LEi
Name
Ch.3 Pretest
Quantities & RelationshiPs
Urr,r,
Show all of your work on a separate piece of paper!
1) The scatter plot shows how many miles a group
of friends has run each day (when gearing up to run
a
half-marathon)
3) The scatter plot shows the average number of
people in line for coffee at a Starbucks minutes after
they open at 6 am (a whole .-month of data).
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6Ea)
l.{ir.u{<s aG+er- karn
a) Identify the independent and dependent
quantities.
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Cf
a) Identify the independent and dependent
4S)
q-uantities. If,
6itc9
b) Draw a line of best fit on the scatterplot.
c) Looking at your line of best fit, predict how
many miles Kerry (one of the friends) has run on
the 3'd da-v-.
ProbablV Aber*
D'.
2) The scatter plot shows the amount of snow in the
mountains (in inches) on the ground during a heat
wave.
e
6Q getg\e t"r'L'ne
.
q
f(x)-5x+l
d) Using your function, solve for f (7).
Explain what this means in terms of the problem.-
scz) =
+
('T[
y::*
:i3*i;:l
L
t
i n \rne &- ip${ee.
I
4) A coffee roasting company's costs are
represented by the function:
$."n
5s
r+J
C(x):2x+1500
(where x is the bags of coffee produced)
f;<!
Their revenue is represented by the function:
3
E
R(x):10x-1
Create a simplified function for their Profit
Profit equals revenue minus cost'
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4a!iI
I1J+J
frr.n€ (o
-t -Zx - tfoo
P[*) <; - tro I
48) K(x): l2x+4 and G(x):2x-8
= tOx
"..,t)
a) Draw a line of best fit on the scatterplot.
b) Write a function ecluation lor your line.
=
Create a simplified function H(x)
l.
f(x)---qX+'1r
c) Using your function, solve for /(9).
Explain what this means in terms of the problem.
f,(q)
*
b) Draw a line of best fit on the scatterplot.
c) Write a function equation for your line.
5 nnites.
l
: l{tn,r*c-s zFler (re'*''
=
-f (t) +t"
s(q)=
?'15
fte{e.
tjiVt:
ff.L"*.-,^r.
if:
,#2jHl:li',-@)r>
= l2x{{- 2x* I
d(r) '? lO 7+12
L
if:
5) Write the general equation for each:
Slope-Intercept Form:
^.
A*
b.
v
*Bl=C
Standard Form:
--
tY-\X
8) A bakery sells bagels for $0.90 each and muffins
fbr $1 .25 each. The bakery hopes to earn $400 each
day from these sales.
a) Write an equation that represents the total
amount the bakery would like to earn selling bagels
and muffins each day.
.tr
+b
I
b) Define your variables.
c.
l*
V. i * #' !"**1f' =trC
l*E,it # Ar*'ff,iroe E*:,.,.
Slope Formula:
Y?1,
trz- xt
A farmer's market sells apples for $0.75 per
pound and oranges for $0.90 per pound.
a) Write an expression to represent the total amount
6)
the farmer's market can earn selling apples and
oranges.
.15A*.QoR
A ;s se *
t.de6
P ;s {l^c.* o}
.1{ (g) +.to(z)-:*
ro)q
E,agql
7) The hockey booster club is selling winter hats for
$1 1 each and coats for $29 each.
a) Write an expression that represents the total
amount the booster club can earn selling hats and
Lvsrr
lS
tj
+ AF" c{5**
is *. t*g,*.-leJx*.g €e t *
B ,:t * a$ ri^+* *{.J '
It+
oran1,eS.
c) Calculate the total money earned if the farmer
sells 8 pounds of apples and12 pounds of oranges.
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9) Ling is selling jewelry at"a craft fair. She sells
necklaces for $10 each and rings for $2 each. She
hopes to earn $450 during the fair.
a) Write an equation to represent the total amount
Ling would like to earn during the fair.
b) Define your variables.
b) Define your variables.
coats.
b * 7.25t,4- f;**
tl r-l r )q C
10) The basketball booster club runs the concession
stand during a weekend tournament. They sell
burgers for $3 each and hot dogs for $2 each. They
hope to earn $800 during the tournament. The
equation, 3b + 2h = 800, represents the total
amount the booster club hopes to earn. Use this
equation to determine each unknown value.
a) If the booster club sells 28i hamburgers
during the tournament, how many hot dogs
must they sell to reach their goal?
gieYfiTa*Boo
Z.-t? ++ZH
LFt =-Eo*Z
= BOo
_Al
<"la
A
-41?
NbNl{,*ey
ffi;,,
har.rt- atve&l^,
.*herk
rcaL.h.,e.r
rr,r,.i"3rHiJ-#'els 55 hot o&3nt'
during the tournament, how many
hamburgers must they sell to reach their
ul
b) Define your variables.
d rE +c'tr t>}5 *all'
Az * oS cPa++ salJ'
r'^[u.?G6-)
= Boo
3gtitO J grPD
-'&=-_*'ro
c) Calculate the total money earnedif the booster
club sells 40 hats and 8 coats.
It [qo) + >q (e\ =
zsvllb12^l
-.,
44o
*
@g]
c) If the Uoort3.. cluBsells 90 hot'dogs
during the tournament, how many
hamburgers must they sell to reach their
goal')
39 * *-ZL\o)e goo
=B IQB =-fut, B=2sb,v1
ry=ry
l#8"*l
ll)
Converl between degrees Fahrenheit and
degrees Celsius using the literal eqnation given.
necessary), round the answer to the nearest
If
hunclredth.
13) Rewrite the equation from standard form to
slope-intercept form.
4x-l 6y=48
a) -..iy
-{*
=-
s
,= nG-32)
-d
(tz-3L\
{'--!
vq
a)
72'F
b)
-1l.F c'- E
:
4*r'-ffi
(-fi -3?)
$=
b)
'' f;(-|,2> ={-23.T o
+".#r*e
zs"c 7u= !(F-zz\
d)
L{ i v-n,T
+-11.j= 1 *lt'a
r
*^rr,7 ++
F,,rl
c
s=-u
-7x
4r \
*2
-3Y.+27
-4v == -3x'
-5w
=*F
5=f^-5
_rn-'3": d r_- i(aQ
4t *w
,'#
T
q 49
-Ex*
3x-SY=l$
fr>
-ro.c -to = Z{f
q' -2"1
c)
lx.rq8
-Zx-3Y=9
+l-tr'
+Zt
c)
tq
s=
-3 *.-?
12) Solve each literal equation.for the variable
indicated.
The formula for area of
a)
t2a
z1
t
\
A)1 ;bh) Solve
7*--w
Tb
b)
triangle is
the ectuation lor /r.
14) Rewrite the equation from slope-intercept form
to standard form.
a)
-
Lv=*
b
!=5x-3
"ir" -'5x
-3X
{.r-t =
-
The formula for perimeter of rectangle is
given byj. = ZJlt""y-j'. Folve for w.
z
L
2=
*-L- [+,r
L
c)
a
*= *.-L
The formula fbr converting between
degrees Fahrenheit and degrees Celsius is
given o*'t
G - 32). Solve lbr F.
', =:, -:)
b)
3qu = 2x -tB
n.*
-2*
*i
2c
= F-sl
*9
D +32
c)z
oI a c[cle 1s
tbr r2
equation
. Soh,e the
e area
d)
A=trz
E
7
1r
*r'J
,*i)
x+tf
+x
V *2..r 3 t{
REVIEW
15) Find the slope of the line given two points.
a) (2 ,7) & (-3 ,5)
g,=
c)
I
(140, -30)
:@
-7L'l1o
lrwuh
l.' C-orv{ao o$'-c+lac
wun
& (-22,-1,4)
' -llrL-:"
16) State the x and y intercepts, AND
line for each of the following.
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E)
20) Simplify each of the following expressions.
a) (1.+23)-75+25+5
(t +zz1 -1{+ X
I*r.18 x=l2.
q.l
-
v irrt: bq=lA
U=B
b) zi-s7-ls
'no:d
b)
x=f
x in#: b--€
7a
1 rat- -4=* {.-3
c) 4x-Y=-$
F lnt: .bl=-J
q y---Z
17) State the slope and y-intercept AND graph the
line for each of the following.
s\ogez
!
Yin+jo
c)
v--
-L
--x+
-1
1,
5
s\1e-: -9I
Y i^+; I
d) y= -3x-4
slae,: -3
) in*: -rl
-3133
-
331
-
3
<lzz-sal-3
-a-bl -7
=-l?-3=
a) 2-'5(x-3L= -7x*9
2-5xd{a -7r+1
-$7+t-t -- -7 x *t
{?r
flr
2*,*113
1
-l? -t?
F
z*=-s. Lr=-t{
b) ry-t=r=
---
\
x-f,=1 oA x-{=-1
r--Itr
*tyf
Ix= tZ- oe. x =-Zl
-'"-uj-"-sffi
glog?.: L{
rzr{-:
-;{4 =m
22) Solve and graph each inequality.
a) 70 -2x <lB
1^
b) y= -x
-I
4
)
zq
2r)Sorve.ffi9t?o-"f
-,T
1 ,'*/'a---8'-\ J=t
.2
a)
!=ix
$rr"ghu..-S
graph the
a) 4x+6Y=49
Xtaf:
h*ea-
19) Give two reasons why these graphs may have
been grouped together.
Ba+a-h>4.:
z-.: @
=
tz.-|d
P.-C.r,.,Ort
(t2,3)
(11, -s) &
3*+5
y* *(l** *d. aA ,/
*=e
*-z
b)
18) Sketch an example of each of the five function
tamilies.
b) lzx +TI>-52t*3-f- t,,a- Zx*i <-f
;;z
?-
oc-
4"3
c-x
euf {'-Z>-33
4;+Z3Z/
-?- '2-z
-Z
.