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Factoring out the GCF

Authored by Andrea Thomas

Mathematics

7th - 9th Grade

CCSS covered

Used 4+ times

Factoring out the GCF
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10 questions

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1.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Factor out the GCF


3x3 + 9x

3x (x2 + 3)

3x ( x3 + 9)

x (3x2 + 9)

3x (x3 + 3x)

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

2.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

 18x3 + 81x 2718x^3\ +\ 81x\ -27 

Find all factors.

 18(x3 + 4x  2)18\left(x^3\ +\ 4x\ -\ 2\right)  

 3(9x3 +27x  9 )3\left(9x^3\ +27x\ -\ 9\ \right)  

 9(2x3 + 9x  3)9\left(2x^3\ +\ 9x\ -\ 3\right)  

 9x(2x2 + 9x 3)9x\left(2x^2\ +\ 9x\ -3\right)  

Tags

CCSS.HSA.APR.B.2

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which is a common factor of 12x and 27?

x

12

3

9

Tags

CCSS.6.NS.B.4

4.

MULTIPLE CHOICE QUESTION

45 sec • 1 pt

Factor using GCF or monomial factoring:

2n2-8n3

2n2(n-4n2)

2n2(1-4n)

2n3(10-8n2)

3n(1-4n)

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.APR.A.1

5.

MULTIPLE CHOICE QUESTION

45 sec • 1 pt

Factor out the GCF:
10x³ - 15x

x(10x² - 15)
5x(2x² - 3)
5(2x³ - 3x)
5x²(10x - 3)

Tags

CCSS.6.NS.B.4

CCSS.6.EE.A.3

6.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Factor
4b5+4b3+16b2

4b3(b4+b2+4b)
4b3(b4+4b+5)
4(b5+b3+4b2)
4b2(b3+b+4)

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.B.3

7.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

9xyz + 3xy

xy (9z + 3)

9xy (z + 3)

3xy (3xyz + 1)

3xy (3z + 1)

Tags

CCSS.7.EE.A.1

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