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#### Algebra Important Questions

8th Standard EM

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Maths

Time : 01:30:00 Hrs
Total Marks : 60
4 x 1 = 4
1. The product of 7p3 and (2p2)2 is

(a)

14p12

(b)

28B7

(c)

9p7

(d)

11p12

2. If the area of a square is 36x4y2then, its side is______

(a)

6x4y2

(b)

8x2y2

(c)

6x2y2

(d)

-6x2y

3. If the area of a rectangle is 48m2n3 and whose length is 82mn then, its breadth is______

(a)

6mm

(b)

8m2n

(c)

7m2n2

(d)

6m2n2

4. If the area of a rectangular land is(a2-b2)− sq.units whose breadth is()ab− then, its length is__________

(a)

a-b

(b)

a+b

(c)

a2-b

(d)

(a+b)2

5. 2 x 1 = 2
6. $\cfrac { { 18m }^{ 4 } }{ { 2m }^{ 3 }{ n }^{ 5 } } =\_ \_ \_ { mn }^{ 5 }$

()

$\cfrac { 18{ m }^{ 4 }(n^{ 98 }) }{ 2m^{ (3) }{ n }^{ 3 } } =9mn^{ 5 }$

7. $\cfrac { { 42a }^{ 4 }{ b }^{ 5 }\left( \_ \right) }{ { 6a }^{ 4 }{ b }^{ 2 } } =\left( \_ \right) { b }^{ 3 }{ c }^{ 2 }$

()

$\cfrac { { 42a }^{ 4 }{ b }^{ 5 }\left( c^2 \right) }{ { 6a }^{ 4 }{ b }^{ 2 } } =\left( 7 \right) { b }^{ 3 }{ c }^{ 2 }$

8. 15 x 2 = 30
9. Multiply a monomial by a monomial
6x,4

10. Multiply a monomial by a monomial
a3,-4a2b

11. Multiply a monomial by a monomial
2p2q3, −9pq2

12. Expand 5x(2y− 3)

13. Expand −2p(5p2−3p +7)

14. Find the product of (2x+3)(2x−4)

15. Find the missing term 6xy×_________= −12x3y

16. Divide 27y3 ÷ 3y

17. Expand (3m+5)2

18. Expand (52)3

19. Factorise the following by taking out the common factor 18xy-12yz

20. Factorise the following expressions m2+m−72

21. Factorise the following expressions using a3-b3=(a-b)(a2+ab+b2) identity c3-27b3a3

22. Multiply (4x2+9) and (3x-2)

23. Factorise :(7y2-19y-6)

24. 3 x 3 = 9
25. If the side of a square carpet is 3xmetre, then find its area

26. Multiply 3x2yand (2x3y3−5x2y+9xy)

27. Multiply (2x+5y) and (3x−4y)

28. 3 x 5 = 15
29. Divide (10m2 − 5m)by (2m−1)

30. Factorise : 49x2-64y2

31. Factorise: a3 – 8