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CBSE Questions for Class 7 Maths Simple Equations Quiz 1 - MCQExams.com
CBSE
Class 7 Maths
Simple Equations
Quiz 1
Solve for
x
:
3
x
+
9
=
33
Report Question
0%
8
0%
3
0%
2
0%
5
Explanation
Given,
3
x
+
9
=
33
Subract 9 on both side
⇒
3
x
+
9
−
9
=
33
−
9
⇒
3
x
=
24
On dividing throughout by
3
, we get
⇒
x
=
24
3
=
8
Hence, required solution is
x
=
8
.
Solve the following equation:
y
+
3
=
10
Report Question
0%
3
0%
7
0%
10
0%
13
Explanation
Given,
y
+
3
=
10
Subtracting
3
on both the sides, we get:
y
+
3
−
3
=
10
−
3
⇒
y
=
7
Hence, option B is correct.
If
t
5
=
10
, then
t
is equal to
Report Question
0%
25
0%
10
0%
50
0%
100
Explanation
Given,
t
5
=
10
To eliminate
5
from the denominator, we multiply both sides by
5
So,
5
×
t
5
=
10
×
5
⇒
t
=
50
I
f
2
x
3
=
18
, then
x
is equal to
Report Question
0%
36
0%
54
0%
32
0%
27
Explanation
Given,
2
x
3
=
18
Multiply
3
on both the sides, we get
2
x
=
18
×
3
⇒
2
x
=
54
Divide both side by 2
⇒
x
=
27
Solve the following equation:
x
−
2
=
7
Report Question
0%
7
0%
2
0%
9
0%
11
Explanation
Given,
x
−
2
=
7
Add
2
on both the sides, we get
x
−
2
+
2
=
7
+
2
⇒
x
=
9
Hence, option C is correct.
If
6
x
=
12
,
then
x
is
Report Question
0%
12
0%
2
0%
72
0%
6
Explanation
Given,
6
x
=
12
Dividing both sides by
6
, we get:
6
x
6
=
12
6
∴
x
=
2
Hence, option B is correct.
When
6
is subtracted from four times a number, the result is
54
. What is the number?
Report Question
0%
60
0%
30
0%
15
0%
10
Explanation
Let the number be
x
.
Then,
4
x
−
6
=
54
Add 6 on both side
⇒
4
x
−
6
+
6
=
54
+
6
=>
4
x
=
60
Divide throughout by 4
⇒
x
=
60
4
=
15
Hence, the required number is
15
.
Solve the following equation:
6
=
z
+
2
Report Question
0%
4
0%
2
0%
6
0%
8
Explanation
Given,
6
=
z
+
2
Subtract
2
on both the sides,
6
−
2
=
z
+
2
−
2
⇒
z
=
4
Hence, option A is correct.
The solution of the equation
7
+
3
(
x
+
5
)
=
31
is
Report Question
0%
4
0%
3
0%
0
0%
2
Explanation
Given,
7
+
3
(
x
+
5
)
=
31
⇒
7
+
3
x
+
15
=
31
⇒
22
+
3
x
=
31
⇒
3
x
=
31
−
22
=
9
⇒
x
=
9
3
=
3
.
Hence, required solution is
x
=
3
.
If
7
x
−
9
=
16
, then
x
is equal to:
Report Question
0%
x
=
16
2
0%
x
=
7
7
0%
x
=
25
7
0%
x
=
2
16
Explanation
Given,
7
x
−
9
=
16
Add
9
on both the sides, we get
7
x
−
9
+
9
=
16
+
9
∴
7
x
=
25
Divide
7
on both the sides,
∴
x
=
25
7
Therefore, C is the correct answer.
Find the value of
x
:
x
−
7
=
−
8
Report Question
0%
1
0%
−
1
0%
0
0%
None of the above
Explanation
x
−
7
=
−
8
Add
7
to both sides,
⟹
x
−
7
+
7
=
−
8
+
7
⟹
x
=
−
8
+
7
⟹
x
=
−
1
Hence, answer is option
B
.
The mean of
x
,
x
+
3
,
x
+
6
,
x
+
9
and
x
+
12
is
Report Question
0%
x
+
6
0%
x
+
3
0%
x
+
9
0%
x
+
12
Explanation
By definition,
Average
=
x
+
(
x
+
3
)
+
(
x
+
6
)
+
(
x
+
9
)
+
(
x
+
12
)
5
=
5
x
+
30
5
=
x
+
6
The arithmetic mean of 6,10, x and 12 is 8 The value of x is
Report Question
0%
3
0%
4
0%
5
0%
6
Explanation
A
rithmetic
Mean
=
S
u
m
o
f
t
h
e
t
e
r
m
s
T
o
t
a
l
n
u
m
b
e
r
o
f
t
e
r
m
s
⇒
8
=
6
+
10
+
x
+
12
4
⇒
32
=
6
+
10
+
x
+
12
⇒
x
=
32
−
28
⇒
x
=
4
Frame the statement
into an equation:
Adding
16
to
3
times
x
is
39
.
Report Question
0%
3
x
−
16
=
39
0%
3
x
+
16
=
−
39
0%
−
3
x
+
16
=
39
0%
3
x
+
16
=
39
Explanation
3
×
x
=
3
x
As per the given condition,
Adding
16
to
3
x
results in
16
+
3
x
=
39
So, option
D
is correct.
The method of finding solution by trying out various values for the variable is called
Report Question
0%
Rrror method
0%
Trial and error method
0%
Testing method
0%
Checking method
Explanation
The required method is called "Trial and error method"
Sunita's mother is 36 years old. She is 3 years older than 3 times sunita's age. What is sunita's age?
Report Question
0%
6
0%
7
0%
8
0%
11
0%
14
Explanation
We do not know sunita’s age.
Let us take it to be
y
years.
.
Sunita’s mother’s age is 3years older than
3
y
;
It is also given that Sunita’s mother is 36 years old.
Therefore,
3
y
+
3
=
36
Subract
3
from both side
3
y
+
3
−
3
=
36
−
3
3
y
=
33
Divide both side by 3
y
=
11
Convert the statement
into an equation :
Adding
14
to
9
times
y
is
89
.
Report Question
0%
14
y
+
9
=
89
0%
14
+
9
y
=
89
0%
14
−
9
y
=
−
89
0%
14
+
y
=
89
Explanation
According to the question,
9
times
y
means
9
×
y
=
9
y
.
Adding
14
to it means
9
y
+
14
.
∴
the equation is
9
y
+
14
=
89
.
Algebraic expression for the statement:
6
times
a
taken away from
40
Report Question
0%
6
a
−
40
0%
40
a
−
6
0%
40
−
6
a
0%
0
Explanation
Given,
6
times
a
takes away from
40
.
Required algebraic equation is given by,
40
−
6
×
a
=
40
−
6
a
Which of the sign should always be there in an equation?
Report Question
0%
=
0%
≠
0%
>
0%
<
Explanation
An equation is a mathematical statement that two things are equal. It consists of two expressions, one on each side of an 'equals' sign. For example
x
=
y
is an equation where two expressions
x
and
y
are equal.
Hence,
=
sign should always be there in an equation.
Frame the statement "Twice a number decreased by
119
equals
373
" into an equation.
Report Question
0%
2
y
+
119
=
373
0%
3
y
−
119
=
373
0%
2
y
−
119
=
373
0%
None of the above.
Explanation
Let
y
be the number.
According to the question,
Twice a number
y
, decreased by
119
means
2
y
−
119
=
373
.
So, option
C
is correct.
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