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MIDTERM REVIEWUNIT 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 3rdTHE GREATER THANS

• Allona• Omar• Kathya• Joseph• Leigha• Ahmad

THE EQUAL TOOS

• Maria C• Guery• Amber• Labria• Dagim

THE RADICALS

THE SOLUTIONS THE PROBLEM SOLVERS

• Rhayne• Almas• Justice• Morgan• Melene• Jazmine

• Thomas• Miya• Naiya• Tyrajah• Daron

• Brooke• Symon• Noah• Jordan• Sunny• Maria A

TEAMS 2ndTHE GREATER THANS

• Rebecca• Donelle• Patrick• Diamond• Ahja

THE PROBLEM SOLVERS

• Anthony• Kayla• Luis• Berenice• Kristen

THE SOLUTIONS

THE RADICALS THE TRANSFORMATIONS

• Shemiah• Daniqua• Derrick• Madisyn• Jared

• Nathan• Destiny• Kelly• Brenda• Montana

• Dany• Darren• Gracia• Trevon• Theo

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

302 xx

Group 2-Factoring By Grouping

23812 2 xxx

Group 3-Difference of Squares

22 925 yx

Group 4-Perfect Square Trinomial

49284 2 xx

Group 5-GCF2345 287 yxyx

•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!

SIMPLIFY:(4x5 + 11x3 - 5) + (-3x5+7)

#1

#2

•Find f(3) for f(x) = 4x2 – 5x + 7:

3446 a 3446 a 3446 a 3446 a 3446 a

FACTOR COMPLETELY:

#314020

3 x

422 xx

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. 

#4

If (x – 4) is a factor of x2 –x + w, then what is the value of w?

#5

Find 3 consecutive even integers whose

sum is 90.

#6

#7

FACTOR COMPLETELY:

#8

5432 xx

#9

Factor by grouping:

3x3 + 4x2 – 15x -20

#10

FACTOR (GCF):

4x5y2 -24x3y

#11

Simplify:

#12

)43)(43( xx

FACTOR:

#13

25204 2 xx

FACTOR:

#14

964 2 x

SIMPLIFY:

#15

523 )( kh

FACTOR:

#16

8125 2 k

SIMPLIFY

#17

32

7

15

5

yx

xy

SIMPLIFY:

#18

)73)(52( 2 xxx

FACTOR BY GROUPING:

 

#19

168147 23 xxx

BONUS SIMPLIFY!

 

#20

413200 yx

HOMEWORK

• MIDTERM ON FRIDAY!

• Study!!!! STUDY!!! STUDY!!!!–Review Packet–Old Tests***–Notes