- --·:.:--- ----·-·.::..--J-	•. ,..  -  .,.-	',""         ··--·----·-·- 	...••          o   •  • o         ••     I

-	(-  .....:..'.o_[.

.•..• ::. :.:-.............-•..••	-...-wo••••••••P... . 'J..

•

. ······:······i·:A f'········	i	w	wOW- - cIvel w	p.robldill - I. •,J {
IJSt.aHthe CJorst eachn 	·	· 	· 	,.	Ct\'- · r V1 Vttt .

Q)12 	.	.	45	. 	.	.     3.·41

Ten whether each umnber iS prime or composite.
. 4.  53 '	'	5. 86	95 	17

TeD. whetlier th,e second number is a muijiple of the first.
2;71 	-	. 	· g. 1;18 	-	-- -	3;81   .	-- 11.  4;74 .

•

J'!t  the  rime fac_torization. Use exponents where p  1e..- ·:· _
78 	13. 126	..	.....

14. At a store, hot dogs come in packages of eight and hot dog buns come in paCkages of twelve. What is the least number of packages_of each type that
. .·-    yqu can buy and have no hot dogs or buns left o_ver?

0\vtttl)

•

...................·.··························t··························-·························

·-    ···   • .•• ••••• P& I 2.

Write eacb.mixednumber as an iMproper fraction.

Comparing Bits and Pieces
... . .   . .

11	2  22.	3   71·	
/ 8	'4	'3	

w.

·}X each decimal· as  On.:
" 0.6	1.25   . 	6. 0.74 .	-1. 029

Write each improper fraction as a :mixed QJ  ber in simplest form.
8. 	9. 	0 	11.

Write each fraction as a decimal.

12.

9 	7 	15.  1.
· 	13. '     .

100 	25

'	· lll!!P.;..,each Pmofrra'.aoas, Use <,>,or =. f iII..i

fhe_ 0• .

s 0

' . 	'	.	Q,	f\

D

3 	4 	1
2o.

u 0s4

22.

7 D11

10 	2

15 	15
•

·.-..-.r.....-............. ...	..  --·--=-- - ·.·-:..;.·..:-.-·.-·.

Write each ·of the -decimal nmiibers in wonJ&
•	23. 12.873 	-	B.ossi

..    .-··-	- -:-... -	·.)..··-   .

.....................44·········-f?. .l...3.
Comparing Bits and Pieces

25.  In a class of 24  -graders, 25%  walk to sChool.,ride bicycles   to school., .
take the bus toschool. and the remainder _ofthe class. are driven to sChool by

.	.    . ,
their p ents or guardians. .	_

. . . -

.

.a.' How many-Students in the dass Walk to·-school? Explain your reasoning.
-. 	-	-

b. Hw

man

y students in the class·ride bicycles to school?  lain your

reasoning.
c. How many students in the class take the bus to school?
·  · d. What fraction of the class are driven to·school by their parent or guardian?
· ·	·Explain your reasoning.

•

e._ What percentage of the students in. the class walk, ride bicycles or the bus,
·or are driven to at school by a parent or guardian? Explain your reasoning.

Label the unlabeled marks with decimal numbers.

Sample:

'  I
0.1			I
0.4	
' I			I	
0.1	0.2	0.3	0.4	

I

I	The step is 0.1.

 , I 	I •	· 27. 	 , I 	I  •
0 5	0.17 	-2.1	-1.8

."

'_-. t,a il.t.J	.oect111ili":i ·   P!iF 	
			
	0.88		
		35%	
			
	0.625		
		275%	

Fill in the mis9g arts of tJ:te le.

•

-..-•zz•	.

N \)'fl! 'if Dc tJ'"\ c_o.-{c.u\o...to( ot'l-+hiun\t)s wc(f(.j 	Pbr'i
···················· ··· ················ ·········································································  ··
Let's Be Rational
1. Jack and Helen are making cookies. The recipe s ys to eombine   eup of butter
with.cup chocolate chips andcup chopped nuts.

a. When these three ingredients are mixed together,how many cops of the
m.ixtui-t: will Jake and Helen have? Show your work.

·.

· b. Jack and Helen decide to triple the recipe.
i. How many cups of butter will be needed?

ii. How many cups of chocolate chips willbe needed?
. 	.
iii.·How many cups of chopped nuts will be needed?

-	..
c. When the ingredients for the tripled recipe are combined, how many cups
of the mixture will Jack and Helen have?

d.·87  . 4 	e. 1+ 6	_,_!
7	6. 3

Estimate each SDDL Use the benChmarks 0,, and 1..	(Do not y so\ 	ve...!)

5	5 	.

•

16	+g-	4.     + 	04+

6. How many bows can you make from 5 meters  of ribbOl;l if making a bow·takes
1 	.-	-
4 of a _meter of nbbon?

: -_:.:.:.	--.---·.- ..-:-	.  ---- ... 	-- i
.............................r &. 5
Let's Be Rational

•	Find each smn or difference.  .Show '( 0u'( 	S1-4(" a.t €..<j'I  !

+

8. 111 4

10.

11 	7

-

1016  38

1.2. 9- 3

13.- .A kitten eats lcup of cat food.Another cat in the-same household eats
.	.	-
6 times as much. How much food does the cat eat?

14. Ken used all of a piece of lumber to build a bookshelf If he made three
Shelves that are each 2feet long.how long was the piece of lumber?

Uxsl

-   1 · -1of4-

2 	4 	5

X

X

19.

1	3f3u

20.

1	25	21

•

13 X -'4

·········· ·····························•••t••••••:..................................................................	p& (o
· 	Covering and Surrounding	•
,\4ind the perimeter'and area of eadlfigore. · Shc\N fav-rnu\01 'HOY K

Scm

15an

2.	e = 18m.,w=Um	e	.

. 23yd

19 yd
I

•
30yd

37yd

Solve.
4.  The area  of a triangle is 6 square units. Both the height and the length of the ase are whole numbers. What are the possible lengths  and heights?

e

Find the area or each triangle.  Sh	:)<mu\'IJt)'(K \ •

. 	13cm

21

46cm

9.4mi

12.6 mj

7. 'fracy has 40 feet of material to make the perimeter of a rectangular sandbox for her little brother.

•

a. What rectangle with whole-number side leDc,aths would give the sandbox with the greatest area? 	·

.b. What rectangle with whole-number side lengths would give the sandbox with the least area?

•	Find the area of each parallelogram below.

                          4on

-· -  :.

·:,.:. ···::

-·· :--·-..·

9. The length of a rectangle is 8 centimeters.The width is 6 centi:Jneters.

a. What is the area?

b.  What is the perimeter? 	-,

10. The area of a rectangle is 45 square inches.
One dimension is 5 inches.What is the perimet  ?

··············•·••······ •·•·•····••········· ························· ···········••••·····•·
Variables and Patterns

P/:  . Q

()

0A Student Council wants to throw a party for students.They decide to have 	•
a breakfast catered and they compare bids of two companies. The Catering
Crew charges $8 per student Urbandale Catering Company charges a set fee of $160 plus $6 per student Make tables that show costs for each company in
cas.,s where 2Q,40,60,80,100, and 120 students would attend.    ("!e<e   "e.,;+ pe)

Plot the (number of students, catering costs) on a graph.Use different
'liZ colors or plotting symbols for points to show the two catering companie& (see  n eJ .t )

c. Write equations relating total cost and number of students for each catering co   ·any.

./.

d. Why,if at all, does it m 	sense to connect the dots on your plots of part (c)?

/

e.  Is there any number 0{students for w  ch both companies would charge the same  ental f	?

f. If 60 studen   signed up to come to the bre 	which company should the
Student 	unci! select? What if 100 students signed up for the breakfast? 	•

.

........
::-	

•

---··i·:-·--,-·.-...- 	_-_-·-·. ,... 	·. •. ----=.-:-. ··---'

Pb.-,

······4····································· 	(}
Variables and Patterns

												

												

												

												

												

U('ct .f\ck\
Ccd-e_y-, n<J Co'tf\par"ly

2. Inparts (a}-(e), use symbols to express the rule as the equation. Use single letters to std !or the variables. Identify what each letter represents.
a. The perimeter of a rectangle is twice its length plus twice its width.

b. The area o.a triangle is one-half its base multiplied by its height. c. Three big marshmallows are needed  to make each s'more.
d.  The number of quarters in an amount of money expressed indollars is
four times the number of dollars.

Q!

First estimate. Then find each sum or difference.
0.6 + 5.8	'	2. 2.1+ 3.4

4. The student council at Metropolis Middle School conducted  a survey to see whether students would prefer  blue, red, or green as the new color for the school logo.The results of the survey are shown in the bar graph below.

.I.l.l.  60
,CLI
c  50
:....  40
....
0
"-
Gl
.Q
E
:'1
z

·  a. What is the total number  of students who were surveyed?

b. What percent of students surveyed preferred blu? . c. What peret;:nt of stnd  nts surveyed preferred red?
d.  What percent of students surveyed preferred green?

e. If 970 students  attend Metropolis Middle School, what percent of the students were surveyed?

G

Order  each set of decimals on a number line.
s. 02,0.6.0.5

I I

•

0.26, 0.3,0.5, 0.59,0.7

• I I I I I	I I I I I

0 	1.0 	0 	1.0
·.

•	<0

Find each product.

5.342
·. 	.xn

.....·...

Show 'fOO 	1--v-o.	t
8. 	0.19 	(I 	6.4
X  0.05	X  O.Q2

··-	..,.. _         .,. .·.....·..·--··- ·-

...................._.... Pbt ' \
Decimal Ops

I

Find dlqnotient.  Show	\)( S1--f·tj	l

& 0.4h.68	11. 0.68 + 0.2

14.' 15)123 	15.108+5

16.  Foreof the following.e ifquotient isthanl or greater than 1.	(-wi o	i"' ')	
a. 9.22 . 2.8	b. 0.9  . 03 	c. 12.6  . 11.8	d. 5.6 9.9	::>	lj	

P&.

•···•···• •···········
Decimal Ops	\1.

•

17. A restauranfoffers' a 13% discoUnt on chicken wings on Mondays. IfTravis
eats $7.95 worth of chicken wings on Friday, how much would those wings cost onMond y? 	Show	()\)f  St<-a.+	.

ke"/ •

18.  Last year, the Widget Corporation had $650,000 in sales.ThiS year,sales are 	\
down 4%. How much did the Widget porporation sell this year?_  Sh ()w 	Cv 'f  St<"G4.

19.  A store is selling a sweater on sale'for $17.90.The regular price is $22.95.Wh	I
percent of the regular price is the sale price?  Sht1W 	'OU (	St f' 0..+ fj'7' ,

Write a number sentence you could use for each situation.

20.  A pen costs $0.59. How much would a dozen pens cost?

21.  A mint costs $0.02.How much would a roll of 10 mints cost?
. 	..

22.  An orange costs $0.09. How much would 2 dozen  oranges cost?

Use   <, =, or > to complete·each statement. F\\	 'n 1-he.. 0,
23. 2.8 x 1C{J26 .100	.	24. 38.6 ·10Q2 ·38.6 ··5 .

25.-.3..1 X 100(05 ·02)3.1	26.  83 · 10 ·108.3 X.100

Solve.
27.  A bicycle goes on sale at 75% of its original price of $160.What is its sale price?   Sh-o'l-.f 'jt:>V '<"   st'f'o..t e 'j

a. 123 X 4	b. 1.23 X 4	c. 0.123 X 4	

d. 0.123 X 40	
e. 0.123 x 400	
f. 0.17.3 X 4()()()	

28.  Use the number sentence 123 X 4 = 492 to lielp you solve·the following: 	•

' -

•

....................................................................................................."0	-u · Pb. t3

1.  Glenda rolled two six-sided number cubes nine times and computed the sum of the numbers rolled each time.
a. If the mean sum of Glenda's rolls was 6, what was the total of the nine sums Glenda rolled?

b. Suppose Glenda's rolls were U,7, 3,10,9, 2,11,7, and 8.
i. What is the median of Glenda rolls?

ii. VVhat is the mean ef Glenda's rolls?

iii. VVb.at is the mode of Glenda's rolls?

iv. Which do you think is the best indicator of a typical roll Glenda made, the median, mean, or mode? Explain your reasoning.

2. Mr.Watkins arranged the quiz scores of his afternoon math class from least to
greatest:5,5,6,6,6,7,7,7,7,7,8,8,8,8,8,8,9,9,9,10,10 .
a.  How many students are in Mr.Watkins's afternoon math class?

b.  How do the quiz scores v3.J.-y?

c. What is the mode of the scores?

d.  What is the median of the scores?

For Exercises 3 and 4, use this information.
Mr. Johnson's class of 20 students collects 180 C3DS of food for the food drive.
Ms. Smith's class of 25 students collects 200 cans of food.
3.  Which class has a greater mean number of cans of food?
A. Mr. Johnson's class	B. Ms. Smith's class

•

C. The means are equal. 	D. There iSn't enough information to tell.

4.  Which class has a greater median number of cans of'food?
F.  Mr. Johnson's class	G. Ms. Smith's class

H. Th

e means are equal. 	J.  There isn't enough information to tell.

•

·······-··························.·.····-··.···················-······························· h ; - ci·- rb.\1o 	_r

Find the measure of eadt angle  eJed X.

G .

Find the measure of angle 1in each figute.

6.

Use the diagram beiow to id  tify an th·polygons_for each 	e . _L \ s+ o.s \"1"\0.'t\ 'I  \ e..t\-e..'f s

e

quadrilateral	parallelogram 	rhombus 	0..5 +-he-re  0.re.
.	b 	*'t f\+ 	-rh
, 	"'-.'f\	me.. •
n: ctaD.gle·	Square	. trapezoid 	. @
·. a. v. .. ·

.• 	•. •	• 	. .. . .

.,  . . .
. . 	.

• 	• •	. . . ...
•	• 	• 	•	• 	• • 	•
. . . . . . . • 	• 	•	•

. . . . . . . . . . . . . . . . . .

:

:c	. .	...·e...o

•	•
. . .	•

.

• 	• 	•

. .. .

. . .•	.
. . . . 	• 	•

• 	• 	• 	• •
f.

• 	•	•	•	• 	•	. . • 	• 	• •

•  . •	·

.	•· ·

• •          • a     •	•	•	•

• • 	• 	•

• ·;••. .-·	:r _":...:. ..-   . .F·._ _:_._·-- · · ..- ·. 	••  ·;·.. •r	. :· -- .-:-·.   . ..

13.  An isosceles triangle bas two 50°..angles. What is the me·of the third
angle? Explain how you found your answer.·.

14. For each of the shapes below find the unknown angle measure with6tit using
· your angle ruler.

b.

In each diagram below,lines Lj_ and Lz are parallel lines cut by a transversaL
Fmd the measure of each- numbered angle.

17.

....,......·......................
Shapes and D igns pb. \ 5

34
2 3

'""'4\-=

m , a ami'

YY\   L t =--­

m 	l=-­

rr1L '2_.,.,.....
• rn£.3 =-­

m i... 2 =--­

m i-·2:=.--...
=- --­

ML'1 =......,_...

. Y"f"\    =-

_.

3

'f'tl L

M L9=---

-	LL-i=--

•

•

•