Algebra Important Questions

9th Standard

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Maths

Time : 01:00:00 Hrs
Total Marks : 50
    7 x 1 = 7
  1. If x3 + 6x2 + kx + 6 is exactly divisible by (x + 2), then k= ?

    (a)

    -6

    (b)

    -7

    (c)

    -8

    (d)

    11

  2. The type of the polynomial 4–3x3 is

    (a)

    constant polynomial

    (b)

    linear polynomial

    (c)

    quadratic polynomial

    (d)

    cubic polynomial.

  3. The sum of the polynomials p(x) = x3 – x2 – 2, q(x) = x2–3x+ 1

    (a)

    x3 – 3x – 1

    (b)

    x3 + 2x2 – 1

    (c)

    x3 – 2x2 – 3x

    (d)

    x3 – 2x2 + 3x –1

  4. The product of the polynomials p(x) = 4x –3 q(x) = 4x + 3

    (a)

    1 – x – 8

    (b)

    16x2 – 9

    (c)

    18x3 + 12x2 – 12x – 8

    (d)

    18x3 – 12x2 + 12x + 8

  5. The Auto fare is found as minimum rs 25 for 3 kilometer and thereafter rs12 for per kilometer. Which of the following equations represents the relationship between the total cost ‘c’ in rupees and the number of kilometers n?

    (a)

    c = 25 + n

    (b)

    c = 25 + 12n

    (c)

    c = 25 + (n–3)12

    (d)

    c = (n–3)12

  6. Which of the following is trinomial?

    (a)

    -7z

    (b)

    \({ z }^{ 2 }-{ 4y }^{ 2 }\)

    (c)

    \({ x }^{ 2 }y-{ xy }^{ 2 }+y\)

    (d)

    \(12a=9ab+5b-3\)

  7. The roots of the polynominal equation \({ x }^{ 2 }+2x=0\)are_______________

    (a)

    x=0, 2

    (b)

    x=1, 2

    (c)

    x=1, -2

    (d)

    x=0, -2

  8. 3 x 1 = 3
  9. The coefficient of -5x is ___________

    ()

    -5

  10. 7x - 5y + 3 has __________ terms

    ()

    3

  11. The degree of polynomial 5x2y + 3x3y2 + 3xy +7 is ____________

    ()

    5

  12. 6 x 2 = 12
  13. Which of the following expressions are polynomials. If not give reason: \(\frac { 1 }{ { x }^{ 2 } } +3x-4\)

  14. Which of the following expressions are polynomials. If not give reason: \({ m }^{ 2 }-\sqrt [ 3 ]{ m } +7m-10\)

  15. Write the coefficient of xand x in each of the following polynomials \({ \pi x }^{ 2 }-x+2\)

  16. Find the roots of the following polynomial equations: 5x – 3 = 0

  17. Check whether p(x) is a multiple of g(x) or not 
    p(x) = 2x3-11x2-4x+3 ; g(x) = 2x + 3

  18. Factorise the following : 25m-2-16n2

  19. 6 x 3 = 18
  20. Find the degree of each term for the following polynomial and also find the degree of the polynomial
    6ab8+5a2b3c2-7ab+4b2c+2 

  21. Let p(x)=4x2-3x+2x3+5 and q(x)=x2+2x+4 find p(x)-q(x)

  22. Find the degree of the following polynomials 3x4+9x2+27x6

  23. Write the Variable, Coefficient and Constant in the given algebraic expression

    Expression x +7 3y -2 5x2 2xy + 11 -1/2 p+7  - 8 + 3a
    Variable x     x,y    
    Coefficient 1       -1/2 -8
    Constant 7          
  24. Identify monomials, binomials and trinomial from the following expression.
    (i) -8 abc
    (ii) 3a2bc+8-9a2
    (iii) -9
    (iv) a2+b2+c2-k2
    (v) a+b
    (vi) 7ab3
    (vii) -z+\(\sqrt{3}\)z3

  25. Show that (x-3) is a factor of x+ 9x- x - 105

  26. 2 x 5 = 10
  27. Find the product (4x – 5), (2x2 + 3x – 6).

  28. The length of a rectangle is (3x+2) units and it’s breadth is (3x–2) units. Find its area in terms of x. What will be the area if x = 20 units.

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