Available in July!
NEW 8th Level Math
The new 8th level Math PACEs provide your students
with a pre-algebra/pre-geometry course that
adequately prepares them for the high school level
math courses.
Remember
these mul
tiplication
Multiplying
and division
both side
s of an ineq
propertie
relationship
s of inequali
uality by
between the
ties.
the same
two sides.
positive num
Dividing
(3 < 7 and
ber does
both side
(4)3 < (4)7
not change
s of an
)
inequality
the
relationship
by the sam
between the
e
positive num
two sides.
ber does
(3 < 7 and 3
7
not
change the
< )
4
4
Study the
example
below.
4x + 3 ≥
15
Use inverse
operations
to isolate
on the left
4x ≥ 15
the variable
side of the
−3
inequality
Simplify.
4x ≥ 12
sign.
Use inverse
operations
x ≥ 12
to isolate
4
the variable
Simplify.
.
x≥3
Complete
this activity.
x
+ 7 > 13
5
Use inverse
operations
(1) x
to isolate
> ________
the variable
____ Sim
5
.
plify.
x
>6
5
All concepts are clearly presented in a self-instructional
format allowing the student to achieve mastery of one
concept before moving on to a new one. Students will
especially enjoy receiving instruction from the new
realistic Ace, Christi, and all their friends.
(2)
(3)
x > ________
(5)____
x > ________
____
Use inverse
operations
Simplify.
Fa ir
Hudson, you
can’t move
there!
Ace, tell Huds
on he
can’t move
there!
Yes, I can!
Solve thes
e inequali
ties.
(1)
(4)
to isolate
the variable
.
3x + 3 ≥
15
(2)
−8 + 9x
≥ 73
(5)
x
+ 8 ≥ 12
4
x
− 2 > 11
3
(4)
3x + 3 ≥
15
(7)
(5)
x
+ 4 < 11
9
(6)
7x + 9 ≥
30
Score this
Score this
(8)
3x + 7 ≥
16
kes.
Rescore.
Bu t the wis
is . . . wit do m tha t is fro
m abo
ho ut par tia
lity . . . . ve
Jam es 3:1
7
kes.
Rescore.
1990
8
1991
4
1997
3
1998
10
2004
9
2005
15
Tally
Frequency
_____
________
0—3
_____
____
__ ____
________
_____
________
__
________
_____
____
____
__
________
_____
____
__ ____
________
6 Accelerator
of Years
(5)
11
1996
2002
4
2003
7
2009
3
2010
12
____
____
Number
Hurricanes
per Year
9
1995
_____
________
________
________
_____
________
________
________
____
2
0
_
_____ ____
_ _____
0–3 ____
per Year
Hurricanes
24, 21,
ws: 28, 16,
are as follo
Testament
in the New
the books
1, 1, 1, 22.
in each of
5, 5, 3, 5,
chapters
13,
__
of
1,
3,
ber
____
6, 4,
____
The num
________
4, 4, 5, 3,
________
13, 6, 6,
__
________
28, 16, 16,
________
(7)
________
________
________
Frequency
y
Tall
(6)
____
Chapters
_
____
________
____
1—5
_____
____
__ ____
____
________
_____
____
__ ____
________
_____
____
____
____
__
________
_____
____
____
__ ____
________
___
_______
of ________
(4)
0–2010
from 199
3
1994
4
9
2001
8
8
2008
6
lton
Racer Loya
Church
Harmony
–Friend Day
Attendance
Leaf
Stem
– 26
0–10 yrs
– 21
11–20 yrs
– 22
21–30 yrs
.
40 km
cm =
eof1
map is
es on a
two citi
tween
between
tance be
ce
dis
l
tan
ua
The dis
is the act
. What
2.5 cm
cities?
two
the
Solve.U
(1)
seascal
– 32
31–40 yrs
– 23
41–50 yrs
– 35
51–60 yrs
(1)
(2)
(3)
seas
map is
es on a
two citi
tween
tween
tance be
tance be
ual dis
The dis
is the act
. What
15 cm
es?
citi
the two
(5)
seascal
.
60 km
cm =
eof1
(6)
es is
two citi
between tween them
tance
ual dis
tance be
The act
is the dis
. What
210 km
map?
the
on
Solve.U
map is
es on a
two citi
tween
tween
tance be
tance be
ual dis
The dis
is the act
. What
9.7 cm
es?
citi
the two
e.
Rescor
es.
t mistak
Correc
es 19
Score pag
Study
and 20.
.
ashville.
example
histoN
lowing
mMemp
the fol
ncefro
atedista
proxim
1 in
98 mi
2 in
1 in =
n
98 mi
mi (2 in)
= 98
1 in (n)
: 2 in
98 mi
n=
1 in
6 mi
n = 19
ap
Find the
• Nashv
TENN
map is
es on a
two citi
tween
tween
tance be
tance be
ual dis
The dis
the act
What is
7 cm.
es?
citi
the two
• Memp
ille
ESSEE
his
approxim
1 in =
The two
-step alg
used ad
ebraic
dition,
subtractio equations you
solve act
n, or mu
have sol
ivities
involving
ltiplica
you nee
ved so
tion. In
divisio
d to fol
far ha
this sec
n, or fra
ve
low on
them in
tion you
e more
ctions.
order.
Let’s rev
time. Ma
will
iew the
ke certai
steps
To sol
n you
ve an
always
eq
follow
uation,
containin
begin
Ajani Hea
g the (1)
by
rtfelt
rearra
(2)
______
nging
______
______
the eq
______
____ is
uation
(3)
__ sig
and (5)
by itse
so the
n. Sec
______
______
lf on
term
ond, un
______
_____
the left
_ opera
do ad
to undo
again
side of
dition
tions.
applying
subtractio
or sub
the
You (4)
the inv
tractio
n. Third,
______
the answ
erse, or
n by
___
you
er in for
___
using
opposite
undo the
____ to
the var
, opera
multiplica
undo
Fractio
iable in
tio
ad
n.
dition
ns can
tion an
Finally
the ori
be fou
d divisio
, you che
ginal (6)
nd in thr
n
___
ck
by once
your an
______
ee differ
1. The
______
swer by
ent pla
y can ap
___. Stu
substitutin
ces in
dy the
pear as
an equa
g
follow
the coe
tion.
ing ex
fficient
ample
2. The
with the
s.
y can ap
variab
pear as
le.
2
the numb
x + 17
er by itse
= 23
3
3. The
lf.
y can ap
pear in
both pla
Let’s be
x+ 3
gin by
ces.
= 7
simplifyi
8
8
ng equa
2
4
tions wh
x
x+ 1
ere the
3 + 17 = 23
= 2
5
fractio
2
n appe
Rememb
3
ars as
er, you
2
the
coeffic
must rea
left sid
x
ient of
e of the
rrange
3 = 23 17
the var
eq
the
uation.
Move 17
iable.
equatio
n so the
across
2
x is by
the =
x
sign, an
itself on
3 =6
d chang
the
Simplify.
e its sig
n.
2x = 6(3
)
Move 3
2x = 18
across
the =
Move 2
sign an
. . . wh
d multip
across
x = 18
ile we
the =
ly.
=9
sign an
we
yet sin
2
d divide
ners, Ch re
.
Check
– 14
61–70 yrs
r–9
71 and olde
above.
-leaf plot
stem-and
using the
____
________
nce? ____
est attenda
___
________
had the low
up
____
?
gro
nce
attenda
What age
______
the highest
________
group had
nd Day?
What age
nce on Frie
nda
atte
the total
What was
vities
these acti
(2)
(3)
es is
two citi
between
between
tance
distance
ual dis
The act
at is the
km. Wh
212.5
p?
ma
the
them on
(4)
20
mi
ately 98
19
to
-leaf plot
the stem-and
layed on
been disp
e data has
es up the
digit mak
The exampl
the units’
9
stem, and
0
the left.
es up the
er.
mak
ord
t
g
digi
ascendin
4
The tens’
1
placed in
represent.
leaves are
and leaves
1236
leaf. The
the stems
2
t numbers
lains wha
25
3
The key exp
= 14
plot.
Key – 1 4
-and-leaf
stem
on
a
g
structin
f or leaves
ps in con
and the lea
these ste
er.
on the left
Follow
nding ord
is placed
the list
data in asce
The stem
point. In
Rank the
like a “t.”
Step 1
of each data
that looks
number
ber
line
last
a
num
w
the
s
Dra
pt the last
f contain
Step 2
9 in
tains all exce the stems. The lea
r only had
the right.
stem con
71 and olde
bers form
data. The
ve. (Since
Enter the
orange num
bers abo
the stem.)
Step 3
ve, all the
the key
er to form
green num
of data abo
ch are the
graph, and
a place hold
d in the
point, whi
inserted as
is include
of each data
, and 0 is
data
t
leaf
wha
the
, 9 is
title tells
attendance
a key. The
title and
graph.
Include a
rpret the
Step 4
reader inte
helps the
Complete
.
25 km
cm =
caleof1
Solve.U
2 3
(9) + 17
3
= 23
pt the data
1
grams exce
s
-leaf plot
lar to histo
6+
Stem-and
ts are simi
vertically.
leading 17 = 23
leaf plo
e up of the
rather than
Stem-andmad
is
tally
23 = 23
e below.
d horizon
ts. The stem
their digi
the exampl
is displaye
y
on
ed
Stud
t.
data bas
last digi
organize
tains the
27
the leaf con
digits, and
histograms.
tables and
x
+6<8
7
Correct mista
Correct mista
s are
ension
the dim
be
ich all
gs can
g in wh
drawin
e
ual siz
a drawin
s. Scale
ension
ing is
n the act with
ual dim
ion) tha
iar
le draw
act
uct
mil
sca
the
red
fa
A
r (a
a
io to
aybe
or smalle
syoum
ts cover
same rat
)
rin
ing
ent
the
ep
aw
in
wn
argem
aledr
and blu
(an enl
sofsc
y are dra l
maps
pe
th
the
ty
larger
r,
bo
ua
pe
ce
ject.Two
the act
ts. Sin
t on pa
of theob
l
blueprin
wing to
ically pu
he actua
the dra
uld typ
ps and
ion in
you wo
are ma
tofindt
n
ens
sed
tha
dim
su
area
of the
portioni
to scale.
larger
ratio
e. A pro
g drawn
le. The
drawin
thescal
to sca
another
is called
or
ion
p
dimens
on a ma
based
distance
.
drawing
a scale
n
sion on
Loyalto
ion.
Racer
ritethe
a dimen
proport
to find
ortion.W
ioofthe
rat
eprop
se steps
rst
the
tioofth
ations.
asthefi
Follow
econdra
two loc
es
thescale
the
th
ite
en
twe
acein
1. Wr
tance be
orrectpl
ary.)
dis
ec
ess
.
th
the
nec
d
en
ratio
ementin
2. Fin
place wh
esecond
tmeasur
tenths’
rtofth
ite tha
ptypa
is the
d to the
3. Wr
. What
. (Roun
intheem
30 km
letter n
lveforn
cm =
lyandso
le is 1
ssmultip
. The sca
4. Cro
4.5 cm
is
below.
.
p
ple
a ma
am
oportion
es on
the ex
ofthepr
Study
two citi
io
en
rat
rst
twe
cities?
asthefi
tance be
the two
aceof
The dis
thescale
orrectpl
between
Write
inthec
distance
ent
em
rt.
actual
pa
lmeasur
empty
theactua with n in the
1 cm Write
io,
ond rat
d solve.
the sec
30 km
4.5 cm
ltiply an
1 cm =
Cross mu
n
)
30 km
cm
5
km (4.
= 30
)
(4.5 cm
1 cm (n)
30 km
1 cm
n=
• Students working in 4th Edition 7th level math
should continue with the new 4th Edition 8th
level without being rediagnosed.
• Students already working in 8th level basic math
should continue using PACEs 1085–1096.
• New students entering your school from 7th
or 8th level should be diagnosed with the 4th
Edition Math Diagnostic Test (item #468) for
Levels 1–6 and the 4th Edition Math Diagnostic
Test (item #660), which will be available in July
2012, for Levels 7–9. They should complete all gap
PACEs and proceed at their performance level.
cy
the frequen
x
−7<1
5
page.
page.
5 km
n = 13
ricanes
Atlantic Hur
1993
4
1992
2000
8
1999
2007
5
2006
(9)
8x + 6 ≤
86
24
Entrance into Math 1085 will be as follows:
complete
(6)
4x + 3 ≤
47
As a supervisor you will appreciate the:
d,
data provide
Using the
(3)
Solve thes
e inequali
ties.
23
• Biblical principles incorporated throughout
• Updated content reflecting current state and
national standards
• Self-instructional, mastery-based format
• Practical real-life activities
• Stimulating character trait activities
• Bright, engaging layout and design
Now, boys
, both of you
must play
by the rules
.
That’s the
fair way!
Rewrite
the ori
ginal eq
Cance
uation.
l when
Substitut
possible
Add.
e 9 for
.
x.
rist
died fo
Roman r us.
s 5:8
Solve the
following
(7)
(9)
(11)
2
x + 10
5
= 20
equatio
where
indicated
Check.
(8)
.
1
x
2
4=6
I will be
dilig
in my w ent
ork.
2
x +7
= 21
3
3
x
7
ns. Ch
eck
Check.
(10)
x
+4=
6
5
Check.
5=4
(12)
5x
3
4 = 16
God wa
nts
reference us to be dilige
nt in ma
with the
ny are
area of
as of ou
diligence
r lives.
.
Match
ng you
the Scr
r goals
ipture
daily
Living
a holy
life
______ (15)
(A) Ep
_
hesian
Obeying
s 6:18
God’s
______ (16)
Word
(B) Luk
_
e 15:8–
Prayin
g for oth
10
______ (17)
ers
(C) De
_
uteron
Seekin
omy 11
g the los
:13
t and giv
the Go
(D) Ecc
ing the
spel
lesiastes
m
9:10
(E) II Pet
er 3:14
______ (13)
_
______ (14)
_
Score pag
es 27 and
Completi
28.
Correc
t mistak
es.
Rescor
e.
28
Note: Existing math PACEs 1085–1096
(item #6085–6096) will only be
available until January 2013.