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ACC Math 1
cr/ffiA/
ID: 1
Name
Applying Exponent Rules
Date
© 2013 Kuta Software LLC. All rights reserved.
Simplify. Your answer should contain only positive exponents.
I)
•la^
2) x^ •3x'
3) V^•2v'
4) X® •Sx"'
5) 3x'y' •y'
6) 4m-' •3v^
7) 3v •3v^
8) 3x' •3x-'
9) (4m-')°
10) (3^")^
II) (2x^)"^
12) (2n^)"^
13) {nm*)
14) {ab'^)
15)
16) (;o;)
17) ^2a'
18) f
19) ^
20)
«'
21)
o
-1
3xy
4x^y^
,
23)
3v
-2
4«v'
22)
.
24)
-2
-2
2k~^
a 4l2
b
4a^b^
-2
3x^y°
25) x^ •(2x"')^
26) (n^)"^ •2n'
27) x^ •(2>'"')"^
28) 2a~'fe° •(a'&~^)~^
I 2013 Kuta Software LLC. All rights reserved. Made with Infinite Algebra 1.
Period.
ID: 1
ACC Math
Name
Exponential Property of Equality Worksheet
Date
© 2013 Kuta Software LLC. All rights reserved.
Solve each equation.
1) 5"" = 5'^
2)5"'"^^=25
3)
4) 3-«-2 ^32«-2
=4'""
5) 2"^" =4
6)4^''"'=16
7)43m+3^1
8) 5^'' = 25
9) 216"^" = 36"^'
10) 36"^*"'=216"^
11) 25''^^ = 625"''
12) 36'"^ =216'''
13) 216"^""'^ =36^~^"
14)
15) 25^" = 125"^
16) 2"^''"^ •2"^"^"^ = 4
17) 243^^ •243'"'^ =81
18) 27^~"-243" = 9
19) ———
=243
243I-2X
20) 16^""-4
21) 64^'"'^ = 16
22) 3^''= 3^
23) 2"-2'"^" = 1
>2013 Kuta Software LLC. All rights reserved. Made with Infinite Algebra 2.
=4^"^
Period.
Unit #3- Linear and Exponential Functions
Nome:
Day 26
Dote:
Exponent Problems
1. (4a^)(a')(3a')
2. (^eYj(eff
3. {y'z)(yz-')
4. (lo^r
6. (2x^)>x=f
lOxV®
22xV
9. (4g'h)(-2g)'
n. -6(xV)'
,3. -|(,5r^)
8. (-6p)^
10. (2ab^c^)(4a^b^c^)
' 28g-'h'
(xV)(x/)
xV
15. (cc|-^)"^
(2m'nf
' -lOmV
CC Coordinate Algebra
Unit #3a - Linear and Exponential Functions
Day 26
Practice with Combining Like Terms
UNIT QUESTION: How con we use real-world situations to construct and compare linear and
exponential models and solve problems?(Standard: MCC9-12.F.BF)
Today's Question: How do we combine like terms? (Standard: MCC9-12.F.BF.1b
Simplify each expression:
1. 5x - 2(5 + 8x)
2. 7(r + 2) + 8r
3. -2b-6(7b-2)
4. 7(r + 2)-8(2r-6)
5. -2(b-6)-5(7b-2)
6. 6b2(l + 3b)-2b(-4b2-3)
7. -7x2(-7x + 1) + x(1-3x)
8. -2y2(-4y + l)-5y'(2-3y)
9. 5x2(y-8x)-8x2(x-3y)
10. -3x(x - 5) + 5(x + 5)
Answers to Applying Exponent Rules (ID: 1)
1) 6a^
2) 3x^
3) 2v^
3
4) —
X
5)
12v^
6) —^
7) 9v^
8) 9x^
u
9) 1
10) 9
_
11)
13) 1
1
14)
1
18) 1
17) —
15)
1
1
12)
2jc^
1
riT
81xy^
3
19) —
I6n^^
1
16) TT-
xY
20)
3Jt^
2
3
21) —tt
4y'^;c^
25) ^16
...
22) —
4
26) In
>2013 Kuta Software LLC. All rights reserved. Made with Infinite Algebra 1.
...
3
...
23) —^
24)
27) ^
28)
4v^m
1
3a:
2b^
ID: 1
ACC Math
Name
Exponential Property of Equality Worksheet
Date
© 2013 Kuta Software LLC. All rights reserved.
Solve each equation.
1) 5"" = 5'^
{-4}
3)4-2^-2=4-^
2) 5"'^^=25
{1}
4) 3-"-2 = 32«-2
{-2}
{0}
5) 2"^''=4
6) 4^^-^ =16 |-|
{-1}
7)43m+3^1
8) 5^'' = 25
{-1}
{1}
9) 216"^'= 36"^"
10) 36"^*"^ =216"* |--|
{0}
^
n)25"^=625"' |-||
12) 36""'=216"' |j|
13) 216"^""'^ =36^"^"
14) 8'''^=4^''
{1}
{9}
15) 25^"
25^" =125"^
16) 2"^''"^ •2"^"^"^ =4 |-^|
{0}
17) 243^^ •243''^^ =81 |-^|
18) 27^""-243" =9
{-2}
{1}
20)16-=4{i}
21) 64^'"'^ =16 |-^|
22) 3^" =3^ |||
19) —^
=243
2431-221
23) 2"-2^"^" = 1
{1}
2013 Kuta Software LLC. All rights reserved. Made with Infinite Algebra 2.
Period.
I
CC Coordinate Algebra
Unit #3A - Linear and Exponential Functions
Nome:
Day 26
Date:
Exponent Problems
1. (4a^)(a^)(3a^)
2. K)(^'
ido,"
<#
3. (y'z){YZ-'}
"• (lo^r
h-^=-^h =
'O0000(
6. (2x')''(3x')'
5-(«f
^ ]OxY
22xV
U
8. Hpf C-t)^p^
^
9. (4g'h)(-2g)' ija 3/ (-ifU) ^
10. (2ab^c^)(4a^b^c^)
11.-6(xv)'
12•
36
(r2_ q/,
28g-V
-(zYf"(xV)(x/)_
13. -^(I5r'1 -I4-
'
_ ^-9
's-K^r
->
{
. /
•
- d
t L
16.
c
-fc>
L,
' Yr' ' f
iry. 4. l3
{2m'nf
-lOmV
n 3
13.
h
-[O'^ ^>7 ^
CC Coordinate Algebra
Unit #3a - Linear and Exponential Functions
Day 26
Practice with Combining Like Terms
UNIT QUESTION: How can we use real-world situations to construct and compare linear and
exponential models and solve problems?(Standard: MCC9-12.F.BF)
Today's Question: How do we combine like terms? (Standard: MCC9-12.F.BF.1b
Simplify eocti expression:
1. 5x - 2(5 + 8x)
2. 7(r + 2) + 8r
I'^r
llx-IO
4. 7(r + 2)-8(2r-6)
3. -2b-6(7b-2)
—
5. -2(b - 6)-5(7b-2)
t"
6. 6b'(l + 3b)-2b(-4b'-3)
/o
3
-T"
7. -7x2(-7x + 1) + x(1-3x)
8. -2y^(-4y +1)-5yjl2^3y)
y fnc
^ '"1f^C
9. 5x^(y-8x)-8x^(x-3y)
10. -3x(x - 5)+ 5(x+ 5)
5^- Vby^t20A,
^
ACC Math
ED: 2
Name
Exponential Property of Equality Worksheet
Date
© 2013 Kuta Software LLC. All rights reserved.
Solve each equation.
1)4"^" = 16
2) 6"" = 6^""'^
3) 2'^'' = 1
4) 5"^^ = 625
5)5i-v^53v
^2^+3 ^93.-1
7)9^^^=81
8)5^"^'^=625
9) 36^"*"' =216
10) 36^^ = 216^"^^^
11)64^ = 16"^^
12)216^^^ = 36
13) 81"" = 27"
14) 16"'""^ =2^
15) 8^""^ =32^
16) 16^^ = 64^''"^
17) 4"^'= = 16
18)4"""^ =16
19) 64-4"^' =4^"^
20)
243^'"^
3^
21) 25''-625 = 625
23) 625^" = 25"^^
2013 Kuta Software LLC.
All rights reserved. Made with Infinite Algebra 2.
,
—=1
22) 3^" = 81
Period
ID: 2
ACC Math
Name
Exponential Property of Equality Worksheet
Date
© 2013 Kuta Software LLC. All rights reserved.
Solve each equation.
l)4"^ =16
2) 6"" =6^*^' {-~|
{-1}
'
3)2"^'' =1
4) 5"" =625 {--]
{0)
^
5) 5'"' =5'' |i|
6)9^*'=9'°"'
{4}
I)9''*^ = Sl
8) 5^"^'' = 625
{0}
{-1}
9) 36^""^ =216 III
10) 36^^^ =216^'^^^ |-||
II) 64^" =16"^''
12) 216^"^ =36 |-|
{0}
13) 8r" =27"
14) 16~''"^=2^ |--|
{0}
15) 8^""^ =32^ |-||
17) 4"^*^ =16 |-||
^
16) 16'' =64^'^"^ |||
18) 4~"~^ =16
{-3}
19) 64 •4"^"^ = 4^"^
|-|
W
21) 25''-625 = 625
{0}
23) 625^"
243^'"^ , ri3]
20-^=1
|-|
22) 3^" = 81
{2}
=25-" {|}
I 2013 Kuta Software LLC. All rights reserved. Made with Infinite Algebra 2.
Period.
ID: 2
ACC Math 1
Name
Applying Exponent Rules
Date
© 2013 Kuta Software LLC. All rights reserved.
Simplify. Your answer should contain only positive exponents.
1) la •3a^
2)
•4v^
3) 4n •3n
4)
•3/ •2jc"'
5)
6) 3yx^ •4y~^
•4vu~^
I) 2y/ •lyx~'^
8) 4x^y* •4x~^y'^
9) {ip^f
10) (3«)^
II) {im^) '
12)
13) {x^y^Y
14) {ab~^) ^
15) (3y"^)'^
16) {la^b'^Y
2
3x
17) —
18)
n
In
3v^
19) —
20)
V^
-3
U
4a^
2a ^
0
3
V
21) -T^
3u^v^
Ixy^
w
22)
2
V
4u^v^
^//
23) — 2 4 )
^02
-) 4 3
2x
y
3x
y
25)
•2r^
27) (la^f •b\~^
5 2013 Kuta Software LLC. All rights reserved. Made with Infinite Algebra 1.
26)
•(m~^)
28) 2xy~^ •[y^f
Period
y
u
3mS^
26)
4v
2013 Kuta Software LLC. All rights reserved. Made with Infinite Algebra 1.
25 Ir^
M
22) —
18) ^In
17) 4X
1
—T-T
14) ^
13) xV
10) 27n^
I2x^
6) —T-
2) 4v^
4v^
9)4
5)
1) 6
1
2x
/
^
28) —
3
8a^
1
24) -
16)^
12)
8) 16/jc
4) 6x
4b^
27) —
23) X
15) ^
' Im'
^^81
1)
3) 12n^
Answers to Applying Exponent Rules (ID: 2)

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