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MIDTERM REVIEW UNIT 1 – POLYNOMIALS & FACTORING October 23 rd

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Warm Up10/23 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

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TEAMS 3rd THE 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

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TEAMS 2nd THE GREATER THANS Rebecca Donelle Patrick Diamond Ahja THE PROBLEM SOLVERS Anthony Kayla Luis Berenice Kristen THE SOLUTIONS THE RADICALSTHE TRANSFORMATIONS Shemiah Daniqua Derrick Madisyn Jared Nathan Destiny Kelly Brenda Montana Dany Darren Gracia Trevon Theo

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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!

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Group 1-Trinomials

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Group 2-Factoring By Grouping

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Group 3-Difference of Squares

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Group 4-Perfect Square Trinomial

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Group 5-GCF

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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! 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!

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SIMPLIFY: (4x 5 + 11x 3 - 5) + (-3x 5 +7) SIMPLIFY: (4x 5 + 11x 3 - 5) + (-3x 5 +7) #1

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#2 Find f(3) for f(x) = 4x 2 – 5x + 7:

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FACTOR COMPLETELY: #3

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The number of cars sold in 1990 can be modeled by the expression 2x 3 + 7x - 5. In 2010, the number of cars sold can be modeled by the expression 4x 3 - 3. Write an expression that modeled how many more cars were sold in 2010 than in 1990. The number of cars sold in 1990 can be modeled by the expression 2x 3 + 7x - 5. In 2010, the number of cars sold can be modeled by the expression 4x 3 - 3. Write an expression that modeled how many more cars were sold in 2010 than in 1990. #4

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If (x – 4) is a factor of x 2 –x + w, then what is the value of w? #5

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Find 3 consecutive even integers whose sum is 90. #6

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#7

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FACTOR COMPLETELY: #8

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#9

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Factor by grouping: 3x 3 + 4x 2 – 15x -20 Factor by grouping: 3x 3 + 4x 2 – 15x -20 #10

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FACTOR (GCF): 4x 5 y 2 -24x 3 y FACTOR (GCF): 4x 5 y 2 -24x 3 y #11

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Simplify: Simplify: #12

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FACTOR: #13

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FACTOR: #14

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SIMPLIFY: #15

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FACTOR: #16

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SIMPLIFY #17

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SIMPLIFY: #18

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FACTOR BY GROUPING: FACTOR BY GROUPING: #19

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BONUS SIMPLIFY! BONUS SIMPLIFY! #20

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HOMEWORK MIDTERM ON FRIDAY! Study!!!! STUDY!!! STUDY!!!! – Review Packet – Old Tests*** – Notes

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