The Linear Polynomials Exercise 2.2 solutions cover all 7 questions from the new Ganita Manjari book. This set moves from finding the value of a polynomial to turning word problems into linear equations. Use these NCERT Solutions Class 9 Maths Chapter 2 Linear Polynomials Exercise 2.2 answers to check each step with ease.

  • Questions solved: all 7 questions on values and word-problem equations.
  • Main skills: putting a number into a polynomial and forming an equation from words.
  • Links to chapter: this is where Linear Polynomials meets linear equations you can solve.

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 Exercise 2.2 Cover?

This exercise has two parts. First you find the value of a polynomial by putting a given number in place of the variable. Then you meet word problems on ages, coins, and lengths. In each one you name the unknown with a letter, write the other quantities in terms of it, and form a linear equation. Solving that equation gives the answer. This is the heart of Linear Polynomials.

Video Walkthrough

Source: PW Class 9 - NEEV on YouTube

Linear Polynomials Exercise 2.2 Question Breakdown

The exercise has seven questions. The first two ask for values, and the rest are word problems.

QuestionWhat it asks
Question 1Find the value of the linear polynomial 5x - 3 for given values of x.
Question 2Find the value of the quadratic polynomial 7s2 - 4s + 6.
Question 3Age problem on Salil and his mother.
Question 4Two integers with difference 63 and a given ratio.
Question 5Ruby's two-rupee and five-rupee coins.
Question 6A farmer cuts a 300-feet fence into two pieces.
Question 7A rectangle with length linked to width and a given perimeter.

Sample Solved Question from Exercise 2.2

Here is Question 3, solved step by step, so you can see how words become an equation.

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

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

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

Quick Tip: Always name the smaller quantity with the letter first. A clear "let x be Salil's age" line keeps the rest of the sum tidy.

How to Use These Linear Polynomials Exercise 2.2 Solutions

Read the word problem twice, then try to form the equation on your own. Open the Collegedunia solution only to check your setup and final answer.

  • Write a "let x be..." line for every word problem before you calculate.
  • Always verify your answer by putting it back into the story.
  • Practise these before your Class 9 annual exam to gain speed and accuracy.

More Class 9 Maths Linear Polynomials Exercise 2.2 Solutions

Use the table below to open the full chapter or any other exercise of Linear Polynomials.

Linear Polynomials Exercise 2.2 NCERT Solutions FAQs

Ques. How many questions are there in Class 9 Maths Exercise 2.2?

Ans. Exercise 2.2 has 7 questions. Two ask for the value of a polynomial and five are word problems. Collegedunia solves all of them.

Ques. How do I find the value of a polynomial in Exercise 2.2?

Ans. Put the given number in place of the variable and simplify. For 5x - 3 at x = 2, the value is 5(2) - 3 = 7.

Ques. What is the first step in a word problem here?

Ans. Name the unknown with a letter, usually the smallest quantity. Then write the other amounts in terms of that letter and form a linear equation.

Ques. Can I download the Exercise 2.2 solutions PDF?

Ans. Yes. The Linear Polynomials Exercise 2.2 solutions PDF is free on this page, so you can revise offline before your Class 9 exam.