Class 8 Mathematics — Chapter 2: Linear Equations in One Variable
72 practice questions · 24 Easy · 24 Medium · 24 Hard
Practise Class 8 Mathematics Chapter 2, "Linear Equations in One Variable", with 72 NCERT-aligned multiple-choice questions. The set is split into 24 Easy, 24 Medium and 24 Hard questions, so you can warm up on the fundamentals and then push into the exam-level problems that separate top scorers in CBSE Board exams.
"Linear Equations in One Variable" is one of the chapters where problem-solving speed, formula recall and step-by-step reasoning really pays off. Each MCQ on this chapter is timed and uses exam-grade marking (+2 correct, −1 wrong, 0 skipped), training the same accuracy-under-pressure that real papers demand. Every question carries a short explanation, so a wrong answer becomes a quick lesson rather than a dead end — the fastest way to close gaps before a test.
Use this chapter as targeted revision: attempt the Easy set first to confirm your basics on Linear Equations in One Variable, then move to Medium and Hard to test application and problem-solving. Your accuracy, streaks and XP save automatically, and the chapter feeds into your overall Class 8 Mathematics mastery score. A few sample questions are shown below; sign in free to practise all 72.
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.
- Equations reducible to linear form
- Equations with fractions are cleared by cross-multiplication or by multiplying through by the LCM.
💡 Exam tips for Linear Equations in One Variable
- When you transpose a term across the equals sign, change its sign (+ becomes − and × becomes ÷).
- Always verify the answer by substituting it back into the original equation.
Sample questions
Solve: x − 7 = 4
x = 4 + 7 = 11.
Solve: 2x − 3 = 7
2x = 10, x = 5.
Solve: (x+2)/3 = 5
x + 2 = 15, x = 13.
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 2 (Linear Equations in One Variable) cover on XamBaaz?+
It covers 72 NCERT-aligned MCQs on "Linear Equations in One Variable" — 24 Easy, 24 Medium and 24 Hard — each with a timed quiz and an instant explanation, suitable 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 (limited-time launch price), with no per-chapter charges.
How should I revise "Linear Equations in One Variable" for the exam?+
Start with the Easy quiz to confirm your fundamentals, then attempt Medium and Hard for application-level practice. Review each explanation, retry the questions you miss, and track your accuracy on this chapter until it is consistently high.
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