# Linear Equations In One Variable – Class 8/Maths.

Chapter 2 of NCERT/CBSE Class 8 Maths is about Linear Equations in One Variable. Here in this chapter you can find practice problems for this chapter.

CBSE CLASS 8 MATHEMATICS/Model Questions
Linear Equations in One Variable – Chapter 2
Choose the correct answer from the options given below:

1. Which of the following is a linear equation in one variable?
A. 2x
B. 3y -7z
C. x + y + z
2. The solution of the equation 2x – 3 = 7 is ———
A. 3
B. 5
C. 7
3. Solve the equation: 3x = 12
A. 3
B. 4
C. 5
4. Which of the following is an equation?
A. 3x + y
B. y + 3 = 10
C. 3xyz
5. The highest power of a variable in a linear equation is ——-
A. 0
B. 1
C. 2
6. Solve the equation: 5x – 9 = 16
7. The perimeter of a rectangle is 16 cm and its width is 3cm. Find its length?
8. Check whether the linear equation 17 + 6p= 5 is true for p = -2.
9. The sum of two numbers is 26 and their difference is 14. Find the two numbers?
10. Convert the following statements into equations and solve?
a) Subtract 5 from seven times a number x gives 16.
b) Twice a number x added to 5 gives 25.

1. 2x
2. 5
3. 4
4. y + 3 = 10
5. 1
6. 5x – 9 = 16
5x = 16 + 9
5x = 25
x = 25/5 = 5.
7. Given perimeter = 16 cm and width = 3 cm.
Let the length of the rectangle be x.
Then we know that perimeter = 2 (length + breadth)
Therefore, 16 = 2(x + 3)
16/2 = x + 3
8 = x + 3
x = 8 – 3 = 5
8. LHS = 17 + 6p
Substitute p = -2, 17 + 6 (-2) = 17 + (-12) = 5 = RHS.
9. Let one number be x.
Other number = 26 – x
Given difference of these numbers is 14.
ie, x – ( 26 – x) = 14
x – 26 + x = 14
2x = 14 + 26 = 40
x = 40/2 = 20.
10. a) 7x – 5 = 16
7x = 16 + 5 = 21
x = 21/7 = 3
b) 2x + 5 = 25
2x = 25 – 5 = 20
x = 20/2 = 10.