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Algebra Factoring Test

Authored by Anthony Clark

Mathematics

9th Grade

CCSS covered

Algebra Factoring Test
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20 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

20x3-25x2+4x-5

(5x2-5)(4x+1)

5(x2-1)(4x+5)

(5x2+1)(4x-5)

(5x2+1)(4x-1)

2.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Factor by grouping:
5n³-10n²+3n-6

(5n²+3)(n-2)

(5n²-3)(n-2)

(5n³+3)(n-2)

10n(n²-6)

3.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

4x2 - 25

(2x + 5) (2x - 5)

(2x - 5)2

(2x + 5)2

2x + 5(2x - 5)

Tags

CCSS.HSA.APR.C.4

4.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Which one is false about the difference of two squares?

We can factor that it is addition sign.

We can factor that it is a perfect squared number (Example: x2, 25, 49)

Formula: a2 - b2 = (a + b) (a - b)

We can factor that it is minus sign.

Tags

CCSS.HSA.APR.C.4

5.

MATCH QUESTION

1 min • 1 pt

Media Image

Match each polynomial to its factored form.

3x2−4x−153x^2-4x-15

(8x - 1)(8x + 1)

x2+10x+16x^2+10x+16

(x + 8)(x + 2)

x3+6x2+8x+48x^3+6x^2+8x+48

(x2+8)(x+6)\left(x^2+8\right)\left(x+6\right)

64x2−164x^2-1

(x - 3)(3x + 5)

6.

DRAG AND DROP QUESTION

1 min • 1 pt

Complete the steps to solve −x4+14x2−45=0-x^4+14x^2-45=0 by factoring.

−(x4−14x2+45)=0-\left(x^4-14x^2+45\right)=0  

−(x4−14x2−45)=0-\left(x^4-14x^2-45\right)=0

−(x2−9)(x2−5)=0-\left(x^2-9\right)\left(x^2-5\right)=0  

x=±3, ±5x=\pm3,\ \pm\sqrt[]{5}  

x=±3, ±5ix=\pm3,\ \pm\sqrt[]{5}i

Tags

CCSS.HSA-REI.B.4B

7.

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

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