NAME

Vocabulary Test

DAT£ PERIOD

:SCORE

annex 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

2. When dividing ft.actions, it is .mosthelpful to change a .mixed numberinto a(n)

L fraction

improper2. fraction

3. The era fraction is the part that tetls how manyunits the fraction contains.

4, The states that the order in which numbers are

multiplied d0.es not chang# the product

3. numerator

Commutative= =

4. Property

is made u_p of a ,vhole number and5. mixed number

46. tn ÿ, 5 is the-

17. The ........ - .-of 2 iS "ÿ.

Define each term .in },our own words.

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

2

E"

5"

K

g.ÿ-

S2=

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 costof the scented oils needed to make each kind of soap.He needs 5:5 qunces of scented oil to make a .bat.ch..pfsoap, tf he wants to make 2 batches of lavender soapand 2 batches of vanilIa soalÿ[i81ÿ,ÿuclÿifÿsney will he

2. ionas fhvorÿte peaches arÿ$2.50 p..er p. ourÿdÿ.t the locaJfarmers market, She boughÿ., pounds 9fthe peaches,How much did she spend? ............................

OLI [ Costalmond i $1.23 per ounce

lavender ! $1.54 per ounce

vanilla $1.65 per ounce

melon $ 5,12 per otmce

.... <9 d. > ' :' :" " ÿ ¢ #dÿ ÿ:,::'7 ;:ÿ"ÿ:ÿx:" ÿ-:ÿ4 .... ÿ:-ÿ;: ?7 \ ............ ÿ. 5ÿ:&,,zJ/

"'; ..C:/"--ÿ

:"; bÿ:ihJ

"ÿ f!ÿ (: 0

4. Aria bought a van t.h,ÿhoJdÿ 20.75 ga!Ionÿofgas andgets an average o,f'1:515 ÿ;ili;ÿeÿ-ÿllÿ;li,"How many

taxes?

,L,"-.-ÿ Lÿ ,.0

.................. .ÿ...

• ÿ; ........ ...-< :,. ............................. . !

/ÿ":'ÿ %, ' ......... % ,5.

His paychec]?" glÿdgÿs"tlÿat" he worINd'20ÿ88 'h0i,rs"m, erIsh; makes. $8.a0 an hom;tolhng sushLaÿ&restaurant.

the past taro- weeks. How much dki°IsIÿgIÿe" be)'ore

6ÿ Mammy is-on vacation in France. He has rented a car todriv@33.3 kilomete.rs fi'om Paris to Brussels andwantsW.8ÿgÿredtÿiÿie distaÿce.Jn..ÿniIes, Since 1kilometer is equal to aboutg£62 mi!.ÿ be needs tomultiply the total kitometerslSy'0.62. About how manymiles will Manny drive? ..................................

.y ".,. ÿ ,.% #

$I ":"; " ÿ ffÿ ÿ f"

t v{-d:i;ÿ:.i ..........

/ ÿLd,,:..; l.,Cÿ,'_>!, " c Lÿ:.) ' "ÿ:" 1

-. ............................. :;::s-

miles can she expect togo on a fuIt tank?

Course 1. Chapter 2 Multiply and Divide Rational Numbers

NA,ME

Lesson Drobtem=Soiving

DATE

Practice

PERIOD

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; '%.")

;:i ÿ,,,,<::ÿ ÿ;ÿ Men's Wheelchair

<- <'ÿ i iiÿVh.eelchair,.,°.ÿ;.r ,<+>.

Cÿarse !ÿeords for ÿhÿ ÿostÿn Marathon

Reeor.d Holder

.Geoffrey Mutai

Margm'et Okayo

Joshua Cassidy

II YÿaF20I 12002

i

2012

Wakaka Tsuÿhida 201 t 1,568

Time (h)2,050

2,345

I,307

........ ;ÿg7":" -ÿ:;ÿ;rÿ ............

r).

.... q":;ÿ L";," ÿ:+!;ÿqi: ...................

><ÿ,"X. ÿ+ .

"U,0"? !.-.O

Theshownin the table to oM{:iTfitdthe miles peÿ, hour foreach division winner. Round to tlÿenem'est thousandflÿ.

%< I" "ÿ"' I ,< 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" .......

......... ÿ;7..+.:r,.: 0ÿ I

b <sÿt%ÿ j / ÿ;: ÿ,<- ,ÿ tÿ`'::::ÿ'<ÿ ...... Ii! <ÿiÿ 0 t .... ÿ t,.;t.,..,:ÿ ÿ ÿ::, I "<47

""". ................................... _i:.._.:.7::.2:-ÿ;i-:f .<,,< ] --

t

( ....... '<ÿ" - t6. Yori has]tÿ.25 culls€of cupcake batter. If each cupcake /uses 0,7) c:up"of batter, how many cupcakes..ÿan Yon imÿe?- ............. I-i ..................... " I

6 '-ÿ ÿ i ÿ- ÿ ( ; .... X = "<-. i' "-,c..',ÿ,ÿ!ÿ>' 'ÿ '.:ÿ2-ÿ .----> , +< ' J'.

" ...... =, /* ,ÿ- ÿ / " ÿ= Y" ; f< "-

<.ÿ ÿ ÿ<-> ..................... ,. .................. ,ÿ,,,1+"........ f . ÿ? ÿ::,.

:: .......... -7!f ........

t

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.

3/" : .,.-*

Chocolate Frosting Recipe'17 cup butter

2 ounces melted unsweetened chocolate

2 cups powdered sugar

12 teaspoon vanilla

2 tablespoons milk

•, : if;

/-,->d t

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

, o<ÿ°°"< :C7;;',-,, ÿ ÿ', "ÿUJ .... . . ..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?

2, Suppose Georgia wanted f0 double,flÿe recipe; whatwould be the measurements for e:ach ingredient?

,';,t .£ L}

4ÿ.dÿ< ":.OÿP ÿ ÿ:.4".gtÿ::ÿI

,.2

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. Abouthow many did not exercise? " -; .............. " "

,%7 .: I---. i{iÿ +::" .ÿ ,... ,,

., ?".. i: i..dyÿ

72 "ÿ::'7, ............

" "Cÿ'' i"1IL)L.-'

,h'.;g9 .........................>'-4ÿ,,'jÿ" ."v', " ÿ .ÿ ÿ .--'W

,ÿ ÿ <.,...< .

5o Catherine waIks her do milÿ daÿHow far doesshe walk each week? ............ ÿ

.,-- )... 2::---;:;

,+*, {

'.-.} W< {, "

; :,W4ÿ I"<r ÿ..-ti. • +,,., i ÿ S ÿ"

6, If you ÿractice a musical instrument each dav!f0r - of an

hour, .how many....hours of practice will you get in'eachweek? ..................... " ............

:-:. ::,.3 !17 ,:ÿ.3

:ÿ7i3%,--" 2,, ........

%j"

Course t, Chapter 2 Multiply and Divide Rational Numbers

NAME DATE PERIOD

Lesson 6 Problem-SoNing

Divide Fractions

Practice

FeT £xerdses 1-3ÿ use the taMÿo Thÿ.tabla representsfh,ÿ distances from Nashita's vacation house to fhevarious shops in iowa, ........

Distanee,in ÿ,ÿ]es

Sam's Surfboards

Mick's RiYerside Tours

Pete's ParasaiHng

Beachside Clotÿiers

34.

3

3s27

i

t. Nashlfa walÿ,.t<Sÿgs SUrfboards° As she Wa.Ik% ÿheA1 .ÿ,

stops everyÿ mflÿ to take a sip from her water bottie,k ,..'"

Hÿ,w manytimes does she stop*

"W'ÿ /', C ....... :°-

2, On Tuesdaw Nÿ,shiÿMks to Pete!s Parasailfiÿg, She:" - " / i %, ,

fÿeIs a breeze eveÿ,ÿ, ofÿ,,., mite, How many times

doÿs she feel a breeze?

.... ,, ..... _.ÿ.ÿ.o }

..... - f dÿi L j:; ÿ ......

% "ÿ.,,'m ;:ÿ oL.,.ÿ ./ ÿ.ÿ--.. 65/

...... 1".7°` ! ¢".:..;, ÿ'%ÿ "'-'Yÿ ''<: i°)fÿ').ÿ:;-ÿ;ÿ.-":"ÿ'

5, h -mile relay rac% each runner ruÿ,s ÿ Aile..How

many runneÿ:s.are in the race?

.......... ,w ............

3::)

[

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 ÿobehind Ne clouds? .....................................................................

4, Brenda.iÿe-nmt of mint ohoeolate chÿp ÿoe oream, If3¢:2°'% /3""ÿ.- ;,'o< . . . J

Mm'k ate - pint ofmalt -ÿce cream. How many tÿmes I;.&..j- .................more ice oremn did )#!ark eat? ...................... I

: .... , ...................... [I;i ÿ ! !

' X"':2 ÿ-.

d;,ÿThree fomÿ!s dÿ'ÿollÿ-ge"studetkts use:the hÿternet morethmi NÿfibtNy..Nÿ!ÿe hundredthg'uÿe the hbrary more.

_..o,ÿ

:",: ,5 ,!,4 Lÿ

/

f,:2

i i,.

i' ÿ -vÿ.,,o-ÿ-, ÿo;;:-,,,;>

Course I ÿ Ohapte,r 2 Multiply and, Divide Rational .Numbers

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,

Peanut butter

Dried noodles/rice

Dried fruit/nuts

Concentrated juice boxes

Beef jerky

Powdered milk

Dehydrated soup

Canned tuna/meat

Food Options for %Day Outdoor Smwival Course

1 plastic jar = 4-s cups5

14-32- cups

6-1 cups6

8 boxes = 16¼ cups

3£ cupss

1 box = 8.4 cups5

5 packages = 153 cups

5-3 cups4 cans = 5

+ [ ;[ 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?

31 Six}ther students have been advised to bring the same"Nenu on the course. How many cups of dried fruits andnuts will the students be bringing all together?

-- ?;W'

• :; 2;1• '[[ ' ...... ÿ , '--t

.... : ..... 3 ';; ÿ "°/"}' ":W; ...." .......... ÿ "7

5, While bee-diving in the ocean, Tanya Streeter once set. 1

a record by diving 525 feet m 3ÿ minutes. How many

fbet per minute did she dive?.......... ,',--) ( )

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 juiceoeJmuN)?

' 4. Lyle is putting his videot@es on a shelf. Tiÿe she]f is 12inches Ioÿ. lfeach videotape ts 1.1 inches wide, how

2!nanY videotapes can he put side-by-side on the shelf?,

,' '" :--: .... 7

36. Pauline got 9ÿ pounds of cherries from her tree this

year. Last year she only got 6.1 pounds, How many4

til nes more pounds did she get this year than last year'?

=.< "v .- I "ÿ--J ..... ! tÿ )./ÿ:;'.'J(;,

"ÿ+,ÿ ÿ .....> ,.

Course 1 o Chapter 2 Multiply and Divide Rational Numbers

NAME t DATE

Lesson Problem-Solving Practice

PERIOD

Mixed Problem Solving with Rational Numbers

1. Amy practiced saxophone 2 times during3

the week for 7ÿ hour and then on Saturday

for 1ÿ hours. How many hours during thed

week did she practice?

:T9 t c

/!/

3. To support the drywall in a house, load-.1

bearing walls require a stud every 1ÿ feet.

One load-bearing wall in a new house is

8 feet long and another is 6.7 feet long.

How many studs are in those walls?

'% -/-ÿ" ic x% : ÿc-{ÿ-z

& €-.j=//

15. 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

°

2. Kyle needs to build a fence around hissquare-shaped backyard. Each side of the

90} feet. The materials foryardmeasures

the fence cost $8.99 per foot. How much

will it cost for Kyle to build a fencearound three sides of his backyard?

-?x2 -------- 3--70/</-zf_ y j q-

oTTO %-x 9'. ÿq - ÿ7o. 7ÿ--,z .-5-7-?£_ÿ"1 ÿ ÿ5o ;Z

,---0- i Co G 0oo o

4. The tiles shown below will be used to 3. ÿ_ zT-:.ÿ d./ÿ, O L/. o2 Scover a floor with area 10.5 square.f.e.ÿ,

How many tiles will be needed to coverthe floor?

14ÿ- in.

lÿs2-.- l l.ÿu-ÿ- i34-,d-

kI 5© 4/u( e 5 1

Judy is baking 5 cheesecakes. A recipefor one of the cheesecakes requires

1-ÿ teaspoons of vanilla. Judy's bottle of2vanilla contains 12 teaspoons of vanilla.

After Judy bakes the 5 cheesecakes, how

many teaspoons of vanilla will be left inthe bottle?

1 :ÿ iia(,_-- 7 ,'(?ÿ__ -- -7 '"ÿ

79

-[., i/..ÿ ÿ

,@

Course 1 ° Chapter 2 Multiplying and Dividing Rational Numbers