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Practice Class 8 Maths Chapter 2 Transposition method, linear Equations in One Variable MCQ Questions with Answers based on NCERT syllabus. Learn solving linear equations, variables, constants, and algebraic expressions with detailed solutions for CBSE exams.
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Chapter Information
Subject: Mathematics
Class: 8
Chapter: Linear Equations in One Variable
Question Type: Multiple Choice Questions (MCQs)
Difficulty Level: Moderate to Difficult
Based On: NCERT Latest Syllabus
Introduction:
Linear Equations in One Variable is one of the most important algebra chapters in Class 8 Mathematics. It teaches students how to find unknown values using mathematical operations and logical reasoning.
What You Will Learn?
✔ Variables and Constants
✔ Linear Equations
✔ Transposition Method
✔ Solving Equations
✔ Verification of Solutions
✔ Algebraic Thinking
✔ Real-Life Applications of Equations
✔ Board Exam Preparation
Why This Topic Is Important?
Linear equations are widely used in mathematics and real-life situations involving money, age, measurements, and comparisons. Understanding equations develops strong analytical and problem-solving skills.
Exam Relevance
These questions are useful for:
✔ CBSE Exams
✔ State Board Exams
✔ School Tests
✔ Unit Tests
✔ Half-Yearly Exams
✔ Annual Exams
✔ Scholarship Examinations
Q1. Solve:
$$x+34=79$$
A) $$43$$
B) $$44$$
C) $$45$$
D) $$46$$
Answer:
$$45$$
Useful Formula for this Question:
If
$$x+a=b$$
then
$$x=b-a$$
Concept Behind This Question:
Students should isolatethe variable using subtraction.
Step-by-Step Solution:
Given:
$$x+34=79$$
Subtract $$34$$ from both sides:
$$x=79-34$$
$$x=45$$
Therefore, the correct answer is:
$$45$$
Exam Tip:
Subtract the constant term to isolate the variable.
Q2. Solve:
$$x-28=17$$
A) $$43$$
B) $$44$$
C) $$45$$
D) $$46$$
Answer:
$$45$$
Useful Formula for this Question:
If
$$x-a=b$$
then
$$x=b+a$$
Concept Behind This Question:
Students should apply transposition correctly.
Step-by-Step Solution:
Given:
$$x-28=17$$
Add $$28$$ to both sides:
$$x=17+28$$
$$x=45$$
Therefore, the correct answer is:
$$45$$
Exam Tip:
A negative term becomes positive after transposition.
Q3. Solve:
$$11x=132$$
A) $$10$$
B) $$11$$
C) $$12$$
D) $$13$$
Answer:
$$12$$
Useful Formula for this Question:
If
$$ax=b$$
then
$$x=\frac{b}{a}$$
Concept Behind This Question:
Students should divide both sides by the coefficient.
Step-by-Step Solution:
Given:
$$11x=132$$
Divide both sides by $$11$$
$$x=\frac{132}{11}$$
$$x=12$$
Therefore, the correct answer is:
$$12$$
Exam Tip:
Divide by the coefficient attached to the variable.
Q4. Solve:
$$\frac{x}{14}=5$$
A) $$68$$
B) $$69$$
C) $$70$$
D) $$71$$
Answer:
$$70$$
Useful Formula for this Question:
If
$$\frac{x}{a}=b$$
then
$$x=ab$$
Concept Behind This Question:
Students should remove fractions using multiplication.
Step-by-Step Solution:
Given:
$$\frac{x}{14}=5$$
Multiply both sides by $$14$$
$$x=5\times14$$
$$x=70$$
Therefore, the correct answer is:
$$70$$
Exam Tip:
Multiply both sides by the denominator to eliminate fractions.
Q5. Solve:
$$9x+18=90$$
A) $$6$$
B) $$7$$
C) $$8$$
D) $$9$$
Answer:
$$8$$
Useful Formula for this Question:
Solve step-by-step by isolating the variable.
Concept Behind This Question:
Students should remove constants before dividing.
Step-by-Step Solution:
Given:
$$9x+18=90$$
Subtract $$18$$ from both sides:
$$9x=72$$
Divide both sides by $$9$$
$$x=8$$
Therefore, the correct answer is:
$$8$$
Exam Tip:
First remove the constant term, then divide by the coefficient.
Important Formulas & Concepts
1. Linear Equation in One Variable
$$ax+b=0,\quad a\ne0$$
2. Addition Property
If
$$a=b$$
then
$$a+c=b+c$$
3. Subtraction Property
If
$$a=b$$
then
$$a-c=b-c$$
4. Multiplication Property
If
$$a=b$$
then
$$ac=bc$$
5. Division Property
If
$$a=b,\quad c\ne0$$
then
$$\frac{a}{c}=\frac{b}{c}$$
6. Verification Rule
Substitute the obtained value into the original equation to verify the solution.
FAQs
1. What is a linear equation?
A linear equation is an equation whose highest power of the variable is 1.
2. What is a constant?
A constant is a fixed numerical value that does not change.
3. What is transposition?
Transposition means moving a term from one side of an equation to the other while changing its sign.
4. Why is verification necessary?
Verification ensures that the solution satisfies the original equation.
5. Are linear equations useful in daily life?
Yes, they are used in age problems, budgeting, shopping calculations, and measurements.
Common Mistakes
❌ Incorrect sign changes during transposition.
❌ Forgetting to divide by the coefficient.
❌ Arithmetic mistakes.
❌ Not verifying the final answer.
❌ Solving terms in the wrong order.
Quick Revision Notes
✔ Linear equations contain variables with power 1.
✔ Use inverse operations to isolate variables.
✔ Change signs carefully during transposition.
✔ Remove constants before dividing.
✔ Verify the final answer.
✔ Practice regularly to improve speed and accuracy.
Conclusion
Linear Equations in One Variable is a fundamental chapter in Class 8 Mathematics. Understanding equations helps students solve problems efficiently and strengthens their algebraic foundation. Regular MCQ practice improves confidence, conceptual understanding, and exam performance.
Related links
- Class 8 Maths Chapter 2 Linear Equations in One Variable MCQ – Part 4
- Class 8 Maths Chapter 2 Linear Equations in One Variable MCQ – Part 3
- Class 8 Maths Chapter 2 Linear Equations in One Variable MCQ – Part 2
- Class8 Maths Chapter2 Linear Equations in One Variable MCQ – Part 1
- Class 8 Maths Chapter 1 Rational Numbers- Part 10
- Class 8 Maths Chapter 1 Rational Numbers – Part 9
- Class 8 Maths Chapter 1 Rational Numbers – Part 8
- Class 8 Maths Chapter 1 Rational Numbers – Part 4
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