Act Formula Sheet Page 3
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1
2
3Algebra
To
m ultiply
b inomials,
u se
t he
Percents
&
D ecimals
distributive
p roperty.
30%
=
3 0/100
=
3 /10
=
. 3
FOIL
45%
=
. 45
to
c hange
a
p ercent
t o
First
(x
+
6 )(x
–
4 )
=
x
2
125%
=
1 .25
a
d ecimal,
m ove
t he
Outside
(x
+
6 )(x
–
4 )
=
x
-‐
4 x
2
decimal
p oint
t wo
p laces
Inside
(x
+
6 )(x
–
4 )
=
x
-‐
4 x
+
6 x
2
to
t he
l eft.
Last
(x
+
6 )(x
–
4 )
=
x
-‐
4 x
+
6 x
–
2 4
2
.47
=
4 7%
to
c hange
a
d ecimal
t o
a
Combine
l ike
t erms
t o
g et
y our
p roduct
3.2
=
3 20%
percent,
m ove
t he
x
-‐
4 x
+
6 x
–
2 4
x
+
2 x
–
2 4
2
2
decimal
p oint
t wo
p laces
to
t he
r ight
Quadratic
F ormula
Percent
I ncrease/Decrease
!!!"#$ ( !" !"#$%,!"#!,!"#$%!,!"#.)
Quadratic
E quation
ax
+
b x
+
c
2
!"#$#%&' ( !"#$%,!"#!,!"#$%!,!"#.)
Logarithms
Absolute
V alue
⏐-‐6⏐
=
6
y=n
=
l og
(y)
=
x
x
⏐3-‐7⏐=
4
n
Rules
o f
E xponents
log
(x)
=
4
2
=
2
4
Multiplication
x
•
x
=
x
=
x
•
x
•
x
•
3
5
8
=
1 6
x
•
x
•
x
•
x
•
x
log
(8)
=
x
!
!
! × ! × ! × ! × ! × ! × ! × !
2
Division
=
=
y
3
2
=
8
x
!"
! × ! × ! × ! × !
x
=
3
No
d ividing
p owers
w ith
d ifferent
b ases
!!
!!
Thus,
=
!!
!!
Raising
a
p ower
t o
a
p ower
( x
)
=
x
3
4
12
( x
•
x
•
x )(
x
•
x
•
x )(
x
•
x
•
x )
Zero
p ower
( anything
t o
t he
z ero
power
i s
“ 1”)
5
=
1
0
25
=
1
0
100
=
1
0
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