Linear Polynomials Class 9 Maths NCERT Solutions

The NCERT Solutions Class 9 Maths Chapter 2 Linear Polynomials cover every question from the new Ganita Manjari book. This chapter teaches you to read the degree of a polynomial, find its value, and turn word problems into simple linear equations that you can solve step by step.

• Exercises solved: Exercise Sets 2.1 to 2.6 and all 7 End-of-Chapter problems
• Main skills: finding degree and coefficients, evaluating polynomials, and forming linear equations
• Why it matters: it builds the base for algebra and linear equations in Class 10

These solutions are prepared by subject teachers, matched to the current 2026-27 NCERT, and checked step by step so a Class 9 student can follow each line.

What Does Class 9 Maths Chapter 2 Linear Polynomials Cover?

The chapter begins with the idea of a polynomial. You learn what a term, a coefficient, and a degree mean. A polynomial of degree one, like 5x - 3, is called a linear polynomial. You then find the value of a polynomial by putting a number in place of the variable. The NCERT Solutions Class 9 Maths Chapter 2 Linear Polynomials also show how everyday situations, such as savings or age problems, become linear equations that you can solve for one unknown.

Video Walkthrough

Source: PW Class 9 - NEEV on YouTube

Class 9 Maths Chapter 2 Linear Polynomials Exercise-Wise Breakdown

The chapter has six exercise sets and one End-of-Chapter set. The table below shows what each part asks, so you can plan your practice.

Common Mistakes Students Make in Linear Polynomials

Most errors in this chapter come from small slips, not hard ideas. Fix these early and your marks stay safe.

• Confusing the degree with the number of terms in a polynomial.
• Forgetting that a missing term has coefficient 0.
• Setting up the equation wrongly when the words say "three times" or "after 5 years".

Sample Solved Question from Class 9 Maths Chapter 2

Here is one Exercise 2.2 type word problem, solved step by step, so you can see the method.

Question: The present age of Salil's mother is three times Salil's present age. After 5 years, their ages will add up to 70 years. Find their present ages.

Step 1. Let Salil's present age be x years. Then his mother's age is 3x years.

Step 2. After 5 years, Salil is x + 5 and his mother is 3x + 5.

Step 3. Their ages add up to 70, so (x + 5) + (3x + 5) = 70.

Step 4. Simplify to get 4x + 10 = 70, so 4x = 60 and x = 15.

Final answer. Salil is 15 years old and his mother is 45 years old.

How to Study Linear Polynomials and Time Needed

This chapter mixes short definition questions with word problems. Learn the terms first, then practise forming equations. Start with the six exercise sets, then use the NCERT Solutions Class 9 Maths Chapter 2 Linear Polynomials to check your End-of-Chapter answers.

How will Collegedunia's NCERT Solutions Help You with Linear Polynomials?

Collegedunia gives you the full NCERT Solutions Class 9 Maths Chapter 2 Linear Polynomials as clean, step-by-step answers in one place.

• 2026-27 Ganita Manjari match: Every answer follows the new book, not the old chapter list.
• Full working shown: Each step is written out, so you never guess how a line was reached.
• Teacher checked: Subject experts verify each degree, value, and equation.
• Free PDF: Download the solutions and revise offline before your exam.

More Linear Polynomials Maths Class 9 Resources

NCERT Solutions for Class 9 Maths: All Chapters

Use the table below to open the NCERT Solutions for any other chapter of the new Class 9 Maths book.