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

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 

(i) x+3 =0 
    x = -3
(ii) x - 7 = 1
    x = 8
(iiI) p/2 = 3
     p = 6
Transposing 3 to the R.H.S. gives the value of m.

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

To solve this problem, we need to calculate the total number of coconuts produced by the trees and then find the value of xxx such that the average yield per tree per year is 100 coconuts.

Step 1: Set up the equation for total coconuts

• The number of trees yielding 60 coconuts per year is (x+2)
• The number of trees yielding 120 coconuts per year is x.
• The number of trees yielding 180 coconuts per year is (x−2)

The total yield from all the trees is:

Total yield = 60(x+2) + 120x + 180(x−2)

Let the number be x.
Then according to the problem, 

5(x + 4) - 20 = 10x8
5(x+4) -20 = 80
5(x+4) = 100
x+4 = 20
x = 16

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

Solution :

Let the present ages of A and B be 2x years and x years.
After 30 years, their ages will be
A = (2x+30) years 
B = (x+30)  years So, 2x+30

Present age of B = 30 years ⇒  Present age of  A = 2×30 = 60  years

Let the total distance be = x

Distance travelled by train = 5/8 of x

Distance travelled by bus = 1/4 of x

Distance travelled by boat = 15 km

Therefore, total distance = 120 km.

Let the value of the first prize be x.
Value of second prize =
Value of third prize =
The total cost of three prizes =Rs.2550

Answer : Rs.1200

The equation among the options is:

1. 4x + 5 = 65

This is because an equation is a statement that two expressions are equal, and it uses the equals sign (=). The other options use inequality signs (<, >, ≠), which represent inequalities rather than equations.

- 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."

Equation Setup:

- Let Vinay's age be represented by x.
- Vinay's father's age is 44 years old.
- Vinay's father is 5 years older than thrice Vinay's age.

Equation:

- The equation representing Vinay's father's age is: 3x + 5 = 44

Explanation:

- The equation 3x + 5 = 44 represents Vinay's father's age being 5 years older than thrice Vinay's age.
- By solving this equation, we can find Vinay's age and then calculate Vinay's father's age based on the relationship provided in the question.

The equation is 4x=60. To find x, we divide both sides by 4: x=60/4.  Therefore, the solution of 4x=60 is x=15. This statement (a) is false