# Linear Equations In One Variable – Chapter 2/ MCQ

**CBSE CLASS 8 MATHEMATICS**

**Linear Equations In One Variable – Chapter2/ MCQ**

**Multiple Choice Questions**

**Choose the correct answer from the options given below:**

**1. If half of a number added to 25 is 100, then the number is —————–**

A. 150

B. 75

C. 100

**2. Find the solution of 3x – 7 = 20.**

A. 9

B. 10

C. 11

**3. The solution of the equation 3y – 8 = 13 is ———-**

A. 4

B. 7

C. 9

**4. Which of the following is not a linear equation?**

A. 2x = 64

B. x+ 45

C. 5x – 35 = 0

**5. The sum of a number and its twice is 300. What is the number?**

A. 50

B. 100

C. 150

**6. Aman’s age is three times his son’s age. Ten years ago he was five times his son’s age. What is the present age of Aman?**

A.6 years

B. 16 years

C. 60 years

**7. Solve 2x-1 = 14-x.**

A.5

B. 6

C. 7

**8. The solution of the equation 6x =0 is —————**

A. 0

B. 1

C. 6

**9. The value of x for which the expressions 2x -5 and 3(x-5) become equal is ————–**

A. 5

B. 10

C. 15

**10. Make an algebraic expression for the following statement:**

**11 is subtracted from twice the number x.**

A. x – 11

B. 11 – 2x

C. 2x – 11.

ANSWERS:

**1. 150**

**[Explanation: Let the number be x.**

**Given x/2 + 25 = 100**

**x/2 = 100 – 25 = 75**

**x = 75 x 2 = 150]**

**2. 9**

**[Explanation: 3x – 7 = 20**

**3x = 20 +7 = 27**

**x = 27/3 =9]**

**3. 7**

**[Explanation: 3y – 8 = 13**

**3y = 13 + 8 = 21**

**y = 21/3 = 7]**

**4. x + 45**

**5. 100**

**[Explanation: Let the number be x.**

**Give x + 2x = 300**

**3x = 300**

**x = 300/3 = 100]**

**6. 60 years**

**[Explanation: Let age of son = x years**

**Aman’s age = 3x**

**Ten years ago Aman’s age = 3x – 10**

**Ten years ago Aman’s son’s age = x – 10**

**Given 3x -10 = 5(x – 10)**

**3x – 10 = 5x – 50**

**3x – 5x = -50 + 10**

**-2x = -40**

**x = -40/-2 = 20 years**

**Aman’s age = 3x = 60 years.]**

**7. 5**

**[Explanation: 2x -1 = 14 – x**

**2x +x = 14 +1**

**3x = 15**

**x = 15/3 = 5]**

**8. 0**

**9. 10**

**[Explanation: 2x – 5 = 3(x -5)**

**2x – 5 = 3x – 15**

**2x – 3x = -15 + 5**

**-x = -10**

**x = 10]**

**10. 2x – 11.**