EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Simple Equations
Grade : CBSE Grade VII
License : Non Commercial Use
Question
1
1.
The L.H.S of the equation
(
−
6
x
+
1
)
=
0
is
(i)
0
(ii)
(
−
6
x
+
3
)
(iii)
(
−
6
x
+
1
)
(iv)
(
−
7
x
+
1
)
(v)
(
−
6
x
−
2
)
Question
2
2.
Which of the following equations is not the same as
(
−
9
x
−
5
)
=
0
(i)
(
−
18
x
−
7
)
=
(
−
9
x
−
2
)
(ii)
(
−
14
x
−
7
)
=
(
−
5
x
−
2
)
(iii)
(
−
18
x
−
7
)
=
(
9
x
+
2
)
(iv)
(
−
4
x
−
3
)
=
(
5
x
+
2
)
(v)
(
−
3
)
=
(
9
x
+
2
)
Question
3
3.
Which of the following equations is the same as
(
−
7
x
+
4
)
=
(
7
x
−
3
)
(i)
(
−
8
x
+
4
)
=
(
8
x
−
3
)
(ii)
(
−
6
x
+
1
)
=
6
x
(iii)
(
−
8
x
+
7
)
=
(
8
x
−
6
)
(iv)
(
−
6
x
+
1
)
=
(
8
x
−
6
)
(v)
(
−
6
x
+
4
)
=
(
6
x
−
3
)
Question
4
4.
Which of the following equations is the same as
(
−
9
x
−
5
)
=
(
−
6
x
−
3
)
(i)
(
−
9
x
−
8
)
=
(
−
6
x
−
4
)
(ii)
(
−
9
x
−
6
)
=
(
−
6
x
−
4
)
(iii)
(
−
9
x
−
6
)
=
(
−
6
x
)
(iv)
(
−
9
x
−
6
)
=
(
−
6
x
−
8
)
(v)
(
−
9
x
−
4
)
=
(
−
6
x
−
4
)
Question
5
5.
Solve the equation
(
x
−
7
)
=
0
(i)
4
(ii)
10
(iii)
6
(iv)
8
(v)
7
Question
6
6.
Which of the following equations is not the same as
(
−
2
x
−
8
)
=
(
−
4
x
−
5
)
(i)
(
−
2
x
−
10
)
=
(
−
4
x
−
7
)
(ii)
(
−
2
x
−
4
)
=
(
−
4
x
−
9
)
(iii)
(
−
2
x
−
5
)
=
(
−
4
x
−
2
)
(iv)
(
−
2
x
−
6
)
=
(
−
4
x
−
3
)
(v)
(
−
2
x
−
11
)
=
(
−
4
x
−
8
)
Question
7
7.
Which of the following equations is the same as
(
x
−
3
)
=
(
2
x
−
2
)
(i)
(
x
+
2
)
=
(
2
x
+
5
)
(ii)
(
x
+
5
)
=
(
2
x
+
3
)
(iii)
(
x
+
2
)
=
(
2
x
+
3
)
(iv)
(
x
+
2
)
=
(
2
x
+
1
)
(v)
(
x
−
1
)
=
(
2
x
+
3
)
Question
8
8.
The R.H.S of the equation
(
2
x
−
2
)
=
0
is
(i)
2
(ii)
(
−
2
)
(iii)
0
(iv)
(
2
x
−
2
)
(v)
(
−
1
)
Question
9
9.
Solve the equation
(
9
4
x
−
3
8
)
=
(
−
4
5
)
(i)
(
-17
88
)
(ii)
(
-1
6
)
(iii)
(
-17
90
)
(iv)
(
-17
92
)
(v)
(
-19
90
)
Question
10
10.
The L.H.S of the equation
(
5
x
−
5
)
=
(
2
x
−
8
)
is
(i)
(
5
x
−
2
)
(ii)
(
2
x
−
8
)
(iii)
(
5
x
−
8
)
(iv)
(
5
x
−
5
)
(v)
(
4
x
−
5
)
Question
11
11.
In a right-angled triangle if one of the acute angles is 47°, find the measure of the other acute angle.
(i)
43°
(ii)
45°
(iii)
41°
(iv)
42°
(v)
44°
Question
12
12.
In the given figure, △CDE in which side DE has been produced to F. If ∠ECD = x° , ∠CDE = (4/15a)° , ∠DEC = (1/3a)° and ∠CEF = (13/15a)°, find the values of a and x.
(i)
a
=
148°
,
x
=
88°
(ii)
a
=
152°
,
x
=
92°
(iii)
a
=
149°
,
x
=
89°
(iv)
a
=
151°
,
x
=
91°
(v)
a
=
150°
,
x
=
90°
Question
13
13.
Solve the equation
x
=
(
−
7
)
(i)
-8
(ii)
-10
(iii)
-6
(iv)
-5
(v)
-7
Question
14
14.
Which of the following equations is not the same as
(
−
8
x
+
3
)
=
0
(i)
(
16
x
−
6
)
=
0
(ii)
(
8
x
−
3
)
=
0
(iii)
(
−
16
x
+
6
)
=
0
(iv)
(
24
x
−
9
)
=
0
(v)
(
32
x
−
12
)
=
(
−
4
)
Question
15
15.
Which of the following equations is the same as
(
6
x
−
2
)
=
(
−
3
)
(i)
(
6
x
−
7
)
=
(
−
8
)
(ii)
(
6
x
−
7
)
=
(
−
6
)
(iii)
(
6
x
−
10
)
=
(
−
8
)
(iv)
(
6
x
−
4
)
=
(
−
8
)
(v)
(
6
x
−
7
)
=
(
−
10
)
Question
16
16.
Solve the equation
(
8
3
x
+
7
4
)
=
0
(i)
(
-19
32
)
(ii)
(
-7
10
)
(iii)
(
-23
32
)
(iv)
(
-21
34
)
(v)
(
-21
32
)
Question
17
17.
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
=
118°
,
B
=
32°
,
C
=
30°
(iii)
A
=
120°
,
B
=
30°
,
C
=
30°
(iv)
A
=
118°
,
B
=
30°
,
C
=
32°
(v)
A
=
120°
,
B
=
28°
,
C
=
32°
Question
18
18.
Which of the following equations is the same as
(
−
2
x
−
9
)
=
(
5
x
−
6
)
(i)
(
2
x
+
9
)
=
(
−
5
x
+
9
)
(ii)
(
2
x
+
5
)
=
(
−
5
x
+
6
)
(iii)
(
2
x
+
9
)
=
(
−
5
x
+
6
)
(iv)
(
2
x
+
9
)
=
(
−
5
x
+
3
)
(v)
(
2
x
+
13
)
=
(
−
5
x
+
6
)
Question
19
19.
Which of the following equations is the same as
(
8
x
+
4
)
=
0
(i)
(
8
x
−
1
)
=
(
−
7
)
(ii)
(
8
x
−
1
)
=
(
−
3
)
(iii)
8
x
=
(
−
5
)
(iv)
(
8
x
−
1
)
=
(
−
5
)
(v)
(
8
x
−
2
)
=
(
−
5
)
Question
20
20.
Which of the following equations is not the same as
(
−
x
+
2
)
=
(
5
x
+
1
)
(i)
(
−
5
x
+
10
)
=
(
25
x
+
5
)
(ii)
(
2
x
−
4
)
=
(
−
10
x
−
2
)
(iii)
(
x
−
2
)
=
5
x
(iv)
(
−
2
x
+
4
)
=
(
10
x
+
2
)
(v)
(
5
x
−
10
)
=
(
−
25
x
−
5
)
Question
21
21.
Which of the following equations is equivalent to
(
4
x
−
7
)
=
(
6
x
+
5
)
(i)
(
−
2
x
)
=
14
(ii)
(
−
2
x
)
=
16
(iii)
(
−
2
x
)
=
8
(iv)
(
−
2
x
)
=
10
(v)
(
−
2
x
)
=
12
Question
22
22.
The ratio between the base angle and the vertical angle of an isosceles triangle is 13 : 10. Find each angle of the triangle
(i)
A
=
50°
,
B
=
65°
,
C
=
65°
(ii)
A
=
50°
,
B
=
63°
,
C
=
67°
(iii)
A
=
48°
,
B
=
67°
,
C
=
65°
(iv)
A
=
52°
,
B
=
65°
,
C
=
63°
(v)
A
=
48°
,
B
=
65°
,
C
=
67°
Question
23
23.
The L.H.S of the equation
(
−
8
x
−
5
)
=
0
is
(i)
(
−
8
x
−
5
)
(ii)
0
(iii)
(
−
8
x
−
3
)
(iv)
(
−
9
x
−
5
)
(v)
(
−
8
x
−
7
)
Question
24
24.
Which of the following equations is not the same as
(
8
x
+
4
)
=
(
−
x
−
1
)
(i)
(
−
x
)
=
(
−
10
x
−
5
)
(ii)
(
17
x
+
8
)
=
(
8
x
+
3
)
(iii)
(
6
x
+
3
)
=
(
−
3
x
−
2
)
(iv)
(
17
x
+
8
)
=
(
−
10
x
−
5
)
(v)
(
10
x
+
5
)
=
x
Question
25
25.
Which of the following equations is the same as
(
−
3
x
−
3
)
=
0
(i)
(
−
9
x
−
7
)
=
0
(ii)
(
−
9
x
−
9
)
=
(
−
1
)
(iii)
(
−
9
x
−
11
)
=
0
(iv)
(
−
9
x
−
9
)
=
1
(v)
(
−
9
x
−
9
)
=
0
Assignment Key
1) (iii)
2) (iii)
3) (iv)
4) (ii)
5) (v)
6) (ii)
7) (iii)
8) (iii)
9) (iii)
10) (iv)
11) (i)
12) (v)
13) (v)
14) (v)
15) (i)
16) (v)
17) (iii)
18) (iii)
19) (iv)
20) (iii)
21) (v)
22) (i)
23) (i)
24) (iv)
25) (v)