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
(
2
x
−
8
)
=
0
(i)
(
11
x
−
15
)
=
(
−
9
x
+
7
)
(ii)
11
x
=
(
9
x
+
8
)
(iii)
(
−
7
x
−
1
)
=
(
9
x
−
7
)
(iv)
(
−
7
x
−
16
)
=
(
9
x
+
8
)
(v)
11
x
=
(
−
9
x
−
8
)
Question
2
2.
Solve the equation
9
x
=
3
(i)
1
5
(ii)
1
(iii)
1
3
(iv)
(
-1
3
)
Question
3
3.
In the given figure, △BCD in which side CD has been produced to E. If ∠DBC = x° , ∠BCD = (2/3a)° , ∠CDB = (1a)° and ∠BDE = (2a)°, find the values of a and x.
(i)
a
=
61°
,
x
=
81°
(ii)
a
=
59°
,
x
=
79°
(iii)
a
=
60°
,
x
=
80°
(iv)
a
=
62°
,
x
=
82°
(v)
a
=
58°
,
x
=
78°
Question
4
4.
Solve the equation
(
2
x
−
8
)
=
9
(i)
15
2
(ii)
33
4
(iii)
17
2
(iv)
9
(v)
19
2
Question
5
5.
Solve the equation
(
−
7
x
+
4
)
=
(
5
x
−
9
)
(i)
11
10
(ii)
11
12
(iii)
13
12
(iv)
5
4
(v)
15
14
Question
6
6.
Which of the following equations is not the same as
(
−
x
−
6
)
=
(
−
6
x
−
9
)
(i)
(
−
5
x
−
30
)
=
(
−
30
x
−
45
)
(ii)
(
−
4
x
−
24
)
=
(
−
6
x
−
5
)
(iii)
(
−
3
x
−
18
)
=
(
−
18
x
−
27
)
(iv)
(
3
x
+
18
)
=
(
18
x
+
27
)
(v)
(
2
x
+
12
)
=
(
12
x
+
18
)
Question
7
7.
Which of the following equations is not the same as
(
−
4
x
−
4
)
=
3
(i)
(
−
8
x
−
8
)
=
6
(ii)
(
8
x
+
8
)
=
(
−
6
)
(iii)
(
12
x
+
12
)
=
0
(iv)
(
−
12
x
−
12
)
=
9
(v)
(
20
x
+
20
)
=
(
−
15
)
Question
8
8.
In a right-angled triangle if one of the acute angles is 56°, find the measure of the other acute angle.
(i)
34°
(ii)
33°
(iii)
36°
(iv)
35°
(v)
32°
Question
9
9.
Which of the following equations is equivalent to
(
5
x
+
6
)
=
(
−
1
)
(i)
5
x
=
(
−
7
)
(ii)
5
x
=
(
−
8
)
(iii)
5
x
=
(
−
6
)
Question
10
10.
Solve the equation
(
−
9
x
+
1
)
=
0
(i)
1
9
(ii)
1
3
(iii)
1
7
(iv)
(
-1
9
)
(v)
1
11
Question
11
11.
Which of the following equations is the same as
(
4
x
−
3
)
=
2
(i)
(
−
20
x
+
15
)
=
(
−
10
)
(ii)
(
−
20
x
+
17
)
=
(
−
10
)
(iii)
(
−
20
x
+
15
)
=
(
−
9
)
(iv)
(
−
20
x
+
13
)
=
(
−
10
)
(v)
(
−
20
x
+
15
)
=
(
−
11
)
Question
12
12.
In △ABC, if ∠A = 64° and ∠B = 63°, find the measure of ∠C
(i)
C
=
53°
(ii)
C
=
54°
(iii)
C
=
55°
(iv)
C
=
51°
(v)
C
=
52°
Question
13
13.
Find the unknown angle in the following figure
(i)
x
=
61.02°
(ii)
x
=
62.02°
(iii)
x
=
65.02°
(iv)
x
=
64.02°
(v)
x
=
63.02°
Question
14
14.
Which of the following equations is not the same as
(
7
x
+
5
)
=
(
−
6
x
+
9
)
(i)
7
x
=
(
−
6
x
+
4
)
(ii)
(
7
x
+
1
)
=
(
−
6
x
+
13
)
(iii)
(
7
x
+
10
)
=
(
−
6
x
+
14
)
(iv)
(
7
x
+
8
)
=
(
−
6
x
+
12
)
(v)
(
7
x
+
2
)
=
(
−
6
x
+
6
)
Question
15
15.
In an isosceles triangle, each base angle is four times its vertical angle. Find each angle of the triangle.
(i)
A
=
20°
,
B
=
78°
,
C
=
82°
(ii)
A
=
22°
,
B
=
80°
,
C
=
78°
(iii)
A
=
20°
,
B
=
80°
,
C
=
80°
(iv)
A
=
18°
,
B
=
80°
,
C
=
82°
(v)
A
=
18°
,
B
=
82°
,
C
=
80°
Question
16
16.
Which of the following equations is equivalent to
(
6
x
+
7
)
=
(
−
4
x
−
1
)
(i)
10
x
=
(
−
10
)
(ii)
10
x
=
(
−
9
)
(iii)
10
x
=
(
−
8
)
(iv)
10
x
=
(
−
6
)
(v)
10
x
=
(
−
7
)
Question
17
17.
The additive inverse of the expression
(
2
x
+
9
)
is
(i)
(
2
x
+
9
)
(ii)
(
−
2
x
−
9
)
(iii)
(
−
3
x
−
9
)
(iv)
(
−
2
x
−
7
)
(v)
(
−
2
x
−
12
)
Question
18
18.
The vertical angle of an isosceles triangle is twice the sum of its base angles. Find each angle of the triangle.
(i)
A
=
122°
,
B
=
30°
,
C
=
28°
(ii)
A
=
120°
,
B
=
28°
,
C
=
32°
(iii)
A
=
120°
,
B
=
30°
,
C
=
30°
(iv)
A
=
118°
,
B
=
30°
,
C
=
32°
(v)
A
=
118°
,
B
=
32°
,
C
=
30°
Question
19
19.
Which of the following equations is the same as
(
9
x
−
7
)
=
x
(i)
(
9
x
−
6
)
=
(
x
+
6
)
(ii)
(
9
x
−
4
)
=
(
x
+
1
)
(iii)
(
9
x
−
6
)
=
(
x
+
1
)
(iv)
(
9
x
−
6
)
=
(
x
−
4
)
(v)
(
9
x
−
8
)
=
(
x
+
1
)
Question
20
20.
Which of the following equations is not equivalent to
(
3
x
+
6
)
=
2
(i)
(
−
9
x
)
=
12
(ii)
(
−
6
x
)
=
8
(iii)
3
x
=
(
−
3
)
(iv)
6
x
=
(
−
8
)
(v)
(
−
3
x
)
=
4
Question
21
21.
Which of the following equations is not the same as
(
−
5
x
−
3
)
=
(
8
x
−
3
)
(i)
(
−
5
x
+
2
)
=
(
8
x
+
2
)
(ii)
(
−
5
x
+
1
)
=
(
8
x
−
7
)
(iii)
(
−
5
x
−
5
)
=
(
8
x
−
5
)
(iv)
(
−
5
x
−
8
)
=
(
8
x
−
8
)
(v)
(
−
5
x
−
1
)
=
(
8
x
−
1
)
Question
22
22.
Which of the following equations is the same as
(
−
6
x
−
9
)
=
8
(i)
(
−
6
x
−
6
)
=
6
(ii)
(
−
6
x
−
6
)
=
11
(iii)
(
−
6
x
−
6
)
=
16
(iv)
(
−
6
x
−
8
)
=
11
(v)
(
−
6
x
−
4
)
=
11
Question
23
23.
If all the three angles of a triangle are of the same measure, find the measure of each of the angles.
(i)
62°
(ii)
60°
(iii)
58°
(iv)
59°
(v)
61°
Question
24
24.
Which of the following equations is the same as
(
5
x
+
4
)
=
(
−
3
x
+
8
)
(i)
(
5
x
+
2
)
=
(
−
3
x
+
6
)
(ii)
(
5
x
+
3
)
=
(
−
3
x
+
6
)
(iii)
(
5
x
+
1
)
=
(
−
3
x
+
6
)
(iv)
(
5
x
+
2
)
=
(
−
3
x
+
1
)
(v)
(
5
x
+
2
)
=
(
−
3
x
+
11
)
Question
25
25.
Two angles of a triangle measure 67° and 57° respectively. Find the measure of the third angle of the triangle
(i)
55°
(ii)
58°
(iii)
57°
(iv)
54°
(v)
56°
Assignment Key
1) (ii)
2) (iii)
3) (iii)
4) (iii)
5) (iii)
6) (ii)
7) (iii)
8) (i)
9) (i)
10) (i)
11) (i)
12) (i)
13) (v)
14) (ii)
15) (iii)
16) (iii)
17) (ii)
18) (iii)
19) (iii)
20) (iii)
21) (ii)
22) (ii)
23) (ii)
24) (i)
25) (v)
