Transcript Slide 1
Do Now 6/10/13
Copy HW in your planner.
Review worksheets Chapter 8 & 9
Algebra Final Exam – Thursday, June 13th
Algebra Final Preview
Thursday, June 13th
2 hours
50 Total Questions – (2 points each)
Part I:
Part II:
40 multiple choice
8 short answer / graphs
Work must be shown
Part III:
1 open-ended (2 parts)
Objective
SWBAT review Chapter 8 concepts;
exponents involving products and
quotients and solve problems using
negative and zero exponents.
POWER
an expression that represents repeated
multiplication.
2
4
EXPONENT
BASE
Product
2222
Words
two to the
fourth power
Section 8.1
“Apply Exponent Properties Involving Products”
(1) Product of Powers Property
a a a
m
n
(ab)
63
5 5 5
6
3
5
9
(2) Power of a Power Property
(a ) a
m
m n
n
43
(3 ) 3
mn
4
3
3
12
(3) Power of a Product Property
m
a b
m
m
(2317) 23 17
5
5
5
Section 8.2
“Apply Exponent Properties Involving
Quotients”
(1) Quotient of Powers Property
am
mn
a
an
47
72
5
4
4
42
(2) Power of a Quotient Property
a
b
m
m
a
m ,b 0
b
7
3
3
7
2
2
7
Section 8.3
“Zero and Negative Exponents”
Let ‘n’ be a positive integer and ‘a’ be a nonzero
number.
Negative Exponents
a
n
1
n
a
reciprocals
2
3
1 1
2
3
9
Zero Exponents
a 1
0
5 1
0
Any number or variable to the
zero power is always equal to one.
Evaluate the expressions.
1)
4
3
1
1
3
4
64
3)
1
5
2)
2
0
(5) 1
1
2
1
5
1
1
25
25
Try It Out...
Use All Properties of Exponents
2xy
5 3
23 x 3 ( y 5 ) 3
8 x 3 y 15
3
8x
15
y
(2 x) 2 y 5
2 2
4x y
y5
( 2 x ) 2 ( 4 x 2 y 2 )
y5
(4 x 2 )(4 x 2 y 2 )
5
y
4 2
16x y
3
y
4
16x
Section 8.4, “Scientific Notation”
A number is written in scientific notation
if it has the form:
n
c 10
where c is greater than or equal to 1 but less than 10.
Standard form
Product form
Scientific notation
3400 3.4 1000 3.4 103
**HINT: How many spots has the decimal point moved?
0.00032 3.2 0.0001 3.2 104
Evaluate the product.
Find the product of
1
(0.310 ) and (0.6 10 )
4
4
1
(0.3 10 ) (0.6 10 ) Write the product
4
1
(0.3 0.6 10 10 ) Reorder
5
Multiply
(0.18) (10 )
6
1.8 10
0.0000018
Write in scientific
notation
Decimal
form
3
(2 10 )
6
(8 10 )
Evaluate
the quotient.
2 103
6
8 10
Write the product
(0.2510 )
3
2.5 10
2
Write in scientific
notation
250
Decimal
form
Homework
Punchline worksheets 17.14 & 18.4
“Just Before Giving Birth to Her First Child, Why
Did Mrs. Plum Yell: “Shouldn’t, Couldn’t,
Wouldn’t, Didn’t, Can’t”?
SHE WAS HAVING CONTRACTIONS
“What Law Firm Is Famous For Sneaky Legal
Tricks?”
DEWEY CHEETHAM AND HOWE