MIME-Version: 1.0 Content-Type: multipart/related; boundary="----=_NextPart_01C9C8B7.BE585480" This document is a Web archive file. If you are seeing this message, this means your browser or editor doesn't support Web archive files. For more information on the Web archive format, go to http://officeupdate.microsoft.com/office/webarchive.htm ------=_NextPart_01C9C8B7.BE585480 Content-Location: file:///C:/213799D4/Sample-4.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" Test 1 Math 113

Sample Test 4 Math 123a

1.  Simplify and leave the answer in positive exponent.


2. Expand and simplify.

A.   (3x 2 – 5x  + 8) + ( 2 – 2x= 2 )      B.  3( 3x 2 = – 5x  + 8) – 2( 2 <= /span>– 2x 2 )        =       

      Ans: x2 – 5x + 10        =             &nb= sp;        Ans: 13x2 – 15x + 20        =     

3.  Multiply, expand and simplify.

A.  3= x( 4x – 2) + (6 – 5x)        =             &nb= sp;           B.    xy(5x &= #8211; 2y)        =             &nb= sp;   

      Ans: 12x2 – 11x + 6        =             &nb= sp;             Ans: 5x2y – 2xy2

C.  (x + 6)(2x – 3)        =             &nb= sp;            =            D.  ( 2x – 5 )( x + 2) + ( x – 1 )( 3x + 2 )

      Ans: 2x2 + 9x – 18        =             &nb= sp;            =     Ans: 5x2 – 2x – 1= 2        =     

E.  <= /span>–<= span style=3D'font-size:12.0pt;mso-bidi-font-size:10.0pt'> ( x – 1)( 3x + 2 )        =            =             &nb= sp;      F.  ( 3x &#= 8211; 2 ) 2        =             &nb= sp;            =           

      An= s: –3x2 + x + 2        =             &nb= sp;            =       Ans: 9x2 – 12x + 4        =     

G.  (4x – 5)(4x + 5)        =             &nb= sp;            =          H.  ( 3x 2 – 5x  + 8)( 2x – 3)

      Ans: 16x2 – 25        =             &nb= sp;            =           Ans: 6x3 – 19x2 + 31x – 24        =     

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4.  Expand and simplify:

a.  – (x –1) (2x–3)        =                      =           <= span style=3D'font-size:12.0pt;mso-bidi-font-size:10.0pt'>b.  – (2x –3)(4x–3)        =           

      Ans: –2x2 + 5x – 3        =             &nb= sp;             Ans: –8x2 + 18x – 9        =     

c.  (x–2)(3x–1) – (x +1)(2x–3)        =             d.  (4x–3)(x–1) – (2x –3)(<= /span>x–3)        =            

      Ans:  x<= sup>2 – 6x + 5        =             &nb= sp;            =   Ans: 2x2 + 2x – 6        =     

e. (2x+3)(x–2) – (x –3)(x–3)        =             &nb= sp;  f.  (4x–3)2<= /sup> – (2x –3)2

      Ans: x2 + 5x – 15        =             &nb= sp;             Ans: 12x2 – 12x

g. (2x–3)(3x–1) – (x–3)2        =             &nb= sp;         h. (–x–3)(3x–1) – (5x +1)(2x–3)

      Ans: 5x2 – 5x – 6        =             &nb= sp;             Ans: –13x2 + 5x + 6

i. =  (2x–3)(x+1) – (x –1)(x–3)         =             &nb= sp;  j. (x–3)(2x–= 1) – (x –1)(2x+1)  

      Ans: x2 + 3x – 6        =             &nb= sp;            =   Ans: – 6x + 4

k.  (<= /span>2x–3)(x+1)(xR= 11;3)         =             &nb= sp;            =    l. (2x–1)(x –1)(2x+1)

      Ans: x3 – 7x2 + 9        =             &nb= sp;             Ans: 4x3 – 2x2 – x + 1

5.  Factor completely.

 = A. 3X + 15Y        =             &nb= sp;            =             &nb= sp;  B.  12x3 = 211; 4x2 – 8x        =             &nb= sp;            =          

      Ans: 3(X + 5Y)        =             &nb= sp;            =       Ans: 4x(3x2 – x – 2)

C. 25x2y2 –15x2y3+= 40x3y2<= span style=3D'mso-spacerun:yes'>        =             &nb= sp;   D. 50x3y4= – 35x2y3= + 45x4y3=

      Ans: 5x2y2(5 – 3y + 8x)        =                     = Ans: 5x2y3 (10xy – 7 + 9x2)

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