Algebra Chapter 8/9 Study Guide
Test Date: _____________________
Section
What to Know
8.3 Products of
Powers
How to multiply powers with like bases with positive and
negative exponents
8.4 Powers of
Powers
How to raise powers to positive and negative powers
How to raise products to positive and negative powers
How to raise quotients to positive and negative powers
8.5 Quotients of
Powers
How to find quotients of powers with like bases with
positive and negative exponents
8.1 Zero and
Negative
exponents
How to simplify expressions containing zero and negative
exponents
How to evaluate expressions containing zero and negative
exponents
8.2 Scientific
Notation
9.1
Introduction to
Polynomials
9.1 Adding and
Subtracting
Polynomials
How to write numbers in scientific notation
How to write numbers in standard form
How to multiply numbers that are written in scientific
notation
What to Use
to Study
Notes
HW
Quiz
Notes
HW
Quiz
Notes
HW
Quiz
Notes
HW
Quiz
How to add and subtract polynomials
How to factor out a GCF from a polynomial
How to find the missing factor for a product
9.3 Multiplying
Polynomials
How to multiply a binomial by another binomial using
distributive property
How to multiply a binomial by a trinomial using
distributive property
3
 a 2b3 
 4 
 x 
5
 a 2 b 5 
 4 
 x 
 2a b 
5 3
4
a 10b 4
a 2b3
25a 5b3
10a 2b 4
7 y 4
2
5x 
3 2
x 3 y 4
x 7 y 9
Write 123,000,000,000 in scientific notation.
Write 0.00000678 in scientific notation.

Write 4 105
 6 10  in scientific notation.
7
Write 3.809 10
15
in standard form.
Write 6.15 10 in standard form.
Notes
HW
9.2 Factoring
Polynomials
4
6
Notes
HW
How to distribute a monomial to a polynomial
How to divide a polynomial by a monomial
 3x y 
3
x 2 y 5 x3 y 2
3n 2 x 1 5n x  7
2 n 2 5n 4
Notes
HW
Quiz
How to identify the degree of a monomial or polynomial
9.2 Distributing
and Dividing
Polynomials
Example Problem
Notes
HW
Notes
HW
Notes
HW
What is the degree of 7x4 + 3x2 + 10x
(2a3  5ab2  6b)  (5a3  15b)
(17 x3 y 2  5x2 y  2 xy)  (4 x3 y 2  2 x 2 y  2 xy)
7 x 2 (2 x3 y  5 xy 3 )
24 x3 y 2  8 xy
4 xy
Factor 15a3b2 + 10ab using the GCF
Find the missing factor 24x5y4 = (6x3y3)(?????)
( x  9)( x  6)
(n  3)(n  10)
( y  5)( y  2)
( x  5) 2
(a  2)(a 2  4a  3)