EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Simple Linear Equations
Grade : ICSE Grade VIII
License : Non Commercial Use
Question
1
1.
Solve :
7
(
x
−
7
)
−
8
(
x
+
6
)
=
−
8
(
x
+
6
)
+
7
(
x
−
5
)
(i)
-6
(ii)
-5
(iii)
-3
(iv)
-7
(v)
-9
Question
2
2.
Person P is
seven times
as good a workman as Person Q.
They can do a work together in
5
1
4
days
.
In how many days Q alone can do the work?
(i)
42
days
(ii)
43
days
(iii)
39
days
(iv)
45
days
(v)
41
days
Question
3
3.
Solve :
(
x
−
5
)
12
+
(
−
x
+
1
)
3
=
(
x
−
1
)
(i)
11
17
(ii)
11
13
(iii)
3
5
(iv)
13
15
(v)
11
15
Question
4
4.
Which of the following equations is equivalent to
(
7
x
+
6
)
=
1
(i)
7
x
=
(
−
5
)
(ii)
7
x
=
(
−
9
)
(iii)
7
x
=
(
−
8
)
(iv)
7
x
=
(
−
1
)
(v)
7
x
=
(
−
2
)
Question
5
5.
Which of the following equations is the same as
(
−
9
x
+
7
)
=
(
−
2
x
−
9
)
(i)
(
−
6
x
+
3
)
=
(
−
5
x
−
5
)
(ii)
(
−
12
x
+
11
)
=
(
x
−
13
)
(iii)
(
−
6
x
+
3
)
=
(
x
−
13
)
(iv)
3
=
(
−
11
x
−
5
)
(v)
(
−
18
x
+
11
)
=
(
7
x
−
13
)
Question
6
6.
What number must be added to each term of the ratio
24
:
36
to make it
22
:
23
?
(i)
240
(ii)
239
(iii)
242
(iv)
237
(v)
241
Question
7
7.
Solve :
(
x
−
4
)
+
(
x
+
4
)
=
(
x
−
3
)
10
(i)
(
-3
19
)
(ii)
(
-3
17
)
(iii)
(
-1
7
)
(iv)
(
-1
19
)
(v)
(
-5
19
)
Question
8
8.
A ratio is equal to 4 : 35. If its consequent is 3675, what is its antecendent?
(i)
419
(ii)
423
(iii)
417
(iv)
420
(v)
421
Question
9
9.
Which of the following equations is not equivalent to
(
−
4
x
−
8
)
=
(
−
2
)
(i)
20
x
=
(
−
30
)
(ii)
4
x
=
(
−
6
)
(iii)
(
−
4
x
)
=
8
(iv)
(
−
4
x
)
=
6
(v)
16
x
=
(
−
24
)
Question
10
10.
Which of the following equations is the same as
(
−
3
x
−
5
)
=
0
(i)
(
−
3
x
−
2
)
=
(
−
2
)
(ii)
(
−
3
x
−
7
)
=
(
−
2
)
(iii)
(
−
3
x
−
7
)
=
(
−
6
)
(iv)
(
−
3
x
−
12
)
=
(
−
2
)
(v)
(
−
3
x
−
7
)
=
2
Question
11
11.
Which of the following equations is the same as
(
9
x
−
2
)
=
4
(i)
(
9
x
+
2
)
=
7
(ii)
(
9
x
+
2
)
=
9
(iii)
(
9
x
+
4
)
=
8
(iv)
(
9
x
+
2
)
=
8
(v)
9
x
=
8
Question
12
12.
Two numbers are in the ratio 2 : 4. If 20 is added to each number, the ratio becomes 19 : 28. Find the numbers.
(i)
18
:
36
(ii)
22
:
44
(iii)
20
:
40
(iv)
14
:
28
(v)
16
:
32
Question
13
13.
The R.H.S of the equation
(
2
x
−
3
)
=
0
is
(i)
(
−
1
)
(ii)
3
(iii)
0
(iv)
(
−
2
)
(v)
(
2
x
−
3
)
Question
14
14.
A ratio is equal to 1 : 1. If its antecendent is 12705, what is its consequent?
(i)
12705
(ii)
12706
(iii)
12703
(iv)
12704
(v)
12707
Question
15
15.
Which of the following equations is equivalent to
(
5
x
+
4
)
=
0
(i)
5
x
=
(
−
8
)
(ii)
5
x
=
(
−
7
)
(iii)
5
x
=
(
−
4
)
(iv)
5
x
=
(
−
1
)
(v)
5
x
=
0
Question
16
16.
Solve :
(
−
2
x
)
8
+
(
−
4
x
−
1
)
5
=
(
2
x
−
4
)
(i)
74
61
(ii)
74
59
(iii)
78
61
(iv)
26
21
(v)
76
61
Question
17
17.
Which of the following equations is not the same as
(
7
x
−
4
)
=
(
−
6
x
+
2
)
(i)
(
12
x
−
6
)
=
(
−
x
)
(ii)
(
8
x
−
5
)
=
(
−
5
x
+
1
)
(iii)
(
2
x
−
2
)
=
(
−
11
x
+
4
)
(iv)
(
12
x
−
6
)
=
(
−
11
x
+
4
)
(v)
(
6
x
−
3
)
=
(
−
7
x
+
3
)
Question
18
18.
Solve :
2
(
−
5
x
+
7
)
=
(
−
4
)
(
−
5
x
−
9
)
(i)
1
(ii)
1
5
(iii)
1
3
(iv)
(
-1
3
)
Question
19
19.
Which of the following equations is the same as
(
−
3
x
)
=
0
(i)
(
−
8
x
+
8
)
=
(
−
5
x
+
8
)
(ii)
(
2
x
−
8
)
=
(
−
5
x
+
8
)
(iii)
(
−
8
x
+
8
)
=
(
5
x
−
8
)
(iv)
(
−
8
x
−
2
)
=
(
5
x
+
2
)
(v)
(
2
x
+
2
)
=
(
−
5
x
−
2
)
Question
20
20.
Two angles of a triangle measure 59° and 67° respectively. Find the measure of the third angle of the triangle
(i)
52°
(ii)
53°
(iii)
55°
(iv)
54°
(v)
56°
Question
21
21.
A train crosses a telegraph post in 19.32 sec and a bridge 204.73 m long in 36.51 sec. What is the speed of the train?
(i)
13.91 m/sec
(ii)
12.91 m/sec
(iii)
9.91 m/sec
(iv)
11.91 m/sec
(v)
10.91 m/sec
Question
22
22.
A certain number of men can do a work in
24
days
.
If there were
2
men
more
,
it would take
6
days
less
to complete the work.
How many men are required to complete the work in
12
days
?
(i)
9
(ii)
12
(iii)
11
(iv)
15
(v)
13
Question
23
23.
Which of the following equations is not the same as
(
5
x
−
2
)
=
(
−
8
x
)
(i)
(
5
x
−
1
)
=
(
−
8
x
+
1
)
(ii)
(
5
x
−
5
)
=
(
−
8
x
−
3
)
(iii)
(
5
x
+
1
)
=
(
−
8
x
+
3
)
(iv)
(
5
x
−
4
)
=
(
−
8
x
+
2
)
(v)
(
5
x
−
3
)
=
(
−
8
x
−
1
)
Question
24
24.
Solve the equation
(
x
+
5
)
=
0
(i)
-2
(ii)
-5
(iii)
-4
(iv)
-7
(v)
-6
Question
25
25.
Which of the following equations is not the same as
(
4
x
+
3
)
=
(
−
1
)
(i)
(
4
x
+
5
)
=
1
(ii)
(
4
x
−
1
)
=
(
−
5
)
(iii)
(
4
x
+
1
)
=
(
−
3
)
(iv)
(
4
x
+
4
)
=
(
−
2
)
(v)
(
4
x
+
7
)
=
3
Assignment Key
1) (i)
2) (i)
3) (v)
4) (i)
5) (iii)
6) (i)
7) (i)
8) (iv)
9) (iii)
10) (ii)
11) (iv)
12) (i)
13) (iii)
14) (i)
15) (iii)
16) (v)
17) (iv)
18) (iii)
19) (i)
20) (iv)
21) (iv)
22) (ii)
23) (iv)
24) (ii)
25) (iv)
