PERIOD
DAT£
NAME
Vocabulary Test
annex
:SCORE
gteat-es-t common factor
Corn mutative Property
improper fracti on
denominator
mixed number
fraction
numerator
redpmcal
simplest form
Choose from the terms above *co complete each sentence.
1. A rim=her tha represe,ÿts part of a whole or part :of a set is .caJled
L
fraction
improper
2. When dividing ft.actions, it is .mosthelpful to change a .mixed number
into a(n)
3. The
2.
fraction
3.
numerator
era fraction is the part that tetls how many
units the fraction contains.
4, The
Commutative
=
=
states that the order in which numbers are
multiplied d0.es not chang# the product
4.
Property
is made u_p of a ,vhole number and
5. mixed number
4
2
6. tn ÿ, 5 is the-
7. The
........
-
1
.-of 2 iS "ÿ.
E"
Define each term .in },our own words.
5"
8. gtÿeatest common £aetot. Sample answer: the greatest ofthe common
factors of two or more numbers
9. simplest form Sample answer: the form of a fraction when the
greatest common factor of the numerator and denominator is I
K
g
.ÿS
2
=
10. ann:ex Sample answer: to place a zero at the beÿ or, the end
of a decimM
14
Course I • Chapter 2 Multiply and Dividÿ Rational Numbers
NA g,'ÿ
DATE
P ER I OD
Lesson 1 Problem.Solving Practice
MuItipty Decimals by Decimals
1o Colin is making soap for gifts. The table shows the cost
of the scented oils needed to make each kind of soap.
He needs 5:5 qunces of scented oil to make a .bat.ch..pf
soap, tf he wants to make 2 batches of lavender soap
2. ionas fhvorÿte peaches arÿ$2.50 p..er p. ourÿdÿ.t the locaJ
farmers market, She boughÿ., pounds 9fthe peaches,
How much did she spend? ............................
"'; ..C:/"--ÿ
and 2 batches of vanilIa soalÿ[i81ÿ,ÿuclÿifÿsney will he
OLI
[
:"; bÿ:ihJ
Cost
almond
i $1.23 per ounce
lavender
! $1.54 per ounce
vanilla
$1.65 per ounce
melon
$ 5,12 per otmce
"ÿ f!ÿ (: 0
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4. Aria bought a van t.h,ÿhoJdÿ 20.75 ga!Ionÿofgas and
gets an average o,f'1:515 ÿ;ili;ÿeÿ-ÿllÿ;li,"How many
miles can she expect togo on a fuIt tank?
/ÿ":'ÿ %, ' ......... %
5.
,
6ÿ Mammy is-on vacation in France. He has rented a car to
Ish; makes. $8.a0 an hom;tolhng sushLaÿ&restaurant.
His paychec]?" glÿdgÿs"tlÿat" he worINd'20ÿ88 'h0i,rs"m, er
[email protected] kilomete.rs fi'om Paris to Brussels and
wantsW.8ÿgÿredtÿiÿie distaÿce.Jn..ÿniIes, Since 1
the past taro- weeks. How much dki°IsIÿgIÿe" be)'ore
.................. .ÿ...
taxes?
• ÿ; ........ ...-< :,. ............................. .
,L,"-.-ÿ Lÿ
,.0
kilometer is equal to aboutg£62 mi!.ÿ be needs to
multiply the total kitometerslSy'0.62. About how many
!
miles will Manny drive?
.y ".,. ÿ
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Course 1. Chapter 2 Multiply and Divide Rational Numbers
"
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c Lÿ:.)
' "ÿ:" 1
-. ............................. :;::s-
DATE
NA,ME
PERIOD
Lesson Drobtem=Soiving Practice
Divide Decimals by Decimals ,ÿ . ,ÿ_
For Exercises 1 ÿnrl 2, ÿ:ÿe the table th,at s:hoÿvS cÿBe records for ÿhe Bÿsÿoli Mÿraÿlioÿo,ÿ:-ÿ-<.,: ÿ,ÿ; ÿ-ÿ:<.ÿ,J -ÿ :2 ",1; '%.")
........ ;ÿg7":" -ÿ:;ÿ;rÿ ............
Cÿarse !ÿeords for ÿhÿ ÿostÿn Marathon
I
YÿaF
Time (h)
2,050
Margm'et Okayo
20I 1
2002
Joshua Cassidy
2012
Reeor.d Holder
I
.Geoffrey Mutai
;:i ÿ,,,,<::ÿ ÿ;ÿ Men's Wheelchair
r).
.... q":;ÿ L";," ÿ:+!;ÿqi: ...................
2,345
i
><ÿ,"X. ÿ+ .
I,307
"U,0"? !.-.O
Wakaka Tsuÿhida
201 t
1,568
<- <'ÿ i i ÿVh.eelchair,.,
°.ÿ;.r ,<+>.
The
shownin the table to oM{:iTfitdthe miles peÿ, hour for
each division winner. Round to tlÿenem'est thousandflÿ.
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ÿ,+ÿt7 #.;Zv:Y'O ....
4, Nikki is ÿuyiÿg,,sÿ,.-iÿ,.cator magnets for tl..ec
earth, how- mÿ)7 l°nagnet--'---s°]sÿÿ+e buying?
.........
"ÿ" .......
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b <sÿt%ÿ j /
ÿ;: ÿ,<- ,ÿ
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......
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.......
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6. Yori has]tÿ.25 culls€of cupcake batter. If each cupcake /
uses 0,7) c:up"of batter, how many cupcakes..ÿan Yon i
mÿe?-
.............
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.....................
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Course 1., Chapter 2 Muftip!y and.DMde Ra!onal Numbers
NA M [5
DATE
PERIOD
Lesson 4 Problem-Solving Practice
MuJtipty Fractions
For Exercfses I and 2ÿ use the recipe for chocolate fl'osdng.
Chocolate Frosting Recipe
•,
'1
7 cup butter
:
if;
2 ounces melted unsweetened chocolate
3/" : .,.-*
/-,->d
2 cups powdered sugar
t
1
2 teaspoon vanilla
2 tablespoons milk
1.,,.Geÿgia wants to cut the recipe for chocolate fiosting in
('ÿ
half;for
a smalI cake
that she is making, How much of
"ÿdÿCh
.!t}grediet!t
wil! sheneed7
2, Suppose Georgia wanted f0 double,flÿe recipe; what
would be the measurements for e:ach ingredient?
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....
.
.
,.2
.
.ÿ. t_memml ÿt todays couege students began rising
-ÿtÿ&s between the ages of 5 and 8. If a college has
"">"3",500 students, how many of the students began using
....... ebnÿi15ffters betÿ{;ee]i i1ÿ'g ages of 5 and 8?
,%7 .: I---.
i{iÿ
+::" .ÿ ,... ,,
4. A paper published in a medical jom'naI repoÿxed that
about ÿ oÿ gnqs ages ] 6 to 17 do not exercise at all,
Thd'entire'study consisted of about 2.50{)ÿh'ls. About
how many did not exercise?
,h'.;g9 .........................
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yÿ
72 "ÿ::'7, ............
5o Catherine waIks her do milÿ
she walk each week?
daÿHow far does
............
ÿ
; :,W4ÿ
.,-- )... 2::---;:;
6, If you ÿractice a musical instrument each dav!f0r - of an
hour, .how many....hours of practice will you get in'each
I
week?
.....................
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:-:. ::,.3 !17 ,:ÿ.3
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Course t, Chapter 2 Multiply and Divide Rational Numbers
"
............
NAME
DATE
PERIOD
Lesson 6 Problem-SoNing Practice
Divide Fractions
FeT £xerdses 1-3ÿ use the taMÿo Thÿ.tabla represents
fh,ÿ distances from Nashita's vacation house to fhe
various shops in iowa,
........
Distanee,in ÿ,ÿ]es
3
Sam's Surfboards
4.
3
Mick's RiYerside Tours
3
Pete's ParasaiHng
s
2
7
Beachside Clotÿiers
t. Nashlfa walÿ,.t<Sÿgs SUrfboards° As she Wa.Ik% ÿhe
A1
.ÿ,
2, On Tuesdaw
to Pete!s
Parasailfiÿg, She:
"
- " Nÿ,shiÿMks
/ i
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,
stops everyÿ mflÿ to take a sip from her water bottie,
fÿeIs a breeze eveÿ,ÿ, ofÿ,,., mite, How many times
Hÿ,w manytimes does she stop*
doÿs she feel a breeze?
k
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"W'ÿ /',
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oL.
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3, NÿsÿitawaIked to Mÿelc's Riverside Toms, Sÿ!otiÿd
that the stm went behind a cloud .about eÿ ely ;- of9
mile..During tÿer walk, how many times di&dÿe'%unÿ ÿo
behind Ne clouds? .....................................................................
...... 1".7°` ! ¢".:..;,
ÿ'%ÿ "'-'Yÿ ''<:
4, Brenda.iÿe-nmt of mint ohoeolate chÿp ÿoe oream,
f3¢:2°'%
/
3""ÿ.- ;,'o<
.
.
Mm'k ate - pint ofmalt -ÿce cream. How many tÿmes
I;i
ÿ
:
!
....
,
......................
i i,.
i°)fÿ').ÿ:;-ÿ;ÿ.-":"ÿ'
-mile relay rac% each runner ruÿ,s ÿ Aile..How
many runneÿ:s.are in the race?
.
;.&..j.................
more ice oremn did )#!ark eat? ......................
'
5, h
}
f dÿi
X"':2
i' ÿ -vÿ.,,o-ÿ-, ÿo;;:-,,,;>
ÿ-.
d;,ÿThree fomÿ!s dÿ'ÿollÿ-ge"studetkts use:the hÿternet more
thmi NÿfibtNy..Nÿ!ÿe hundredthg'uÿe the hbrary more.
f,:2
.......... ,w ............
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:",:
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Course I ÿ Ohapte,r 2 Multiply and, Divide Rational .Numbers
I
J
I
I
[
!
NAME
DATE
PERIOD
Lesson 7 Problem-Solving Practice
Mutdply and Divide ML ed Numbers
For Exercises 1-3ÿ use the tab|eo The table shows Keith's food options forÿ7ÿ," eutdoor sur¢ivai cotÿrse,
Food Options for %Day Outdoor Smwival Course
1 plastic jar = 4-s cups
Peanut butter
5
Dried noodles/rice
14-32- cups
Dried fruit/nuts
6-1 cups
6
8 boxes = 16¼ cups
Concentrated juice boxes
3£ cups
Beef jerky
s
Powdered milk
1 box = 8.4 cups
5
Dehydrated soup
5 packages = 153 cups
Canned tuna/meat
4 cans = 5-3
5 cups
+ [
;[
ÿ-%
ÿ,ÿ. v;,,ÿ,>
1, Keith plans on eatmÿ 1ÿ cupÿ of tuna per day fdi: five')
days. How muclÿ tuna does he need? Is 4 cans enough?
2, Keith would like.t,o bring enough concentrated juice in
order to havÿ2;,?u)s available peLd, a y, HO,,ÿi,!2!ÿch
jui,c,,e.dges t?e need aj?c!.,!S,8 boxes ofconcenÿated juice
oeJmuN)?
31 Six}ther students have been advised to bring the same
"Nenu on the course. How many cups of dried fruits and
nuts will the students be bringing all together?
-- ?;W'
•
•'[[
'
......
' 4. Lyle is putting his videot@es on a shelf. Tiÿe she]f is 12
inches Ioÿ. lfeach videotape ts 1.1 inches wide, how
2
!nanY videotapes can he put side-by-side on the shelf?,
:;ÿ ,2;1
'--t
.... : ..... 3 ';; ÿ "°/"}'
":W; ....
"
..........
ÿ "7
,' '" :--: .... 7
5, While bee-diving in the ocean, Tanya Streeter once set
.
1
a record by diving 525 feet m 3ÿ minutes. How many
3
6. Pauline got 9ÿ pounds of cherries from her tree this
year. Last year she only got 6.1 pounds, How many
4
fbet per minute did she dive?
..........
,',--) ( )
til nes more pounds did she get this year than last year'?
=.<
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Course 1 o Chapter 2 Multiply and Divide Rational Numbers
NAME
t
DATE
PERIOD
Lesson Problem-Solving Practice
Mixed Problem Solving with Rational Numbers
1. Amy practiced saxophone 2 times during
3
the week for 7ÿ hour and then on Saturday
2. Kyle needs to build a fence around his
square-shaped backyard. Each side of the
d
yard measures 90} feet. The materials for
for 1ÿ hours. How many hours during the
the fence cost $8.99 per foot. How much
week did she practice?
will it cost for Kyle to build a fence
around three sides of his backyard?
-?x
zf_ y j
2
--------
q-
3--70/</-
oTTO %-x 9'. ÿq - ÿ7o. 7ÿ
"1
ÿ ÿ5o ;Z
,---0- i
3. To support the drywall in a house, load-
--,z .-5-7-?£_ÿ
Co G 0oo o
4. The tiles shown below will be used to
.1
3. ÿ_ zT-:.ÿ d./ÿ, O L/. o2 S
cover a floor with area 10.5 square.f.e.ÿ,
bearing walls require a stud every 1ÿ feet.
How many tiles will be needed to cover
One load-bearing wall in a new house is
the floor?
1
4ÿ- in.
8 feet long and another is 6.7 feet long.
How many studs are in those walls?
'% -/-ÿ"
ic x% : ÿc-{ÿ-z
lÿs2-.- l l.ÿu-ÿ- i34-,d-
k
& €-.j=//
I 5© 4/u( e 5 1
1
5. Marcellus can run ÿ of a mile in
2 minutes and 30 seconds. At that
pace, how long would it take
Marcellus to run a 5-kilometer race
°
Judy is baking 5 cheesecakes. A recipe
for one of the cheesecakes requires
1-ÿ teaspoons of vanilla. Judy's bottle of
2
vanilla contains 12 teaspoons of vanilla.
After Judy bakes the 5 cheesecakes, how
many teaspoons of vanilla will be left in
the bottle?
79
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Course 1 ° Chapter 2 Multiplying and Dividing Rational Numbers