#### Algebra Model Question Paper

9th Standard

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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