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
Jump to the 6 solved questions
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 top scorers in CBSE Board exams get right.
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 helps you stay accurate when time is short, just 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. Try the 6 sample questions below: tap an option to see the answer and a worked explanation. Sign in free to start practising.
Linear Equations in One Variable — important questions & MCQs with answers (Class 8 Mathematics)
6 solved questions from this chapter's difficulty levels, each with its answer and explanation. Tap an option to check yourself.
0 of 6 answered
- Q1 of 6Easy
Solve: x + 5 = 12
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Answer: 7
Explanation: x = 12 − 5 = 7.
- Q2 of 6Easy
A number increased by 6 gives 20. The number is:
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Answer: 14
Explanation: x + 6 = 20 ⇒ x = 14.
- Q3 of 6Medium
Solve: 2x − 3 = 7
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Answer: 5
Explanation: 2x = 10, x = 5.
- Q4 of 6Medium
Sum of two consecutive integers is 27. Smaller integer:
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Answer: 13
Explanation: x + (x+1) = 27 ⇒ x = 13.
- Q5 of 6Hard
Solve: (x+2)/3 = 5
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Answer: 13
Explanation: x + 2 = 15, x = 13.
- Q6 of 6Hard
Father is 4 times his son's age. After 5 years, sum will be 60. Son's present age:
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Answer: 10
Explanation: (x+5)+(4x+5)=60 ⇒ 5x=50 ⇒ x=10.
Linear Equations in One Variable notes: key concepts (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.
- Equations reducible to linear form
- Equations with fractions are cleared by cross-multiplication or by multiplying through by the LCM.
Start this chapter free
You have 6 to try above. Sign in with Google (no card needed). You get 1 Easy + 1 Medium quiz on every chapter, free for good (up to 6 quizzes a day) — plus a free Hard quiz when you score 70%+ on a Medium quiz (1 per subject), and the exam tips.
This chapter has 72 questions (24 Easy · 24 Medium · 24 Hard), with timed scoring and instant feedback. The rest unlock with the ₹999/year plan.
Start with the questions above. The full quiz opens here after.
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, Equations reducible to linear form.
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. One year from the day you pay. You stay in Class 8 till 31 March; on 1 April your account moves up to Class 9 and the rest of your year carries over. 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. 6 sample questions are on this page with answers: tap an option, or "Show answer", to see the correct option and a step-by-step 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, Equations reducible to linear form. This page shows 6 solved important MCQs with answers and explanations. Sign in to practise all 72 questions on the chapter as timed quizzes.
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.
Are there question answers and extra questions for Linear Equations in One Variable (Class 8 Mathematics)?+
Yes. This page has 6 solved questions on Linear Equations in One Variable, each with the correct answer and a short explanation. Sign in to practise all 72 questions on the chapter as timed quizzes.