EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Linear Equations in One Variable
Grade : SSC Grade VIII
License : Non Commercial Use
Question
1
1.
Which of the following equations is the same as
(
−
9
x
−
5
)
=
(
−
6
x
−
1
)
(i)
(
−
9
x
−
2
)
=
(
−
6
x
+
7
)
(ii)
(
−
9
x
−
2
)
=
(
−
6
x
+
2
)
(iii)
(
−
9
x
−
2
)
=
(
−
6
x
−
3
)
(iv)
(
−
9
x
−
1
)
=
(
−
6
x
+
2
)
(v)
(
−
9
x
−
3
)
=
(
−
6
x
+
2
)
Question
2
2.
A student walks from his house to school at 8.05 kmph and arrives 0.40 min late. The next day he walks at 10.28 kmph and reaches the school 6.10 min before time. At what speed must he travel to reach the school on time?
(i)
7.16 kmph
(ii)
10.16 kmph
(iii)
6.16 kmph
(iv)
8.16 kmph
(v)
9.16 kmph
Question
3
3.
A box contains 528 fruits of 3 types. The mangoes, apples, and oranges are in the ratio 2 : 6 : 3. The number of mangoes in the box =
(i)
98
(ii)
97
(iii)
94
(iv)
95
(v)
96
Question
4
4.
In a company, the number of engineers to managers is in the ratio 3 : 1 . After a year, when 15 engineers and 20 managers left, the ratio between engineers to managers is 51 : 14 . Find the number of engineers and managers at the beginning?
(i)
380
(ii)
370
(iii)
340
(iv)
350
(v)
360
Question
5
5.
Which of the following equations is not the same as
(
−
6
x
+
9
)
=
(
7
x
−
9
)
(i)
(
−
6
x
+
11
)
=
(
7
x
−
7
)
(ii)
(
−
6
x
+
8
)
=
(
7
x
−
10
)
(iii)
(
−
6
x
+
7
)
=
(
7
x
−
11
)
(iv)
(
−
6
x
+
4
)
=
(
7
x
−
4
)
(v)
(
−
6
x
+
10
)
=
(
7
x
−
8
)
Question
6
6.
Solve :
(
−
x
−
7
)
(
−
4
x
−
8
)
=
1
(
−
3
)
(i)
(
-29
7
)
(ii)
(
-31
7
)
(iii)
(
-27
7
)
(iv)
(
-37
9
)
(v)
(
-21
5
)
Question
7
7.
Which of the following equations is not the same as
(
−
x
−
1
)
=
(
3
x
+
6
)
(i)
(
−
x
−
2
)
=
(
3
x
+
5
)
(ii)
(
−
x
−
4
)
=
(
3
x
+
3
)
(iii)
(
−
x
+
1
)
=
(
3
x
+
4
)
(iv)
(
−
x
+
2
)
=
(
3
x
+
9
)
(v)
(
−
x
)
=
(
3
x
+
7
)
Question
8
8.
Which of the following equations is not the same as
(
3
x
−
8
)
=
(
−
6
)
(i)
(
−
4
x
−
5
)
=
(
−
7
x
−
3
)
(ii)
(
8
x
−
14
)
=
(
−
5
x
)
(iii)
(
−
2
x
−
2
)
=
(
−
5
x
)
(iv)
(
10
x
−
11
)
=
(
7
x
−
9
)
(v)
(
8
x
−
14
)
=
(
5
x
−
12
)
Question
9
9.
Solve :
−
5
(
x
−
3
)
+
2
(
x
−
2
)
=
1
(
x
−
2
)
−
4
(
x
−
4
)
(i)
4
3
(ii)
6
5
(iii)
2
3
(iv)
2
Question
10
10.
Find the missing angle in the given quadrilateral
(i)
134.41°
(ii)
149.41°
(iii)
144.41°
(iv)
139.41°
(v)
164.41°
Question
11
11.
Solve :
(
−
5
x
−
5
)
7
+
x
2
=
(
5
x
+
5
)
14
(i)
(
-17
8
)
(ii)
(
-15
8
)
(iii)
(
-13
6
)
(iv)
(
-17
10
)
(v)
(
-13
8
)
Question
12
12.
In the given figure l ∥ m. Find the value of 'y'
(i)
31
(ii)
29
(iii)
27
(iv)
30
(v)
33
Question
13
13.
Which of the following equations is the same as
(
−
3
x
+
4
)
=
(
x
−
4
)
(i)
(
−
2
x
)
=
0
(ii)
(
−
6
x
+
2
)
=
(
4
x
−
2
)
(iii)
6
=
(
−
2
x
−
6
)
(iv)
(
−
4
x
+
8
)
=
(
2
x
−
8
)
(v)
(
−
2
x
)
=
(
2
x
−
8
)
Question
14
14.
Solve :
(
−
3
x
+
5
)
+
2
x
6
=
x
3
(i)
5
3
(ii)
1
(iii)
7
5
(iv)
3
(v)
7
3
Question
15
15.
The speed of a motor boat is 21.16 m/sec and the speed of a stream is 5.96 m/sec. A & B are two location adjacent to a stream. If it takes 273.91 sec to go from point A to B and come back, What is the distance between A and B?
(i)
2666.06 m
(ii)
2668.06 m
(iii)
2667.06 m
(iv)
2670.06 m
(v)
2669.06 m
Question
16
16.
Which of the following equations is not the same as
(
−
6
x
−
2
)
=
(
7
x
+
3
)
(i)
(
−
18
x
−
6
)
=
(
7
x
+
6
)
(ii)
(
−
30
x
−
10
)
=
(
35
x
+
15
)
(iii)
(
12
x
+
4
)
=
(
−
14
x
−
6
)
(iv)
(
30
x
+
10
)
=
(
−
35
x
−
15
)
(v)
(
18
x
+
6
)
=
(
−
21
x
−
9
)
Question
17
17.
Which of the following equations is not the same as
(
−
3
x
+
8
)
=
0
(i)
(
−
3
x
+
11
)
=
3
(ii)
(
−
3
x
+
5
)
=
(
−
3
)
(iii)
(
−
3
x
+
6
)
=
2
(iv)
(
−
3
x
+
3
)
=
(
−
5
)
(v)
(
−
3
x
+
13
)
=
5
Question
18
18.
The L.H.S of the equation
(
8
x
+
9
)
=
3
is
(i)
(
7
x
+
9
)
(ii)
(
8
x
+
11
)
(iii)
(
8
x
+
9
)
(iv)
3
(v)
(
8
x
+
7
)
Question
19
19.
The ages of A and B are in the ratio 10 : 9. 8 years ago, their ages were in the ratio 9 : 8. Find their present ages.
(i)
100
:
90
(ii)
70
:
63
(iii)
80
:
72
(iv)
60
:
54
Question
20
20.
Find the missing angle in the given rhombus
(i)
142.28°
(ii)
117.28°
(iii)
122.28°
(iv)
127.28°
(v)
112.28°
Question
21
21.
Solve the equation
(
7
x
−
7
)
=
(
2
x
−
4
)
(i)
3
7
(ii)
1
5
(iii)
1
(iv)
3
5
Question
22
22.
Solve :
(
x
−
5
)
2
+
(
−
x
+
1
)
=
(
−
x
+
5
)
6
(i)
-8
(ii)
-9
(iii)
-7
(iv)
-4
(v)
-6
Question
23
23.
Solve the equation
(
x
+
6
)
=
0
(i)
-3
(ii)
-6
(iii)
-8
(iv)
-7
(v)
-5
Question
24
24.
Which of the following equations is the same as
(
x
−
3
)
=
(
6
x
+
2
)
(i)
(
x
−
12
)
=
(
6
x
−
2
)
(ii)
(
x
−
2
)
=
(
6
x
−
2
)
(iii)
(
x
−
7
)
=
(
6
x
−
2
)
(iv)
(
x
−
7
)
=
(
6
x
+
1
)
(v)
(
x
−
7
)
=
(
6
x
−
5
)
Question
25
25.
Solve the equation
(
−
8
x
+
2
)
=
0
(i)
(
-1
4
)
(ii)
1
4
(iii)
1
2
(iv)
1
6
(v)
3
4
Assignment Key
1) (ii)
2) (iv)
3) (v)
4) (v)
5) (iv)
6) (i)
7) (iii)
8) (ii)
9) (i)
10) (i)
11) (ii)
12) (iv)
13) (v)
14) (i)
15) (ii)
16) (i)
17) (iii)
18) (iii)
19) (iii)
20) (v)
21) (iv)
22) (iii)
23) (ii)
24) (iii)
25) (ii)
