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Factoring Review

Factoring Review

Assessment

Presentation

•

Mathematics

•

8th - 10th Grade

•

Hard

Created by

James Gonzalez

FREE Resource

4 Slides • 33 Questions

1

Factoring Review

Algebra II

Mrs. Jenks

media

2

Poll

How many of you remember reviewing through our spiral review warm-ups?

I do!

A little bit, but I could use more review

Factoring?

3

4

Multiple Choice

Which is a common factor of 12x and 27?

1

x

2

12

3

3

4

9

5

Multiple Choice

What is the GCF? 5x2+20x
1
5
2
x
3
5x
4
20x

6

Multiple Choice

What is the GCF? 3x2-2x
1
3
2
3x
3
x
4
2

7

Multiple Choice

Factor out the GCF


3x3 + 9x

1

3x (x2 + 3)

2

3x ( x3 + 9)

3

x (3x2 + 9)

4

3x (x3 + 3x)

8

Multiple Choice

Factor:
10x + 15
1
100x + 150
2
10(x + 5)
3
1(10x + 15)
4
5(2x + 3)

9

Multiple Choice

Factor
18a2b4c + 24ab3c2
1
6ab3c(3ab + 4c)
2
3abc(6ab3 + 8b2c)
3
6abc(3ab3 + 4c)
4
6ab3c(3b + 4c)

10

Multiple Choice

Factor:
x2 - 5x
1
1(x - 5)
2
x(x - 5x)
3
x(x - 5)
4
x2(1 - 5)

11

Multiple Choice

Factor
12j2k3 - 20hj
1
4j(3jk3 - 5h)
2
4j(6jk3 - 10h)
3
4j(3jk2 - 5h)
4
4j2(24j2k3 - 20h)

12

13

Multiple Choice

Factor q2 - 121

1

(q - 11) (q - 11)

2

(q + 11) (q - 11)

3

(q + 11) (q + 11)

4

Can't factor using Diff. of Squares

14

Multiple Choice

Factor x2 - 9

1

(x + 3) (x - 3)

2

(x - 3) (x - 3)

3

(x + 3) (x - 6)

4

Can't factor using Diff. of Squares

15

Multiple Choice

9n2 + 1
1
(3n + 1) (3n - 1)
2
(3n - 1) (3n - 1)
3
(n + 3) (n - 3)
4
Can't factor using Diff. of Squares

16

Multiple Select

Which of the following are in the form of difference of squares? Select all that apply.

1

(x - 3)(x + 3)

2

(2d - 5)(2d - 5)

3

(f + 6)(f - 6)

4

(k2 - 10)(k2 + 10)

5

(y + 1)(y + 1)

17

Multiple Choice

Fully Factor the Following
25x2-81
1
(5x-9)2
2
(5x+9)(5x-9)
3
25(x-9)2
4
(9x+5)(9x-5)

18

Multiple Choice

Factor the expression completely:

25x2+425x^2+4  

1

Not Factorable

2

(5x−2)(5x+2)\left(5x-2\right)\left(5x+2\right)  

3

(5x−4)(5x−1)\left(5x-4\right)\left(5x-1\right)  

4

(5x+4)(5x+1)\left(5x+4\right)\left(5x+1\right)  

19

Multiple Choice

3x2 - 75
1
3( x + 5 ) ( x - 5 ) 
2
Prime
3
( x + 5 ) ( x - 5 ) 
4
3( x - 5 ) ( x - 5 ) 

20

Multiple Choice

r2 - 9t2
1
(r + 3t) (r - 3t)
2
(r - 3t) (r - 3t)
3
(3r + t) (3r - t)
4
Can't factor using Diff. of Squares

21

22

Multiple Choice

Factor

x2 + 7x + 12

1

(x + 2)(x + 10)

2

(x + 3)(x + 4)

3

(x + 4)(x + 5)

4

(x + 4)(x + 6)

23

Multiple Choice

Factor completely:

y2 - 7y + 12

1

(y - 3) (y - 4)

2

(y + 3) (y - 4)

3

(y + 3) (y + 4)

4

(y - 2) (y - 6)

24

Multiple Choice

Factor
k2+7k+10

1
(k+2)(k+5)
2
(k-2)(k-5)
3
(k+10)(k+4)
4
(k+2)(k-5)

25

Multiple Choice

x2+10x+16

1

(x-2)(x-8)

2

(x+2)(x+8)

3

(x+1)(x+16)

4

(x+6)(x+10)

26

Multiple Choice

Factor
k2 -2k - 24
1
(k+4)(k-6)
2
(k+4)(k+6)
3
(k+6)(k-1)
4
(k-4)(k+6)

27

Multiple Choice

Factor
n2 + 16n + 63
1
(n-7)(n+4)
2
(n+7)(n-9)
3
(n-3)(n-10)
4
(n+7)(n+9)

28

Multiple Choice

Factor the Trinomial:
x2 - 8x + 15
1
(x + 5) ( x + 3)
2
(x - 5) (x - 3)
3
(x + 15) (x - 1)
4
(x - 7) (x - 8)

29

Multiple Choice

Factor completely: 
3x2 + 18x +15
Hint: Factor GCF first.
1
3(x2 + 6x + 5)
2
(x + 5)(x + 1)
3
3(x + 5)(x + 1)
4
Prime

30

Multiple Choice

Factor the Trinomial:
x2 - 8x + 15
1
(x + 5) ( x + 3)
2
(x - 5) (x - 3)
3
(x + 15) (x - 1)
4
(x - 7) (x - 8)

31

Multiple Choice

Factor
10x2 + 15x-5
1
25(10x3+45x-15)
2
5(2x3 + 3x2-x)
3
x(10x3+15x-5)
4
5(2x2+3x-1)

32

Multiple Choice

Factor this trinomial:
k2 - 2k - 24
1
(k+4)(k+6)
2
(k+4)(k-6)
3
(k+6)(k-1)
4
(k-4)(k+6)

33

Multiple Choice

Factor this trinomial:
x2+10x+16
1
(x+2)(x+8)
2
(x-2)(x-8)
3
(x+1)(x+16)
4
(x+6)(x+10)

34

Multiple Choice

Factor: x2 - 4x + 4
1
(x + 2)2
2
(x - 2)2
3
(x + 4)2
4
(x - 4)2

35

Multiple Choice

Factor: x2 + 24x + 144
1
(x + 12)2
2
(x + 9)2
3
(x + 15)2
4
(x + 13)2

36

Poll

Which do you need the most help with?

Factoring out a GCF

Difference of Squares

Factoring Trinomials

37

Poll

After reviewing basic factoring- on a scale of 1 to 4, how do you feel about factoring?

4- This is easy, I could teach it to the class

3- I am good most of the time

2- Ehhh, I can do it some times

1- What in the world is this? I wasn't here or coherent when we reviewed this

Factoring Review

Algebra II

Mrs. Jenks

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