8" r-'ÿ

l'ÿ,ÿJÿuÿ ÿ ÿ>j, vÿ Test 3.2 Review IÿSJÿ'ÿUt'ÿ.

,ÿ/ÿ "ÿ , .ÿ\ A,ÿ!ÿ/ _.,, ....... .-,boiving i=quatlons and Distributive Property

1. An equation is modeled below. Writethe equation and solve for the value ofy.

4. An equation is modeled below. Writethe equations and solve for x?

2. A model of an equation iÿBÿÿi ..........

below. What is the value of f?

Q ©©©

The equation w + 9 = 5w + 5 ismodeled below. Which value of wmakes the equation true?

.

? I'# I "1• / \

-£/4-7

2x. + P'-ÿ: °";ÿ

5. Abby and Skyler both collect stamps.Abby has 10 stamps and collects fournew stamps every week. Skyler has60 stamps and collects 2 new stampsevery week. After how many weekswill Abby and Skyler have the s_am_enumber of stamps? ÿg$-ÿ.qt4%ÿ"43.ÿ,.- ÿ ÿ ,.,,.,,,'

I o + ÿv,, - 60 ÿ-. :?.ÿ:!-- 2-w -.ÿ'w

6. Logan and ÿan Karloÿre bo't-h sa-vin-g --

up money to buy mountain bikes.Logan has $50 and will save $10every week. Jean Karlo has $15 andwill save $15 every week. After howmany weeks will Logan and Jean Karlohave the same amount of money?

"-ÿ ÿ -ÿ --ÿ ÿ<° v,,-ÿ ",ÿ ,"

6 :; ,> 'ÿ ',/6 --ÿc, < v'#

. 0 +. i o,ÿ,.<£= ) ÿ * ! ÿ v,/

E 0.,,ÿ." +-9' '4,ÿ

I............................................,.£ÿs : :ÿ.yÿil !i V'i ÿ '-/ii.

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7. Use the model to write and equationsand solve for the variable.

Use the scenario below to answer questions#10-12.

/l

m

values.

9 - 3'ÿ -7

'nt: The shaded ones are negative

.............................................. ÿF ., 7

o,8. Draw a pictire to model the equation

4x + 8 = 9x + 3 and solve for x.

9. The sum of one-half a number and 7is twice the number minus 5. Writethe eÿuation and solve for x.

ii -a

I"2= Io5×

00D00000

Maggie and Melany own a local businesstogether and are about to give gifts to theiremployees for the holiday season. They havepurchased small gifts for their front officestaff, and large gifts for their personalassistants.

• Maggie purchased 4 large gifts and 2small gifts.

• Melany purchased 1 large gift and 20small gifts.

• Each small gift costs $10 ,• Each large gift costs an equal amount

of money to each other.

t

10.Draw a picture to model an equation ifMelany and Maggie spent the sameamount of money.

IL:ÿ !ÿ,0 _11. How much did thÿeyÿipend

large gift item?

12. How much did each person spend?

., iÿ ÿ ES A"] "i

2 qO -I- 9. o

F 2<:0o"0

mO -ÿ-ÿo o

13. Malcom walks 10 blocks across a fieldto get to school from his house, asshow below. How ÿe blockswould Malcom have ÿ()waii<-from hishouse to school if a fence was builtaround the field and he had to use thesidewalk to walk around?

Use the table below to answer questions 17-19.Prices listed are per person.

Company Cost

Skis for You $48 plus $5 an hour

Ski Right $28 plus $15 hour

School

.= ..,.,

8 blocks

House i ÿ !7- -7

In #14-16, determine if the followingnumbers form a right triangle.

14. 5cm, 13cm, 12cm' ÿ " ' \. ÿ <.

+ ÿZ ...c i 0

2ÿ ¢-ÿqq = t6ÿ>:'>ÿ ...... ,,

f q. ,/!. ,/es )15. 78in, 72in, 30 in

,,,,- ---71

=

16. 15ft, 10ft, 20ft

it igsÿ" '2 0 ="

tq

17.Your family is going snow skiing overChristmas break and you are trying to decidewhich company to rent the snow skis from.How much will it cost to rent skis for 6 hoursfrom each company?

Skis forYou Lÿ.(ÿ 4" ÿh

Ski Right ÿ? + ÿ5 ÿ'ÿ

18.How much money would your familysave, per person, if you rent from ÿ?

I ÿ" q<'s .ÿ-

'ÿiT ÿ / - {

i ÿ . I

19.After hour many hours do the companiescharge the same amount?

o :J.£;t.ÿ _ q !

20. Luke needs $104 to buy the bike hewants. He saves $8 a week. Write and solvean equation to find the number of weeks itwill take to have the money to buy the bike.

Equation 9 'ÿ,1 -- I O q

Solution (# of weeks) tÿJ ÿ,4ee,ÿ5

g g"

21. Chelsea's Chains charges $6 to rent ahelmet plus $7 per hour. Cynthia's Cyclescharges $3 to rent a helmet plus $8 perhour. For what number of miles do bothcompanies charge the same amount?

, ....

.... ÷3

22. Which situation can be represented bythe equation

Use the distributive property to solve eachequation below.

23. -8(n - 5) = -2(-4n + 1ÿ)

-X4

24. 7(3k + 8ÿ)€¢'-- ÿ4(5k- 1)

C

DTank A has 100 gallons of water andloses 2 gallons per hour. Tank B has140 gallons and loses 6 gallons perhour. When will Tank A have morsewater than Tank B? .... ......

Tank A has 100 gallons of water andaÿ,ÿ gallons per hour. Tank B has

140 gallons and ,gains 6 gallons perhour. When will Taÿnÿ[<'ÿA have morewater than Tank B?

A ÿTanÿ has 100 gallons of water and('gainsÿ gallons peÿour. Tank B has

'0ÿallons ancÿainsÿ gallons perhour. When will ÿnks have thesaÿe amount of water?

Bÿk A has 100 gallons of water andloseÿ_ gallons per hour. Tank B has

+ r14ÿ0ÿallons ancÿsTesÿ6 gallons pehour. When will tÿtahks have thes, aame amount of water?

100 - 2x = 140 - 6x?

25. Howard is 14 years old. This is 8 yearsyounger than his sister Sabrina. Write andsolve an equation to find Sabrina's age.

0 Ct,,ÿ,Jt'ÿ ÿ o -.ÿ-ÿ< --. ÿ 0, t.,ÿ;ÿJ

Represent each statement as an equation.

27. Negative 5 times the differenceof a number and 3 is 9.

28. 6 pies more than three timesthe amount Faith bakedyesterday is 27.

29. The product of 8 and a number, c, is 12less than twice the number, c. Find thenumber.

_ ÿ. 1"-"

¢-- --tZ

:Ts

-i:7:<--}

26. The table below shows the number ofbooks that 4 students bought at the bookstore, along with other purchases theymade. Sawyer and Collin spent the sameamount. If each book costs the sameamount, write an equation to determine thecost of each book.

.ÿ_ÿ ....... s..ÿ_ÿ,,ÿÿ

30. Devin has saved $725 for a new drumset and lessons. His drum set costs$475, and drum lessons are $25 perhour. Determine how many hours oflessons he can afford. (Set up and solvethe equation)

"25h, 2 io;='" ÿ=J ';4 IIK

] T {X ..... t ",

1, II ÿ \-' I

Student

SawyerMichelleCollinErica

# of books

5643

Otherpurchases

$35$42

$40$24

....... 7-:'< i Y.I:

I

@, % "!>

s

" qb"-ÿ, + =o, 0 "- , -4

--s b - ,ÿ:b

Eÿ m b

................................ [7_ ............

31. Your bill for the music plan on yourphone cost you $109.74 last year.The plan charged you $10.99 for a yearlyfee and then $0.79 per song. Write andsolve an equation to determine thenumber of songs you downloaded for theyear.

-1 -- I o, 9 G

o>Tq s = 9 1ÿ.'75

,71 °79

• .ÿ:' i!! !<=ÿ'o I32. Gaby's Gym charges a yeaF[ÿ'f{iÿ""ÿ"'ÿ'ÿ'ÿ"'"ÿ'ÿof $75

plus $12.50 per session for a personaltrainer. A new fitness center charges ayearly fee of $100 plus $10 per sessionwith a trainer. For how many sessions isthe cost of the two plans the same?(Write and solve the equation]-ÿ

+" !::7'ÿ c ...... ,=<,", ,,,,.-. kX . 'ÿ

-T5 -7s2, Io ÿ" o ":> -%