document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=200913>Question 200913</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 13). A purse contains one rupee.50 paise and 25paise coins in the         <BR>\n" );
document.write( "        ratio 2:3:4.If the total value of the coins is Rs 90,find the number <BR>\n" );
document.write( "         coins in each denominations.<BR>\n" );
document.write( "14). The digit at tens place of a two digit number is four times the     <BR>\n" );
document.write( "         digit at unit place.If the sum of this number and the number            <BR>\n" );
document.write( "         formed by reversing the digits is 55.Find the number.<BR>\n" );
document.write( "*15).Three prizes are to be given in a quiz contest.The value of the<BR>\n" );
document.write( "         second prize is three fourth of the value of the first prize and <BR>\n" );
document.write( "          four third of the third prize.If the total value of the three prizes<BR>\n" );
document.write( "          is Rs 222.Find the prize value of each prize.     <BR>\n" );
document.write( "  16).The numerator of a fraction is 5 less than the denominator.If 3 <BR>\n" );
document.write( "          is added to both the numerator and the denominator,the new<BR>\n" );
document.write( "           fraction is 2/3.Find the fraction.<BR>\n" );
document.write( "* 17).A man is 40 years old and his son is 12 years old.<BR>\n" );
document.write( "         (i) How many years ago was the man’s age eight times the age<BR>\n" );
document.write( "          of his son?<BR>\n" );
document.write( "          (ii) How many years hence will the age of the man be three <BR>\n" );
document.write( "           times the age of his son?<BR>\n" );
document.write( "  18) . The perimeter of a triangle measures 49cm.The one side is <BR>\n" );
document.write( "           7cm longer than the other and 5cm shorter than the third .<BR>\n" );
document.write( "            Find the length of each side<BR>\n" );
document.write( " *19). A field can be ploughed in 14 days.If 20 hectares of land is <BR>\n" );
document.write( "           ploughed more daily,the work will be finished in 10 days.Find <BR>\n" );
document.write( "            the area of the land which can be ploughed daily.Also find the    <BR>\n" );
document.write( "            area of the field.\r<BR>\n" );
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document.write( "1).  Find the value of 2x3- 3x2 + x – 1 if x = -2.<BR>\n" );
document.write( " 2). If x= 1,y= 2, z= -1,find the value of each of the following        <BR>\n" );
document.write( "       expressions.<BR>\n" );
document.write( "	2xy4 – 15x2y + z            (ii) x3 + y3+ z3 – 3xyz<BR>\n" );
document.write( "(iii)x3 –y3+ z3+ 3xyz                (iv) 4xy2 – 3yz2 + 4x2z<BR>\n" );
document.write( " 3). Add the following expressions<BR>\n" );
document.write( "     (i)x3, ,-3x3,2x3,-4x3                    (ii)2a2- 3ab,5a2 + 4ab<BR>\n" );
document.write( "     (iii) a2+ 2ab + b2,a2 – 2ab + b2,a2- b2<BR>\n" );
document.write( "     (iv) 18a – 10b,-2a + 12b,-10a + 6b<BR>\n" );
document.write( "     (v) 2x2  - 4x- 3,5x-6x2+ 2,6x-3 +5x2<BR>\n" );
document.write( "4). Subtract<BR>\n" );
document.write( "      (i)4a +3b from 2a + 2b – 4      (ii) x2 + y2   from 5x2 + 3y2 + 2<BR>\n" );
document.write( "      (iii) 10a2 -5a from -10a -6a2    <BR>\n" );
document.write( "       (iv) 6x3 – 7x2 + 5x – 3    from  4 – 5x + 6x2 – 8x3<BR>\n" );
document.write( "       (v) x2y -4xy2+ 4xy  from 2x2y + 3xy2-xy<BR>\n" );
document.write( "5).  From the sum of 4x2 -6x + 3 and -4x2 -7x + 5 subtract 3x2-8x + 6.<BR>\n" );
document.write( "6). What should be added to 5x2 + 6x -3 to get 3x + 2?<BR>\n" );
document.write( "7). Multiply<BR>\n" );
document.write( "      (i) 9x2y and 2y2x2                    (ii)  -4/3ab and 3/2 a2c<BR>\n" );
document.write( "      (iii)  x3(x2y + y2x)                       (iv) -8y( 2xy + 3y2)<BR>\n" );
document.write( "      (v)  3/5xy&#8970;1/10 x     -  4/7 y&#8971;               (vi) xyz(4y2 + 9x2)\r<BR>\n" );
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document.write( "8.Simplify<BR>\n" );
document.write( "i) p^2 (p^2    - q^2 )  + q^2 (p^2  - q^2 )<BR>\n" );
document.write( "ii)a(b-c)  - b(c –a) – c(a – b)<BR>\n" );
document.write( "iii)xy^2 (4xy -2x^2 )- x^3 y( 1-2y)+ x^2 y(x- y^2 )<BR>\n" );
document.write( "9. Find the products<BR>\n" );
document.write( "i) (x + a)( x + b)<BR>\n" );
document.write( "ii) (9x + 5y)(3x – 2y)<BR>\n" );
document.write( "iii)(2x^2- 1)(4x^2+ 5x)<BR>\n" );
document.write( "iv) (3x2 + 7y)(5x – 6y)<BR>\n" );
document.write( "v)(3/5 xy+ 5/2 y^2 z)(2x-3yz)<BR>\n" );
document.write( "10. Find the products and verify the results for x = 1 and y = -2<BR>\n" );
document.write( "i)(7xy + 4y^2  )(3y^2+ 8x^2)<BR>\n" );
document.write( "ii)(11y + 7x^2)(1/2 x^(3 )+ xy))<BR>\n" );
document.write( "iii)(9x +  1/2 y^3 )(x^(3 )– y^3 )<BR>\n" );
document.write( "11.Simplify<BR>\n" );
document.write( "i)3x2  + 4x(3x – 4y)  - 20 xy<BR>\n" );
document.write( "ii)8ab x 2 b2 + 7a2b x (5y – 3x)<BR>\n" );
document.write( "iii)1/5 ( 5x^(2  )+ 10y^2 )(x^2  – y^2 )<BR>\n" );
document.write( "iv)(2x + y) (1 + 4x + 3y)  - 6x (x + y)<BR>\n" );
document.write( "v)(3y + 5x – 7)(x -1) – (y -2x + 3) (x + 4)<BR>\n" );
document.write( "12.)Multiply<BR>\n" );
document.write( "i) (x + y ) and (x2 – xy + y2)                 ii)(2a + 3) x 5a x (-a +  1)<BR>\n" );
document.write( "iii)1/(2 ) m    x  (8m -6) x ( 4 – 12 m)   </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #151180 by </B><A HREF=/tutors/aboutme.mpl?userid=solver91311><B>solver91311(24713)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=solver91311><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/cgi-bin/show-face.mpl?user=solver91311><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=151180\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Sorry, we don't do entire assignments.  One problem per post, 4 posts per day. </SPAN>\n" );
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