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Module 6 Final Review

Total questions: 25

Worksheet time: 2hrs 41mins

Name
Class
Date
1.
What are the factors of
25x2 - 81?
a)
(5x - 9)(5x + 9)
b)
(5x - 9)(5x - 9)
c)
(5x + 9)(5x + 9)
d)
Cannot be factored
2.

Factor 4b5+4b3+16b2

a)

4b3(b4+b2+4b)

b)

4b3(b4+4b+5)

c)

4(b5+b3+4b2)

d)

4b2(b3+b+4)

3.
Factor completely.
k2 -2k - 24
a)
(k+4)(k-6)
b)
(k+4)(k+6)
c)
(k+6)(k-1)
d)
(k-4)(k+6)
4.
Factor completely:
 3x² + 5x - 12
a)
(3x + 4)(x-3)
b)
(3x - 4)(x + 3)
c)
(3x + 3)(x -4)
d)
(3x - 3)(x + 4)
5.
Factor
3v2 - 4v - 7
a)
(3v-7)(v+1)
b)
3(v-7)(v-1)
c)
(3v+1)(v-9)
d)
(3v+1)(v-10)
6.
Factor:
p2 - 14p
a)
p(1 - 14)
b)
2p(p - 7)
c)
p2(1-14)
d)
p(p - 14)
7.
x- 16
a)
Prime
b)
( x - 4) ( x + 4) 
c)
( x - 8) ( x + 8) 
d)
( x - 4) ( x - 4) 
8.
Factor:
x+ 7x - 30
a)
(x + 10)(x - 7)
b)
(x - 10)(x + 3)
c)
(x + 10)(x + 3)
d)
(x + 10)(x - 3)
9.
Factor: 
25x2 - 100y2
a)
( 5x - 10y) (5xy + 10y) 
b)
( 5x - 10y)2
c)
Prime
d)
( 5x - 50y) (5x + 50y) 
10.
Factor: x2 + 24x + 144
a)
(x + 12)2
b)
(x + 9)2
c)
(x + 15)2
d)
(x + 13)2
11.

Solve by factoring: x2 + 12x + 35 = 0

a)

x = 5 and x = 7

b)

x = -5 and x = -7

c)

x = -5 and x = 7

d)

x = 5 and x = -7

12.

Solve by factoring: x2 - 7x + 10 = 0

a)

x = 5 and x = 2

b)

x = -5 and x = -2

c)

x = -5 and x = 2

d)

x = 5 and x = -2

13.

Solve for x: (x - 5)(4x + 7) = 0

a)

x = 5 and x = -4/7

b)

x = -5 and x = 4/7

c)

x = 5 and x = -7/4

d)

x = -5 and x = 7/4

14.

Solve for x.

3x2 = 48

a)

x = ± 4

b)

x = ± 12

c)

x = ± 16

d)

x = √16

15.

Solve for x.

(x - 7)2 + 4 = 40

a)

x = -1, -13

b)

x = 1, 7

c)

x = -1, -7

d)

x = 1, 13

e)

x = -7, -13

16.

Solve for x.

(x - 4)2 + 8 = 33

a)

x = -9, 1

b)

x = -1, 9

c)

x = 1, 9

d)

x = 3, 11

e)

x = -11, -3

17.

What is the first step when factoring polynomials?

a)

Find the GCF

b)

List all the terms

c)

Make the X and fill in the top and bottom

d)

Multiply a and c

18.

Factor using GCF or monomial factoring:

2n2-8n3

a)

2n2(n-4n2)

b)

2n2(1-4n)

c)

2n3(10-8n2)

d)

3n(1-4n)

19.
A rectangle has an area of 4x2 +19x + 12 and a length of (x + 4). What is the width?
a)
4x - 3
b)
4x + 3
c)
2x + 6
d)
2x + 3
20.
Factor completely: 2x2+22x+60
a)
(2x+10)(x+6)
b)
(x+5)(x+6)
c)
2(x+1)(x+30)
d)
2(x+5)(x+6)
21.
Factor Completely.  
8x3 - 18x
a)
2x(4x2-9)                                    
b)
(4x2+3)(2x-3)
c)
2x(2x+3)(2x-3)
d)
PRIME
22.
Factor: x2 - 4x + 4
a)
(x + 2)2
b)
(x - 2)2
c)
(x + 4)2
d)
(x - 4)2
23.
Factor completely: 25x2+60x+36
a)
(25x-6)(x-1)
b)
(5x-6)(5x-6)
c)
(5x+6)2
d)
(25x+4)(x+9)
24.
Factor completely: 16x2-24x+9
a)
(16x-3)(x-3)
b)
(16x+9)(x+1)
c)
(4x-3)(4x-3)
d)
(4x+3)(4x+3)
25.

What are the factors of 30?

a)

1,2,3,5,6,10,15,30

b)

1,2,3,10,15,30

c)

1,2,3,4,5,6

d)

5,6