Name:
Clue Game
BUT WHERE? BY WHOM?!
We have to
solve all these
algebra 2
clues to find
out. Those
Did you
genius HCHS
students can
help us!
hear? A
treasure
has been
buried in
Lexington
WHO BURIED?
Suspects
1.
Coach Cal
2.
Randall
Cobb
3.
Mr. Little
4.
Coach
Stoops
5.
Abraham
Lincoln
I
Locations Answer
Answer
#iitiffi
ffienry Clay
(
football field
i0,
2.
RWEffi*
-2iu
n
3. Keeneland
y = *3x'+ 7x
i
3o
x
y+4=(i+O'
x
Coach
Gay
7.
Ms. Terri
4. UK baseball
field
5. ln the middle
of Fontaine
Dx
*rx
j,
TharFcrTneI
sits next to
Answer
al
ss,ooo,ooo
"1,:0,
2. Season tickets to UK
basketball
3. S30 gift certificate to
McDonalds
j
W.'nn4
!a'.
8. Room 129 al
t:,9'X
4. A full ride to UK
y,;*|AiE 2(x + 3}*
5. A pot of GOLD
''--,,i
X
0.5$
7. Lots & lots of Canes Chicken
fingers
8. A high school diploma
HC
9. Green hallway
a new carl
y,,li|flff,H1ia
t:i|:il,,.V
f'to
y
Lrk
6. 90 homework passes
7. The Henry Clay
y={x+2}'
tvtr.
you in 4'h
hour.
t
6. Ashland
(Thornton
),
l-l
{;ii-dfi
soccer field
8. f
Treasures
Road
i::':..::='::
6.
WHAT?
WHERE?
34;rN
I
-;x
ffi
Directions: As you solve each problem, look for the answer you get in the boxes above. When you find a match, cross
out that suspect/location/treasure that goes along with it. When you have finished, please show me your answer
sheet along with your workl Whichever answers are left over are the SOLUTION to the PIJZZLEI BEST OF LUCK!
1l Sorve: xz -
!6x = o tlrclog 0u1
X ( x-tte)
X=[
Y,-tb
3o
:0
I:ltr
-_-.1
htf,,l
10 I
Yir+tlx-t $
[,Tz t tlx. -l$'D I t (f lM )(x'{ ) '0
gTl',
\/
ont
T,u dnd. -,,\
t [x I g)( I-!) ,o
2] Solve: 6xz + 11x=
(2x r s) (3 x 'z): O
3]
Solve:
x'-qxrf:g
x2
,{r
4x=.
5 r^rrh*
I
&'t'
I
4lSimPlifY:*'F
"'
l =-i1|,,
#-ffffihhi,,l!)
-
rl.l-rffi-
^ , . a
Z
,t_
.a r-1l
'nrinr$in3
=p= 6
'=[ml
r-4'li
lli,lT
3q
I
5] ConvertJnto vertex form:
t
,.. r .
what is the vertex of the equation to the left?
6] What
ol
(-t ,-tl)
y=xz.rr";'J($1"at'
y -32 " >('t
\ 'n
+
jb'
y h,{ 2
12
x
X't
l2x ) 3ta
(xrb)'
7l I convert into vertex
y =Zxz + 12x-
y+q
=
-
..
a.i (Zlr, ,l
8] What is the vertex of the equation to the left?
4 /
7(x'tLnx)
yi't +fiJfftux;q)
Y+Z7"L1xt3)'
b.-Llqc =b
B] Which statement would be true
for
a
quadratic formula to have l- real solution?
b)b2 > 4ac
9] Write in standard form:
4a
aJ 4+2{7
101
Simpli$, P + 2i) - {a + 7l
al 5+9i
H + TJT L
"{19
.A\
1{-r
aI+ - z,l7
q
+zi
c) bt L-+ac
-r-t - -t i
uls-si
@
b'=
Lla c
dJb=0
d)4++,17t
"5-5i
cJ13 + 5i
d)s-si
11] What is/are the intersection pointfs) of the equations
below?
11
[e
*z/^xleft<X:
x= +, 3
-Ii*x*I
$LrrE:.I Y ' 2'-.l[4'z
#*#
_
-tr)
r-
4:r
'-Q
Y-int'_1
uP, (1,,3?
,{s(o;z) ^J1ffi
12] The profit from selling local ballet tickets depends on the ticket price. Using past receipts, we find that
the profit can be modeled by the function p = -15x2 + 600x + 60, where x is the price of each ticket. We
want to find the ticket price that gives the maximum profit, and also find that maximum profit.
ricket p.i."
Xt}:[*
--trob
\= -t/ou
''-ir',-rr)
,t-rO 1o 2b
$A
Maximum prorit
=
lU-.Q t, O
-
tu Du [zo)
)'V=
: lo (iT
t 0b0
t-t'o
14] You and your buddies are tossing some wader balloons off of a roof. You are intrigued by the parabolic
shape of the water balloons'path and would like to figure out the quadratic equation that describes their
motion. You do some calculations. The roof that you are throwing off of , when time is 0, is 30 feet tall. After L
second, the balloon is 34 feet high. After 4 seconds, the balloon is 10 feet above the ground. Let x = the time
after the balloon is thrown. Let y = the height of the balloon.
flvq fr,rtD U,A{'lby+c
What q-uadratic eq"uation can be used to d
(o,ap)
10=L
( 1,3'.1)
11=
rr{q
Atb t a
ril
15] How long will it take the balloon to reach the maximur.n hqight? l.
(round answer to the tenths place) tltXfaX t t
Lsrtrnob
x?
*J
2(,-3\
161
,?14
What is the maximum heigh
(round answer to the tenths place)
1
rr'3 * io(.
, -3(
Y
r
.a)
'3.1
,I-u
' +1 (t.z)'t 3D
t
=l.Z
t7)
Afterhow manv
11:",11"y1';:1":
i;:i::;:ffi1;rff:li1*"''
te
dn
'+1X ?4A
' ?4r'11
0:-"1frr*1x-l
x'
.t1
--l r
-v
-t-lta(-3) -1 t J t3
.U
d It
.lo g,ec4*t
oxd
1.8
Scoorldr
18] When will the balloon hit the ground and splatter everyone with water?
(round answer to the tenths place)
^a
,/
1{'^'}V
,/r
19] Write a quadratic equation that goes through the points [1, -5), (3, 5J and [4, 16).
?lvt
\,-rr)
'5 '-a t b tc
rd' y" Ax't bx + c
(1,
(tt,
t, )
6 , qylriY
rc
lto)
fU,\,t4X'tclxlC
plrt r4[, vrplnl
t
1
IV
tl
nl
r{l
-11
(rr9
-1
IUJ
J,Zttz
- 3x-tf
H