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Introduction to Linear Polynomials

CBSE · Class 9 · Mathematics

Quick revision notes for Introduction to Linear Polynomials — CBSE Class 9 Mathematics. Key concepts, formulas, and definitions for last-minute revision.

105 questions80 flashcards5 concepts

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Key Topics to Revise

1

1. Algebraic expressions and one-variable polynomials

  • An algebraic expression may contain numbers, variables, and operation symbols.
  • In 4x + 5y + 3, 4x, 5y, and 3 are terms.
  • In 4x + 5y + 3, x and y are variables, 4 and 5 are coefficients, and 3 is a constant.
2

2. Linear polynomials, linear equations, and input-output form

  • Polynomials of degree 1 are called linear polynomials.
  • When a linear polynomial in one variable is equated to a constant, a linear equation is formed.
  • A polynomial can be thought of as an input-output process, that is, a function.
3

3. Linear patterns in sequences and word problems

  • The sequence 1, 3, 5, 7, 9, 11, 13 has constant difference 2.
  • The number of square tiles at Stage n is 2n - 1.
  • 2n - 1 is a linear polynomial of degree 1.
4

4. Linear growth and linear decay

  • Linear growth means a quantity increases by a constant amount over equal intervals.
  • Linear decay means a quantity decreases by a constant amount over equal intervals.
  • In Example 9, the journey cost function is C(d) = 100 + 60d.

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Full Notes

Key Concepts

Expressions such as 4xIn 4x + 5y + 3The highest power of the variableA polynomial of degree oneA linear polynomial becomes a linear

Frequently Asked Questions

What are the important topics in Introduction to Linear Polynomials for CBSE Class 9 Mathematics?
Introduction to Linear Polynomials covers several key topics that are frequently asked in CBSE Class 9 board exams. Focus on the core concepts listed on this page and practise related questions to build confidence.
How to score full marks in Introduction to Linear Polynomials — CBSE Class 9 Mathematics?
Understand the core concepts first, then work through the 105 practice questions available for this chapter. Revise formulas and definitions regularly, and use flashcards for quick recall before the exam.

Sources & Official References

Content is aligned to the official syllabus. Refer to the board website for the latest curriculum.

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