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Mathematics

9th Grade

CCSS covered

Monomials and Factoring
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19 questions

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1.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Factor
4b5+4b3+16b2

4b3(b4+b2+4b)

4b3(b4+4b+5)

4(b5+b3+4b2)

4b2(b3+b+4)

2.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Factor using GCF or monomial factoring: 2n2-8n3

2n2(n-4n2)

2n2(1-4n)

2n3(10-8n2)

3n(1-4n)

3.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Factor out the GCF:
10x³ - 15x

x(10x² - 15)

5x(2x² - 3)

5(2x³ - 3x)

5x²(10x - 3)

4.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

What is the GCF of the terms below?

8x

6x2

12x2

4x

12x3

5.

DROPDOWN QUESTION

1 min • 1 pt

Factor by grouping to find all real solutions to the equation 16x3−48x2−x+316x^3-48x^2-x+3 .

Step 1 - factor out GCF's: ​ (a)   (x-3)​ (b)   (x-3)

Step 2 - "commons & leftovers" : ​ (x-3) ​ (c)  

Step 3 - factor difference of squares: (x-3)​ (d)  

Step 4 - Solve: ​ (e)  

16x216x^2  

−1-1  

(16x2−1)\left(16x^2-1\right)  

(4x+1)(4x−1)\left(4x+1\right)\left(4x-1\right)  

x =3, ±14x\ =3,\ \pm\frac{1}{4}  

x=±3, ±4x=\pm3,\ \pm4

(8x+1)(2x−1)\left(8x+1\right)\left(2x-1\right)

(x+3)\left(x+3\right)

+1+1

Tags

CCSS.HSF-IF.C.7C

6.

MATH RESPONSE QUESTION

1 min • 1 pt

If a = 4x and b = 5, write a SUM of Cubes Problem that would need to then be factored.

64x3+12564x^3+125

Mathematical Equivalence

ON

Tags

CCSS.HSA.APR.C.4

7.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Factor using GCF or monomial factoring:

w3 + 3w

3w(1)

w(w2 + 3)

w3(w + 3)

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