Class 8 Maths Chapter 2 Linear Equations MCQs with Solutions

By solving these Class 8 Linear Equations MCQs with answers, students can revise the chapter quickly, identify weak areas, and build a strong foundation in algebra. Each question comes with a clear step-by-step explanation to help improve accuracy and exam readiness. For added convenience, you can also download the free PDF of Class 8 Linear Equations MCQs with answers to practice offline and revise effectively before exams.

Solve Class 8 Maths MCQs on Linear Equations in One Variable (Chapter 2) with answers and explanations. All questions are prepared as per the latest CBSE Class 8 Maths syllabus (2025–26) and are strictly based on the NCERT textbook. These Linear Equations Class 8 MCQs with answers are arranged systematically to help students revise concepts step by step. By practicing these objective questions on linear equations, students can strengthen their understanding of equations, balancing methods, and word problems, improve exam preparation, and score higher marks. You can also download the free PDF of Class 8 Linear Equations MCQs with answers for offline practice and quick revision before exams.

Overview of Class 8 Linear Equations

Linear equations in one variable are algebraic equations of the form ax + b = c, where x is a variable and a, b, c are integers with a ≠ 0. The special feature of these equations is that the power of the variable is always 1, which makes them “linear.”

In Class 8 Maths Chapter 2 – Linear Equations in One Variable, students learn to:

• Solve equations step by step by transposing terms and simplifying both sides.
• Apply linear equations to word problems related to ages, numbers, money, geometry, and daily life situations.
• Handle equations reducible to linear form, including those with fractions and brackets.

Understanding these concepts is essential because Class 8 Linear Equations MCQs with answers are frequently asked in school exams, Olympiads, and competitive tests. Regular practice ensures clarity, speed, and higher scores.

Class 8 Maths Chapter 2 – Linear Equations in One Variable MCQs 

Q1. Which of the following is a linear equation in one variable?
a) 2x + 3 = 7
b) x² + 2 = 0
c) xy = 10
d) y² – 3 = 0
Answer: a) 2x + 3 = 7
Explanation: Linear equations have only one variable raised to the power 1.

Q2. The standard form of a linear equation in one variable is:
a) ax² + bx + c = 0
b) ax + b = 0
c) ax³ + b = 0
d) none
Answer: b) ax + b = 0

Q3. Which of the following is NOT linear in one variable?
a) 5x – 7 = 3
b) x + 2 = 8
c) x² + 4 = 0
d) 3x – 4 = 6
Answer: c) x² + 4 = 0

Q4. Solve: 2x – 7 = 5
a) 4
b) 5
c) 6
d) 7
Answer: c) 6
Explanation: 2x = 12 → x = 6.

Q5. Solve: 3x + 4 = 13
a) 2
b) 3
c) 4
d) 5
Answer: b) 3

Q6. If 5x – 10 = 0, then x = ?
a) 0
b) 2
c) 3
d) –2
Answer: b) 2

Q7. Solve: 4x + 9 = 25
a) 4
b) 3
c) 2
d) 5
Answer: a) 4

Q8. Solve: (x/2) + 7 = 11
a) 6
b) 8
c) 10
d) 12
Answer: b) 8

Q9. Solve: x/3 + 5 = 8
a) 9
b) 7
c) 6
d) 3
Answer: c) 9

Also Check: NCERT Solutions for Class 8 Maths

Q10. Solve: (2x – 3)/4 = 5
a) 11
b) 12
c) 13
d) 14
Answer: a) 11

Q11. Solve: (x – 1)/2 = 7
a) 15
b) 12
c) 13
d) 14
Answer: d) 15

Q12. Solve: (3x + 4)/5 = 7
a) 9
b) 11
c) 12
d) 13
Answer: a) 9

Q13. The sum of a number and 5 is 12. Find the number.
a) 5
b) 6
c) 7
d) 8
Answer: b) 7
Explanation: x + 5 = 12 → x = 7.

Q14. Five times a number decreased by 2 is 13. Find the number.
a) 3
b) 4
c) 5
d) 6
Answer: b) 3
Explanation: 5x – 2 = 13 → 5x = 15 → x = 3.

Q15. Three consecutive integers have sum 51. The smallest integer is:
a) 15
b) 16
c) 17
d) 18
Answer: b) 16
Explanation: x + (x+1) + (x+2) = 51 → 3x+3=51 → x=16.

Q16. If 1/2 of a number is 5 more than 1/3 of the same number, then the number is:
a) 15
b) 20
c) 25
d) 30
Answer: b) 30
Explanation: (x/2) = (x/3) + 5 → x=30.

Q17. A number when multiplied by 2 and increased by 5 gives 19. Find the number.
a) 5
b) 6
c) 7
d) 8
Answer: b) 7
Explanation: 2x + 5 = 19 → 2x=14 → x=7.

Q18. The perimeter of a rectangle is 30 cm. If its length is 10 cm, find its breadth.
a) 4
b) 5
c) 6
d) 7
Answer: b) 5
Explanation: 2(l+b)=30 → b=5.

Q19. The age of a father is twice the age of his son. If sum of their ages is 36, find son’s age.
a) 10
b) 11
c) 12
d) 13
Answer: c) 12
Explanation: x + 2x = 36 → x=12.

Q20. A shopkeeper sells a shirt for ₹750 and gains ₹50. Find cost price.
a) 650
b) 700
c) 750
d) 800
Answer: b) 700
Explanation: CP + 50 = 750 → CP = 700.

Q21. Solve: 7x – 9 = 3x + 15
a) 5
b) 6
c) 7
d) 8
Answer: c) 6

Q22. Solve: 4x – 5 = 3x + 2
a) 5
b) 6
c) 7
d) 8
Answer: a) 7

Q23. Solve: 5(x – 2) = 3(x + 4)
a) 7
b) 8
c) 9
d) 10
Answer: a) 8

Q24. Solve: 2(x + 3) = 3(x – 1)
a) 8
b) 7
c) 9
d) 6
Answer: b) 9

Q25. If 3 is added to twice a number, result is 11. Find the number.
a) 2
b) 3
c) 4
d) 5
Answer: a) 4

Q26. A number is 7 more than one-third of itself. Find the number.
a) 10.5
b) 12
c) 21
d) 24
Answer: c) 10.5
Explanation: x = (x/3) + 7 → x=10.5.

Q27. Solve: (x – 3)/2 + (x + 5)/3 = 4
a) 5
b) 6
c) 7
d) 8
Answer: b) 7

Q28. Solve: (2x + 1)/3 – (x – 2)/2 = 3
a) 7
b) 8
c) 9
d) 10
Answer: a) 7

Q29. Solve: (3x – 2)/4 + (x + 3)/5 = 5
a) 5
b) 6
c) 7
d) 8
Answer: c) 7

Q30. Solve: 5x/2 – 3 = 7
a) 2
b) 3
c) 4
d) 5
Answer: c) 4

Linear Equations Class 8 Worksheets (Practice PDF)

Students preparing for exams can also practice using the Class 8 Linear Equations Worksheet. Each worksheet on linear equations for Class 8 with answers includes different levels of questions, from direct solving to application-based word problems. These worksheets are available in a downloadable PDF format to help students revise offline and test their knowledge.

Download Free Class 8 Linear Equations Worksheet PDF with Answers

Tips for Class 8 Linear Equations MCQs

• Always simplify both sides of the equation before solving.
• Shift constants and variables step by step to avoid mistakes.
• Practice word problems, as they form a major part of exams.
• Use the balancing method carefully for equations with fractions.
• Attempt time-bound Class 8 Linear Equations MCQs to build speed.