#'J,
a. Write an equation if y is directly proportional to x with a constant of proportionality of k=6.
\ = \rx
b. What is the value of y when x is
c.
3? \
: l8
-- \0 [3 )
Write an equation if y is inverse,ly proportional to x with a constant of proportionality of
Y= L+/x
k=2.4.
d. What is the value of x when y is
0.1? L
. \ = L.* t
O.lX
#2
a. tf G
= #how are G and s related? d\\tcfr\-l
b. What is the constant of
proportionality?
c. lf s increases what happens to G?
d. lf G =
4"
kf How are G and f related?
e. What is the constant of
= L.+
X
' 7+
LDp - t|
\ncreo:es
\nversetg
proportionality?
f. lf f increases what happens to G?
/x
ttp:$
deCn2CLteS
#3 You are going to spend SAOO on new baseball uniforms. lf hats (h) cost StO and t-shirts (t)
cost 55 write an equation to represent this situation.
81f,)
= lCVr + 6t
Give one possible combination of hats and t-shirts you could purchase.
MT;"LIP\,E AnS\A.J€rS
ZDV\otrs
- - 12, decide whether the following lines are parallel
the line. Some may be neither. 2U- +X -- - \L
#4 Given the linear equation 2y
or perpendicularto
d \ZD t-SVrrnt:
-
4x
a.y=)*- n Ngfnef
b.y=zx+T PWUUAT
c.y= -2x-3 t\A$ner
d.y=
-lx+ 3 Pefpge,d.ttt;.I0-/
ZU
=+X- 12
U=zx-v
tY1=
Z
= (- 4,6) and B = [8,9). Write your,answer
#5 Find the distance of AB if A
decimal.
as a radical and
AB=m
l- le)'+
(-
3)'
--{EB
'{\+++Q
#6 Find the midpoint of AB if ,4
= (- 4,6) and B =
rYroo,'(-T,ry)
'(i,?) =
#7 The midpoint of a segment has coordinates (3,
segment is [4,
-
(8,9).
[
L,1 .5)
- 4). The coordinates
of one endpoint of the
1]. What are the coordinates of the other endpoint?
(ry,-#)
[2
,Ia,-+)
++x=v
tA=z
L
-I+ \l
z
Y=L
'
= -LL
'-r
)
-tt$=-0
g" -t
#8 Given the-poirit
i.t65irJa CG 4,6), write the image point of C' if the following transformations are
applied.
a. 180" counterclockwise rotation about
b. Reflection overthe line
c. Size transformation
origin [-V, to)
! = x [-+,b)f
tnl", -
t)
IU,-+1
with magnitude k=0.5 (-
d.90" counterclockwise rotation about origin
-
L+
,lo) -f [- Z , 3)
t-q,\0)-
t*tp,- r+)
#9 The following data shows the number of members that attend 4 different gyms. After
January these numbers will decrease by 2O%. Construct a new matrix, and explain what you
did.
Anytime Fitness YMCA SNAP Fitness Curves
M
-
l+ZZ 360
45t
2421
.ts0N4' paf.to zBB 36D,b lq3,\p]
=
[sat
ttt
3to
r rq+]
kopp co,nt be
0ecLrnc[c, 3D
Qou.vrd I
#10 Solve the following system of equations using the method of your choice. Then graph the
two lines.
2y+
Surstr-ruleon
ZU
*
[:]t
+U-
x-
4y- 6x= -'J,2
10
v] = -tz
-+q"zx= -zD
-\oY=-lL
+U-\oV"=-12
D -EY" -3L
lbg' Vt
49
\oLru-zg) =- tz
4q -pD* \?q = -\2
Itott-tr,D-=
-lL
g-- 3
X
#11 Use
;e th'e following
followins matri
n
ces to find the answers bel
A-t? --r] B-ts':l
Z
a. A+B
I
rn$,S:L0re,
zl
cBxc
e.5A
3Yt'
[3 2]
c- lg rl
\\\nnpmnlrLe,
D
6x
ex
5
a
@'
v\,3
- l-'- ll
rx3 f; il
4
ll
r- -\+ {xl1
tr
DDnfrMoci-oh
[t
r -bJ
3J
So*-ct"'
SxL x lx3
R
5r tplir
Zu= V
. lf not possible, explain why.
+l : I.ru .-l
-15
-Bt lL6 -qbl
^Fz
#t2lf matrix 6 is a 5x6', and h'atrix is 2x5, which is possible GxR or
\
ZgtH = \D
L-z sJ
Mtt\ActCJTC di Vensrcn:
q:l
:b :-:
Fz
* F5
A+D Ls -BJ-L+
'1
3J
L
d. cxB
ZLtnnmofiQru
lY
:
"
[or-ao-{
RxG?
Pos:ubl.e
What is the size of the answer matrix?
2xtp
#13 Write the equation of a circle whose center is on the point (-4,6) and has a radius of 16..
(r++\' * [y- \o)" ' b
ro-+u
[ro 117
2x5cr 5^t?
Not Pctsl-bte R-xq
7
#14. Draw the triangle created by the three points J(-2,21, K(8,6), and L(4,-4). ldentify and
prove whether the triangle is isosceles, right, equilateral, or scalene.
Jv_=w
=,JITDI-{TF
:.[lt$-*\\rt = fiG
kL=ffi
)
= ft+r{(IDJT
=
so"rne
.IGFoS z {-\Ttr-t
tscscete:
#15 A triangle is transformed under the following
a. The side lengths
b. The perimeter
c. The area
will increase by a factor of
rule (x,y) -> (4x,4y).
what? X +
will increase by a factor of what? X +
will increase by a factor of what? X
4" = X \Lp
d. lf the preimage's perimeter was 6 and area L7, find the perimeter and area of the image.
A = t.1 x\V = U,L
P=tp^tf =?k
#16 A figure is transformed with a size transformation of magnitude 2. Then the figure is
translated right 4 and down 7.
a. Write the rule for the composite transformation.
(x,q)
;
[zx ,29)
a (zx r4, zU -1)
b. Find the image of the point
transrormation' (- tL,a)
(- 4,3) if it is transformed
r
(
(x,q) e [Zt++, ZU-l)
by the same composite
z(-+)n+, Zt3) -l)
a
(-t++ , \p-t)
-t
(-+,- ,)