RBSE Class 7 Maths Important Questions Chapter 4 Simple Equations

Rajasthan Board RBSE Class 7 Maths Important Questions Chapter 4 Simple Equations Important Questions and Answers.

RBSE Class 7 Maths Chapter 4 Important Questions Simple Equations

Multiple Choice Questions

Question 1.    
If 2x + 3 = 5, then x is:
(a) 2    
(b) 1    
(c) \(\frac{1}{2} \)   
(d) 0
Answer: 
(b) 1

Question 2.    
If 5x - \(\frac{3}{4}\) = 2x, then x is :
(a) \(\frac{1}{4}\)    
(b) \(\frac{3}{4}\)    
(c) \(\frac{1}{2}\)    
(d) 1
Answer: 
(a) \(\frac{1}{4}\)    

Question 3.    
If \(\frac{x}{2}+\frac{3}{4}=\frac{5}{4}\), then x is:
(a) 2    
(b) \(\frac{1}{4}\)    
(c) 1    
(d) 0
Answer: 
(c) 1

Question 4.    
If 4\(\left(\frac{1}{4} x\right)+\frac{1}{4}\) = 2, then x is :
(a) \(\frac{1}{4}    \)
(b) \(\frac{3}{5} \)   
(c) \(\frac{5}{4}\)    
(d) \(\frac{7}{4}\)
Answer: 
(d) \(\frac{7}{4}\)

Question 5.    
If \(\frac{4 x}{5}-\frac{1}{4}=\frac{3 x}{5}\), then x is :
(a) \(\frac{1}{4}\)
(b) \(\frac{3}{5}\)
(c) \(\frac{5}{4}\)
(d) \(\frac{7}{4}\)
Answer: 
(c) \(\frac{5}{4}\)

Question 6.    
If 0.6x + 0.8 = 0.56x + 2.32, then x is :
(a) 28    
(b) 38    
(c) 18    
(d) 48
Answer: 
(b) 38

Question 7.    
The sum of three times a number and 12 is 33, then the number is :
(a) 7    
(b) 6    
(c) 8    
(d) 0
Answer: 
(a) 7    

Question 8.    
If 18x = 72, then what is 10x?
(a) 10    
(b) 40    
(c) 30    
(d) 20
Answer: 
(b) 40

Fill in the Blanks

Question 1.    
The sum of three times x and 11 is 13.
The required equation is _________ .
Answer: 
3x + 11 = 13

Question 2.    
The solution of the equation 4(2 - x) = 4 is _________ .
Answer: 
x = 1

Question 3.    
If you subtract 3 from 6 times a number, you get 9 then the equation is _________ .
Answer: 
6x - 3 = 9

Question 4.    
If 9x - 2 = 25, then x is _________ .
Answer:
3
 
Question 5.    
The number of which one-third is added to 5 gives 8 is _________ .
Answer: 
9

Very Short Answer Type Questions

Question 1. 
Solve the equation: 4x + 5 = 65 
Answer:    
4x + 5 = 65
4x = 65 - 5 
x = \(\frac{60}{4}\) = 15 

Question 2. 
Sum of 14 and three times x is 35. Write in the form of equation.
Answer:    
3x + 14 = 35 

Question 3. 
Sum of 5 and one-third of a number is 8. Write in the form of equation.
Answer:
\(\frac{x}{3}\) + 5 = 8
    
Question 4. 
Write the equation 3x + 7 = 1 in statement form.
Answer:    
On adding 7 to three times a number, we obtain 1.

Short Answer Type Questions 

Question 1. 
A number is 12 more than the other. Find the numbers if their sum is 48.
Answer: 
Let the other number be x.
Then, number is x + 12.
It is given that their sum is 48.
∴ x + x + 12 = 48 
⇒ 2x + 12 = 48 
⇒ 2x = 48 - 12 
⇒ 2x = 36
⇒ x = \(\frac{36}{2}\) 
⇒ x = 18.
∴ Number is x + 12 = 18 + 12 = 30

Question 2. 
The sum of two consecutive even numbers is 38. Find the numbers.
Answer: 
Let the two consecutive even numbers are x and x + 2.
It is given that their sum is 38.
x + x + 2 = 38 
⇒ 2x + 2 = 38
⇒ 2x = 38 - 2 
⇒ 2x = 36
⇒ x = \(\frac{36}{2}\) ⇒ x = 18.
∴ The consecutive even integers are 18 and 18 + 2, i.e. 20.

Question 3. 
Among the two supplementary angles, the measure of the larger angle is 36° more than the measure of smaller. Find their measure.
Answer: 
Let the smaller angle be x.
It is given that the larger is 36° more than the smaller angle, i.e. x + 36°.
But, the sum of supplementary angles is 180°.
∴ x + x + 36° = 180°
⇒ 2x + 36° = 180°
⇒ 2x = 180°- 36°
⇒ 2x = 144°
⇒ x = \(\frac{144^{\circ}}{2}\)
⇒ x = 72°
∴ The smaller angle is 72° and the larger angle = (x + 36)°
= (72° + 36°) = 108°.

Question 4. 
The length of a rectangle is 10 m more than its breadth. If the perimeter of rectangle is 80 m. Find the dimensions of the rectangle.
Answer: 
Let the breadth of the rectangle is 'x' m. Then, length is (x + 10) m.
But, it is given that the perimeter of the rectangle is 80 m.
∴ 2(length + breath) = 80 
⇒ 2(x + x + 10) = 80
⇒ 2(2x + 10) = 80
⇒ 4x + 20 = 80
⇒ 4x = 80 - 20
⇒ 4x = 60
⇒    x = \(\frac{60}{4}\)
⇒ x = 15 m
∴ Breadth of the rectangle = 15 m 
Length of rectangle = x + 10 = 15 + 10 = 25 m