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1. What is the equa-on of the line that passes through (3, 2) and (0, – 5)? (wri@en in slopeintercept form)
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1.##Whatis#the#equaon#of#the#line# thatpasses#through#(3 ...

Dec 18, 2021

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Page 1: 1.##Whatis#the#equaon#of#the#line# thatpasses#through#(3 ...

1.    What  is  the  equa-on  of  the  line  that  passes  through  (3,  2)  and  (0,  –5)?  (wri@en  in  slope-­‐intercept  form)  

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2.    Use  the  graph  to  iden-fy  two  consecu-ve  integers  between  which  a  root  lies.    

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3.  Find  the  slope  of  the  line  that  passes  through  (5,  6)  and  (2,  1).    

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4.    Solve  6r2  –  14r  –  15  =  0  by  using  the  Quadra-c  Formula.  Round  to  the  nearest  tenth.    

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5.  Find  the  coordinates  of  the  vertex  of  the  graph  of  y  =  3x2  +  2x.        

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6.  Find  the  sixth  term  of  the  geometric  sequence  –16,  40,  –100,  …  .        

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7.  Write  the  slope-­‐intercept  form  of  an  equa-on  for  the  line  that  passes  through  (4,  0)  and  is  parallel  to  the  graph  of  3y  –  6x  =  4.        

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8.  Find  (2x  –  1)(3x  +  2).        

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9.  Which  point  lies  on  the  line  given  by  y  =  2x  –  3?        

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10.    What  binomials  are  factors  of  15xt2  –  t  –  6?    

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11.  Write  an  equa-on  in  func-on  nota-on  for  the  rela-on.        

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12.    Simplify  (mt2)(m3)(m2t)    

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13.  If  f(x)  =  x2  +  4x  –  5,  find  f(–8).        

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14.  Solve  the  propor-on    n500

=240

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15.  Write  y  –  11  =  ½  (x  –  12)  in  standard  form.        

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16.  Two-­‐thirds  of  a  number  added  to  itself  is  20.  What  is  the  number?        

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17.  Wesley  carves  whistles  out  of  wood  and  sells  them  at  a  giY  shop.    The  equa-on  C  =  2n  +  15  models  his  weekly  cost  C  of  making  n  whistles.  The  equa-on  R  =  5n  models  his  weekly  revenue  R  from  selling  n  whistles.  How  many  whistles  must  Wesley  make  and  sell  for  his  cost  and  revenue  to  be  equal?        

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18.  The  student  council  is  selling  candy  bars  to  earn  money  towards  their  budget  for  the  school  dance.  Iden-fy  the  independent  and  dependent  variables.        

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19.  Write  a  direct  varia-on  equa-on  that  relates  x  and  y  if  y  =  10  when    x  =  12.        

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20.    Simplify                                  .    (3x2y

5zy4)3

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21.  The  equa-on                                              relates  the  temperature  in  degrees  Fahrenheit  F  to  degrees  Celsius  C.  If  the  temperature  is  25°C,  what  is  the  temperature  in  degrees  Fahrenheit?        

C = F −321.8

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22.  What  number  should  be  inserted  into  the  table  for  the  data  to  display    exponen-al  behavior?        

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23.  Simplify  3mt(2m2  –  3mt  +  t2).        

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24.  Completely  factor  16  –    n4.        

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25.  Solve  2(5x  –  4)  ≥  7(x  –  2).        

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26.  Which  ordered  pair  is  not  a  solu-on  of  4x  –  8y  ≥  24?        

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27.    Which  equa-on  is  equivalent  to  2r2  –  28r  +  38  =  0?        

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For  Ques)ons  28  and  29,  use  the  arithme)c  sequence  2,  5,  8,  11,  .  .  .  .    28.  Which  is  an  equa-on  for  the  nth  term  of  the  sequence?        

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29.  What  is  the  20th  term  in  the  sequence?      

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30.    Solve  x2  –  14x  +  49  =  64.    

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31.  Armando  collects  baseball  cards.  He  currently  has  48  cards,  and  buys  5  new  cards  a  week.  How  many  cards  will  Armando  have  in  10  weeks?        

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32.  If  3x  +  2y  =  9  and  3x  +  3y  =  6,  what  is  the  value  of  x?    

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33.  Find    (3g2  –  g  +  2k)  +  (8k  –  5g2  +  7g).