Important Questions: Simple Equations - Class 7 MCQ

Begin with the equation: m⁄5 + 20 = 45

Subtract 20 from both sides to get: m⁄5 = 25

Multiply both sides by 5 to find: m = 125

The value of m is 125, which corresponds to option 1.

0.2 ( 2x - 1 ) - 0.5 ( 3x - 1 ) = 0.4
0.4x - 0.2 - 1.5x + 0.5 = 0.4
( 0.4 - 1.5 ) x - 0.2 + 0.5 = 0.4
-1.1x + 0.3 = 0.4
-1.1x = 0.4 - 0.3
-1.1x = 0.1

Multiply Both Sides by 10 .
-1.1x × 10 = 0.1 × 10
-11x = 1
x = - 1/11 

the equation m/5 = 4 means m divided by  5 gives 4. 

If we write this , it'll be one fifth of m is 4 or the fifth part of m is 4.

Correct answer is A. 6
m = 3*2
m = 6.

The correct answer is option B
Given  x = 2:

3x - 4= 2

Putting x = 2;

⇒ (3 x 2)  - 4 = 2

Let one number  = x
other number      = 2x-3 
(x+2x−3)+7=37
3x = 33
x = 11
∴ The two number are 11 and 19

Let Riya has x marbles. 

5x + 9 = 54

5x = 45

x = 9

Let Rohit's age be x 

3x - 5 = 55

3x = 60

x = 20

Let Riya has x candies 

2x + 8 = 30

2x = 22

x = 11

Let Sneha's age be x 

4x + 8 = 52

4x = 52 - 8

4x = 44

x = 11

Let number be x 
Five times a number = 5x 
ATQ equation becomes
5x = 50-6 

The statement "The sum of 3x and 11 is 32" means adding 3x and 11 gives 32.
This is written as: 3x+11=32

- Option A: Incorrect. This states "One-fourth of 10 is m," which is not accurate.
- Option B: Incorrect. It says "One-fourth of m is 3 more than 3," which is not relevant to the equation.
- Option C: Correct. This option correctly states "One-fourth of m is 10," aligning with the equation.
- Option D: Incorrect. It mentions "Four times m is 10," which is a different equation.
- Option E: Irrelevant.
Therefore, the correct answer is Option C: "One-fourth of m is 10."

- Vinay's father's age is given as 44 years.
- He is described as being 5 years older than thrice Vinay's age.
- Let Vinay's age be ( x ).
- Thrice Vinay's age is ( 3x ).
- Five years older than thrice Vinay's age is ( 3x + 5 ).
- Therefore, the equation is ( 3x + 5 = 44 ).
- Simplifying ( 3x + 5 = 44 ) to find ( x ) correctly describes the relationship.
- Thus, option A, ( 3x + 5 = 44 ), is correct.

The equation 4x = 60 can be solved by dividing both sides by 4. This gives x = 15, not 12. Thus, statement A is false.
For statement B, the equation y' = 7 indicates that the derivative of y is 7, which holds true if y is a linear function.
In statement C, substituting p = 5/2 into the equation 12p - 25 = 25 confirms that it holds true.
For statement D, substituting m = 3/2 into 4(m + 3) = 18 also confirms it is true.
Therefore, the incorrect statement is A.