Chapter 2 of the new Ganita Manjari book is about Linear Polynomials. The Class 9 Maths Formula Sheet Chapter 2 Linear Polynomials puts the degree rule, the value of a polynomial, and the straight-line relationship y = ax + b together on one page for quick revision.
- Formulas inside: about 14 rules, from degree and naming to slope and y-intercept.
- What they cover: polynomial value, linear equations, linear patterns, and graphing a line.
- Why one page helps: the whole chapter fits in front of you, so revision before a test is fast.
This sheet is prepared by subject teachers, matched to the current 2026-27 NCERT, and checked line by line so a Class 9 student can trust every rule.
What Does the Class 9 Maths Linear Polynomials Formula Sheet Cover?
The Class 9 Maths Formula Sheet Chapter 2 Linear Polynomials covers the full run of the chapter. You get the degree rule, the names for degree 0 to 3, the linear form ax + b, and how to find a polynomial's value at a number. It then lists how a linear polynomial becomes a linear equation, how linear patterns and growth or decay work, and how the line y = ax + b is set by its slope a and its y-intercept b. Everything is drawn straight from the book.
Video Walkthrough
Source: PW Class 9 - NEEV on YouTube
Linear Polynomials Class 9 Maths All Formulas at a Glance
The table below lists every rule for Chapter 2. Each formula cell is written in clean math so you can use it right away.
| Concept | Formula | What it means |
|---|---|---|
| Degree of a polynomial | highest power of the variable | Read the largest exponent that appears. |
| Naming by degree | 0 constant, 1 linear, 2 quadratic, 3 cubic | The name comes from the degree. |
| Linear polynomial | p(x) = ax + b, a ≠ 0 | A degree-1 polynomial in one variable. |
| Value at x = k | put k in place of x | Substitute and simplify to get the output. |
| Linear equation | linear polynomial = constant | Set equal to a number, then solve for x. |
| Linear pattern | nth term = an + b | A pattern with a constant difference. |
| Growth and decay | a > 0 growth; a < 0 decay | The sign of a shows the direction. |
| Linear relationship | y = ax + b | Links two variables x and y. |
| Slope | a = change in y per unit x | The fixed rate at which y changes. |
| y-intercept | line cuts y-axis at (0, b) | The value of y when x = 0. |
| Line through origin | y = ax | Passes through (0, 0); a is the slope. |
| Parallel lines | same a, different b | Equal slopes never meet. |
When to Use Which Formula in Linear Polynomials
Choose the right rule by reading what the question asks. This short list keeps the choice simple.
- If you must name a polynomial, read its degree first.
- If you need the output at a number, substitute it for x and simplify.
- If a linear polynomial equals a number, solve it as a linear equation.
- If a pattern has a constant difference, its rule is an + b.
- If you have two data points, form two equations to find a and b.
- If you must draw y = ax + b, plot any two points and join them.
Quick Facts for Linear Polynomials
The cards below hold the facts students mix up most. Keep the Class 9 Maths Formula Sheet Chapter 2 Linear Polynomials next to them while you revise, and the rules will settle faster.
How will Collegedunia's Formula Sheet Help You with Linear Polynomials?
Collegedunia builds the Class 9 Maths Formula Sheet Chapter 2 Linear Polynomials as one printable page for fast revision.
- 2026-27 Ganita Manjari match: Every rule follows the new book, not the old chapter order.
- Plain meaning added: Each formula has a short line saying what it does.
- Teacher checked: Subject experts verify each degree, slope, and intercept rule.
- Free PDF: Download the sheet and keep it ready for your Class 9 annual exam.
More Linear Polynomials Maths Class 9 Resources
Use the links below to open the other Collegedunia resources for this chapter.
NCERT Formula Sheet for Class 9 Maths: All Chapters
Use the table below to open the Formula Sheet for any other chapter of the new Class 9 Maths book.
| Chapter | Resource |
|---|---|
| Chapter 1 | Coordinates Formula Sheet |
| Chapter 2 | Linear Polynomials Formula Sheet |
| Chapter 3 | The World of Numbers Formula Sheet |
| Chapter 4 | Algebraic Identities Formula Sheet |
| Chapter 5 | Circles Formula Sheet |
| Chapter 6 | Perimeter and Area Formula Sheet |
| Chapter 7 | Introduction to Probability Formula Sheet |
| Chapter 8 | Sequences and Progressions Formula Sheet |
Linear Polynomials Class 9 Maths Formula Sheet FAQs
Ques. Where can I download the Linear Polynomials Class 9 Maths Formula Sheet PDF?
Ans. You can download the Linear Polynomials Class 9 Maths Formula Sheet PDF directly from this page. Both the Normal and HD versions are free.
Ques. How many formulas are in the Class 9 Maths Chapter 2 Linear Polynomials Formula Sheet?
Ans. The sheet lists about 14 rules, covering degree, polynomial value, linear equations, patterns, slope, and the y-intercept.
Ques. Is this chapter part of the new 2026-27 Ganita Manjari book?
Ans. Yes. Linear Polynomials is Chapter 2 of the new Ganita Manjari book for the 2026-27 syllabus. It replaces the way polynomials were spread across the older book.
Ques. How many pages is the Linear Polynomials Formula Sheet PDF?
Ans. The Formula Sheet PDF runs about 2 pages, with a full formula table and a quick-reference section for last-day revision.
Ques. What is the main formula on this sheet?
Ans. The key rule is the linear form p(x) = ax + b with a ≠ 0, which also gives the line y = ax + b.
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