Solved Problems from Simple Linear Equation (VII CBSE)

Find the Value of Unknown using Simple Equation

Question 1: Check whether the value given for x in these questions is a solution to the given equation:

a) 5x + 2 = 12; x = 2 _____________

b) -3 = -x; x = -3 _____________

c) 4x + 3 = -17; x = 3 _____________

d) -3 = 5-3x; x = 3 _____________

Problem 2

Question 2: Mr. Agarwal is 7 times old as his son.  After 10 years, he will be three times as old as his son.  What are the ages of Mr. Agarwal and his son?

Problem 3

Question 3: One number is three times another number.  When the larger number is subtracted from 60, it is 5 less than the smaller number subtracted from 55.  Find the two numbers.

Problem 4

Question 4: Solve for x and then check by substitution.

a)  -5x + 5 = -x + 4

b) 4x - 3 = -3x + 3

Problem 5

Question 5:  If one-third of a number exceeds its one-fourth by 1, find the number.

Problem 6

Question 6:  Seven times a number is 12 less than thirteen times the same number.  Find the number.

Problem 7

Question 7:  The length of a triangle is twice its breadth.  If its perimeter is 18 cm, find its breadth and width.