EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Simple Linear Equations
Grade : ICSE Grade VIII
License : Non Commercial Use
Question
1
1.
In a right-angled triangle, the two acute angles are in the ratio 1 : 8. Find these angles.
(i)
A
=
8°
,
C
=
78°
(ii)
A
=
11°
,
C
=
81°
(iii)
A
=
12°
,
C
=
82°
(iv)
A
=
10°
,
C
=
80°
(v)
A
=
9°
,
C
=
79°
Question
2
2.
Which of the following equations is equivalent to
(
−
3
x
+
4
)
=
0
(i)
(
−
3
x
)
=
1
(ii)
(
−
3
x
)
=
(
−
4
)
(iii)
(
−
3
x
)
=
(
−
9
)
(iv)
(
−
3
x
)
=
(
−
6
)
(v)
(
−
3
x
)
=
(
−
2
)
Question
3
3.
The ratio of two numbers is
1
:
2
and their LCM is 20. Find the numbers.
(i)
8
:
16
(ii)
12
:
24
(iii)
10
:
20
(iv)
9
:
18
(v)
11
:
22
Question
4
4.
A ratio is equal to 17 : 30. If its antecendent is 1190, what is its consequent?
(i)
2103
(ii)
2099
(iii)
2101
(iv)
2097
(v)
2100
Question
5
5.
Which of the following equations is not the same as
(
5
x
+
4
)
=
(
x
+
5
)
(i)
(
5
x
+
3
)
=
(
x
+
4
)
(ii)
(
5
x
+
5
)
=
(
x
+
6
)
(iii)
(
5
x
+
9
)
=
(
x
+
10
)
(iv)
5
x
=
(
x
+
9
)
(v)
(
5
x
−
1
)
=
x
Question
6
6.
Solve :
(
3
x
−
5
)
+
(
x
+
4
)
2
=
(
x
+
5
)
(i)
18
5
(ii)
22
7
(iii)
10
3
(iv)
14
5
(v)
16
5
Question
7
7.
Solve :
(
−
x
−
5
)
+
(
x
−
2
)
10
=
(
−
x
+
4
)
2
(i)
-19
(ii)
-18
(iii)
-21
(iv)
-17
(v)
-16
Question
8
8.
Which of the following equations is the same as
(
7
x
+
9
)
=
(
4
x
+
2
)
(i)
(
7
x
+
12
)
=
(
4
x
+
9
)
(ii)
(
7
x
+
11
)
=
(
4
x
+
5
)
(iii)
(
7
x
+
13
)
=
(
4
x
+
5
)
(iv)
(
7
x
+
12
)
=
(
4
x
+
1
)
(v)
(
7
x
+
12
)
=
(
4
x
+
5
)
Question
9
9.
What number must be added to each term of the ratio
20
:
400
to make it
18
:
37
?
(i)
341
(ii)
338
(iii)
339
(iv)
342
(v)
340
Question
10
10.
Solve :
(
2
x
−
2
)
+
x
=
(
−
4
x
+
1
)
6
(i)
13
22
(ii)
15
22
(iii)
1
2
(iv)
13
24
(v)
13
20
Question
11
11.
Which of the following equations is not the same as
(
−
9
x
−
6
)
=
(
−
7
x
+
9
)
(i)
(
−
8
x
−
8
)
=
(
−
6
x
+
7
)
(ii)
(
−
10
x
−
5
)
=
(
−
8
x
+
10
)
(iii)
(
−
8
x
−
8
)
=
(
−
8
x
+
11
)
(iv)
(
−
10
x
−
4
)
=
(
−
8
x
+
11
)
(v)
(
−
8
x
−
7
)
=
(
−
6
x
+
8
)
Question
12
12.
The R.H.S of the equation
3
x
=
(
−
1
)
is
(i)
2
(ii)
(
−
1
)
(iii)
(
−
2
)
(iv)
3
x
(v)
(
−
3
)
Question
13
13.
Person P is
four times
as good a workman as Person Q.
They can do a work together in
3
1
5
days
.
In how many days Q alone can do the work?
(i)
19
days
(ii)
14
days
(iii)
16
days
(iv)
17
days
(v)
15
days
Question
14
14.
Two angles of a triangle measure 57° and 51° respectively. Find the measure of the third angle of the triangle
(i)
72°
(ii)
73°
(iii)
70°
(iv)
71°
(v)
74°
Question
15
15.
Solve :
8
(
4
x
−
7
)
+
4
(
4
x
+
7
)
=
12
4
x
(i)
(
-23
4
)
(ii)
(
-21
4
)
(iii)
(
-31
6
)
(iv)
(
-11
2
)
(v)
(
-19
4
)
Question
16
16.
Solve :
−
8
(
x
+
1
)
+
5
(
x
−
5
)
=
−
8
(
x
−
5
)
+
5
(
x
−
3
)
(i)
67
29
(ii)
71
31
(iii)
69
29
(iv)
65
29
(v)
7
3
Question
17
17.
Which of the following equations is not the same as
(
−
x
+
7
)
=
(
5
x
+
3
)
(i)
(
−
5
x
+
35
)
=
(
25
x
+
15
)
(ii)
(
5
x
−
35
)
=
(
−
25
x
−
15
)
(iii)
(
2
x
−
14
)
=
(
−
10
x
−
6
)
(iv)
(
4
x
−
28
)
=
(
−
20
x
−
12
)
(v)
(
−
4
x
+
28
)
=
(
5
x
+
7
)
Question
18
18.
A student walks from his house to school at 4.93 kmph and arrives 40.20 min late. The next day he walks at 19.75 kmph and reaches the school 1.00 min before time. What is the distance from his house to school?
(i)
2.51 km
(ii)
3.51 km
(iii)
4.51 km
(iv)
6.51 km
(v)
5.51 km
Question
19
19.
The additive inverse of the expression
6
is
(i)
(
−
7
)
(ii)
(
−
4
)
(iii)
6
(iv)
(
−
6
)
(v)
(
−
9
)
Question
20
20.
The R.H.S of the equation
(
8
x
+
2
)
=
0
is
(i)
0
(ii)
(
−
1
)
(iii)
3
(iv)
(
−
2
)
(v)
(
8
x
+
2
)
Question
21
21.
A student walks from his house to school at 5.20 kmph and arrives 22.20 min late. The next day he walks at 9.87 kmph and reaches the school 6.10 min before time. At what speed must he travel to reach the school on time?
(i)
8.27 kmph
(ii)
10.27 kmph
(iii)
9.27 kmph
(iv)
6.27 kmph
(v)
7.27 kmph
Question
22
22.
In △HIJ, if ∠H = 55° and ∠I = 51°, find the measure of ∠J
(i)
J
=
76°
(ii)
J
=
72°
(iii)
J
=
73°
(iv)
J
=
75°
(v)
J
=
74°
Question
23
23.
Which of the following equations is the same as
(
−
5
x
−
3
)
=
(
−
9
x
−
5
)
(i)
(
−
5
x
−
6
)
=
(
−
9
x
−
9
)
(ii)
(
−
5
x
−
4
)
=
(
−
9
x
−
8
)
(iii)
(
−
5
x
−
6
)
=
(
−
9
x
−
8
)
(iv)
(
−
5
x
−
8
)
=
(
−
9
x
−
8
)
(v)
(
−
5
x
−
6
)
=
(
−
9
x
−
7
)
Question
24
24.
Solve the equation
(
4
x
+
1
)
=
(
−
8
)
(i)
(
-13
6
)
(ii)
(
-5
2
)
(iii)
(
-9
4
)
(iv)
(
-7
4
)
(v)
(
-11
4
)
Question
25
25.
Which of the following equations is not the same as
5
x
=
0
(i)
(
−
2
x
−
5
)
=
(
−
7
x
−
5
)
(ii)
(
7
x
−
1
)
=
(
2
x
−
1
)
(iii)
(
12
x
+
5
)
=
(
−
7
x
−
5
)
(iv)
(
3
x
+
1
)
=
(
−
2
x
+
1
)
(v)
(
12
x
+
5
)
=
(
7
x
+
5
)
Assignment Key
1) (iv)
2) (ii)
3) (iii)
4) (v)
5) (iv)
6) (v)
7) (ii)
8) (v)
9) (v)
10) (i)
11) (iii)
12) (ii)
13) (iii)
14) (i)
15) (ii)
16) (i)
17) (v)
18) (iii)
19) (iv)
20) (i)
21) (i)
22) (v)
23) (iii)
24) (iii)
25) (iii)
