EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Simple Equations
Grade : CBSE Grade VII
License : Non Commercial Use
Question
1
1.
Which of the following equations is the same as
(
−
5
x
+
5
)
=
(
−
3
x
−
3
)
(i)
(
−
5
x
+
7
)
=
(
−
3
x
−
6
)
(ii)
(
−
5
x
+
7
)
=
(
−
3
x
+
4
)
(iii)
(
−
5
x
+
6
)
=
(
−
3
x
−
1
)
(iv)
(
−
5
x
+
8
)
=
(
−
3
x
−
1
)
(v)
(
−
5
x
+
7
)
=
(
−
3
x
−
1
)
Question
2
2.
Which of the following equations is not the same as
(
−
4
x
+
7
)
=
(
9
x
+
9
)
(i)
(
−
2
x
+
8
)
=
(
7
x
+
8
)
(ii)
4
x
=
(
17
x
+
2
)
(iii)
(
−
2
x
+
8
)
=
(
11
x
+
10
)
(iv)
(
−
12
x
+
14
)
=
(
x
+
16
)
(v)
(
−
6
x
+
6
)
=
(
7
x
+
8
)
Question
3
3.
In △BCD, if ∠B = 30° and ∠C = ∠D, find the measure of each of the equal angles of the triangle
(i)
75°
(ii)
74°
(iii)
76°
(iv)
73°
(v)
77°
Question
4
4.
Solve the equation
(
8
x
+
5
)
=
(
6
x
−
2
)
(i)
(
-5
2
)
(ii)
-4
(iii)
(
-7
2
)
(iv)
(
-13
4
)
(v)
(
-9
2
)
Question
5
5.
Solve the equation
(
−
6
7
x
+
6
)
=
(
−
2
5
x
−
5
4
)
(i)
1013
64
(ii)
985
62
(iii)
1017
64
(iv)
95
6
(v)
1015
64
Question
6
6.
Find the measure of each of the two equal angles of an isosceles right-angled triangle.
(i)
47°
(ii)
43°
(iii)
44°
(iv)
45°
(v)
46°
Question
7
7.
The L.H.S of the equation
(
−
4
x
+
4
)
=
(
−
3
x
−
6
)
is
(i)
(
−
4
x
+
4
)
(ii)
(
−
5
x
+
4
)
(iii)
(
−
3
x
−
6
)
(iv)
(
−
4
x
+
2
)
(v)
(
−
4
x
+
7
)
Question
8
8.
Which of the following equations is not equivalent to
(
4
x
+
9
)
=
0
(i)
4
x
=
(
−
6
)
(ii)
16
x
=
(
−
36
)
(iii)
8
x
=
(
−
18
)
(iv)
(
−
4
x
)
=
9
(v)
(
−
16
x
)
=
36
Question
9
9.
Which of the following equations is the same as
(
9
x
+
5
)
=
(
2
x
−
7
)
(i)
(
4
x
+
13
)
=
(
7
x
−
15
)
(ii)
(
12
x
+
3
)
=
(
−
x
−
5
)
(iii)
(
14
x
−
3
)
=
(
7
x
−
15
)
(iv)
(
14
x
−
3
)
=
(
−
3
x
+
1
)
(v)
(
6
x
+
7
)
=
(
5
x
−
9
)
Question
10
10.
Calculate the value of x in the following figure
(i)
x
=
90°
(ii)
x
=
88°
(iii)
x
=
91°
(iv)
x
=
92°
(v)
x
=
89°
Question
11
11.
Two angles of a triangle measure 54° and 50° respectively. Find the measure of the third angle of the triangle
(i)
77°
(ii)
75°
(iii)
78°
(iv)
74°
(v)
76°
Question
12
12.
The ratio between the base angle and the vertical angle of an isosceles triangle is 4 : 1. Find each angle of the triangle
(i)
A
=
22°
,
B
=
80°
,
C
=
78°
(ii)
A
=
20°
,
B
=
80°
,
C
=
80°
(iii)
A
=
18°
,
B
=
82°
,
C
=
80°
(iv)
A
=
18°
,
B
=
80°
,
C
=
82°
(v)
A
=
20°
,
B
=
78°
,
C
=
82°
Question
13
13.
Which of the following equations is the same as
(
−
5
x
)
=
0
(i)
(
−
4
x
+
2
)
=
(
x
+
2
)
(ii)
(
−
6
x
−
2
)
=
(
x
+
2
)
(iii)
(
−
4
x
+
2
)
=
(
−
x
−
2
)
(iv)
(
−
4
x
−
8
)
=
(
−
x
+
8
)
(v)
(
−
6
x
+
8
)
=
(
x
−
8
)
Question
14
14.
In a right-angled triangle if one of the acute angles is 58°, find the measure of the other acute angle.
(i)
30°
(ii)
34°
(iii)
32°
(iv)
31°
(v)
33°
Question
15
15.
Which of the following equations is the same as
(
3
x
−
5
)
=
0
(i)
3
x
=
8
(ii)
(
3
x
−
4
)
=
5
(iii)
(
3
x
+
4
)
=
5
(iv)
3
x
=
2
(v)
3
x
=
5
Question
16
16.
If all the three angles of a triangle are of the same measure, find the measure of each of the angles.
(i)
59°
(ii)
62°
(iii)
60°
(iv)
61°
(v)
58°
Question
17
17.
Which of the following equations is the same as
(
8
x
+
2
)
=
3
(i)
(
16
x
+
5
)
=
(
−
8
x
)
(ii)
(
6
x
+
3
)
=
(
2
x
+
2
)
(iii)
(
10
x
+
1
)
=
(
−
2
x
+
4
)
(iv)
(
6
x
+
3
)
=
(
−
2
x
+
4
)
(v)
(
−
1
)
=
(
8
x
+
6
)
Question
18
18.
The L.H.S of the equation
(
−
x
−
9
)
=
(
−
8
)
is
(i)
(
−
2
x
−
9
)
(ii)
(
−
8
)
(iii)
(
−
x
−
12
)
(iv)
(
−
x
−
7
)
(v)
(
−
x
−
9
)
Question
19
19.
Find the unknown angles in the following figure
(i)
J
=
42°
,
K
=
42°
(ii)
J
=
40°
,
K
=
40°
(iii)
J
=
41°
,
K
=
41°
(iv)
J
=
39°
,
K
=
39°
(v)
J
=
43°
,
K
=
43°
Question
20
20.
Find the unknown angle in the following figure
(i)
x
=
90°
(ii)
x
=
88°
(iii)
x
=
91°
(iv)
x
=
92°
(v)
x
=
89°
Question
21
21.
Which of the following equations is not the same as
(
x
−
7
)
=
(
−
2
x
−
1
)
(i)
(
x
−
6
)
=
(
−
2
x
)
(ii)
(
x
−
12
)
=
(
−
2
x
−
6
)
(iii)
(
x
−
2
)
=
(
−
2
x
+
4
)
(iv)
(
x
−
8
)
=
(
−
2
x
−
2
)
(v)
(
x
−
5
)
=
(
−
2
x
−
3
)
Question
22
22.
Which of the following equations is the same as
(
−
3
x
+
5
)
=
0
(i)
(
12
x
−
17
)
=
0
(ii)
(
12
x
−
20
)
=
4
(iii)
(
12
x
−
23
)
=
0
(iv)
(
12
x
−
20
)
=
0
(v)
(
12
x
−
20
)
=
(
−
4
)
Question
23
23.
Solve the equation
(
5
4
x
+
8
5
)
=
0
(i)
(
-34
27
)
(ii)
(
-30
23
)
(iii)
(
-32
25
)
(iv)
(
-6
5
)
(v)
(
-34
25
)
Question
24
24.
One of the two equal angles of an isosceles triangle measures 40°. Find the measure of each angle of the triangle.
(i)
A
=
38°
,
B
=
40°
,
C
=
102°
(ii)
A
=
40°
,
B
=
40°
,
C
=
100°
(iii)
A
=
38°
,
B
=
42°
,
C
=
100°
(iv)
A
=
40°
,
B
=
38°
,
C
=
102°
(v)
A
=
42°
,
B
=
40°
,
C
=
98°
Question
25
25.
Which of the following equations is the same as
(
7
x
−
6
)
=
(
−
8
)
(i)
7
x
=
(
−
3
)
(ii)
(
7
x
−
1
)
=
0
(iii)
(
7
x
−
1
)
=
(
−
6
)
(iv)
(
7
x
−
1
)
=
(
−
3
)
(v)
(
7
x
−
2
)
=
(
−
3
)
Assignment Key
1) (v)
2) (i)
3) (i)
4) (iii)
5) (v)
6) (iv)
7) (i)
8) (i)
9) (iii)
10) (i)
11) (v)
12) (ii)
13) (i)
14) (iii)
15) (v)
16) (iii)
17) (iv)
18) (v)
19) (iii)
20) (i)
21) (v)
22) (iv)
23) (iii)
24) (ii)
25) (iv)
