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Algebra Model Question Paper

9th Standard

    Reg.No. :
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Maths

Time : 01:00:00 Hrs
Total Marks : 50
    5 x 1 = 5
  1. The sum of \({ 5x }^{ 2 };-7x^{ 2 };8x^{ 2 };11x^{ 2 }\quad and\quad -9x^{ 2 }\) is _________________________

    (a)

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

    (b)

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

    (c)

    \(6{ x }^{ 2 }\)

    (d)

    \(8{ x }^{ 2 }\)

  2. 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)

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

  3. The value of the polynomial f(x)=6x-3x2+9 when x=-1 is _____________________

    (a)

    0

    (b)

    1

    (c)

    2

    (d)

    3

  4. Divide x3-4x2+6x by "x" the result is _____________________

    (a)

    \(x^{ 2 }+4x-6\)

    (b)

    \(x^{ 2 }-4x-6\)

    (c)

    \(x^{ 2 }-4x+6\)

    (d)

    \(x^{ 2 }+4x+6\)

  5. Degree of the .linear polynimial is ________

    (a)

    1

    (b)

    2

    (c)

    3

    (d)

    4

  6. 5 x 2 = 10
  7. Factorise the following : 25m-2-16n2

  8. Factorise the following : x- 9x2

  9. Solve using the method of substitution.
    5x - y = 5 , 3x +y = 11

  10. Find the value of s for the following system of equa~on has infinitely many
    solutions. 2x - 3y = 7; (s +2) x - (2s + l)y = 3(2s -1)

  11. Solve by cross multiplication method.
    37a + 29b = 45 ; 29a + 37b = 21

  12. 5 x 3 = 15
  13. The perimeter of a triangle is 8m2 - 9m+ 7. If the two sides of the triangel be m2 - m + 6 and 3m2 - 2m - 4, find the third side.

  14. The area of a rectangle is x4 + 9x2 + 20 sq. units and its length is x2 + 4 units. Find its breadth in term of x.

  15. Expland the following using identities : (4m-3m)2

  16. Expland the following using identities :(4a+3b) (4a-3b)

  17. Factorise 6x2+ 17x + 12

  18. 4 x 5 = 20
  19. Find the quotient and remainder when  5x3 - 9x2 + 10x + 2 is divided by x + 2 using synthetic division

  20. Find the quotient and remainder when 4x3 + 6x2 + 7x + 2 is divided by x - 2

  21. Find the quotient and remainder when 5x3 + 7x2 + 3x + 2 is divided by 3x + 2

  22. Factorise  2x3- x2 - 12x - 9 into linear factors
     

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