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 not the same as
(
4
x
−
7
)
=
(
−
8
x
−
6
)
(i)
(
−
12
)
=
(
−
12
x
−
11
)
(ii)
(
5
x
+
1
)
=
(
−
7
x
+
2
)
(iii)
(
5
x
+
1
)
=
(
−
9
x
−
14
)
(iv)
(
8
x
−
2
)
=
(
−
4
x
−
1
)
(v)
(
3
x
−
15
)
=
(
−
9
x
−
14
)
Question
2
2.
The L.H.S of the equation
(
−
9
x
−
2
)
=
(
−
8
x
−
5
)
is
(i)
(
−
9
x
−
2
)
(ii)
(
−
10
x
−
2
)
(iii)
(
−
9
x
+
1
)
(iv)
(
−
8
x
−
5
)
(v)
(
−
9
x
−
5
)
Question
3
3.
Which of the following equations is the same as
(
−
x
−
9
)
=
0
(i)
(
7
x
−
16
)
=
(
8
x
−
7
)
(ii)
(
−
3
x
−
8
)
=
(
2
x
−
1
)
(iii)
(
7
x
−
16
)
=
(
−
8
x
+
7
)
(iv)
(
x
−
10
)
=
(
−
2
x
+
1
)
(v)
(
−
9
x
−
2
)
=
(
8
x
−
7
)
Question
4
4.
Which of the following equations is equivalent to
(
8
x
−
4
)
=
(
−
1
)
(i)
8
x
=
(
−
1
)
(ii)
8
x
=
3
(iii)
8
x
=
8
(iv)
8
x
=
(
−
2
)
(v)
8
x
=
7
Question
5
5.
Solve the equation
(
−
8
7
x
+
5
3
)
=
0
(i)
37
26
(ii)
35
24
(iii)
3
2
(iv)
37
24
(v)
11
8
Question
6
6.
Which of the following equations is not the same as
(
5
x
−
5
)
=
(
−
8
)
(i)
(
−
15
x
+
15
)
=
(
−
11
)
(ii)
(
−
10
x
+
10
)
=
16
(iii)
(
25
x
−
25
)
=
(
−
40
)
(iv)
(
−
5
x
+
5
)
=
8
(v)
(
10
x
−
10
)
=
(
−
16
)
Question
7
7.
Solve :
(
x
+
3
)
+
(
x
−
4
)
=
(
x
+
5
)
6
(i)
2
(ii)
3
(iii)
0
(iv)
1
(v)
-2
Question
8
8.
Solve the equation
(
−
3
x
+
2
)
=
(
3
x
−
1
)
(i)
1
(ii)
1
4
(iii)
(
-1
2
)
(iv)
1
2
(v)
3
2
Question
9
9.
In the given figure l ∥ m. Find the value of 't'
(i)
10
(ii)
11
(iii)
13
(iv)
12
(v)
15
Question
10
10.
Solve :
(
−
x
−
4
)
2
+
(
−
x
+
2
)
9
=
(
x
−
2
)
3
(i)
(
-20
17
)
(ii)
(
-6
5
)
(iii)
(
-22
19
)
(iv)
(
-18
17
)
(v)
(
-22
17
)
Question
11
11.
Which of the following equations is the same as
(
−
4
x
+
3
)
=
7
(i)
(
−
4
x
+
10
)
=
12
(ii)
(
−
4
x
+
8
)
=
12
(iii)
(
−
4
x
+
8
)
=
13
(iv)
(
−
4
x
+
8
)
=
11
(v)
(
−
4
x
+
6
)
=
12
Question
12
12.
Find the value of 'i' in the following figure
(i)
9
(ii)
10
(iii)
6
(iv)
12
(v)
8
Question
13
13.
The additive inverse of the expression
3
is
(i)
(
−
4
)
(ii)
(
−
5
)
(iii)
3
(iv)
(
−
3
)
(v)
(
−
1
)
Question
14
14.
Solve :
(
4
x
−
1
)
+
(
5
x
−
3
)
2
=
(
4
x
+
1
)
8
(i)
1
2
(ii)
7
18
(iii)
5
16
(iv)
9
16
(v)
7
16
Question
15
15.
Which of the following equations is the same as
(
3
x
−
6
)
=
(
−
6
x
+
1
)
(i)
(
4
x
−
5
)
=
(
−
7
x
)
(ii)
(
2
x
−
7
)
=
(
−
7
x
)
(iii)
(
2
x
−
7
)
=
(
−
5
x
+
2
)
(iv)
(
2
x
−
5
)
=
(
−
5
x
)
(v)
(
4
x
−
7
)
=
(
−
7
x
+
2
)
Question
16
16.
A bag contains ₹2460 in the form of five-rupee, two-rupee and one-rupee coins in the ratio 20 : 9 : 5. Find the number of coins of each type
(i)
400 , 180 , 100
(ii)
398 , 185 , 100
(iii)
402 , 175 , 100
(iv)
399 , 180 , 105
(v)
401 , 185 , 95
Question
17
17.
Solve :
−
3
(
x
−
3
)
−
2
(
x
−
2
)
=
4
(
x
−
2
)
−
9
(
x
+
2
)
(i)
32
13
(ii)
38
15
(iii)
34
13
(iv)
36
13
(v)
30
11
Question
18
18.
Solve :
(
−
5
x
+
7
)
(
−
7
x
−
6
)
=
5
(
−
5
)
(i)
(
-1
12
)
(ii)
1
14
(iii)
1
4
(iv)
1
10
(v)
1
12
Question
19
19.
Solve :
(
2
x
−
4
)
2
+
(
3
x
−
2
)
12
=
4
x
(i)
(
-26
33
)
(ii)
(
-26
31
)
(iii)
(
-8
11
)
(iv)
(
-28
33
)
(v)
(
-26
35
)
Question
20
20.
The linear equation
(
7
x
−
7
)
=
(
−
4
x
+
1
)
is equivalent to
(i)
(
7
x
−
7
)
=
(
−
4
x
+
3
)
(ii)
(
7
x
−
7
)
=
(
−
4
x
−
1
)
(iii)
(
12
x
−
8
)
=
0
(iv)
(
10
x
−
8
)
=
0
(v)
(
11
x
−
8
)
=
0
Question
21
21.
A student walks from his house to school at 3.67 kmph and arrives 39.30 min late. The next day he walks at 16.74 kmph and reaches the school 6.70 min before time. At what speed must he travel to reach the school on time?
(i)
10.02 kmph
(ii)
9.02 kmph
(iii)
11.02 kmph
(iv)
12.02 kmph
(v)
13.02 kmph
Question
22
22.
The ratio of males to females in a committee of 98 members is 1 : 6. How many more ladies should be added to the committee so that the ratio of males to females is 7 : 69?
(i)
56
(ii)
53
(iii)
55
(iv)
54
(v)
52
Question
23
23.
Solve the equation
(
−
6
x
)
=
(
−
1
)
(i)
1
8
(ii)
1
4
(iii)
1
6
(iv)
(
-1
6
)
(v)
1
2
Question
24
24.
A student walks from his house to school at 1.45 kmph and arrives 26.30 min late. The next day he walks at 3.91 kmph and reaches the school 3.50 min before time. What is the distance from his house to school?
(i)
0.14 km
(ii)
3.14 km
(iii)
1.14 km
(iv)
9.14 km
(v)
2.14 km
Question
25
25.
Which of the following equations is equivalent to
(
−
7
x
−
4
)
=
(
2
x
−
7
)
(i)
(
−
9
x
)
=
(
−
3
)
(ii)
(
−
9
x
)
=
(
−
6
)
(iii)
(
−
9
x
)
=
(
−
8
)
(iv)
(
−
9
x
)
=
2
(v)
(
−
9
x
)
=
0
Assignment Key
1) (iii)
2) (i)
3) (i)
4) (ii)
5) (ii)
6) (i)
7) (iv)
8) (iv)
9) (iv)
10) (i)
11) (ii)
12) (i)
13) (iv)
14) (v)
15) (ii)
16) (i)
17) (iii)
18) (v)
19) (i)
20) (v)
21) (iii)
22) (iv)
23) (iii)
24) (iii)
25) (i)
