EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Simple Linear Equations
Grade : ICSE Grade VIII
License : Non Commercial Use
Question
1
1.
A student walks from his house to school at 9.27 kmph and arrives 0.90 min late. The next day he walks at 19.93 kmph and reaches the school 16.60 min before time. At what speed must he travel to reach the school on time?
(i)
9.53 kmph
(ii)
11.53 kmph
(iii)
7.53 kmph
(iv)
8.53 kmph
(v)
10.53 kmph
Question
2
2.
Which of the following equations is the same as
(
4
x
−
1
)
=
(
−
x
+
6
)
(i)
(
4
x
−
3
)
=
(
−
x
+
2
)
(ii)
(
4
x
−
5
)
=
(
−
x
+
2
)
(iii)
(
4
x
−
7
)
=
(
−
x
+
2
)
(iv)
(
4
x
−
5
)
=
(
−
x
+
3
)
(v)
(
4
x
−
5
)
=
(
−
x
+
1
)
Question
3
3.
Which of the following equations is not the same as
(
x
+
6
)
=
0
(i)
(
2
x
+
5
)
=
(
x
−
1
)
(ii)
(
−
4
x
+
3
)
=
(
−
5
x
−
3
)
(iii)
7
=
(
−
x
+
1
)
(iv)
(
2
x
+
5
)
=
(
−
x
+
1
)
(v)
(
6
x
+
9
)
=
(
5
x
+
3
)
Question
4
4.
The ages of A and B are in the ratio 5 : 8. 6 years hence, their ages will be in the ratio 2 : 3. Find their present ages.
(i)
30
:
48
(ii)
25
:
40
(iii)
20
:
32
(iv)
40
:
64
Question
5
5.
Which of the following equations is the same as
(
−
5
x
−
2
)
=
(
7
x
−
2
)
(i)
(
−
x
−
11
)
=
(
3
x
+
7
)
(ii)
(
−
9
x
+
7
)
=
(
11
x
−
11
)
(iii)
4
x
=
16
x
(iv)
(
−
14
x
−
4
)
=
16
x
(v)
4
x
=
(
−
2
x
−
4
)
Question
6
6.
Solve :
(
6
x
−
3
)
(
8
x
−
5
)
=
7
(
−
4
)
(i)
47
78
(ii)
49
80
(iii)
9
16
(iv)
47
80
(v)
47
82
Question
7
7.
Solve :
(
−
2
x
−
1
)
+
(
x
−
3
)
5
=
(
x
−
2
)
(i)
1
5
(ii)
1
7
(iii)
1
9
(iv)
3
7
(v)
(
-1
7
)
Question
8
8.
Which of the following equations is not the same as
(
−
2
x
+
4
)
=
6
(i)
(
−
x
−
4
)
=
(
x
−
2
)
(ii)
(
−
3
x
+
3
)
=
(
−
x
+
5
)
(iii)
(
−
3
x
+
12
)
=
(
−
x
+
14
)
(iv)
(
−
x
+
5
)
=
(
x
+
7
)
(v)
(
−
x
+
5
)
=
(
−
x
+
5
)
Question
9
9.
Solve :
(
−
x
−
3
)
10
+
(
3
x
+
1
)
2
=
(
−
2
x
−
1
)
5
(i)
(
-2
11
)
(ii)
(
-2
9
)
(iii)
0
(iv)
(
-4
9
)
(v)
(
-2
7
)
Question
10
10.
In △HIJ, if ∠H = 52° and ∠I = 56°, find the measure of ∠J
(i)
J
=
74°
(ii)
J
=
71°
(iii)
J
=
72°
(iv)
J
=
70°
(v)
J
=
73°
Question
11
11.
Two angles of a triangle measure 68° and 68° respectively. Find the measure of the third angle of the triangle
(i)
46°
(ii)
43°
(iii)
45°
(iv)
42°
(v)
44°
Question
12
12.
The R.H.S of the equation
(
−
4
x
+
5
)
=
(
−
8
x
+
5
)
is
(i)
(
−
8
x
+
8
)
(ii)
(
−
8
x
+
2
)
(iii)
(
−
9
x
+
5
)
(iv)
(
−
4
x
+
5
)
(v)
(
−
8
x
+
5
)
Question
13
13.
Solve the equation
(
−
9
x
−
7
3
)
=
(
−
6
x
+
7
3
)
(i)
(
-12
7
)
(ii)
(
-4
3
)
(iii)
(
-14
9
)
(iv)
(
-16
9
)
(v)
(
-16
11
)
Question
14
14.
Which of the following equations is not equivalent to
(
−
6
x
)
=
(
x
+
6
)
(i)
(
−
21
x
)
=
18
(ii)
(
−
7
x
)
=
10
(iii)
(
−
14
x
)
=
12
(iv)
7
x
=
(
−
6
)
(v)
35
x
=
(
−
30
)
Question
15
15.
Solve the equation
(
9
8
x
+
7
5
)
=
0
(i)
(
-56
45
)
(ii)
(
-58
47
)
(iii)
(
-6
5
)
(iv)
(
-54
43
)
(v)
(
-58
45
)
Question
16
16.
One angle of a triangle measures 54° and the other two angles are in the ratio 2 : 5. Find these angles.
(i)
B
=
38°
,
C
=
92°
(ii)
B
=
34°
,
C
=
88°
(iii)
B
=
35°
,
C
=
89°
(iv)
B
=
37°
,
C
=
91°
(v)
B
=
36°
,
C
=
90°
Question
17
17.
Which of the following equations is not the same as
7
x
=
(
4
x
−
1
)
(i)
(
x
−
1
)
=
(
−
2
x
−
2
)
(ii)
(
3
x
−
3
)
=
(
8
x
+
2
)
(iii)
(
11
x
+
3
)
=
(
8
x
+
2
)
(iv)
(
3
x
−
3
)
=
(
−
4
)
(v)
(
13
x
+
1
)
=
10
x
Question
18
18.
Solve :
(
−
3
x
−
2
)
+
(
5
x
−
1
)
=
(
4
x
−
1
)
4
(i)
11
4
(ii)
5
2
(iii)
9
4
(iv)
7
2
(v)
13
4
Question
19
19.
Solve :
(
x
−
3
)
+
(
x
−
4
)
6
=
(
x
+
2
)
2
(i)
6
(ii)
5
(iii)
10
(iv)
8
(v)
7
Question
20
20.
Which of the following equations is not the same as
(
5
x
−
7
)
=
(
4
x
−
3
)
(i)
(
5
x
−
5
)
=
(
4
x
−
5
)
(ii)
(
5
x
−
11
)
=
(
4
x
−
7
)
(iii)
(
5
x
−
4
)
=
4
x
(iv)
(
5
x
−
3
)
=
(
4
x
+
1
)
(v)
(
5
x
−
10
)
=
(
4
x
−
6
)
Question
21
21.
Which of the following equations is not the same as
(
7
x
−
6
)
=
0
(i)
(
−
21
x
+
18
)
=
0
(ii)
(
21
x
−
18
)
=
3
(iii)
(
−
14
x
+
12
)
=
0
(iv)
(
28
x
−
24
)
=
0
(v)
(
−
28
x
+
24
)
=
0
Question
22
22.
Which of the following equations is not the same as
(
x
−
3
)
=
0
(i)
(
x
−
6
)
=
3
(ii)
(
x
−
5
)
=
(
−
2
)
(iii)
(
x
−
1
)
=
2
(iv)
(
x
+
1
)
=
4
(v)
(
x
−
7
)
=
(
−
4
)
Question
23
23.
Which of the following equations is the same as
(
4
x
+
1
)
=
0
(i)
(
4
x
−
5
)
=
(
−
1
)
(ii)
4
x
=
(
−
3
)
(iii)
4
x
=
1
(iv)
4
x
=
(
−
1
)
(v)
(
4
x
+
5
)
=
(
−
1
)
Question
24
24.
Which of the following equations is not the same as
(
−
3
x
+
2
)
=
5
(i)
(
−
3
x
−
2
)
=
1
(ii)
(
−
3
x
+
6
)
=
9
(iii)
(
−
3
x
−
3
)
=
10
(iv)
(
−
3
x
+
1
)
=
4
(v)
(
−
3
x
+
3
)
=
6
Question
25
25.
Solve :
(
x
+
5
)
3
+
(
−
4
x
−
5
)
7
=
(
5
x
+
1
)
6
(i)
13
15
(ii)
11
13
(iii)
11
17
(iv)
3
5
(v)
11
15
Assignment Key
1) (i)
2) (ii)
3) (iv)
4) (i)
5) (iii)
6) (iv)
7) (ii)
8) (v)
9) (ii)
10) (iii)
11) (v)
12) (v)
13) (iii)
14) (ii)
15) (i)
16) (v)
17) (ii)
18) (i)
19) (v)
20) (i)
21) (ii)
22) (i)
23) (iv)
24) (iii)
25) (v)
