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Name:
Date : _ __ _
Sheet # 07-03
Class: Pre - Algebra
Percents - The PERCENT EQUATION
#1 - 10 COMPUTATIONAL P RACTICE - Write an EQUATION for each problem. Then solve. Round to the nearest tenth if necessary.
i
What number @ l2% @ 150?
llXJ
What percent @io@ 9?
6
x .4-o =q
X= .IJ • l5 o
A store sold 550 video games
11
during the month of December.
If this made up 12.5% of its
yearly video game sales, about
how many video games did the
store sell all year?
t-lo
40
X:: .225
J)l::: 18 /
~
2.
What@)6% @ 200?
-
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2
27 @ what percent @ 50?
7
"J© -
J)( =121
3
0
Whd @
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f))'i/o (QJ)f 0 ·
D
J
10
What@l4% QP 150?
la>
people aged 18-24 gave up
their home phone and only use
a cell phone. If 3,264 people
only use a cell phone, how
many people were surveyed?
0
Cell
fhoMi J 2.CA
o~I~
lf~.1a ...
= 3l<OtDO
2.5
Suppose you earn $6 per hour
at your part-time job. What
will your new hourly rate be
after a 2.5% raise? Explain.
13
&ll
0
rx = I 30 5k, '
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D
1
· 2s
3@4% ~hat number?
9
z. 5 u/.
r
--X- ---/oo1:---
StirtJe~eJ
Z5X
X=.14°1 50
rx: 2d
2(,
r5o =-xl
Ix= 35 l
4
12
_fl_~ ~
0
J_
~
100
/VD
x=
12. .5
A survey found that 25% of
13 @26%~hat number?
8
= 5 5000
IZ . 5
,g =X
@
Find 50% of 70.
12 . 5X
lJ=
~
t\b
I o
X=- G D.200
=X
@
5
~@what number @ 45?
21 @ what percent@J40?
lO
JI =- X 40
1o
Lf o
C>
1aj
llfO
.2\
T
0
x= 45
olL
X-= Ii 3-Oi--<o .
flliI1
IOoi..
G
(00 x::: l?.
I~
/VO
X-=- 15 ~-this 15
0
~dJt'..
!2ll1.s-e. fx !,r.,_
G+ .IS
@)
r(loru_y
_
14
Use the graph to solve. What number represents
100% of the fall student athletes? Explain.
Student Parti ci patio n in Fall Sports
~
0~
~ ~
g~
:z ..,
=
;;;
60 f - - - - -
I oo·lo
<l\ eGC\~ ..\-~
12.+ZH- (,2+45
50 f - --
~--j
40
\o\-c\
/ 110
30
20
17
Without doing calculations choose the equation
that you can NOT use to answer the question.
..!2.- . :A
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of
/ 01.)
T
I
24 = 60
w 100
A
Fall Sports
Tole.I
aJJ cl\
7
2..:A.1:>
j
X
o)(
24 -- ; )(
,.,
24 = .:.w ./
5
D
,
~' Persevere with Problems About 142 million
people in the United States watch online videos. Use
the graph that shows what type of videos they watch.
24
v © -=w
60
24 =.6 • w
B
0
24=®
I
10
0
15
24=.<oo
24@60%@ what number?
,,... ..
18
Fill in each \ __) with <,> or= to make a true
statemen~OUl(5 a~
I b. -~su.i i-kh~Jl c.
e \
-?
a.
5.56 (( )
,_,
s~
7
4 .021
(i~
88% ~)
.../
4.0092
o..ILJO
90
SB'{,< Cfo
5.Sbo < 5.=i14
0/.,
MULTIPLE CHOICE
19
Millions of Viewers
PART A About what
percent of viewers watch
comedy, jokes, and
bloopers?
PART B About what
percent watch news stories?
NeNs 11.0Z.
X
Tu-\-c:.I
2. 3.f. 3 100
2.
34. 3 )( =+4°2.
2..34.~
'X
Z34.'?>
=1<L1i+tc; .
@
day, she hiked 50% of the total distance. The
second day, she hiked 25% of the distance
that remained. How many miles did she hike
the third day?
B
s·o"'
...,l.:i o.f
3i
7_!_
\o\J
_l,, '.JO
d
15 miles
\"'< ~('..~
11 ..!_
4
4
2
D
22I..
2
A
<[)
sondw1cho
40 1..
Sandwiches
I Chicken
504
c
680
576
D
720
0
20
51-<o
If60%~@ 18, ~0% @he
number?
A
3
~
B
16
D 30
• fol{) ..
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3'-~ ~O.j
'N X\o.\ ') \~\\ ~
30-15
IS
J
5- 3.:\S
l \ - 7-5
II ~
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22
27
x = 18 -then H=., 90 x
0~
'j = <Jo 30
0
)( ::. 30 21
28 '{,
JJ_ oj 800
~+cJ
1:6 Silvia hiked a 30-mile trail in 3 days. The first
A
In a survey, students
were asked to choose
their favorite take-out
food . The table shows
the results. Based on
these data, predict how
many out of 1,800
students would choose
sandwiches.
o
4 = 21-
Which equation represents the statement below?
\ ~@:11-iatnumber@<:.4? ) ,,SQ •X =C.
@
64=0.8xw
C
64=%xw
B
80 = 64 x w
D
64 =-&e-5'< w
Taryn 's grandmother took her family out to dinner.
If the dinner was $74 and Taryn's dinner was 20%
@ the bill, how much was Taryn's dinner? /00
A '$6.80
c
B
@ $14.80
$7.20
$9.50
.zo . 1-4
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Name:
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Percents - Percent of a #
Date: - -- Class: Pre-Algebra
#1-15 COMPUTATIONAL P RACTICE Find 5% of300 by writing the
percent as a fraction.
1
Sheet # 07-04
Round to the nearest hundredth if necessary.
6
.-3&>
JjW
Find 40% of70.
[any method]
ll
[any method]
/0f] . 35
::t--
J__
Find 160% of35.
-0
/ UO
_j_ o~
/Oji
)-tr
*
g tJ ..J8'
QI]
F
/}_b]
Find 120% of 75 by writing the
percent as a fraction.
2
_!q_ 015
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-
G
I
1s
,f
-
J.B
0
7
What is 15% of 100. [any method]
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I
15 -1-eer
12
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):-0
/ 3QJ
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ff
2
I 5p-
JJI]
b
Find 150% of20. (any method]
/IQ]
Find 25% of 180 by writing the
percent as a decimal.
· 3
Find 75 .2% of 30. [any method]
I
o ::/ 5J{ Jo)
tro
025(180)
@]
8
q0
Q
3 b 0 2..
r 22o Sb]
Find 150% of28 by writing the
percent as a decimal.
--"2-8
1.5(28)
/ .~
.14 0
1i?7
0
/.Ji=_J
2g 0
1 J.o!?;
5
·
What is 75% of 280?
method]
MJ
[any
9
Find
1
5- % of 60 . [any method]
0
[99o]
14
Find 0.15% of250.
Z5o
___
. 00 15_.,.
125 C
250 0 '"
., 3 .:f.? , 0
@
Find{i)% of 500. [any method]
.a
"lo
[any method]
2
2
5 -5 %
. o55{ ~o)
10
q9
IHJ
21-~I
:f"s~
4 ,
Find 1000% of99. [any method]
_!_010
· · ·-~ 11
o2..~
I
o~
13
15
Find .3% of 80.
~003(80)
/.240]
[any method]
80
• 003
~~
16
Mackenzie wants to buy a backpack that costs
$50. If the tax rate is4 5%) how much tax will she
pay?
Sarah went on a one-day bus tour from Las Vegas
to the Grand Canyon. The cost of the bus ticket
was $80. She also paid 15% of the cost of the
ticket as a tip to the bus driver. What was the
amount of the tip that Sarah paid the bus driver?
21
.OG5 (5o)
T~ 3020
17
_LL .
Mr. Vitale earned a 4% commission on the sale of
a hot tub that cost $3 ,755 . How mucli did he earn?
· 04(3155)
lJ
. i. ~
80
IOU
A
$5
c
$15
@
$12
D
$19
The graph below shows the languages spoken in a
certain town. If there are 800 people in the town,
how many people can be expected to speak Spanish?
22
/50o 20f
50 •/.,
Jo°/..,
-/- 5·10
18
12
-.9:tr'
.r IS"/.,.
Refer to the graph below. If 275 students took the
survey, how many students can be expected to
have exactly 3 televisions in their house?
English
50%
-i.
I
oi.,
- ·
'ii
~
(24D]
3o1.,
Vietnamese
15%
spe"'k. 5pc1wL
~
3o
/OO-fO
Survey Results of Number
of Televi5lons l1 House
o( 8cP
Other
5%
MULTIPLE CHOICE
23
. 19
Suppose there are 20 questions on a multiplechoice test. If 25% of the answers are choice B,
how many of the answers are not choice B?
25io Qf(e 13
t5'f., au~ B
1510
of
20
3 ~
.Ji-'.
Marcos earned $300 mowing lawns this month.
The pie chart below shows how much of his
money will go to different tasks. How much will
Marcos have to spend, after repairs, savings and
camp fees?
I8"k
Marcos's Money
Repairs ..f 20'1°
18%
.f ~ ) '10
Spending
Money
tJ't
,
(t5ans iJJ°e(5 l
savings
20%
Camp
ZT1.. of JaJ
3
_l.!. . -3-00·
Fees
35%
2o. .In3%addition
to her salary, Mrs. McQuade earns a
commission, or fee paid based on percent of
her sales, on every vacation package that she sells.
One day, she sold the three vacation packages
shown . Fill in the table for each packages
commission. What was her total commission?
A
B
100 - ?-~
$27.00
@ $81.00
D
$55.00
.IJt4t5
Q
J-=i
$100.00
_L
<(I
24
(£$,.j Reason Inductively
When is it easiest to find the percent of a llllmber
using a fraction? Using a decimal?
f(()c~o() -7 lohe() de<loml()Jo/ ea5.~
1rik
fleduur
nuntLYl c~~.
Co. fcu lo..~\l.. of! Jt- '5 a a
~1mplt lb mu l~p ty
-
Name: Al'151A)et A{gA..(
Percents - Percent of Change
l
Date: - - - Class: Pre-Algebra
It is NYC law that no rent can be increased
more than 2% any given year.
PART A
Ms. Bisal lived in an
apartment that cost $900 a
month. The landlords
asked to raise the rent to
$930. Is this legal?
}ict(IJ I 3O.tt/ X 1o
ot191r'I
/qooi1trfl)
~ J .3 1o
!Vo ·' 0vet. le9a/ 21.,
1
#3 - 6 COMPUTA TlONAL PRACTICE -
PARTB
Now her apartment is
$1900 a month. Can her
landlords legally raise the
rent $30?
lflc/ea~e _QQ_ { x ----·
0~ 13 ril I qooTWo
/qoox = Jooo
1900
01.w-;;:;JTl?oo I
abuuJ l G1. 1fesf
2
28
35
40
9
Inc
i sl
4
i)ec:
31
y.
40
I 00
z1i_ I oo x =3000
I OU
J
~
3
J'toD
If you are renting out an apartment for $1500 a month and
you want to raise your tenants rent to the maximum legal
amount, how much would you charge?
lr1c1ea1t- / ~
Use what you have
learned to fill in the missing parts of the chart. Express all percentages to
the nearest tenth where necessar .
x::: 1.51 ....
PART C
Sheet # 07 -05
I uo
IcJO
x:= 301 ()[{et<. 5 e
= / 15 3o]
5
J 5uo -1- Jo
In standard scientific investigations, a percent error of
fewer than 5% is acceptable.
In a high school laboratory, conditions are not as ideal
as we might like them, and we won't quibble with
anything under l 0%.
120
210
Increase
75%
35
14
Decrease
60%
In a lab experiment you are measuring the density of
mercury.
You calculate the density to be 12329 (kg/m3).
The actual value is13579 (kg/m 3 ).
Is your error acceptable? Justify your response.
35 -
eri reis
· t.q_,,.,~ /v
.
0
7
21
Robbie Humrich and Joey Roes are buying new cars. Robbie estimates his monthly car payments will be
$360, but it is actually $320. Joey estimates his monthly car payments will be $560, but it is actually
$500. Who has the greater percent error? Explain how you found your answer.
'12obb1e
erroi! ~ 3bO - 320
~ o e4
erny
tvror
x
tuO
See Wo(!.K.
8·
The average weight of 6- to 11-year old children
increased from 65 pounds in the early 1960s to 74
pounds in 2000. What is the percent increase in
weight, to the nearest percent?
A
12%
B
13%
lno ea~
@ 14%
D
9
11--0 )
fYlcreas..€
q
X
Ort131t1 ti!
c5
I DD
10%
B
20%
10
What is the new amount when you increase 40 by
25%?
50
B
65
c
70
D
100
ll
Inc tZease. x 25
4 D I UO
Or131l'wJ
38%
~ = ~13
c
Original:900
New: 1000
~
®
Original:30
New: 60
e'l'l'Of
fi~.~~~aT~~~~~d .1~0~
Tom wants to buy a CD that regularly sells for
$21 .99. The store has the CD on sale for a special
price of $17 .85. What is the percent decrease in
the price of the CD? Round to the nearest whole
percent.
4%
®
19%
c
21%
D
81%
15
decveast 21 qq-11-85
deuea se 4 141 x
or< 191flci .21.qq 100
X=18.32. ..
The transportation department recommends
increasing highway tolls by 20% to raise money
for road repairs. The current highway toll is $1.50.
What will be the new toll after the 20% increase?
Show your work.
20~/o lt1CYf <Ht
/00°/., l lo~to
0~ 1911101 ft. 5D I 00
ll 01->
Y... : • ) tVlcreo\e
I. so +
0
/.l( /,So)
'.)
/.80
I .~
140
Answer$ / •
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16
1£_ _ /. OO
30
A fence company estimated that 2,700 feet of
fence was needed for a job. The company
overestimate . After completing the job, the
re a 1ve error was 8%. What was the actual
amount of fence used?
A
2,200 ft
B
2,216 ft
So /)100 is I08fu
c
2,484 ft
}100= l.OB(x)
®
2,500 ft
&"lo Ovet I001o
I.OB
A Herl'Jc.le MelhoJ
Increo seLx_f_2.{,./.,
50
Go
q00
5 2,00o- 50, 000
40%
~ lJ Y/o o.f 40
Which situation represents th
increase?
Original: 140
New: 200
12
1
rYle-1-h\.)j
LJo+IO
Ji ~o. zs
B
AI-leme.k
f. d.5 (to)
x:; 10
Original:60
New: 75
A
B
A
80%
~
3.8%
14
© 25%
D
A
D
Tyler saved $20 on a coat. The original price was
$80. What percentage discount did Tyler receive
on the coat?
-
A
Ernie estimated that he earns $52,000 a year.
When he added up his paychecks, the actual
'"'amount was $50,000. What is the relative error as
a percent?
© 4%
'X ~ /'5-84. ..
15%
13
I .QB
Zsoo =-X
J ccAta
Ruben bought 6 new books for his collection. This
increased his collection by 12%. How many books
did he have before his purchase?
I{\ C( ea s~
Oo31flc.I
I
8"6
ro _____ ' 12 ·/y
X~.,
x= 50
50
Answer - - - - " - -- -books