Name:
Block
Date:
BENCHMARK
MP 4- STUDYGUIDE
Pleaselook over old notes,study guideand testsand quizzesfrom...
.
Moving Straight Ahead
.
What Do You Expect
.
Data
MOVING STRAIGHT AHEAD
Vocabularv:
Linearrelationship
Coefficient
Slope
Independent& dependentvariable
y-interceptand x-intercept
rate of change
Slopeintercept form for
LINEAREQUATIONS
Y :mx +b
whatdoes
they represent?de b gn d e
".t
\-'7
Whatdoesthe m represent? tLe
q\o
V a. .
-b\e
Fe ,
coe$ D',c,.enk o.l
What doesthe x represent?
ind.e.pendgr.\,
"(
va,r r o,\\e.
What doesthe b represent?
l.
Linear?
3
Slope?
3
@
or
3
(o, t)
NO
x
0
I
v
l0
8/
2
6/
3
4
Linear?
qD or
NO
Slope?---a--)
z
y-interceptr(O, to)
,2
Equation:L\ = -7X+
-z
-,
tO
a. Suppose
y : b + 10.Findyif x = 2.
2.
=
-t: '*:1:l
1.3r= Zx/z
3. Solve.
a. 4x+ l0=22
b.3x+9= 6x
-}x
- 3x
- to -to
-__
a{rt- = | Z,
/1
"l
2(x+3;= 13
2 r t*6 = l8
-6
4. tr,
{d5
co\i
rtionsfor eachequation.
( r, 3)
(OrO)
a. y : 3 x
b. y=5x-3
(o , -3 )
c . y = 2 x *7
(O,r)
(r,Z)
I
5. Graphthelinearequations.
a. y: 4 x + 3
Slope: tl
Y-intercept,3
b. Joeyhas6 baseballcards.Every
^t
Slope: 5
Y-intercept
t G
Whenwill he have24cards?l:_A
( o+] 2 a = 2 . {
-(-
+a{x
(ox+ l5 = Z-f
-t 5 -r5
'^ ,.
'-r:
o
.J
*.$X
-6
--_
(5
d.2x+15=27- 4x
a
js
-(-
31g= t 8/r
x. (o
q)
t Lta
@
( 2,
Co)
( z, r )
( z t r)
{
\=/
WHAT DO YOU EXPECT?
Know how to...
Use a tree diagram to find the probability of an event occurring.
Find the probability of spinners,coins,dice, and other situations
/
l. A bagcontainstwo greenmarbles,four yellow marbles,six blue marbles,and
eight red marbles.If you draw one marblerandomly,
a. What is the probability of drawing a blue marble? (o
ZO
z- -3,
ro
b. What is the probability of not drawinga yellow marble? t{o
20
o.
=g
3O.A
Yv'
= }
\o
5
oF gO7.
c. What is the probability of drawing a greenor red?
lo\
;
=
i o .5 o '/.
iffifr,u,n
2. Mandy has a red shirt, blue shirt, and white shirt. Shehasa black skirt, gra
Mandy also hasblack shoesor brown shoes.Draw a tree diagramto show how many different shirt, skirt,
and shoecombinationsshe.cancreate.A5o.,
S\irri
i1,"0
SLret,
Bu.
Bh
*
G,$<S:
Yr.
g1q
-<- -- s\t
8""
+B\\
-'---
Brn
B\L
C5.g .Z- -' Qr...
?"'<u:
, R,kZB::
U)\it€,
+o,*ZB'l
\1.r.<
B::
How manyoutfits canshecreate? \ 8
6
\
Whatis the probabilitythat Mandywill weara whiteshirt?.s.-}-=
Whatis the probabilitythat Mandywill weara blackskirt andblackshoes? G
-
(o
3 . If you roll a 6-sidednumbercube,find the following:
a.
= o' 5OZ
P(p{menumber)=
i.
a
Z r S ot 5
P( less
th3n
3): a = i
torL
c. P ( g r e a t e rth a n 2 )={
= Z
6
Q
\{,5c'
b
4. Ms. Bartekis creatinga new passwordthat is 4 digits long. Sheis usingthe digits I through9 only
,,)9 erg\t-
once.How man
po.Sl,r*rrdg
an shemake?
I
q\Br-1
-12-
x(o
i'l
5s+
r6
5o{ 3o-I5
5. Draw a treediagramof tossinga coin 2 times.
?ottr\le
outco"es
(\tPL
e
($?),
\{H
.. H
./
\r
/l)
\.'
Hr
//H
'\1
TH
T1
t
a. P (2 heads):
b. P(2tails)=
i
4 o .. z3'1.
oe ]-3'/.
c. P( I headandI tail)= 3^{ =
|
"'
d. Whichresultshouldoccurmostoften?
5c)7.
1- \ea.A o..d 1- tc.\
v
DATA
Know how to createand interpretthe followinggraphs:
. Scatterplots
. Box-and-whiskerplots
. Circle graphs
. Stem-and-leaf
plots
I
Know how to find the mean, median,mode, and range of given data.
ab
2t{.32
l.
87,32, 56,97,109,76, 24, 39,79,43,g0
Find the following information aboutthe given data and createa box-and-whiskerplot.
lo
t .
Q1 l 7 -
Mean:bt2 ii
Median: f
LQ:
\l
6
3q
zo
Mode:No..e
Minimum: Z{
Range:
-g!-='oq'z*
Maximum: \Oq
uq:
90
Interquartile
Range: 5 \
(uq- L6) 5
bo
2. Jamessurveyedhis classand createda table to displayhis data.
FavoriteTypesof Music in Miss Pursell'sclasses
4a?\
1b
Cq*no\ Ang\c -l
Zg.go
Create circle graph to display this data.
I (ob.Z"
a. What percentof the studentslike eachtype?
Country
€= *.= B'l'
Rock
4?=* = 2o.L-/.o. i.:6!-1.
Rap
Pop
-v-
P.=t =ZO'/.
t =\5.17. or \5!
'/.
I
STUDY ISLAND
l. Mary put $3,000in a savingsaccountwith an interestrateof 5Yofor 3 years.If the interestis
annually,How muchmoneywill shehaveat the endof tlueeyears?
co1npounded
3 m 6 r .O5: l 50
3 o oO+156=
3\5O
\J
et\t'
t5-1 .5
3 \b Or .O 5:
j tso+ \61.5 = 330-1 . 5 S e 2 \ 1 .
33O-] . 50 x .O 5 : \b5. 31 5
33o-1.5O + \tc5.3-r 5 s $q-r Z.B'15 4' 3 $.
coo'..d to,
* \{us\
v\eqce s\ 1f:.rr15.
The lengthof S is 6 cm,the
into two rectangles.
2. Thefigurebelowshows, p;;m$)1r.o-Oosed
lengthoit ir 'l cm,andthep.ii-.t.t of the payll€id€1ar338 cm. Whatis the combinedperimeterof the
or"g'^or rcetonS,\e
two'trjangfies?
srqell racto'^S\o,
(p
b
T
T
(o
S
(o
S
3. A veterinariansurveys25 farmersanddiscoversthat 13havecows,t havehorses,and5 havesheep.
Threehavecowsandhorses,2 havecowsandsheep,andonehashorsesand sheep.Ifno onehasall
three,how manyfarmershavenoneof theseanimals?
l+ Z :Z \
brcrve or.t
8rb+StL+Or
\eo.r\ t
On'.,..re.\
25-
2\ --
'\
\o.,e, \o^e,
)