MIDTERM REVIEW
UNIT 1 – POLYNOMIALS & FACTORING
October 23rd
Warm Up
10/23
Fill in the following sentences:
• When you multiply like variables you ______ their exponents.
• When you divide like variables you _______ their exponents.
• When you raise a variable to a power you _________ the
exponents.
Write an example (or find one in your notes) of each of the following
types of factoring problems:
• Factoring a Trinomial (a= 1)
• Factoring By Grouping
• Difference of Squares
• Perfect Square Trinomial
• Greatest Common Factor
TEAMS 3rd
THE GREATER THANS
•
•
•
•
•
•
Allona
Omar
Kathya
Joseph
Leigha
Ahmad
•
•
•
•
•
•
THE EQUAL TOOS
• Rhayne
• Almas
• Justice
• Morgan
• Melene
• Jazmine
THE SOLUTIONS
Brooke
Symon
Noah
Jordan
Sunny
Maria A
THE RADICALS
•
•
•
•
•
Thomas
Miya
Naiya
Tyrajah
Daron
THE PROBLEM SOLVERS
•
•
•
•
•
Maria C
Guery
Amber
Labria
Dagim
TEAMS 2nd
THE GREATER THANS
•
•
•
•
•
Rebecca
Donelle
Patrick
Diamond
Ahja
•
•
•
•
•
Dany
Darren
Gracia
Trevon
Theo
•
•
•
•
•
Shemiah
Daniqua
Derrick
Madisyn
Jared
THE RADICALS
•
•
•
•
•
THE SOLUTIONS
THE PROBLEM SOLVERS
Nathan
Destiny
Kelly
Brenda
Montana
THE TRANSFORMATIONS
•
•
•
•
•
Anthony
Kayla
Luis
Berenice
Kristen
You teach!
• To quickly review the different types of factoring,
each group will get an equations and give a BRIEF
explanation of how to factor.
• I will RANDOMLY choose two members to come
up and teach---so EVERYONE in your group should
be prepared!
Group 1-Trinomials
x  x  30
2
Group 2-Factoring By Grouping
12 x  8 x  3 x  2
2
Group 3-Difference of Squares
25 x  9 y
2
2
Group 4-Perfect Square Trinomial
4 x  28 x  49
2
Group 5-GCF
7 x y  28 x y
5
4
3
2
•You know it works!
•
1 pt for getting the question right
•
Group can choose between 1, 2, or 3 pointer shot
•
Each team member must shoot before repeating!
Rotate!
#1
SIMPLIFY:
(4x5 + 11x3 - 5) + (-3x5+7)
 6 a  44  34
#2
•Find f(3) for f(x) = 4x2 – 5x + 7:
3
20

x
140
#3
FACTOR COMPLETELY:
x  x  42
2
#4
The number of cars sold in 1990 can be modeled by the
expression 2x3 + 7x - 5. In 2010, the number of cars
sold can be modeled by the expression 4x3 - 3.
Write an expression that modeled how many more cars
were sold in 2010 than in 1990.
#5
2
x
If (x – 4) is a factor of –x + w,
then what is the value of w?
#6
Find 3 consecutive even
integers whose sum is 90.
#7
#8
FACTOR COMPLETELY:
x  3 x  54
2
#9
#10
Factor by grouping:
3x3 + 4x2 – 15x -20
#11
FACTOR (GCF):
5
2
3
4x y -24x y
#12
Simplify:
( 3 x  4 )( 3 x  4 )
#13
FACTOR:
4 x  20 x  25
2
#14
FACTOR:
64 x  9
2
#15
SIMPLIFY:
3
(h k
2
)
5
#16
FACTOR:
25 k
2
 81
#17
SIMPLIFY
5 xy
15 x
2
7
y
3
#18
SIMPLIFY:
( 2 x  5 )( x  3 x  7 )
2
#19
FACTOR BY GROUPING:
7 x  14 x  8 x  16
3
2
200 x
13
y
4
#20
BONUS SIMPLIFY!
HOMEWORK
• MIDTERM ON FRIDAY!
• Study!!!! STUDY!!! STUDY!!!!
–Review Packet
–Old Tests***
–Notes