EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Simple Equations
Grade : CBSE Grade VII
License : Non Commercial Use
Question
1
1.
In an isosceles triangle, each base angle is four times its vertical angle. Find each angle of the triangle.
(i)
A
=
22°
,
B
=
80°
,
C
=
78°
(ii)
A
=
18°
,
B
=
82°
,
C
=
80°
(iii)
A
=
20°
,
B
=
78°
,
C
=
82°
(iv)
A
=
20°
,
B
=
80°
,
C
=
80°
(v)
A
=
18°
,
B
=
80°
,
C
=
82°
Question
2
2.
Which of the following equations is not equivalent to
(
−
3
x
−
3
)
=
(
5
x
+
6
)
(i)
(
−
8
x
)
=
6
(ii)
(
−
32
x
)
=
36
(iii)
8
x
=
(
−
9
)
(iv)
16
x
=
(
−
18
)
(v)
40
x
=
(
−
45
)
Question
3
3.
Which of the following equations is the same as
(
9
x
−
3
)
=
0
(i)
9
x
=
8
(ii)
(
9
x
+
1
)
=
3
(iii)
9
x
=
3
(iv)
9
x
=
(
−
2
)
(v)
(
9
x
−
1
)
=
3
Question
4
4.
The additive inverse of the expression
(
−
6
x
+
3
)
is
(i)
(
5
x
−
3
)
(ii)
(
6
x
−
6
)
(iii)
(
6
x
−
3
)
(iv)
(
−
6
x
+
3
)
(v)
(
6
x
−
1
)
Question
5
5.
Which of the following equations is not the same as
(
5
x
+
9
)
=
0
(i)
(
−
25
x
−
45
)
=
0
(ii)
(
−
5
x
−
9
)
=
0
(iii)
(
10
x
+
18
)
=
2
(iv)
(
20
x
+
36
)
=
0
(v)
(
15
x
+
27
)
=
0
Question
6
6.
Which of the following equations is the same as
(
−
3
x
+
1
)
=
(
−
6
)
(i)
(
12
x
−
4
)
=
22
(ii)
(
12
x
−
1
)
=
24
(iii)
(
12
x
−
4
)
=
24
(iv)
(
12
x
−
7
)
=
24
(v)
(
12
x
−
4
)
=
26
Question
7
7.
Which of the following equations is the same as
(
−
2
x
+
3
)
=
0
(i)
(
4
x
−
11
)
=
0
(ii)
(
4
x
−
6
)
=
0
(iii)
(
4
x
−
1
)
=
0
(iv)
(
4
x
−
6
)
=
(
−
3
)
(v)
(
4
x
−
6
)
=
3
Question
8
8.
Find the measure of each of the two equal angles of an isosceles right-angled triangle.
(i)
43°
(ii)
44°
(iii)
46°
(iv)
47°
(v)
45°
Question
9
9.
Which of the following equations is the same as
(
−
8
x
−
9
)
=
0
(i)
(
−
13
x
−
3
)
=
(
5
x
−
6
)
(ii)
(
−
3
x
−
15
)
=
(
−
5
x
+
6
)
(iii)
(
x
−
11
)
=
(
−
9
x
+
2
)
(iv)
(
−
17
x
−
7
)
=
(
9
x
−
2
)
(v)
(
−
3
x
−
15
)
=
(
5
x
−
6
)
Question
10
10.
Solve the equation
(
−
6
x
−
9
)
=
(
−
2
)
(i)
(
-5
4
)
(ii)
(
-5
6
)
(iii)
(
-9
8
)
(iv)
(
-7
6
)
(v)
(
-3
2
)
Question
11
11.
Which of the following equations is the same as
(
3
x
−
6
)
=
(
−
6
)
(i)
(
3
x
−
9
)
=
(
−
11
)
(ii)
(
3
x
−
10
)
=
(
−
9
)
(iii)
(
3
x
−
9
)
=
(
−
7
)
(iv)
(
3
x
−
8
)
=
(
−
9
)
(v)
(
3
x
−
9
)
=
(
−
9
)
Question
12
12.
The R.H.S of the equation
(
−
6
x
−
5
)
=
0
is
(i)
(
−
1
)
(ii)
2
(iii)
(
−
3
)
(iv)
(
−
6
x
−
5
)
(v)
0
Question
13
13.
Which of the following equations is not the same as
(
7
x
−
3
)
=
0
(i)
(
8
x
−
8
)
=
(
x
−
5
)
(ii)
(
4
x
−
4
)
=
(
3
x
+
1
)
(iii)
(
10
x
−
2
)
=
(
3
x
+
1
)
(iv)
(
4
x
−
4
)
=
(
−
3
x
−
1
)
(v)
(
6
x
+
2
)
=
(
−
x
+
5
)
Question
14
14.
Which of the following equations is not the same as
(
−
5
x
+
9
)
=
0
(i)
(
−
5
x
+
5
)
=
4
(ii)
(
−
5
x
+
6
)
=
(
−
3
)
(iii)
(
−
5
x
+
4
)
=
(
−
5
)
(iv)
(
−
5
x
+
14
)
=
5
(v)
(
−
5
x
+
12
)
=
3
Question
15
15.
Two angles of a triangle measure 60° and 62° respectively. Find the measure of the third angle of the triangle
(i)
56°
(ii)
58°
(iii)
60°
(iv)
57°
(v)
59°
Question
16
16.
In the given figure, △EFG in which side FG has been produced to H. If ∠GEF = x° , ∠EFG = (7/9a)° , ∠FGE = (4/9a)° and ∠EGH = (14/9a)°, find the values of a and x.
(i)
a
=
91°
,
x
=
71°
(ii)
a
=
89°
,
x
=
69°
(iii)
a
=
92°
,
x
=
72°
(iv)
a
=
90°
,
x
=
70°
(v)
a
=
88°
,
x
=
68°
Question
17
17.
Which of the following equations is the same as
(
−
x
−
8
)
=
2
(i)
(
−
2
x
−
7
)
=
(
x
+
1
)
(ii)
(
−
5
)
=
(
−
x
−
1
)
(iii)
(
−
2
x
−
11
)
=
(
x
+
5
)
(iv)
(
−
9
)
=
(
−
x
+
3
)
(v)
(
−
2
x
−
7
)
=
(
−
x
+
3
)
Question
18
18.
Which of the following equations is the same as
(
−
7
x
−
6
)
=
4
(i)
(
−
7
x
+
1
)
=
9
(ii)
(
−
7
x
−
1
)
=
5
(iii)
(
−
7
x
−
1
)
=
9
(iv)
(
−
7
x
−
3
)
=
9
(v)
(
−
7
x
−
1
)
=
13
Question
19
19.
Find the angles of the triangle
(i)
F
=
25°
,
G
=
18°
,
H
=
137°
(ii)
F
=
23°
,
G
=
22°
,
H
=
135°
(iii)
F
=
27°
,
G
=
20°
,
H
=
133°
(iv)
F
=
23°
,
G
=
20°
,
H
=
137°
(v)
F
=
25°
,
G
=
20°
,
H
=
135°
Question
20
20.
Which of the following equations is not the same as
(
−
3
x
−
2
)
=
(
−
1
)
(i)
(
−
3
x
)
=
1
(ii)
(
−
3
x
−
6
)
=
(
−
5
)
(iii)
(
−
3
x
+
2
)
=
3
(iv)
(
−
3
x
−
5
)
=
2
(v)
(
−
3
x
−
4
)
=
(
−
3
)
Question
21
21.
The L.H.S of the equation
(
−
5
x
−
2
)
=
0
is
(i)
(
−
5
x
+
1
)
(ii)
(
−
5
x
−
2
)
(iii)
(
−
6
x
−
2
)
(iv)
(
−
5
x
−
4
)
(v)
0
Question
22
22.
The ratio between the base angle and the vertical angle of an isosceles triangle is 1 : 1. Find each angle of the triangle
(i)
A
=
62°
,
B
=
60°
,
C
=
58°
(ii)
A
=
60°
,
B
=
58°
,
C
=
62°
(iii)
A
=
58°
,
B
=
60°
,
C
=
62°
(iv)
A
=
58°
,
B
=
62°
,
C
=
60°
(v)
A
=
60°
,
B
=
60°
,
C
=
60°
Question
23
23.
The additive inverse of the expression
4
is
(i)
(
−
4
)
(ii)
(
−
2
)
(iii)
4
(iv)
(
−
7
)
(v)
(
−
5
)
Question
24
24.
Which of the following equations is the same as
(
7
x
+
6
)
=
(
−
3
x
+
8
)
(i)
(
7
x
+
2
)
=
(
−
3
x
+
3
)
(ii)
7
x
=
(
−
3
x
+
3
)
(iii)
(
7
x
+
1
)
=
(
−
3
x
)
(iv)
(
7
x
+
1
)
=
(
−
3
x
+
3
)
(v)
(
7
x
+
1
)
=
(
−
3
x
+
6
)
Question
25
25.
Which of the following equations is not the same as
(
−
8
x
−
7
)
=
(
−
3
x
−
7
)
(i)
(
−
7
x
−
2
)
=
(
−
2
x
−
2
)
(ii)
(
−
5
x
−
5
)
=
(
−
5
)
(iii)
(
−
9
x
−
12
)
=
(
−
2
x
−
2
)
(iv)
(
−
9
x
−
12
)
=
(
−
4
x
−
12
)
(v)
(
−
11
x
−
9
)
=
(
−
6
x
−
9
)
Assignment Key
1) (iv)
2) (i)
3) (iii)
4) (iii)
5) (iii)
6) (iii)
7) (ii)
8) (v)
9) (v)
10) (iv)
11) (v)
12) (v)
13) (ii)
14) (i)
15) (ii)
16) (iv)
17) (v)
18) (iii)
19) (v)
20) (iv)
21) (ii)
22) (v)
23) (i)
24) (iv)
25) (iii)
