Chapter 2: Introduction to Linear Polynomials - Solutions
Chapter solutions are on NCERT Archive
Step-by-step solutions for this chapter now live on NCERT Archive, along with the chapter itself. Use the buttons below to open them.
About Chapter 2 (Introduction to Linear Polynomials)
Chapter 2 (Introduction to Linear Polynomials) is chapter 2 of 14 in the new edition of Ganita Manjari (NCERT Class 9 Mathematics), a textbook for Class 9 students at the Secondary stage. This is the new edition, the textbook brought out under the NEP 2020 / NCF-SE 2023 syllabus rollout.
Chapter 2 introduces polynomials in one variable and focuses on linear polynomials (degree 1). Starting from everyday situations such as buying boxes of pens, fencing a garden and fixed-plus-per-use charges, the chapter explains terms, coefficients, variables and degree, treats a polynomial as an input-output process, and uses linear patterns to model linear growth and linear decay. It then shows how to find the linear relationship y = ax + b from two data points and how to draw its graph, where a is the slope and b is the y-intercept.
In the book it comes after Chapter 1 (Orienting Yourself: The Use of Coordinates) and before Chapter 3 (The World of Numbers), so it helps to be comfortable with the earlier chapters before starting it.
Topics covered
- Algebraic expressions, terms, coefficients and variables
- Polynomials in one variable and their degree (constant, linear, quadratic, cubic)
- Linear polynomials and linear equations
- Polynomials as input-output processes (functions)
- Linear patterns and the nth term
- Linear growth and linear decay
- Finding the linear relationship y = ax + b from two points
- Graphing linear relationships: slope, y-intercept and parallel lines
What the solutions on NCERT Archive include
NCERT Archive is our dedicated site for NCERT textbooks and solutions, Class 1 to 12. The solutions page for Chapter 2 (Introduction to Linear Polynomials) there gives chapter-wise answers to the questions of Ganita Manjari (NCERT Class 9 Mathematics), written to follow the order of the textbook, and links back to the chapter itself. Use the buttons above to go to it.
How to study Introduction to Linear Polynomials
- Read the worked examples before the exercises and copy out each step in your own hand.
- Attempt every exercise question yourself first; open the solution only to check your method or when you are stuck.
- Keep a short list of formulas and definitions from the chapter and revise it before tests.
- Redo the questions you got wrong after a day or two, without looking at the solution.
Frequently Asked Questions
Which book is Chapter 2 (Introduction to Linear Polynomials) of Class 9 Mathematics from?
It is from the new edition of Ganita Manjari (NCERT Class 9 Mathematics). The book has 14 chapters, and this is chapter 2.
Where can I find the solutions for Chapter 2 (Introduction to Linear Polynomials) of Class 9 Mathematics?
On NCERT Archive. Press the "Open Chapter Solutions" button on this page and you will land on the solutions page for this chapter there.
Is this the new edition or the old edition?
This page is for the new edition. If your school still uses the earlier textbook, use the Old Edition switch at the top of the page.
Is it free to use?
Yes. Scholar Donkey and NCERT Archive are free to use and need no login.