What Were the Headlines After a Mad Scientist TrainedTwo Eggs to Attack a Candy Store

With Sharp Sticks ?

Solve each system of equations below by graphing. Cross outthe box containing your answer. When you finish, print the lettersfrom the remaining boxes in the spaces at the bottom of the page.••••••••••••••••••••••••••••••••••

o~m()-;<:mOlI~dUlo<:<D

~<D3Ul

S!.<D.0 2~. CD Y=3X-1:JUl

~ y= -x+4<0

~:T5.<0 o y=-2x+1

y=x-5

o y=~X-3

3Y =2x-1

o y=2xx+y=3

@ x+y=o3x+y= -4

@ x=3-3yx+3y= -6

CD x+2y=-44y= 3x+ 12

@ y=-22x- 5y= 20

@ 4x+3y= -15y=x+2

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@OloJJ I TW I EG I as I GS I WE I ET I SP I TRiil»~~<- (-4,0) (-4, -5) no solution (4, 1) (3, 1) (-2, -4) (-1, 6) (-3, -1)<1>-;"Ic"tJ'"- EA TS RA TI MI SS NT UP2'r:i".»~~ I (-3,5) I (1, 2) , (0, 3) I

(2, -3) , (4, -3) I (5, -2) I (-1, 0) I (-2,2),..•0)•••

1

4

7

y

0 x

y

0 x

y

0 x

2

5

8

y

0 X

y

0 X

y

0 X

3

6

9

y

0 X

y

0 X

y

0 X

162 ALGEBRA WITH PIZZAZZ!@ Creative Publications

Why Dtt~s~h~Pr~s;d~n~Pu~V~g~~lbl~s;n H;s BI~nd~r?

1 1 2 2 3 3 4 4 5 5 6 6 7 7 8 8 9 9 10 10 11 11 12 12

o~m(")-I<:m0>Ic-

d~

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9-'".0Cao.:JCJ>

~5''"CJ>Cc-~~o.:J3'"5'a"-»5m@rno:D

<il»~.~,,-I."I"-a~~=.»ON~~

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Answers 1-6:

(4, 2) .. LD(6, -1) NG

(1, 2) TR(4, 8) HE

(1, -3) HO(6, -3) NT(5, 3) FO(9, 2) PI

(7, 3) TH(5, 2) IS

Solve each system of equations below by the substitution method. Find thesolution in the nearest answer column and notice the two letters next to it.Print these letters in the two boxes at the bottom of the page that containthe number of that exercise.

CD y=2x CD -2x+ 3y= 14x+y=12 x + 2y = 7

o x=3y-1 @ 6x-y=-4x+2y=9 2x+ 2y= 15

o y=2x-5 @ x+y=14x - y = 7 2x-y= -2

(3) 2x-3y= 12 @ 5x-3y= -11x= 4y + 1 x-2y=2

o y= -x+5 @ x-y=3x - 4y = 10 6x+ 4y= 13

@ x-y=2 @ 2x-y=164x - 3y = 11 -x +2y=-8

Answers 7-12:

G, -3) IN

(8, -~) VE(_1 ~) RL3'3

(8, 0) AS

(-3,4) TE

G,7) HI

(~,~) LO(-1, 4) RW(5 _1) PE2' 2

(-4, -3) ED

y

V 6 U yI

4 N0

2 BS

A-6 -4 -2 2 4 6 x

R F E-2

G C P

L-4

DM -6 T

H

(() -6=3x+y10= -5x- Y

@ 3x+8y=-1-3x + y = -17

o x+2y= 155x= 2y + 3

o 3x+5y=02x- 5y= -25

@ 2x+y=3-2x+5y= -9

j:),~j:li*l;;':~j:}/~J;;'/*j:),~j:),~j:),~J::l*j:),~j:),~j:),~j:),~j:),~j:),~j:),~t:Bij:),~j:),~j:),~j:),~j:),~j:),~j:),~j:),~j:),~j:),'

CD x+y=5 @ 8=4x-3y3x - Y = 7 17 = X + 3y

8) -4x-y=-64x + 3y= 18

@ 2x - Y = -5 @ 7x - Y = 12 @ Y = 3x + 13 @ 4x + 12 = - 7y-2x-5y=11 -3y=7x+8 2x=y-9 -y+12=4x

j:),~j:),~j:),'Jij:),~j:),~j:),~j:),~j:),~J::l*j:),~j:),~j:),~j:),~j:),~j:),~j:),~j:),~j:),~j:),~j:),~j:),~j:),~j:),~j:),~j:),~j:),~j:),'

117

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1'2

1'2

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1'2

12

1' 1-'0

18

17

19

13 I 5j 51 U

~ What Do You CaUlt When Someone Pays Back a Loan Quickly?Solve each system of equations below by the addition method. Find the solution in the coordinate system and notice the letter

~F= at that point. Print this letter in each box at the bottom of the page that contains the number of that exercise.-Qlilm",CD(i5:D"1J:l>c::Eg=iaI0'-0:>-",N

N

~

o:T~CDm",0o.-j0. -;+<ci" m:J(»

31!2.~::T-j00c.",-0:J-0<

3CD

~~_","2:m0'3!".'"-'0

~.i~"CD'"..c ::!".,,0_.:Jm'"o.rr7'-<

-6x - 5y= 20-y= 6x + 4

x+2y= -24x+ 2y= -17

@

@

5x+y= 2

5x-3y= 14

7x-4y = -10

4y=x- 2

0)

@

5x - 2y =4

X + 2y= 8

-3x + 2y = 11

3x- 4y= -19

Solve each system of equations by the addition method. (You may first have tomultiply both sides of one equation by -1.) Find your answer below and crossout the letter above it. When you finish, the answer to the title question will remain.

o 3x+y= 13 CD x=5-9y @ -3x+y=-2x+y=3 4x+9y= -7 -2=7x- y

8) 6x-2y= 10 @ 3x=5y-9 @ 10x-5=3yx-2y= -5 2y= 3x+3 2x- 3y= 1

SlHlolLlolplRIElsrAlNITlllolEINrAlllOI R

CD

(3)

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~~c...'S ~ l."5 ~ tt~. . .,. ..•....~"Ili~ What Kind of Shoes Does a Frog Wear?~O'>"!<-I,)" CL'" ..=.-100" Ul0"0'<<:I'"~Ul

3'Cii'" ~'<3O"Ul

'" 0CD;.0.0~.C~ '"~=_0. "

Ul

0"'<5''"~0.;+o'"

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5m

@aJOIl~}>

2!.:2:<"=i<1> I

2'"1)c;-=NON!':}>c"N"N"' .-

Why Are There Rules in Croquet?

Solve each problem below using a system of two equations in two variables.Find the solution in the answer column and notice the three letters next to it.Write these letters in the three boxes at the bottom of the page that containthe number of that exercise.

CD The sum of two numbers is 90. Their difference is 18. Findthe numbers.

0 The second of two numbers is 4 more than the first. Thesum of the numbers is 56. Find the numbers. 660 THE

0655 WEC

The number of girls at Sky High School is 60 greater than 38, 52 BECthe number of boys. If there are 1250 students all together,how many girls are there? 16, 12 DER

0 The second of two numbers is 5 more than twice the first.24, 4 LAW

The sum of the numbers is 44. Find the numbers. 36, 54 SOT

@ 635 ITWThe sum of two numbers is 75. The second number is 3less than twice the first. Find the numbers. 16,28 ROO

13,31 ANH@ The larger of two numbers is 8 more than four times the 24, 32 HERsmaller. If the larger is increased by four times the smaller,

the result is 40. Find the numbers. 370, 130 NOR

0 26, 30 HATThe number of calories in a piece of pie is 20 less thanthree times the number of calories in a scoop of ice cream. 36, 39 ITBThe pie and ice cream together have 500 calories. How 350, 150 YERmany calories are in each?

26, 49 AVE@ The sum of two numbers is 4 less than twice the larger. If

the larger is decreased by three times the smaller, theresult is -20. Find the numbers.

1 1 1 2 2 2 3 3 3 4 4 4 5 5 5 6 6 6 7 7 7 8 8 8

166 ALGEBRA WITH PIZZAZZ!cg Creative Publications OBJECTIVE 6-e: To solve word problems using systems of equations.

Dill Y"u "earAII,,"t ...A B C 0 E F

G H I J K L

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Solve each system of equations below usingmultiplication with the addition method. Find thesolution in the answer column and notice the wordnext to it. Write this word in the box containing theletter of that exercise. Keep working and you willhear about some "udder" nonsense.

0 Sx- 2y= 4 @ 3x- Sy= 73x+ y= 9 Sx- 2y=-1

@ 3x-Sy= 13 @ 4x+3y= 9x- 2y= S 3x+ 4y= 12

@ 7x+ 2y =-1 CD Sx-3y=163x -4y = 19 4x+Sy= -2

@ x+2y=6 Q) 4x- 3y= -20Sx+3y= 2 -x-8y=S

@ 2x+3y=7 @ -3x+7y= -1'3x + 4y = 10 -2x+Sy=0

0 7x-3y= -s CD Sx+ 6y = -11

3x + 2y = 11 3x+y= -4

OBJECTIVE 6-f: To solve systems of equations using multiplicationwith the addition method (equations are in standard form).

ALGEBRA WITH PIZZAZZ! 7@ Creative Publications 16

m What Do You Get If You Drop a Grand Piano Down a Mine Shaft?

,j:(

,j:(1

frVi\ x+r= 13~ 2 5 10

3{x - y) = X - 10

j:(

III

:j:(rII'it:ll

x+y=4

'll

o ~(2X+Y) = 1

lll'

Iii:II

2{x - y) = 4

3x+y=10

Solve each system of equations below using multiplication with the additionmethod. Find the solution at the bottom of the page and write the letter of thatexercise in the box above it.

oo:::::::::=:~it

o

@:t>or~Glllim=.OJ<:n<D:t>."g.:z;g=i2'I0'-0:J -",N

~

I~I I I I I I I_I~I_I_I I I_I~I_I~I~IBI~I~I~I~I~~ m ntaM ~ ~ ~ ~ f(=6,O)

j:(1

llli

lll'

III

Ill'

x 3y 154-2=2"

C0 :+~=~2a b =-23"-2

j:(

Ij:(\ 1@ 5 (x + 2y) = - 2

I":f2\x y\£; 3+2=-4

x-3y= 6

:j:(

Ij:(l@ 1o "2{m - 3n) = 5

3{m + 4n) = -12

CD 2{x - 3y) = X + 4

3x + 8 = 5x-y

@ 5x-y=2x+9

3x+4y= -6

CD a-2b=-5

3{2a + b) = 0

o~-m::To

CD~"'-0.<o.ma: 0)01:J<o3 ""CD~5'0oC/)0.0-<CD CD

.DC/)",<~.~OCD:J3wc/)"'0<0-:JCD0.D-~::J :::!'.CDoO:JCDw

~ ~.2:::J,<<05"3w£pr.g~=0.0"''''ag.-:JQ:;;3;::0.:.,.... ::T

What Kind of monkey [an Fly?Solve each problem below using a system of two equations in two variables.Find the solution in the answer column and notice the letter next to it. Writethis letter in each box that contains the number of that exercise.

The price of a sweater is $5 less than twice the price of a shirt. If four sweatersand three shirts cost $200, find the price of each shirt and each sweater.

o Two records and three tapes cost $31. Three records. and two tapes cost $29. Find the cost of each recordand each tape.

o

Three times the larger of two numbers is equal to fourtimes the smaller. The sum of the numbers is 21. Findthe numbers.

The difference between two numbers is 16. Five timesthe smaller is the same as 8 less than twice the larger.Find the numbers.

The larger of two numbers is 1 more than twice thesmaller. The sum of the numbers is 20 less than threetimes the larger. Find the numbers.

The sum of two numbers is the same as four times thesmaller number. If twice the larger is decreased by thesmaller, the result is 30. Find the numbers.

A group of students go out for lunch. If two havehamburgers and five have hot dogs, the bill will be$8.00. If five have hamburgers and two have hot dogs,the bill will be $9.50. What is the price of a hamburger?

~~~~~~~~

~ @ 22, 6 ~~ ~~ @ 16, 9 ~

~ @ 18, 6 ~

~ @ 11 10 ~~ ' ~~ @ $20, $35 ~

~ CD 12, 9 ~

~ CV $1.35 ~.~ ~.~ @ 13, 6 ~

~ @ 14 ~

~ CD $1.50 ~.~ fI\ ~.~ \!:.; $8, $5 ~~@24,8 ~~ @ $23, $41 ~.~ tLi\ ~.~ I.!::!J $5, $7 ~

~ @ 17 ~

~~~~~~/~~

A shipment of TV sets, some weighing 30 kg each and the others weighing50 kg each, has a total weight of 880 kg. If there are 20 TV sets all together,how many weigh 50 kg?

2 4 8 6 2 1 5 7 2 7 8 8 3

OBJECTIVE 6-h: To solve word problems using systems of equations.ALGEBRA WITH PIZZAZZ!

@ Creative Publications 169