Linear Equations in One Variable — Class 8 MCQs with Answers

Class 8 CBSE Mathematics · Chapter 102

Pre-2026 syllabusThis chapter is from the older NCERT book. See the 2026-27 Class 8 Mathematics chapters →

72 practice questions · 24 Easy · 24 Medium · 24 Hard · Updated 17 Sep 2026

Practise the most important Class 8 CBSE Mathematics questions from Chapter 102, "Linear Equations in One Variable". You get 9 timed quizzes made from 72 NCERT-based MCQs, with answers and explanations. The questions are split into 24 Easy, 24 Medium and 24 Hard. Warm up on the basics, then move on to the exam-level questions that set top scorers in CBSE Board exams apart.

To score well in "Linear Equations in One Variable", focus on fast problem-solving, formula recall and step-by-step working. Each MCQ here is timed and uses exam-style marking (+4 correct, −1 wrong, 0 skipped). This trains you to stay accurate under time pressure, as real papers need. Every question has a short explanation, so a wrong answer becomes a quick lesson. It is the fastest way to fix gaps before a test.

Use this chapter for focused revision. Start with the Easy set to check your basics on Linear Equations in One Variable, then move to Medium and Hard to practise applying them. Your accuracy, streaks and XP save automatically. This chapter also adds to your overall Class 8 Mathematics mastery score. 14 sample questions are solved in full below, with the answer and a worked explanation. Sign in free to start practising.

Key concepts: Linear Equations in One Variable (Class 8 Mathematics)

This chapter solves linear equations in one variable, including equations with variables on both sides and those reducible to linear form, and applies them to word problems.

Linear equation in one variable: An equation where the highest power of the variable is 1, e.g. 2x + 3 = 7; it has a single solution.
Balancing method: Perform the same operation on both sides to isolate the variable while keeping the equation balanced.
Transposing: A term can be moved to the other side by changing its sign (a shortcut for adding/subtracting on both sides).
Variables on both sides: Collect variable terms on one side and constants on the other, then solve.

1 more key concept, exam tips — free with sign-in.

Linear Equations in One Variable — important questions & MCQs with answers (Class 8 Mathematics)

14 solved questions from this chapter's difficulty levels, each with its answer and explanation. The other 58 are timed and scored when you sign in.

Q1Easy
Solve: x + 5 = 12
A.17
B.7✓ Correct
C.5
D.12
Answer: B. 7
Explanation: x = 12 − 5 = 7.
Q2Easy
A number increased by 6 gives 20. The number is:
A.12
B.14✓ Correct
C.26
D.16
Answer: B. 14
Explanation: x + 6 = 20 ⇒ x = 14.
Q3Easy
If 3x = 18, x =
A.21
B.15
C.6✓ Correct
D.3
Answer: C. 6
Explanation: x = 18/3 = 6.
Q4Easy
Thrice a number is 36. The number is:
A.9
B.33
C.12✓ Correct
D.108
Answer: C. 12
Explanation: 3x = 36 ⇒ x = 12.
Q5Easy
Solve: x − 7 = 4
A.11✓ Correct
B.3
C.−3
D.28
Answer: A. 11
Explanation: x = 4 + 7 = 11.
Q6Easy
If 5 is subtracted from twice a number, the result is 9. The number is:
A.2
B.14
C.4
D.7✓ Correct
Answer: D. 7
Explanation: 2x − 5 = 9 ⇒ 2x = 14 ⇒ x = 7.
Q7Medium
Solve: 2x − 3 = 7
A.10
B.2
C.5✓ Correct
D.4
Answer: C. 5
Explanation: 2x = 10, x = 5.
Q8Medium
Sum of two consecutive integers is 27. Smaller integer:
A.12
B.13✓ Correct
C.14
D.11
Answer: B. 13
Explanation: x + (x+1) = 27 ⇒ x = 13.
Q9Medium
Solve: 5x − 2 = 3x + 8
A.5✓ Correct
B.3
C.4
D.6
Answer: A. 5
Explanation: 2x = 10, x = 5.
Q10Medium
The sum of three consecutive integers is 72. The largest is:
A.23
B.24
C.26
D.25✓ Correct
Answer: D. 25
Explanation: x + (x+1) + (x+2) = 72 ⇒ x = 23, largest = 25.
Q11Medium
Solve: 7x + 3 = 4x + 18
A.3
B.6
C.7
D.5✓ Correct
Answer: D. 5
Explanation: 3x = 15, x = 5.
Q12Hard
Solve: (x+2)/3 = 5
A.13✓ Correct
B.15
C.17
D.3
Answer: A. 13
Explanation: x + 2 = 15, x = 13.
Q13Hard
Father is 4 times his son's age. After 5 years, sum will be 60. Son's present age:
A.12
B.10✓ Correct
C.8
D.15
Answer: B. 10
Explanation: (x+5)+(4x+5)=60 ⇒ 5x=50 ⇒ x=10.
Q14Hard
Solve: x/2 + x/3 = 10
A.5
B.6
C.15
D.12✓ Correct
Answer: D. 12
Explanation: Multiply by 6: 3x + 2x = 60 ⇒ 5x = 60 ⇒ x = 12.

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Linear Equations in One Variable — FAQs

What are the key concepts in Class 8 Mathematics Linear Equations in One Variable?+

This chapter solves linear equations in one variable, including equations with variables on both sides and those reducible to linear form, and applies them to word problems. Key ideas include Linear equation in one variable, Balancing method, Transposing, Variables on both sides.

What does Class 8 Mathematics Chapter 102 (Linear Equations in One Variable) cover on XamBaaz?+

It has 72 NCERT-based MCQs on "Linear Equations in One Variable": 24 Easy, 24 Medium and 24 Hard. Together they make 9 timed quizzes, and you never get the same set twice. Every question has an instant explanation. They help you prepare for CBSE Board exams.

Are these "Linear Equations in One Variable" questions free to practise?+

Yes. Sign in with Google to practise "Linear Equations in One Variable" free. Full unlimited access is ₹999/year on a launch offer until 1 December 2026. No chapter is charged separately.

How should I revise "Linear Equations in One Variable" for the exam?+

Start with the Easy quiz to check your basics, then try Medium and Hard to practise applying them. There are 9 timed quizzes on this chapter, so you can come back for a fresh set instead of one you have seen. Read each explanation, retry the questions you miss, and track your accuracy until it stays high.

Are these "Linear Equations in One Variable" MCQs available with answers?+

Yes. 14 sample questions are shown here in full, each with the correct option and a step-by-step "Why" explanation. Sign in free with Google to start practising, with instant scoring.

Is there negative marking in the "Linear Equations in One Variable" quizzes?+

Yes. The timed quizzes use exam-style marking: +4 for a right answer, −1 for a wrong one and 0 for a skip. MHT-CET and CBSE board papers have no negative marking. Our mocks for those are scored their way.

What are the important questions from Linear Equations in One Variable (Class 8 Mathematics)?+

The questions that matter most test Linear equation in one variable, Balancing method, Transposing, Variables on both sides. This page shows 14 solved important MCQs with answers and explanations; all 72 questions on the chapter are available as timed quizzes once you sign in.

Is there an online quiz for Linear Equations in One Variable?+

Yes — Class 8 Mathematics Linear Equations in One Variable has timed online quizzes at Easy, Medium and Hard levels, with instant scoring and a worked explanation on every question. The first quiz on the chapter is free.

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