Linear Equations in One Variable – Class 8/ Worksheets

Chapter 2 of CBSE/NCERT Class 8 Mathematics is about Linear equations in one variable. Here in this lesson you can find out practice problems for this chapter.

CBSE CLASS 8 MATHEMATICS
Linear Equations in One Variable – Chapter 2 / Worksheets
Fill in the blanks:

1. The solution of the equation 2x – 1 = 3 is ————–
2. The solution of 2y = 14 is ————
3. A linear equation in one variable has ———– solution.
4. 5 is added to thrice a number x gives 20. The value of x is ——————-
5. If 2 is subtracted from a number, it becomes -8.This statement in the form of an equation is ————–
   Answer the following:
6. Find the solution of the equation: 2x + 5 = 25
7. The perimeter of a rectangle is 12 cm and its width is 2 m, find its length?
8. Solve the equation 2x + 5 = x – 3
9. Three consecutive integers add up to 45. Find the integers?
10. The difference between two whole numbers is 24. The ratio of the two numbers is 5:1. Find the two numbers?

ANSWERS:

1. 2
2. 7
3. Only one solution
4. 5
5. x – 2 = -8
6. 2x + 5 = 25
   2x = 25 – 5 = 20
   x = 20/2 = 10.
7. Assume the length of the rectangle to be x cm
   The perimeter of the rectangle = 2 x (length + breadth)
   12 = 2 (x + 2)
   12 = 2x + 4
   12 – 4 = 2x
   8 = 2x
   x = 8/2 = 4 cm
8. 2x + 5 = x – 3
   2x – x = (-3) + (-5)
   x = -8
9. Let the three consecutive integers be x, x+1, x+2.
   Given x + (x +1) + (x + 2) = 45
   3x + 3 = 45
   3x = 45 – 3 = 42
   x = 42/3 = 14
   x + 1 = 14 + 1 = 15
   x + 2 = 14 + 2 = 16
   So the three consecutive integers are 14, 15, 16.
10. Let the two numbers be 5x and x.
    Given 5x – x = 24
    4x = 24
    x = 24/4 = 6. So the two numbers are 30 and 6.