Cracking The SAT Premium

either  equation    to  find    the cost    of  a   snowboard:  10(50)  +   4y  =   740,    so  4y  =   740 –   500 and

4 y =   240.    Therefore,  y   =   60, the cost    of  a   snowboard.  So, the cost    of  two pairs   of  skis    and

two snowboards  would   normally    be  2(50)   +   2(60)   =   100 +   120 =   220.    Finally,    remember

that    prices  are discounted  by  10%,    so  multiply    the price   of  $220    by  10% to  get $22,    and

subtract    $22 from    the price.  The final   cost    of  two pairs   of  skis    and two snowboards  is  220

–   22  =   198,    which   is  (C).

24. A Start by simplifying 8x + 8y = 18 by dividing each term by 8: x + y = or : x + y = . The

second  equation    provided    in  the question    can be  factored:   x^2     –   y^2     is  the same    as  (x  +   y)(x    −

y), so  the second  equation    can also    be  written (x  +   y)(x    −   y)  =   – . Since   you know    that    x   +

y   =    ,  you can rewrite the second  equation    as      (x  −   y)  =   – . Multiply    both    sides   by      :   x

−   y   =   –   or  x   −   y   =   – . Since   the question    asks    for the value   of  2x  –2y,    simply  multiply

everything  by  2:  2(x −   y)  =   2   =   – , which   is  (A).

25. D If each minute of his workout time burns 50 calories, and he wants to consume no fewer

than    2,000   calories,   Shaun   must    work    out for a   minimum of      =   40  minutes.    If  he  wants

to  consume no  more    than    2,500   calories,   Shaun   must    work    out for a   maximum of      =

50  minutes.    Since   the question    asks    for the inequality  that    represents  the number  of  minutes

for  which   Shaun   will    burn    off     as  many    calories    as  he  consumes,   (D)     is  correct,    as  it

includes    both    the minimum (40 minutes)    and maximum (50 minutes)    amount  of  time    that    he

can work    out.    Choice  (C) is  incorrect   because the answer  should  include 50  (he can work

out for a   “maximum”   of  50  minutes,    so  he  could   work    out for 50  minutes),   but the less    than

sign    (“<”)   excludes    50.

26. 
    

    A There are 162 games in the season, so the team needs a total of 162 × 45,500 = 7,371,000
    ticket purchases to have a mean of 45,500 ticket purchases per game for the season. The 60
    games with an average total ticket purchase of 43,000 gives a total of 2,580,000 ticket
    purchases, leaving 4,791,000 ticket purchases left for the team to reach its goal. Dividing
    4,791,000 by 102 makes (A) the closest value to the average of 46,971 ticket purchases per
    game the team needs to make.

    
    


27. 
    

    B The best way to deal with this question is through POE. If the polynomial has zeroes of 2
    and –3, then that means you have two points: (2, 0) and (–3, 0)—eliminate (A) and (C).