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Introduction to Linear Polynomials — Revision Notes

CBSE · Class 9 · Mathematics

Introduction to Linear Polynomials revision notes for CBSE Class 9 Mathematics: 4 topics in quick points. Part of the CBSE Class 9 Mathematics syllabus.

105 questions80 flashcards10 formulas & key relations5 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?
Key topics in Introduction to Linear Polynomials include Algebraic expressions and one-variable polynomials, Linear polynomials, linear equations, and input-output form, Linear patterns in sequences and word problems, Linear growth and linear decay. Study these first, then practise questions on each for Class 9 exams.
How should I revise Introduction to Linear Polynomials for Class 9 exams?
Learn the core ideas first, then work through the 105 practice questions on Introduction to Linear Polynomials. Revise 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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All CBSE Class 9 Mathematics Revision Notes

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