MIME-Version: 1.0 Content-Type: multipart/related; boundary="----=_NextPart_01CE1B1E.2E5C41D0" This document is a Single File Web Page, also known as a Web Archive file. If you are seeing this message, your browser or editor doesn't support Web Archive files. Please download a browser that supports Web Archive, such as Windows® Internet Explorer®. ------=_NextPart_01CE1B1E.2E5C41D0 Content-Location: file:///C:/236D22B3/A1H3rdGradingpdexamrev1withanswers.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" 3rd grading period rev

Simplify

1.&n= bsp;            = ;           (-3)2 =3D ____  -3 * -3 =3D 9

2.&n= bsp;            = ;           3-1 =3D ____    <= !--[if gte msEquation 12]>13       a ne= gative exponent does not mean a negative number, it means reciprocal – move = it to the other part of the fraction

3.&n= bsp;            = ;            =3D ____   3<= /span>

4.&n= bsp;            = ;            =3D _____ 1

5.&n= bsp;            = ;            =3D ____  1    any nonzero number to = the zero power is one

6.&n= bsp;            = ;            =3D ____  93<= /sup> =3D 9 * 9 * 9 =3D 729<= o:p>

7.&n= bsp;            = ;           01 + 02 + 03 + 04 + 05 =3D ______<= span style=3D'mso-spacerun:yes'>  0     zero to any power except zero is still zero

8.&n= bsp;            = ;           11 + 12 + 13 + 14 + 15 =3D ______<= span style=3D'mso-spacerun:yes'>  5     one to any power= is still one

9.&n= bsp;            = ;           100 + 101 + 102 + 103 + 104 =3D ___= ___ 10, 000 + 1,000 + 100 + 10 + 1 =3D 11,111

10.&= nbsp;           &nbs= p;       =  =3D _______   x<= sup>2y  

11.&= nbsp;           &nbs= p;       =  =3D _____ 

12.&= nbsp;           &nbs= p;        =3D __  

13.&= nbsp;           &nbs= p;        =3D ___

14.&= nbsp;           &nbs= p;        =3D ____ 

15.    =3D _____ 1

Multiply and simplify  (FOIL)

16.<= span style=3D'font:7.0pt "Times New Roman"'>   (x + 3)(x + 5) =3D  _____  x2<= /sup> + 8x + 15

17.<= span style=3D'font:7.0pt "Times New Roman"'>   (x + 6)(x – 2) =3D  ______ = x2 + 4x - 12

18.<= span style=3D'font:7.0pt "Times New Roman"'>   (x - 8) ( x + 8) =3D ______ x2 - 64

19.<= span style=3D'font:7.0pt "Times New Roman"'>   (x + 9)(x + 1) =3D ______ x2 + 10x + 9

20.<= span style=3D'font:7.0pt "Times New Roman"'>   (x + 2)(x + 6) =3D  _____ x2 + 8x + 12=             <= /span>

21.<= span style=3D'font:7.0pt "Times New Roman"'>   (x - 8)(x + 3) =3D ______ x2 – 5x -= 24

22.<= span style=3D'font:7.0pt "Times New Roman"'>   (x - 5)(x – 1) =3D ______ x2 -6x + = 5

23.<= span style=3D'font:7.0pt "Times New Roman"'>   (x - 5) ( x + 3) =3D _____ x2 – 2x = - 15

Use the zero product property to find the zeroes of the function.
  1. (x + 5)(x + 7) =3D 0;    (-5 , 0) or (-7 , 0)
  2. (x + 6)(x + 1) =3D 0;   (-6 , 0) or (-1  , 0)
  3. (x + 8)(x – 2) =3D 0;   ( -8 , 0) or (2 , 0)
  4. (x - 7) ( x + 7) =3D 0;   ( 7 , 0) or (-7  , 0)
  5. (x + 7)(x + 2) =3D 0;    ( -7 , 0) or (-2 , 0)
  6. (x + 5)(x + 7) =3D 0;    ( -5 , 0) or (-7  , = 0)
  7.  (x - 3)(x – 1) =3D 0;  (3<= span style=3D'mso-spacerun:yes'>  , 0) or (1  , 0)
  8. (x - 4) ( x + 3) =3D 0;  ( 4= , 0) or (-3  , 0)

Factor into two binomials.=   


  1.  =3D ( x + 10) (x + 2)           &nb= sp;  
  2.    =3D (x - 4) (x - 7)  
  3.    =3D (x - 3) (x - 9)  
  4.    =3D (x - 9) (x - 2)   
  5.    =3D NOT (x + 1) (x + 9)  NOR (x + 3)(x + 3)       &= nbsp;    this is not factorable <= /span>
  6.    =3D (x - 10) (x + 1 )           &nb= sp;     

Find the y-intercept
  1.    &n= bsp;            (  0,= -6  )
  2.                   &= nbsp;  (  0,= 20  )
  3.        (  0,= -6  )            = ;   
  4.           &n= bsp;    ( 0,= 6  )
  5.           &n= bsp;    (  0,  7  )
  6.           = ( 0, 10  )
  7.           &n= bsp;  (  0, -10   )
  8.           &n= bsp;  ( 0,= -10 )
  9.           &n= bsp;  (  0,  20 )
  10.         &n= bsp;  (  0, 16  )

Solve.

        =             &nb= sp;           Add the equations to get 2x =3D 2 and so x= =3D 1

        =             &nb= sp;           1 – y =3D 7    so –y =3D 6 and = y =3D -6

         (1, -6) is the solution      check:    1 + -6 =3D -5

=  

     &= nbsp;         =             &nb= sp;    Divide the second equation by 3 to get x – 2y =3D 3

        =             &nb= sp;          So  x – y =3D 4  and x –= 2y =3D 3  so subtract the equations

        =             &nb= sp;         To get  y =3D 1

        =             &nb= sp;         x – 1 =3D 4 tells us that x =3D 5 so the solution is (5, 1)

=  

  1.    

        =             &nb= sp;          Multiply the first equation by 2 to get 2x= + 2y =3D -6

        =             &nb= sp;          Now add the equations   to get 5x =3D 20  and so x =3D 4

        =             &nb= sp;          4 + y =3D -3 and y =3D -7

        =             &nb= sp;         (4, -7) is the solution       check:  3*4 – 2* = -7 =3D 26 gives us 12 + 14 =3D 26

 

        =             &nb= sp;      Substitute 4x for y to get &nb= sp; x + 4x =3D 25&n= bsp; means 5x =3D 25 and so x =3D 5

        =             &nb= sp;       y =3D 4 * 5 =3D 20

        =             &nb= sp;       (5, 20) is the solution             check= :   5 + 20 =3D 25

        =             &nb= sp;            =         You can add the equations to get 3x =3D 0 and so x =3D 0 and then y = =3D 0

        =             &nb= sp;            =          The solution is (0, 0)

        =             &nb= sp;                   =   You should also note that anytime an equation in standard form Ax + By =3D C wh= ere C =3D 0, it goes through (0,0)

        =             &nb= sp;             Substitute 5x + 9 to get 2x – (5x + 9) =3D 0  which gives 2x – 5x &= #8211; 9 =3D 0

     &= nbsp;         =             &nb= sp;      Now we have -3x =3D 9 which means that x =3D -3

        =             &nb= sp;             y =3D 5 * -3 + 9 =3D -15 + 9 =3D -6

        =             &nb= sp;            (-3, -6) is the solution        =             &nb= sp;   check:  2* -3 - -6 =3D = -6 - -6 =3D 0

        =             &nb= sp;   Divide the second equation by 3 to get x – y =3D 0  and then x =3D y=

        =             &nb= sp;            =          These equations represent lines that coincide and there are infinite solutions

 

        =             &nb= sp;             Divide the first equation by 3 to get 3x + y =3D 2=

        =             &nb= sp;            Now multiply that equation by 7 to get 21x + 7y =3D 14

        =             &nb= sp;            =             &nb= sp;            =             &nb= sp;            =            =   10x + 7y =3D -8

        =             &nb= sp;            Now subtract these equations to get     11x =3D 22   and x =3D 2

        =             &nb= sp;            This tells us that 18 + 3y =3D 6 and then 3y =3D -12  and so y =3D -4<= /span>

        =             &nb= sp;           (2, -4) is the solution        =             &nb= sp;         check:  10 * 2 + 7 * -4= =3D 20 + -28 =3D -8

        =             &nb= sp;            =           Add the equations to get 3x =3D 12   and then x =3D 4   and so y =3D 3

        =             &nb= sp;            =         (4, 3) is the solution        =             &nb= sp;            =          check: 2 * 4 – 3 =3D 8 – 3 =3D 5

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Algebra 1H: linear equations           &nb= sp;            =             &nb= sp;    3-7-12        &= nbsp;           &nbs= p;     Name ______________________

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