EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Simple Linear Equations
Grade : ICSE Grade VIII
License : Non Commercial Use
Question
1
1.
Solve :
(
4
x
−
5
)
5
+
(
−
3
x
−
4
)
2
=
(
−
2
x
+
2
)
10
(i)
-6
(ii)
(
-44
7
)
(iii)
(
-32
5
)
(iv)
(
-20
3
)
(v)
(
-34
5
)
Question
2
2.
Which of the following equations is not the same as
(
7
x
+
5
)
=
8
(i)
(
−
x
+
6
)
=
(
−
8
x
+
9
)
(ii)
(
15
x
+
4
)
=
(
8
x
+
7
)
(iii)
(
5
x
+
8
)
=
(
−
2
x
+
11
)
(iv)
(
9
x
+
2
)
=
(
2
x
+
5
)
(v)
(
−
x
+
6
)
=
(
8
x
+
7
)
Question
3
3.
Solve :
(
x
+
5
)
(
−
5
x
−
3
)
=
(
x
−
5
)
(
−
5
x
+
8
)
(i)
25
39
(ii)
9
13
(iii)
23
39
(iv)
25
37
(v)
25
41
Question
4
4.
Which of the following equations is equivalent to
(
−
9
x
−
2
)
=
4
(i)
(
−
9
x
)
=
7
(ii)
(
−
9
x
)
=
5
(iii)
(
−
9
x
)
=
2
(iv)
(
−
9
x
)
=
6
(v)
(
−
9
x
)
=
10
Question
5
5.
Solve :
−
2
(
x
+
4
)
−
1
(
x
−
5
)
=
−
4
(
x
−
5
)
+
1
(
x
+
5
)
(i)
(
-19
4
)
(ii)
(
-73
16
)
(iii)
(
-65
14
)
(iv)
(
-67
14
)
(v)
(
-9
2
)
Question
6
6.
A certain number of men can do a work in
24
days
.
If there were
3
men
more
,
it would take
4
days
less
to complete the work.
How many men are required to complete the work in
30
days
?
(i)
11
(ii)
13
(iii)
14
(iv)
10
(v)
12
Question
7
7.
A train crosses a telegraph post in 45.75 sec and a bridge 2043.84 m long in 87.41 sec. What is the speed of the train?
(i)
50.06 m/sec
(ii)
48.06 m/sec
(iii)
49.06 m/sec
(iv)
51.06 m/sec
(v)
47.06 m/sec
Question
8
8.
Solve the equation
(
−
4
7
x
−
3
2
)
=
0
(i)
(
-19
8
)
(ii)
(
-5
2
)
(iii)
(
-17
6
)
(iv)
(
-21
8
)
(v)
(
-23
8
)
Question
9
9.
Solve :
(
x
−
2
)
+
(
2
x
−
3
)
4
=
(
2
x
+
3
)
2
(i)
19
2
(ii)
17
2
(iii)
15
2
(iv)
33
4
(v)
9
Question
10
10.
Which of the following equations is not the same as
6
x
=
(
4
x
+
1
)
(i)
(
5
x
−
2
)
=
(
3
x
−
1
)
(ii)
(
15
x
+
5
)
=
(
13
x
+
6
)
(iii)
(
7
x
+
2
)
=
(
5
x
+
3
)
(iv)
(
−
3
x
−
5
)
=
(
−
5
x
−
4
)
(v)
(
5
x
−
2
)
=
(
5
x
+
3
)
Question
11
11.
The ratio of two numbers is
5
:
2
and their LCM is 60. Find the numbers.
(i)
30
:
12
(ii)
25
:
10
(iii)
40
:
16
(iv)
20
:
8
(v)
35
:
14
Question
12
12.
The additive inverse of the expression
(
−
7
x
−
3
)
is
(i)
(
7
x
+
3
)
(ii)
(
−
7
x
−
3
)
(iii)
7
x
(iv)
(
6
x
+
3
)
(v)
(
7
x
+
5
)
Question
13
13.
A ratio is equal to 8 : 15. If its consequent is 630, what is its antecendent?
(i)
336
(ii)
337
(iii)
334
(iv)
335
(v)
338
Question
14
14.
Solve :
(
4
x
+
5
)
5
+
(
3
x
−
4
)
8
=
(
4
x
−
2
)
8
(i)
(
-10
9
)
(ii)
(
-4
3
)
(iii)
(
-8
9
)
(iv)
(
-8
7
)
(v)
(
-12
11
)
Question
15
15.
Solve :
5
x
+
(
3
x
+
4
)
=
(
4
x
−
1
)
5
(i)
(
-7
10
)
(ii)
(
-1
2
)
(iii)
(
-3
4
)
(iv)
(
-7
12
)
(v)
(
-5
12
)
Question
16
16.
Solve :
(
−
9
x
+
4
)
(
4
x
+
1
)
=
2
(
−
5
)
(i)
20
37
(ii)
24
37
(iii)
22
35
(iv)
22
39
(v)
22
37
Question
17
17.
Which of the following equations is the same as
(
−
6
x
+
2
)
=
(
2
x
−
1
)
(i)
(
−
6
x
)
=
(
2
x
−
6
)
(ii)
(
−
6
x
+
1
)
=
(
2
x
−
3
)
(iii)
(
−
6
x
)
=
2
x
(iv)
(
−
6
x
)
=
(
2
x
−
3
)
(v)
(
−
6
x
−
1
)
=
(
2
x
−
3
)
Question
18
18.
The ratio of males to females in a committee of 165 members is 9 : 2. How many more ladies should be added to the committee so that the ratio of males to females is 27 : 14?
(i)
41
(ii)
39
(iii)
37
(iv)
40
(v)
43
Question
19
19.
Solve :
(
4
x
+
3
)
9
+
(
2
x
+
4
)
18
=
3
x
(i)
3
22
(ii)
1
4
(iii)
7
22
(iv)
5
24
(v)
5
22
Question
20
20.
Solve :
(
5
x
−
4
)
+
(
2
x
+
4
)
3
=
(
x
+
3
)
(i)
5
4
(ii)
15
14
(iii)
19
16
(iv)
17
14
(v)
19
14
Question
21
21.
Which of the following equations is the same as
(
9
x
−
8
)
=
(
4
x
−
8
)
(i)
(
12
x
−
13
)
=
(
7
x
−
13
)
(ii)
(
12
x
−
13
)
=
(
x
−
3
)
(iii)
(
10
x
−
8
)
=
(
3
x
−
8
)
(iv)
(
6
x
−
3
)
=
(
7
x
−
13
)
(v)
(
8
x
−
8
)
=
(
5
x
−
8
)
Question
22
22.
Which of the following equations is the same as
(
x
+
4
)
=
(
−
x
+
6
)
(i)
5
=
(
−
2
x
+
7
)
(ii)
(
2
x
+
3
)
=
(
−
2
x
+
7
)
(iii)
6
=
4
(iv)
(
2
x
+
2
)
=
(
−
2
x
+
8
)
(v)
5
=
5
Question
23
23.
In △GHI, if ∠G = 70° and ∠H = ∠I, find the measure of each of the equal angles of the triangle
(i)
53°
(ii)
57°
(iii)
54°
(iv)
56°
(v)
55°
Question
24
24.
The L.H.S of the equation
(
4
x
+
9
)
=
(
−
8
x
+
1
)
is
(i)
(
4
x
+
9
)
(ii)
(
4
x
+
7
)
(iii)
(
3
x
+
9
)
(iv)
(
4
x
+
12
)
(v)
(
−
8
x
+
1
)
Question
25
25.
What number must be added to each term of the ratio
12
:
168
to make it
1
:
2
?
(i)
144
(ii)
141
(iii)
143
(iv)
146
(v)
145
Assignment Key
1) (iii)
2) (v)
3) (i)
4) (iv)
5) (iii)
6) (v)
7) (iii)
8) (iv)
9) (ii)
10) (v)
11) (i)
12) (i)
13) (i)
14) (i)
15) (iv)
16) (v)
17) (iv)
18) (iv)
19) (v)
20) (iv)
21) (i)
22) (i)
23) (v)
24) (i)
25) (i)
