ASSIGNMENT CLASS VII – MATHEMATICS - Algebraic expressions and Applications of Percentage

Simplify each of the following algebraic expressions:

1.   (a² +b² +2ab)-(a² +b²-2ab)

2.    -5 (a+b) + 2(2a-b)+4a-7

3.      –m – [ m+{m+n-2m-(m-2n)}-n]

4.      85-[ 12x-7(8x-3)-2{10x-5(2-4x)}]

5.      4(a²+b²+2ab) –[4(a²+b²-2ab)-{b³+(a-3)}]

6.       5+[x-{2y-(6x+y-4)+2x²}-(x²-2y)]

7.       4(x+y)- 2(x-y)-8(x+y)

8.       2(x+y+z) -4(y-x)-6(-x-y)

9.  Simplify and verify the results for (a²-ab+b²) (a+b)   if a= -1;b=0

    Factorise:

11.   2(a+b) (4p+q) + 4(a+b)(p+q)

12.   xy+bcxy-z-bcz

13.   lm+ mn+nl+n²

14.   abc+2a²b²c2 + 1 + 2abc

15.   -8z(x+y) + 64 z²(x+y)²

16.  Amirshand bought a lot of woolen garments from    Ludhiana at a cost of Rs 65,000. He wants to make 15% profit. What should be the selling price of the whole lot?

17.  Rs. 30,000 were lent to Amit and sanjeev at 6% per annum    for a period of 3 years and 5 years respectively. Find the  difference of interests paid by them.

18.  A book seller bought 2,400 pencils at Rs 15 a dozen. He sold 1,050 of them at 5 for Rs 8 and remaining at 1 for Rs 2. Find his gain or loss percent.

19.  A man bought 2 tables for 4000 each. If he sells one at a  loss 5% and one at a profit of 6% find his net gain or loss.

20.  Leena bought a wooden box for Rs 2000. And spend  Rs. 200 on varnishing, further she spend Rs100 on    transporting the box. If she sells it for Rs 3000 find Leena’s  profit or loss percentage.        

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