Class 9 Maths Ganita Manjari Chapter 2 MCQ – Introduction to Linear Polynomials

Class 9 Maths Ganita Manjari Chapter 2 MCQ – Introduction to Linear Polynomials, based on the latest NCERT curriculum for Session 2026-27. Multiple choice questions are one of the most effective tools for self-assessment, as they test conceptual clarity, eliminate guesswork habits and closely mirror the question formats used in school examinations, competitive tests and Olympiads. This MCQ set covers every major topic from Chapter 2, including identifying the degree of a polynomial, distinguishing between linear, quadratic, cubic and constant polynomials, evaluating polynomials at given values, solving word problems using linear equations, recognising linear patterns and sequences.
Ganita Manjari Chapter 2 MCQ section also describes understanding linear growth and linear decay, finding the linear relationship y = ax + b from given data and interpreting the slope and y-intercept from straight-line graphs. Each question is carefully aligned with the examples, exercises and “Think and Reflect” prompts from the Ganita Manjari textbook (Grade 9, Part I), ensuring that students practise exactly what the 2026-27 syllabus demands. Whether you are a student preparing for your school exam, a teacher looking for ready-made assessment material, or a parent tracking your child’s progress, this MCQ page is designed to be a complete, one-stop practice resource for Chapter 2.

Q1. What is an algebraic expression?

[A]. A number only
[B]. A combination of numbers and variables with operations
[C]. Only variables
[D]. Only equations

Q2. In the expression 4x + 5y + 3, what are x and y called?

[A]. Constants
[B]. Variables
[C]. Terms
[D]. Coefficients

Q3. What is the coefficient of x in 4x + 5y + 3?

[A]. 3
[B]. 5
[C]. 4
[D]. x

Q4. What is the constant term in 4x + 5y + 3?

[A]. 4x
[B]. 5y
[C]. 3
[D]. x

Q5. What is the degree of the polynomial x² + 5x + 1?

[A]. 1
[B]. 2
[C]. 3
[D]. zero

Q6. Which of the following is a linear polynomial?

[A]. x² + 1
[B]. 3x + 7
[C]. x³ + 2
[D]. 5x² – x

Q7. What is the degree of a constant polynomial like 8?

[A]. 1
[B]. 2
[C]. zero
[D]. Undefined

Q8. Which expression represents the area of a rectangle with length x and width (10 – x)?

[A]. x + 10
[B]. x(10 – x)
[C]. 10x + x²
[D]. x² – 10

Q9. What is the highest power in 5y³ + y² + 2y – 1?

[A]. 1
[B]. 2
[C]. 3
[D]. 4

Q10. What type of polynomial is x² + 5x + 1?

[A]. Linear
[B]. Quadratic
[C]. Cubic
[D]. Constant

Q11. What is the perimeter of a square with side x?

[A]. x²
[B]. 2x
[C]. 4x
[D]. x + 4

Q12. If a club charges ₹200 plus ₹50 per match, what is the cost for m matches?

[A]. 200m
[B]. 50m
[C]. 200 + 50m
[D]. 250m

Q13. What is a linear pattern?

[A]. Random numbers
[B]. Constant multiplication
[C]. Constant difference between terms
[D]. No pattern

Q14. What is the next number in the sequence 1, 3, 5, 7?

[A]. 8
[B]. 9
[C]. 10
[D]. 11

Q15. What is the formula for the nth term in the pattern 1, 3, 5, 7…?

[A]. n + 1
[B]. 2n – 1
[C]. n²
[D]. 2n + 1

Q16. What is a linear equation?

[A]. Polynomial of degree 2
[B]. Polynomial equal to a constant
[C]. Expression without variables
[D]. Constant expression

Q17. Solve: x + (x + 10) = 64. What is x?

[A]. 20
[B]. 27
[C]. 30
[D]. 32

Q18. What is the value of 2x + 3 when x = 4?

[A]. 8
[B]. 9
[C]. 10
[D]. 11

Q19. What type of function is 2x + 3?

[A]. Quadratic
[B]. Linear
[C]. Cubic
[D]. Constant

Q20. What happens in linear growth?

[A]. Quantity decreases
[B]. Quantity stays same
[C]. Quantity increases by fixed amount
[D]. Quantity doubles

Q21. What happens in linear decay?

[A]. Quantity increases
[B]. Quantity decreases by fixed amount
[C]. Quantity doubles
[D]. Quantity becomes zero

Q22. If C(d) = 100 + 60d, what is C when d = 2?

[A]. 160
[B]. 200
[C]. 220
[D]. 240

Q23. What is the slope in y = ax + b?

[A]. b
[B]. x
[C]. a
[D]. y

Q24. What is the y-intercept in y = ax + b?

[A]. a
[B]. x
[C]. b
[D]. y

Q25. Where does the line y = ax pass?

[A]. Through (1,1)
[B]. Through origin
[C]. Through (0,1)
[D]. Through (1,0)

Q26. What is the slope of y = 2x?

[A]. 1
[B]. 2
[C]. zero
[D]. –2

Q27. Which line is steeper?

[A]. y = x
[B]. y = 2x
[C]. y = ½x
[D]. All equal

Q28. What happens when slope is negative?

[A]. Line rises
[B]. Line is flat
[C]. Line falls
[D]. No change

Q29. What is the y-intercept of y = 3x – 2?

[A]. 3
[B]. –2
[C]. 2
[D]. 0

Q30. What is true for parallel lines?

[A]. Same intercept
[B]. Same slope
[C]. Different slopes
[D]. No relation