00
Crack The Code
~
Solve any proportion below and find your answer in the code at the bottom
of the page. Each time the answer appears in the code, write the letter in that proportion above the answer. Keep
working and you will decode the poem.
@""'0
oJJ
~m
(J)
0
~)>
-·r
Cl5G)
CD .!.Q6 = ~F
-um
C(JJ
g]J
Q)>
2.!
®~=~ K=
F =
K
20
5
g::E
::J-
oo-i
® .§_ = _!:!_
I
""'0
4
N
N
10
<VI!= .!.Q
H=
49
35
4
@g =_!_i_
I
3.!
N=
)>
2
N
N
)
I=
3.!
@.i_=~A=
A
18
®~=~
U=
@~=_y_
10
3
@_Q_=~ C=
15
9
®~=24
y
40
Y=
@_§_=~
5
3
E=
@) 1.. =..!..
T=
@24=~
@) _!:_ = .!i L
@~=.!l
B=
@.I_=~
R
2
R=
D
22
1
D=
7
9 15
-.50.-.
8
3
3
15
8
11
8. 14. 33
1
3
3
1
3-.3-.
8 . 9-
3
5
8
3
3
3
5
4
3
5
1
2·14
3
)
5
3
11
11
3
4
11
3
3
1
2-.
3 . 24. 3-
8
4
3
1
5
1
2-.9
3
2-.
8. 35. 24
9
8·-
0
2
19
17
1
1-.
2-.
- . 2-.-
3. 14
11
@~=~ 0 =
V=
B
1
1-.
60
3
1
2-.
50. 1-.
2
7
1
1
-.
2-.33.
3-
8
=
1
2-.
14
3
1
-9 . 15.3-
3
10
3
·1
1 24
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11
25
7
1
1
-.
2-.
33 . 3-
11
2-1 ·14
)
@~=E. S=
s 2
1
1
@M= 2 M=
4
5
@~=_f P=
1
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1-·3-
3
1
1
9. 3. 1-.
3-
9
9. 3. 9.-.
60
2
11
3
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8
11
3
5
5
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What Do Hitchhikers Do When School Lets Out?
This puzzle illustrates two practical uses of ratio and proportion: (1) figuring the size of a reduced or enlarged photograph;
and (2) figuring distance on a map.
Use the information given on any line of the two charts to figure out the missing dimension, which is indicated by a box
containing a letter. Find your answer at the bottom of the page and print the letter above it. Keep working and you will
discover the answer to the title question.
NEW PHOTO
ORIGINAL PHOTO
)
14x
8 x 10 em
EJ
21 x 30 em
7x~em
8 x 10in.
CJ
10 x 16 in.
6 x gf in.
4xEJin.
G)
@rn
oJJ
co)>
'
~.~
<CD-I
2 em= 25 km
~em
j_
2
=75em
10in=~mi
1 .
3 2m.=
5 m1.
em= 100 km
~
in=16mi
4em=
~km
~
1tin.= 10 mi
~x8fin.
4 x 7 in.
-ui
§.-o
7em=
4 in.= 75 mi
11x20in.
m
~km
1 em= 50 km
3 in.= 4 mi
x4in.
5x~in.
~x8in.
7 x 10 in.
:II
);.
r
x 15em
~ x 10em
11 x ~in.
1
32 x 5 em
"'U
~em
7 x 12 em
TRIP TO BE TAKEN
MAP SCALE
in=350mi
4fin=EJmi
2f in. = 150 mi
EJ
in= 100
1 in.= 3 mi
fin.=
~mi
1 in.= 500 mi
~
in=800mi
=N
£N
::!".)>
ON
~~
(X)
U1
0
0
CX)
~
C\1
..-I(')
C'll-.:t
Cl)
Cl)
LOll'--
T"""
~
T"""
..-ILO
C'liLO
T"""
T"""
T"""
C\JIC'l
..-I(')
c.o
..-1(\J
T"""
0
T"""
C\JILO
~
C\1
C\JIC'l
T"""
T"""
..-lr--.
0
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c.o
CX)
T"""
0
..-1(\J
1.0
Cl)
C\1
"'""'"
What Should You Say )
When You Meet An Angel•
Work each problem and find your answers at the bottom of the page. Shade in the
letter above each correct answer. When you finish, you will know what to say!
1
If 2 cubic feet of sand weigh 90 pounds, how much do 5 cubic feet of
sand weigh?
ANSWER:
If
pounds
are 560 calories in 8 ounces of meat, how many ca nes
ounces of meat?
calories
If pencils sell at 6 for 59¢, how many pencils can be bought for $2.95?
pencils
4
A car travels 350 miles on 20 gallons of gasoline. How many gallons will be
gallons
used to travel 875 miles under the same conditions?
5
The ratio of oil to vinegar in a certain salad dressing is 8 : 5. How much
oil must be blended with 7 liters of vinegar for that recipe?
6
The ratio of the weight of an object on Jupiter to its weight on Earth
is 8 to 3. How much would a 100 pound person weigh on Jupiter?
pounds
7
If 1 gallon of paint covers 450 square feet, how many gallons are
needed to paint a room with 675 square feet of wall surface?
gallons
8
If it takes 4 ounces of insecticide to make 22 gallons of garden spray,
how much spray can be made with 6 ounces of insecticide?
gallons
liters
9
10
A flagpole casts a shadow 32 feet long. If a man 6 feet tall casts a shadow
8 feet long at the same time and location, how tall is the flagpole?
11
Bronze is an alloy of copper and tin. If a certain type of bronze requires 0.3
kilogram of tin per 1.0 kilogram of copper, how much tin must be combined with
50 kilograms of copper?
kilograms
12
13
14
At a certain college, the ratio of men to women is 5 to 4. If there are 2800
men, how many women are there?
1
4 3 cans of water must be added to a can of lemonade concentrate to
make 64 ounces of lemonade. How many cans of water are needed to
make 96 ounces of lemonade?
cans
women
A cookie recipe which calls for 3 2 cups of flour makes 5 dozen cookies.
•
How much flour is needed to mal<e 3 dozen cookies?
cups
3.6 grams of salt will dissolve in 10 grams of water. How many grams of salt
will dissolve in 1000 grams of water?
0
C\1
0
co
('f)
86
feet
('f)
C\1
PRE-ALGEBRA WITH PIZZAZZ!
© Creative Publications
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./
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CRYPTIC QUIZ
1. How Did Alfo Make A Quart Of Juice From Three Oranges?
ANSWER:
------------------------~~~~~
99-7-20-18-25-18-7-99-14-15-7-25-38-45-6-6-5-6
2. What Do You Get When The Post Office Burns Down?
ANSWER: ---------------------------------18-24-18-25-6-13-42-41-16-18-24-35-84-18-99-16
3. What Do Gorillas Sleep On In Fruit Orchards?
ANSWER: _ _ _ _ _ _ _ __
18-72-27-99-24-13-7-25
TO DECODE THE ANSWERS TO THESE QUESTIONS:
Simplify any expression below and find your answer in the code. Each time the answer
appears, write the letter of that expression above it. Keep working and you will decode
the three answers.
®
©
®
(16-7)X8=
@ 35
12 + (36 -7- 9) =
® 80 - [ 3 (8 + 7) J =
® [5 (20 - 2) J -7- 302 =
28 -7- (1 0 - 8) =
@ 9 (15 -7- 3) =
® [(48 + 2) 2] -7- 5 =
CD (8 + 3) • (16 - 7) =
® (20 • 6) -7- (6 + 2) =
@ [45
- (3 • 2) J -7- 3 =
®
®
3 X 2 [ 4 + (9 -7- 3)] =
©
72 -7- (
180
2+[48-7-(12+4)]=
+50+ 25=
5·5
@
3 [ 4 (9 - 2) J =
®
2 [ (7 • 3) + 6] =
26
7
13
®
5 + [ 4. 3 (2 + 1) J =
(f)
7(8 -1)
+ (42 73)=
(1 0 - 7)3
294x3
+ 7) =
®50 -7- [(4·5)- (36 -7- 2)] =
@[3(12-7)]x 6
2+3
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© Creative Publications
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./
=
r
What Did The Skunk Say When The
Wind Changed?
TO ANSWER THIS IMPORTANT QUESTION:
Evaluate any expression below for the given values of the variables (see table). Find your
answer at the bottom of the page. Write the letter of that exercise in ANY ONE of the
boxes directly under the answer.
When you finish all the exercises, rearrange the letters in each group to make a word.
Write the words in order in the BOTTOM row of boxes.
@ __..;;.8y_2 =
CD
VALUES OF THE
VARIABLES
x2+c2 =
b
y=-1
b=-8
z=4
c=6
® y2-a2
CD (2a)2 =
X
©
b+z
x=2
a=-3
=
y+a
~-
•i© (z+b)
~- .
(2a)2 _
2a 2 -
~
~
~-
•f..
@
z2+b2 =
® 3a 2+7a =
X
2b
©~~+~~=
@ (x-c) 2 =
x-c
~·
•i-..
~
~
~
~·
•f..
~
9
=
2b
~
~
~
2
2
@Y b_
yx2-
@c-a =
a-c
-4
3
REARRANGE EACH GROUP OF LETTERS TO MAKE A WORD
PRE-ALGEBRA WITH PIZZAZZ!
© Creative Publications
,
_____
195
I
What Did Ignatz Say About Her
Brain Surgeon?
Do any exercise below. Find your answer in the answer column and notice the letter
next to it. Each time the exercise number appears in the code, write this letter above
it. Keep working and you will answer the question.
where d is the distance traveled by an object moving at speed r in
time t. Find d if:
d = rt
CD
I= prt
r = 40 t
=
'
®
8
)!j)()!j)(
r =55, t = 4
® 31
@ 6o
® 6400
where I is the interest on an amount p, borrowed (or invested) at
interest rate r for time t. Find I if:
®
p = 1000, r = 0.06,
@ p = 500, r = 0.14,
_________________
,_=_1_________________,_=__
3 _________________ QV32
p = 2,/
+2 w
where P is the perimeter of a rectangle with length£ and width
F@ind P if:
@
= ~ n (n
-- 3)
® 320
® 15 _36
6 £=12,w=3.5
£=7,w=3
d
w.@ 275
where dis the number of diagonals of a polygon wih n sides. Find
d if:
n= 6
n = 20
(J)
@
A=~ a (b 1 + b 2 ) where A is the area of a trapezoid with altitude of length a, and
bases of lengths b 1 and b 2 . Find A if:
® a = 4, b
1
@
= 9,
b2 = 7
a = 3, b 1 = 7.5,
b2 = 2.5
where s is the distance (feet) a free-falling object travels in time t
(seconds). Find s if:
®t=3
®t=20
@ 144
@ 240
®9
@ 0.24
(f) 84
® 220
© 170
® 2 1o
CD 75
-------------------------------------------------------~20
w = 0.03 e 3
where w is the approximate weight (pounds) of an ice cube with
@ 0.38
e~e of length e (inches). Find w if:
© 15
. ® 6120
is the approximate braking distance (feet) on dry pave- J~()fi(
®e=2
d= s
+ 0.05 s 2
®e=8
where d
ment of a car traveling at speed s (miles per hour). Find d if:
®s=30
®s=60
15-9-2-12-8-8-4-13-12-7-2-1-15-16-12-14-15-2-10-2-3-6-16-4-16-15-5-11
196
PRE-ALGEBRA WITH PIZZAZZ!
© Creative Publications
____
.....___
../
JllB
~
Why Did The Kangaroo See A Psychiatrist?
@"'U
Find the graph of the solution set of any inequality below in the
corresponding column of graphs. Notice the letter next to it.
Write this letter in each box that contains the number of that exercise.
Keep working and you will discover the answer to the title question.
o:D
... m
CD '
~)>
--r
(ijG)
-um
cOJ
Q::IJ
£" )>
=~
::J-f
0-
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(J)
GJ)-1
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-3 -2 -1
0
1 2
3
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0
1 2
3
®x? 1
CD
@x<3
®x-# 1
@
® •-3I -2I -1I 0I I1 2I 3t •
® I I I I ~ I I I•
-3 -2 -1
0
1 2
3
®x <-2
CD ' I t I I I I I
-3 -2 -1
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3
-3
-2
-1
0
1
2
•-3I -2I -1I 0I t1 2I 3I •
(j) X>
1
-2
®x ~ -2
'®x? -2
tl
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hear about ...
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DIRECTIONS:
6-WHO
(X~ -3-0VER
X<
Solve any inequality below. In the answer column, find the
inequality that describes the solution set and notice the word
next to it. Write this word in the box that has the same letter as
that exercise.
KEEP WORKING AND YOU WILL HEAR ABOUT A COLLEGE
EYE DEAL.
~~~~~~~~~~~~~~~~~~
® 2(3x - 5) > 2x + 6
® 8(2 + x) ~ 3x - 9
© -3(4x - 6) < 7 - x
lx <
4-HAVE
l X?: 22-STUDENTS
1x ~ -s-cRoss
l X ?: -12-COLLEGE
I X~ -2-EYES
lX>
6-CONTROL
lx > 4-THE
r x < 1-KNow
lx < 3-TO
I X~ 22-HIS
@ 13x- 7(-2 + x) ~ 4x- 10
® 5(-3x - 1) + 7 ~ -x + 30
® 12 + 5x > 2(8x - 6) - 7x
@ 9x- 2x ~ 14- 9(-x- 4)
l X ?:
® -4(3 - 5x) - 11x < 3x + 6
CD 1O(x + 2) > -2 (6 - 9x)
I X ?:
2-PROFESSOR
lx ~ -25-SEEMED
l
Q) 7(2 + 2x) ~ 4(-x - 10)
® 11 + 3(-8 + 5x) < 16x - 5
CD -6(7x- 1) <-ax+ 9(-3x- 4)
® -9x + 2(4x + 12) ~ 4(1 - 3x) -
-3-ABSOLUTEL y
-25-SUBJECT
X?:
lx >
-8-NO
I X> 1-EYED
1x < -s-HELP
13
@ 7 {-x + 4) + 1 6 ~ 5x - (1Ox - 6) - 6
@ 12(2x + 3) - 3( 8 + 7x) > 0
IX >
I
X<
-4-PUPILS
-4-TEACH
PRE-ALGEBRA WITH PIZZAZZ!
© Creative Publications
____
.../
225
j
Why Was The Hit Record Nervous?
Find the UNION of the two given sets in the column of graphs
below. Write the letter next to the graph in each box that
contains the number of the exercise. Keep working and you will
discover the answer to the title question.
G)A={xlx>2}
B = {xI x < -1}
®X= {xI x ~ 2}
Y = {xI x ~ -1}
@A = {x X~ 0}
B = {x x < -3}
@X= {x x > 0}
Y = {x x ~ -3}
@A= {x x > -2}
B={x x>2}
@X={x x~1}
Y = {x x > 4}
(f) A = {x X < 4}
B = {x x ~ -1}
~@
:s
,:sCD
:s
:S®
:s
~®
~@
:s
:s®
:s
:S@
:s
:s®
:s
@X={xx~3}
Y = {x x ~ -2}
@A= {x x = -1}
B = {x x > -1}
@)X= {x X= 0}
Y = {xI x < 3}
@A={xlx<1}
B={xlx>1}
@X = {x Ix ~ -4}
Y={xlx<O}
@A={xlx>3}
B ={xI x < -2}
4 10 3 6 13 11 4
~®
:s
:S@
:s
:S<1)
:s
:s®
,:S G
:s
:S®
:s
8
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PRE-ALGEBRA WITH PIZZAZZ!
© Creative Publications
"------
227
~
What Did The Mother Worm Say To The
Teenage Worm?
CD
®
Find the INTERSECTION of the two given sets in the column of
graphs below. Write the letter next to the graph in each box
that contains the number of the exercise. Keep working and
you will discover the answer to the title question.
-2}
S={xlx<3}
p = {X X ? -2 }
R = {X
X>
I
I®
1:®
I®
I@
•
1:®
I®
I®
1:®
I®
I®
I
@ R={xlx>O}
S={xlx~4}
@)
? -3 }
Q = {X X < -1}
® R = {X X > -1 }
S-={xlx>2}
® P={xlx>-4}
Q={xlx?O}
(J) R = { X X ~ -1 }
s = {X X ~ -2 }
® p = {X X ~ -3}
p
= {X
X
I
I
I
I
Q={xlx~3}
GJ)
~
@
R={xlx<2}
S={xlx<4}
P={xlx=3}
Q ={x lx <4}
R={xlx?O}
s = {X X~ -3}
P={xlx?O}
Q={xlx<4}
R = { X X ? -2 }
s = {X X = -2 }
228
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PRE-ALGEBRA WITH PIZZAZZ!
© Creative Publications
"-------
12
7
1
6
10 12 12
5
•

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