EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Simple Linear Equations
Grade : ICSE Grade VIII
License : Non Commercial Use
Question
1
1.
Which of the following equations is equivalent to
(
−
2
x
+
9
)
=
(
−
1
)
(i)
(
−
2
x
)
=
(
−
11
)
(ii)
(
−
2
x
)
=
(
−
6
)
(iii)
(
−
2
x
)
=
(
−
9
)
(iv)
(
−
2
x
)
=
(
−
14
)
(v)
(
−
2
x
)
=
(
−
10
)
Question
2
2.
Solve the equation
(
−
4
x
)
=
9
(i)
(
-7
4
)
(ii)
(
-5
2
)
(iii)
(
-11
4
)
(iv)
(
-13
6
)
(v)
(
-9
4
)
Question
3
3.
Which of the following equations is the same as
(
−
x
−
3
)
=
0
(i)
(
−
x
−
6
)
=
(
−
3
)
(ii)
(
−
x
−
10
)
=
(
−
3
)
(iii)
(
−
x
−
6
)
=
(
−
1
)
(iv)
(
−
x
−
6
)
=
(
−
5
)
(v)
(
−
x
−
2
)
=
(
−
3
)
Question
4
4.
Solve :
(
−
5
x
+
4
)
7
+
(
−
4
x
−
2
)
4
=
(
−
3
x
−
2
)
(i)
(
-27
16
)
(ii)
(
-3
2
)
(iii)
(
-31
20
)
(iv)
(
-29
18
)
(v)
(
-31
18
)
Question
5
5.
Find the number which bears the same ratio
to
4
5
that
4
6
does to
136
105
(i)
7
17
(ii)
7
19
(iii)
9
17
(iv)
5
17
(v)
7
15
Question
6
6.
A student walks from his house to school at 3.67 kmph and arrives 19.20 min late. The next day he walks at 14.63 kmph and reaches the school 21.70 min before time. What is the distance from his house to school?
(i)
1.34 km
(ii)
5.34 km
(iii)
3.34 km
(iv)
2.34 km
(v)
4.34 km
Question
7
7.
In a right-angled triangle, the two acute angles are in the ratio 7 : 2. Find these angles.
(i)
A
=
72°
,
C
=
22°
(ii)
A
=
71°
,
C
=
21°
(iii)
A
=
69°
,
C
=
19°
(iv)
A
=
70°
,
C
=
20°
(v)
A
=
68°
,
C
=
18°
Question
8
8.
Which of the following equations is not the same as
(
−
3
x
−
7
)
=
0
(i)
(
−
3
x
−
9
)
=
(
−
2
)
(ii)
(
−
3
x
−
11
)
=
4
(iii)
(
−
3
x
−
12
)
=
(
−
5
)
(iv)
(
−
3
x
−
5
)
=
2
(v)
(
−
3
x
−
2
)
=
5
Question
9
9.
Solve :
(
−
x
+
5
)
+
(
−
x
+
3
)
=
(
−
x
−
2
)
9
(i)
74
17
(ii)
76
17
(iii)
22
5
(iv)
72
17
(v)
82
19
Question
10
10.
The ages of A and B are in the ratio 5 : 3. 8 years ago, their ages were in the ratio 9 : 5. Find their present ages.
(i)
75
:
45
(ii)
80
:
48
(iii)
70
:
42
(iv)
90
:
54
Question
11
11.
Person P is
ten times
as good a workman as Person Q.
They can do a work together in
3
7
11
days
.
In how many days Q alone can do the work?
(i)
40
days
(ii)
42
days
(iii)
41
days
(iv)
37
days
(v)
39
days
Question
12
12.
In a company, the number of engineers to managers is in the ratio 7 : 6 . After a year, when 10 engineers and 10 managers left, the ratio between engineers to managers is 13 : 11 . Find the number of engineers and managers at the beginning?
(i)
280
(ii)
270
(iii)
260
(iv)
250
(v)
240
Question
13
13.
Which of the following equations is not the same as
(
9
x
+
7
)
=
1
(i)
(
13
x
+
10
)
=
(
−
4
x
−
2
)
(ii)
(
13
x
+
10
)
=
(
4
x
+
4
)
(iii)
(
x
+
2
)
=
(
−
8
x
−
4
)
(iv)
(
17
x
+
12
)
=
(
8
x
+
6
)
(v)
(
5
x
+
4
)
=
(
−
4
x
−
2
)
Question
14
14.
Which of the following equations is not equivalent to
(
9
x
−
7
)
=
(
2
x
−
6
)
(i)
(
−
21
x
)
=
(
−
3
)
(ii)
(
−
7
x
)
=
(
−
1
)
(iii)
7
x
=
(
−
4
)
(iv)
14
x
=
2
(v)
(
−
14
x
)
=
(
−
2
)
Question
15
15.
Solve :
(
−
x
−
2
)
2
+
(
x
+
5
)
4
=
(
−
x
−
3
)
(i)
(
-21
5
)
(ii)
(
-11
3
)
(iii)
(
-13
3
)
(iv)
-5
Question
16
16.
Which of the following equations is the same as
(
8
x
+
3
)
=
(
−
2
)
(i)
(
−
32
x
−
17
)
=
8
(ii)
(
−
32
x
−
12
)
=
7
(iii)
(
−
32
x
−
7
)
=
8
(iv)
(
−
32
x
−
12
)
=
9
(v)
(
−
32
x
−
12
)
=
8
Question
17
17.
The additive inverse of the expression
7
is
(i)
(
−
7
)
(ii)
(
−
5
)
(iii)
(
−
8
)
(iv)
7
(v)
(
−
9
)
Question
18
18.
Which of the following equations is the same as
(
−
4
x
−
5
)
=
0
(i)
(
−
4
x
−
3
)
=
2
(ii)
(
−
4
x
−
2
)
=
2
(iii)
(
−
4
x
−
3
)
=
5
(iv)
(
−
4
x
−
4
)
=
2
(v)
(
−
4
x
−
3
)
=
(
−
1
)
Question
19
19.
Which of the following equations is not the same as
(
−
6
x
+
2
)
=
(
9
x
+
9
)
(i)
(
−
6
x
+
4
)
=
(
9
x
+
11
)
(ii)
(
−
6
x
+
5
)
=
(
9
x
+
6
)
(iii)
(
−
6
x
)
=
(
9
x
+
7
)
(iv)
(
−
6
x
+
3
)
=
(
9
x
+
10
)
(v)
(
−
6
x
+
1
)
=
(
9
x
+
8
)
Question
20
20.
Which of the following equations is the same as
(
5
x
−
4
)
=
(
6
x
+
1
)
(i)
(
5
x
−
5
)
=
(
6
x
+
2
)
(ii)
(
5
x
−
5
)
=
6
x
(iii)
(
5
x
−
8
)
=
6
x
(iv)
(
5
x
−
2
)
=
6
x
(v)
(
5
x
−
5
)
=
(
6
x
−
2
)
Question
21
21.
What number must be added to each term of the ratio
100
:
150
to make it
4
:
5
?
(i)
101
(ii)
102
(iii)
100
(iv)
97
(v)
99
Question
22
22.
Which of the following equations is the same as
(
7
x
+
8
)
=
3
(i)
(
7
x
+
7
)
=
(
−
1
)
(ii)
(
7
x
+
9
)
=
2
(iii)
(
7
x
+
7
)
=
2
(iv)
(
7
x
+
5
)
=
2
(v)
(
7
x
+
7
)
=
5
Question
23
23.
The R.H.S of the equation
(
2
x
+
2
)
=
0
is
(i)
2
(ii)
(
−
1
)
(iii)
(
2
x
+
2
)
(iv)
0
(v)
(
−
3
)
Question
24
24.
Solve :
(
−
x
+
1
)
+
(
2
x
−
2
)
10
=
(
2
x
+
5
)
(i)
(
-5
2
)
(ii)
(
-3
2
)
(iii)
-2
(iv)
(
-1
2
)
(v)
(
-5
4
)
Question
25
25.
Solve :
(
−
4
)
(
−
9
x
+
7
)
=
(
−
7
)
(
−
9
x
−
1
)
(i)
17
9
(ii)
53
27
(iii)
55
27
(iv)
51
25
(v)
55
29
Assignment Key
1) (v)
2) (v)
3) (i)
4) (iv)
5) (i)
6) (iii)
7) (iv)
8) (ii)
9) (i)
10) (ii)
11) (i)
12) (iii)
13) (i)
14) (iii)
15) (iii)
16) (v)
17) (i)
18) (i)
19) (ii)
20) (ii)
21) (iii)
22) (iii)
23) (iv)
24) (ii)
25) (ii)
