Algebra I Section 3.8D Worksheet
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Jane's salary is 4 times Mary's salary. Together they earn $150 per week. Fincl the
salary of each girl. \
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2)
a game, Harry's
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their scores.
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score was 3 times Jose's score. TogetheVthey scored g0 points. Find
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than twice tirr"'"
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Findeachoftheirt*""
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The sum of their ages
Tntr T vrs
flNòarr.
is
24years.
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4)
boyling score is 5 less than 3 times Ralph's score. The surn of their scores is
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215. Finrl the score ofeach.
5)
The second of two numbers is 8less than tv¡ice the
6)
The larger of two numbers is 7 more than 5 times the other. Their sr¡m is 55. Find the
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8)
9)
two numbers.
40
is $30 less than twice the first part.
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S_ixty-eight, students áré sép'árated into two groups. The
the second. How many are in each group? -
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a) il
ñrst group is 3 times as large as
Si$d-t-Ìah
Separate 43 people into two groups so that the first gmup has
number ofpeople in the second group.
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11)
141
r : thät
the second part
A 30-m board is
into two pieces. The longer piece is 8 m ronger than the
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shorter one- Find
the length of each piece.
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10)
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Separate $90 into t'wo pårts so
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Fincl the two
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laro'e
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first. Their sum is 1g.
flot¡rh
numbers. l)È : l
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x
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less than 3 times the
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Þtõpi(The second of three numbers is twice the first, and the third nr¡mber is 6 more than the
second. their sum is 26. Find the three numbers.
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14
one month, John wSrked 3 hours less than Tia, and Felicia worked 4 hours more than
Tia. Together they worked 1g6 hours. Find the n'm, bers of ho'rs worked by each.
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-,'13) The smaller of two numbers is less rhan
3
rhe *rJ"o¡ fiín"9$"kí"* i" ¿"rr"u."¿ ¡y
twice the smaller, the result is -5. Fincl the two numbers.
12)
k9 hrs,
,
Srnq[\-,r"
Iar''lt^r =
tI
7
fui
14) The greater
of two numbers is 3 more than the
the greater, rhe result i" S0. Fi.¿-;he;;;1".". smaller. If twice the smaller is added to
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g
¡¡
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15) The second of th¡ee nt'mbers is á times the
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the second is decreased ¡yitri"" tir"i-rriö first. The third is 5 more tha¡r the second.l..
the .esutt is 5. Find the three nr¡mbers. . /
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16) The second
:'ff;"'l:
is z less t¡ao B-times the first. The third is 18
less than 6
"t'o{}t"Jpt"rs
u*r.
rrrwice rh" fi'.tilã;;I"*".¿ ¡v tn" tärä,
titî.åt-rs -8. Find rhe rh¡ee
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3)
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5
17) The second of thíeá odro¡"."
is 4 time
first. The third nu¡nber is 12 less than the
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first. The sum of rhe rhr"" ;"d;;;; the
Tiì
tr," numbers.
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18) Brand x contains
brznd
X
=
6)
1t,
_3
pills tlun brand y. If-five times brand x combined with g
times
pifis; fi;d;d;;b'"; of pills per botle.
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T.
10 p,lt¡
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r eq{
is
a)
12-less
19) The third m¡mber is 5 less than twice the first.
is twice the first
m¡mber' 12 ress than the ti.st ¿ec.ãÃã¿ ryirr" The- second m¡mber
_15. Find the th¡ee
trri.a
is
equal
to
numbers.
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3ril
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20) Find *r.""
"ol*ulYtive
integers whose sum is g7.
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21) Find four consecutive integers
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,oo.
"oo"""o*rl
rio
whose sum
is
i"": *J"*Ll"n'rL,
1o r JÀ,
1Lt
23) Find two consecutive odd integers
S-g
5ì,
t
r
rwice rhe leasr increased by rhe grearesr is
JG
whose sum
is
116.
24,) Find two consecutive even integers whose sr¡m
is 126.
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25) Find four consecutiv-e odh int"egJrs
whose sum is g.
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t
2
26) Twice-the greater orríol"or1"".orlr"'"uo iJr":".. is
18 ress rhan rhree rimes rhe lesser.
Find the integers.
27)
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Given three consecutive mrmbers; if 6 times
the first uçvrçaùç(¡
decreased by
r'v the
urre iBrd is equal to
Find the three nr¡mbers
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t3g.
B9g.
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28) 5 times the
second of thrce cor¡secutive odd numbers decreased by twice the
155. Find the three mrmbers.
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29)
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¡
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J
thiril yields
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The length of a rectangle is 5 cm more than the width. The perimeter is 38 cm. Find the
length and the Y\¡idth.
w\dth: 1 ctul
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rectangle is m more than 6 times the width. The perimeter is
len.1{ar,
30)
The length of a
8
Find the length and the width.
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31)
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o¡
Lv'\''ì
The length of a rectangle is twice the
each
lvl
t enrl
side'
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r,\dLhr lO
cy-y-t
Ì/idth. The perimeter is 42 cm. Find the length of
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32) The length of a rectangle is 2 km less than 3 times the
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How long is each side?
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33)
c wa
width. The perimeter is
3
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l-[¿\
68 km.
g
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lLrv-l
The length of each of the legs of an isosceles triangle is 5 times the length
The perimeter of the triangle is 33 m. Find the length of each side.
Ba¡¿,
156 m.
ofthe base.
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M) The length ofÈach of the legs of an isosceles triangle is 3 km longer than the base. The
þerimeter of the triangle is 24 km. Finil the length of each side.
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35)
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cm longer than the second side. The third side is 4 cm
The first
"id"
shorter than twice the second side. The perimeter is 31 cm. How long is each side?
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36)
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The perimeter of a triangle is 47 km. The first side is 5 km shorber than twice the
second. The third side is 2 km longer than the first. Find the length of each side.
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37) One side oi d trirt glu is twice as long as a second side. The remaining side is 3 m longer
than the second side. The perimeter is 39 m. Finrl the length of each side.
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One side of a triangle is 3 cm shorter than a second sicle. The remaining side is 5 cm
Ionger than the second side. The perimeter is 38 cm. Find the length of each side.
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