Algebra - Important Question Paper

9th Standard

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Maths

Time : 01:00:00 Hrs
Total Marks : 50

    Part A

    10 x 1 = 10
  1. If x3 + 6x2 + kx + 6 is exactly divisible by (x + 2), then k= ?

    (a)

    -6

    (b)

    -7

    (c)

    -8

    (d)

    11

  2. The root of the polynomial equation 2x + 3 = 0 is

    (a)

    \(\frac{1}{3}\)

    (b)

    \(-\frac{1}{3}\)

    (c)

    \(-\frac{3}{2}\)

    (d)

    \(-\frac{2}{3}\)

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

    (a)

    constant polynomial

    (b)

    linear polynomial

    (c)

    quadratic polynomial

    (d)

    cubic polynomial.

  4. x3 – x2 is a …………..

    (a)

    monomial

    (b)

    binomial

    (c)

    trinomial

    (d)

    constant polynomial

  5. If x51 + 51 is divided by x + 1, then the remainder is

    (a)

    0

    (b)

    1

    (c)

    49

    (d)

    50

  6. Degree of the polynomial (y3–2)(y3 + 1) is

    (a)

    9

    (b)

    2

    (c)

    3

    (d)

    6

  7. Let the polynomials be (A)–13q5 + 4q2 + 12q (B)(x2 +4 )(x2 + 9) (C)4q8 – q6 + 2 (D)-\(\frac {5}{7}\)y12+y3+y5
    Then ascending order of their degree is

    (a)

    A,B,D,C

    (b)

    A,B,C,D

    (c)

    B,C,D,A

    (d)

    B,A,C,D

  8. Which of the following is a monomial?

    (a)

    \({ 4x }^{ 2 }\)

    (b)

    \(a+b\)

    (c)

    \(a+b+c\)

    (d)

    \(a+b+c+d\)

  9. Which of the following is trinomial?

    (a)

    -7z

    (b)

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

    (c)

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

    (d)

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

  10. The area of a rectangle with length \(2l^{ 2 }m\) and breadth \(3l^{ 2 }m\) is_______________________

    (a)

    \(6l^{ 3 }m^{ 3 }\)

    (b)

    \(l^{ 3 }m^{ 3 }\)

    (c)

    \(2l^{ 3 }m\)

    (d)

    \(4l^{ 3 }m^{ 3 }\)

  11. Part B

    6 x 2 = 12
  12. Which of the following expressions are polynomials. If not give reason: \({ m }^{ 2 }-\sqrt [ 3 ]{ m } +7m-10\)

  13. Write the coefficient of xand x in each of the following polynomials \({ 4+\frac { 2 }{ 5 } x^{ 2 }-3x }\)

  14. Write the coefficient of xand x in each of the following polynomials \(6-{ 2x }^{ 2 }+3x^{ 3 }-\sqrt { 7 } x\)

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

  16. Check whether –3 and 3 are zeros of the polynomial x2 – 9

  17. Find the value of the polynomial f (y) =  6y - 3y2 + 3 at y = 1

  18. Part C

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

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

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

  22. Rewrite the following polynomial in standard form.
    \(7{ x }^{ 3 }-\frac { 6 }{ 5 } { x }^{ 2 }+4x-1\)

  23. Rewrite the following polynomial in standard form.
    \({ y }^{ 2 }+\sqrt { 5 } { y }^{ 3 }-11-\frac { 7 }{ 3 } y+{ 9y }^{ 4 }\)

  24. Add the following polynomials and find the degree of the resultant polynomial.
    p(x)=6x2-7x+2 q(x)=6x3-7x+15

  25. Part D

    2 x 5 = 10
  26. The area of a rectangle is x2 + 7x + 12. If its breadth is (x+3), then find its length.

  27. The base of a parallelogram is (5x+4). Find its height, if the area is 25x2–16.

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