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Greatest Common Factor

Greatest Common Factor

Assessment

Presentation

•

Mathematics

•

10th Grade

•

Practice Problem

•

Medium

Created by

Abbie Moothart

Used 1+ times

FREE Resource

12 Slides • 7 Questions

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• Ch. 8 test makeups / retakes at

lunch and after school

• All Ch. 8 work is past due and

will no longer be accepted

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MA.912.AR.1.1

Identify and interpret parts of an equation or expression
that represent a quantity in terms of a mathematical or
real-world context, including viewing one or more of its
parts as a single entity.

MA.912.AR.1.3

Add, subtract and multiply polynomial expressions with
rational number coefficients.

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State if there is positive, negative, or no correlation

What is the difference in correlation and causation

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•Factors

are

two

numbers

or

algebraic

expressions that we multiply together to get

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6

Multiple Choice

List all the factors of 12

1

1, 2, 3, 4, 6, 12

2

2, 4, 6, 8, 10, 12

3

12, 24, 36, 48

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Multiple Choice

List all the factors of 45

1

5, 10, 15, 20, 30, 25, 45

2

1, 45, 90, 135

3

1, 5, 9, 45

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•The greatest common factor is the largest
factor that all terms are divisible by
•To find list out all the factors of each term,
circle the factors listed for both, multiply
everything that is circle together

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18

54

28x

63x

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44y

26

27x3

45x2

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Fill in the Blanks

Find the GCF of 10x+20x210x+20x^2

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Fill in the Blanks

Find the GCF of 16ab−80b16ab-80b

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Math Response

Find the GCF of 24a2b3+32ab224a^2b^3+32ab^2

Type answer here
Deg°
Rad

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•Find your GCF
•Place GCF on the outside of parenthesis
•Everything ‘left over’ when dividing by GCF
goes inside parenthesis

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16

Multiple Choice

Factor out the GCF 12x+27xy12x+27xy

1

3(4x+9xy)

2

4(3x+9y)

3

3xy(4+3y)

4
3x(4+9y)

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Multiple Choice

Factor out the GCF 39a3b2+52a2b339a^3b^2+52a^2b^3

1

3a2b(13ab+5)3a^2b\left(13ab+5\right)

2

26a2b2(a+2b)26a^2b^2\left(a+2b\right)

3

3a2b2(3a+4b)3a^2b^2\left(3a+4b\right)

4

13a2b2(3a+4b)13a^2b^2\left(3a+4b\right)

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Given 4 terms
Split in half (2 terms and 2 terms)
Take out the GCF for each pair
Inside of parenthesis should be matching
First term is inside of parenthesis second term is outside of parenthesis

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pattern-tertiary
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