CBSE Class 8  >  Class 8 Notes  >  Mathematics (Maths)   >  MCQ (with Solutions): Linear Equations in One Variable

MCQ (with Solutions): Linear Equations in One Variable

1: In the equation x/4 + 5/2 = 3/4, transposing 5/2 to RHS, we get:

(i)MCQ (with Solutions): Linear Equations in One Variable
(ii)MCQ (with Solutions): Linear Equations in One Variable

(iii) MCQ (with Solutions): Linear Equations in One Variable
(iv) none of these

2: In the equation 3x = 4 - x , transposing (-x) to LHS, we get: 

(i) 3x - x = 4
(ii) 3x + x = 4
(iii) -3x + x = 4
(iv) -3x - x = 4

3:MCQ (with Solutions): Linear Equations in One Variable then which of the following correct?

(i) MCQ (with Solutions): Linear Equations in One Variable
(ii) MCQ (with Solutions): Linear Equations in One Variable
(iii) MCQ (with Solutions): Linear Equations in One Variable
(iv) none of these

4: If 7x + 15 = 50, then which of the following is the root of the equation?

(i) -5
(ii) 65/7
(iii) 5

(iv) 1/5

5: If MCQ (with Solutions): Linear Equations in One Variable then which of the following is the value of x?

(i) 10
(ii) -10

(iii) -8/5
(iv) 8/5

6: In the sum of two consecutive numbers is 71 and one of them being x, then which of the following is the other number? 

(i) x + (x + 1) = 71
(ii) x + (x + 2) = 71
(iii) x + x = 71
(iv) none of these

7: Two years ago my age was 'x' years 5 years ago my age was? 

(i) (x + 7) years
(ii) (x - 2 - 5) years
(iii) (x - 5) years
(iv) (x - 3) years

8: 10 years ago I was 'x' years old. After 10 years, my age will be

(i) (x + 20) years
(ii) (x - 20) years
(iii) (x + 10) years
(iv) (x -10) years

9: Ten years ago, I was x years old. After 5 years, my age will be:
(i) (x+5) years
(ii) (x+15) years
(iii) (x+10) years
(iv) (x-5) years

10: If 'x' is an even number, then which of the following is the next odd number is? 

(i) x + 1
(ii) x + 2
(iii) x - 1
(iv) x - 2

Answers

1. (iii) 

2. (ii) 

3. (i) 

4. (iii) 

5. (i) 

6. (i) 

7. (iv) 

8. (i) 

9. (ii) 

10. (i)

The document MCQ (with Solutions): Linear Equations in One Variable is a part of the Class 8 Course Mathematics (Maths) Class 8.
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FAQs on MCQ (with Solutions): Linear Equations in One Variable

1. How do I know if an equation is linear in one variable for Class 8 Maths?
Ans. A linear equation in one variable contains only one unknown letter with a power of 1, and no other variables. Examples include 2x + 5 = 13 or 3y - 7 = 8. The equation forms a straight line when graphed, hence "linear." Check that the variable appears only once and isn't squared, cubed, or under a square root. CBSE Class 8 focuses on identifying and solving these standard forms correctly.
2. What's the difference between solving linear equations and checking solutions?
Ans. Solving means finding the value of the variable that makes the equation true through algebraic steps. Checking means substituting that value back into the original equation to verify both sides equal each other. For instance, if solving 2x + 3 = 9 gives x = 3, checking involves replacing x with 3: 2(3) + 3 = 9, confirming the solution is correct. Both steps ensure accuracy in linear equation problems.
3. Why do some linear equations have no solution or infinite solutions?
Ans. Linear equations can have no solution when simplification leads to a false statement like 0 = 5. They have infinite solutions when simplification produces a true statement like 0 = 0, meaning any value of the variable works. Most equations have exactly one solution. Understanding these three cases-one solution, no solution, and infinite solutions-helps students recognise different equation types and avoid common mistakes during Class 8 assessments.
4. How do I handle fractions and decimals in linear equations?
Ans. To eliminate fractions, multiply the entire equation by the least common multiple (LCM) of all denominators. For decimals, multiply by powers of 10 to convert them to whole numbers. For example, in x/2 + 3 = 7, multiply by 2 to get x + 6 = 14. This simplification technique reduces errors and makes solving linear equations faster. Practise with MCQ problems involving fractional and decimal coefficients to strengthen this skill.
5. What common mistakes should I avoid when solving linear equations in exams?
Ans. Common errors include forgetting to apply operations to both sides equally, incorrectly transposing terms, and arithmetic mistakes during simplification. Students often forget to reverse inequality signs when multiplying by negatives. Double-check every step, verify your solution by substituting back, and work carefully through multi-step problems. Using flashcards and mind maps available on EduRev helps reinforce correct procedures and reduce careless errors during CBSE examinations.
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