii)
(
−
3
x
)
=
2
(iv)
(
−
15
x
)
=
35
(v)
6
x
=
(
−
14
)
Question
24
24.
In △BCD, if ∠B = 60° and ∠C = 52°, find the measure of ∠D
(i)
D
=
69°
(ii)
D
=
67°
(iii)
D
=
70°
(iv)
D
=
68°
(v)
D
=
66°
Question
25
25.
Solve :
(
−
x
−
4
)
8
+
(
x
+
1
)
=
(
x
−
1
)
2
(i)
-2
(ii)
(
-8
3
)
(iii)
(
-12
5
)
(iv)
-4
(v)
(
-10
3
)
Assignment Key
1) (ii)
2) (ii)
3) (iii)
4) (v)
5) (v)
6) (ii)
7) (iv)
8) (iii)
9) (ii)
10) (v)
11) (iii)
12) (iv)
13) (iv)
14) (iv)
15) (v)
16) (iv)
17) (iii)
18) (ii)
19) (i)
20) (ii)
21) (v)
22) (v)
23) (iii)
24) (iv)
25) (ii)
