EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Simple Equations
Grade : CBSE Grade VII
License : Non Commercial Use
Question
1
1.
In the given triangle, ∠F = 87.36°. Find the measure of ∠G and ∠H
(i)
∠G = ∠H = 44.32°
(ii)
∠G = ∠H = 47.32°
(iii)
∠G = ∠H = 45.32°
(iv)
∠G = ∠H = 48.32°
(v)
∠G = ∠H = 46.32°
Question
2
2.
In △IJK, if ∠I = 64° and ∠J = 60°, find the measure of ∠K
(i)
K
=
55°
(ii)
K
=
56°
(iii)
K
=
54°
(iv)
K
=
57°
(v)
K
=
58°
Question
3
3.
The vertical angle of an isosceles triangle is twice the sum of its base angles. Find each angle of the triangle.
(i)
A
=
120°
,
B
=
28°
,
C
=
32°
(ii)
A
=
118°
,
B
=
32°
,
C
=
30°
(iii)
A
=
120°
,
B
=
30°
,
C
=
30°
(iv)
A
=
118°
,
B
=
30°
,
C
=
32°
(v)
A
=
122°
,
B
=
30°
,
C
=
28°
Question
4
4.
Which of the following equations is not the same as
(
6
x
+
7
)
=
(
5
x
+
7
)
(i)
(
6
x
+
11
)
=
(
5
x
+
11
)
(ii)
(
6
x
+
2
)
=
(
5
x
+
12
)
(iii)
(
6
x
+
3
)
=
(
5
x
+
3
)
(iv)
(
6
x
+
5
)
=
(
5
x
+
5
)
(v)
(
6
x
+
9
)
=
(
5
x
+
9
)
Question
5
5.
Which of the following equations is not the same as
(
−
x
−
6
)
=
0
(i)
(
−
8
)
=
(
x
−
2
)
(ii)
(
−
2
x
−
6
)
=
x
(iii)
(
−
2
x
−
6
)
=
(
−
x
)
(iv)
(
−
2
x
−
4
)
=
(
−
x
+
2
)
(v)
(
−
6
)
=
x
Question
6
6.
Solve the equation
(
x
−
7
)
=
0
(i)
7
(ii)
10
(iii)
6
(iv)
8
(v)
5
Question
7
7.
Which of the following equations is the same as
(
−
6
x
−
3
)
=
(
4
x
+
3
)
(i)
(
−
7
x
+
6
)
=
(
5
x
−
6
)
(ii)
(
−
5
x
−
4
)
=
(
3
x
+
4
)
(iii)
(
−
7
x
−
2
)
=
(
5
x
+
2
)
(iv)
(
−
5
x
−
12
)
=
(
5
x
−
6
)
(v)
(
−
5
x
−
12
)
=
(
3
x
+
12
)
Question
8
8.
Which of the following equations is the same as
(
−
7
x
−
9
)
=
(
9
x
−
4
)
(i)
(
21
x
+
32
)
=
(
−
27
x
+
12
)
(ii)
(
21
x
+
27
)
=
(
−
27
x
+
12
)
(iii)
(
21
x
+
22
)
=
(
−
27
x
+
12
)
(iv)
(
21
x
+
27
)
=
(
−
27
x
+
10
)
(v)
(
21
x
+
27
)
=
(
−
27
x
+
14
)
Question
9
9.
Solve the equation
(
9
7
x
−
5
)
=
0
(i)
37
9
(ii)
35
9
(iii)
11
3
(iv)
41
11
(v)
29
7
Question
10
10.
Which of the following equations is the same as
(
−
x
+
2
)
=
0
(i)
(
4
x
−
6
)
=
(
−
5
x
+
8
)
(ii)
(
−
2
x
+
2
)
=
(
−
x
)
(iii)
(
−
6
x
+
10
)
=
(
5
x
−
8
)
(iv)
2
=
(
−
x
)
(v)
(
−
2
x
+
2
)
=
x
Question
11
11.
Find the angles of the triangle
(i)
F
=
58°
,
G
=
45°
,
H
=
77°
(ii)
F
=
60°
,
G
=
45°
,
H
=
75°
(iii)
F
=
60°
,
G
=
43°
,
H
=
77°
(iv)
F
=
62°
,
G
=
45°
,
H
=
73°
(v)
F
=
58°
,
G
=
47°
,
H
=
75°
Question
12
12.
In an isosceles triangle, each base angle is four times its vertical angle. Find each angle of the triangle.
(i)
A
=
18°
,
B
=
80°
,
C
=
82°
(ii)
A
=
22°
,
B
=
80°
,
C
=
78°
(iii)
A
=
20°
,
B
=
80°
,
C
=
80°
(iv)
A
=
20°
,
B
=
78°
,
C
=
82°
(v)
A
=
18°
,
B
=
82°
,
C
=
80°
Question
13
13.
Which of the following equations is not the same as
(
−
x
+
5
)
=
0
(i)
(
−
x
+
9
)
=
4
(ii)
(
−
x
+
3
)
=
(
−
2
)
(iii)
(
−
x
+
10
)
=
(
−
5
)
(iv)
(
−
x
+
1
)
=
(
−
4
)
(v)
(
−
x
+
7
)
=
2
Question
14
14.
Which of the following equations is equivalent to
(
3
x
−
4
)
=
0
(i)
3
x
=
8
(ii)
3
x
=
2
(iii)
3
x
=
0
(iv)
3
x
=
4
(v)
3
x
=
6
Question
15
15.
In a right-angled triangle if one of the acute angles is 34°, find the measure of the other acute angle.
(i)
55°
(ii)
54°
(iii)
58°
(iv)
57°
(v)
56°
Question
16
16.
The ratio between the base angle and the vertical angle of an isosceles triangle is 1 : 2. Find each angle of the triangle
(i)
A
=
88°
,
B
=
47°
,
C
=
45°
(ii)
A
=
88°
,
B
=
45°
,
C
=
47°
(iii)
A
=
90°
,
B
=
45°
,
C
=
45°
(iv)
A
=
90°
,
B
=
43°
,
C
=
47°
(v)
A
=
92°
,
B
=
45°
,
C
=
43°
Question
17
17.
Which of the following equations is the same as
(
9
x
+
4
)
=
(
−
2
)
(i)
(
18
x
+
12
)
=
(
−
4
)
(ii)
(
18
x
+
8
)
=
(
−
9
)
(iii)
(
18
x
+
8
)
=
(
−
4
)
(iv)
(
18
x
+
4
)
=
(
−
4
)
(v)
(
18
x
+
8
)
=
1
Question
18
18.
Which of the following equations is the same as
(
−
5
x
+
8
)
=
0
(i)
(
−
5
x
+
7
)
=
2
(ii)
(
−
5
x
+
10
)
=
(
−
3
)
(iii)
(
−
5
x
+
10
)
=
7
(iv)
(
−
5
x
+
10
)
=
2
(v)
(
−
5
x
+
13
)
=
2
Question
19
19.
If all the three angles of a triangle are of the same measure, find the measure of each of the angles.
(i)
60°
(ii)
58°
(iii)
59°
(iv)
61°
(v)
62°
Question
20
20.
Which of the following equations is not the same as
(
6
x
+
7
)
=
0
(i)
(
6
x
+
5
)
=
(
−
2
)
(ii)
(
6
x
+
3
)
=
(
−
4
)
(iii)
(
6
x
+
11
)
=
4
(iv)
(
6
x
+
9
)
=
2
(v)
(
6
x
+
4
)
=
3
Question
21
21.
Which of the following equations is not the same as
(
−
2
x
+
4
)
=
9
(i)
(
−
2
x
+
2
)
=
7
(ii)
(
−
2
x
+
6
)
=
11
(iii)
(
−
2
x
−
1
)
=
4
(iv)
(
−
2
x
+
8
)
=
5
(v)
(
−
2
x
+
9
)
=
14
Question
22
22.
Which of the following equations is not the same as
(
−
2
x
−
4
)
=
0
(i)
7
x
=
(
9
x
+
4
)
(ii)
(
x
+
3
)
=
(
3
x
+
7
)
(iii)
(
−
11
x
−
8
)
=
(
−
9
x
−
4
)
(iv)
(
−
5
x
−
11
)
=
(
−
3
x
−
7
)
(v)
7
x
=
(
−
9
x
−
4
)
Question
23
23.
Which of the following equations is not the same as
(
−
9
x
+
8
)
=
6
(i)
(
−
4
x
−
1
)
=
(
5
x
−
3
)
(ii)
(
−
14
x
−
1
)
=
(
5
x
+
15
)
(iii)
(
−
4
x
+
17
)
=
(
5
x
+
15
)
(iv)
(
−
14
x
+
17
)
=
(
−
5
x
+
15
)
(v)
(
−
14
x
−
1
)
=
(
−
5
x
−
3
)
Question
24
24.
Which of the following equations is not the same as
(
4
x
+
9
)
=
0
(i)
(
−
16
x
−
36
)
=
0
(ii)
(
20
x
+
45
)
=
5
(iii)
(
8
x
+
18
)
=
0
(iv)
(
−
4
x
−
9
)
=
0
(v)
(
−
20
x
−
45
)
=
0
Question
25
25.
Which of the following equations is equivalent to
5
x
=
x
(i)
4
x
=
(
−
2
)
(ii)
4
x
=
(
−
1
)
(iii)
4
x
=
0
(iv)
4
x
=
2
(v)
4
x
=
1
Assignment Key
1) (v)
2) (ii)
3) (iii)
4) (ii)
5) (ii)
6) (i)
7) (iv)
8) (ii)
9) (ii)
10) (ii)
11) (ii)
12) (iii)
13) (iii)
14) (iv)
15) (v)
16) (iii)
17) (iii)
18) (iv)
19) (i)
20) (v)
21) (iv)
22) (v)
23) (ii)
24) (ii)
25) (iii)
