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WorksheetsFactoring Review
Total questions: 20
Worksheet time: 56mins
Name
Class
Date
1.
Factor:
56a3-8a
56a3-8a
a)
8a2(56a3-8a)
b)
8a(7a2-1)
c)
8a(7a3-a)
d)
8a2(35a2-a)
2.
GCF of 12 and 18
a)
3
b)
4
c)
6
d)
2
3.
Factor by using GCF:
8n3 + 2n2
8n3 + 2n2
a)
2n2(4n-1)
b)
2n2(4n + 1)
c)
n2(8n+2)
d)
3n(4n+1)
4.
Factor by grouping
x2 - 4x -4x + 16
a)
(x+4)(x+2)
b)
(x-4)(x -4)
c)
(x+4)(x -4)
d)
(x-4)(x-2)
5.
30x2+15x-18x-9
a)
(5x-3)(6x+1)
b)
(5x-3)(6x+3)
c)
3(5x+3)(2x-1)
d)
3(5x-3)(2x+1)
6.
What is the factored form of x³+7x²-2x-14
a)
(x²-2)(x-7)
b)
(x²+2)(x-7)
c)
(x²+2)(x+7)
d)
(x²-2)(x+7)
7.
Multiply.
(x + 5)(x + 4)
(x + 5)(x + 4)
a)
x2 + x + 20
b)
x2 + 20x + 9
c)
x2 + 9x + 20
d)
x2 - 9x + 54
8.
Multiply.
(5x + 2)(x2 - 3x + 6)
(5x + 2)(x2 - 3x + 6)
a)
5x3 - 17x2 +24x +12
b)
5x3 + 17x2 - 24x +12
c)
5x3 - 13x2 + 24x +12
d)
5x3 +13x2 - 24x - 12
9.
Multiply.
(x + 7)2
(x + 7)2
a)
x2 + 7x + 7x + 49
b)
x2 + 7x + 7
c)
7x2 + x + 7
d)
x2 + 14x + 49
10.
Multiply.
(b + 3)(b2 + 2b + 1)
(b + 3)(b2 + 2b + 1)
a)
b3+6b2+6b+3
b)
b3+5b2+7b+3
c)
4b3+8b2+3b
d)
3b3+6b2+3b
11.
Factor:
b2 + 8b + 7
b2 + 8b + 7
a)
(b + 4)(b + 3)
b)
(b + 6)(b + 1)
c)
(b + 7)(b +1)
d)
prime
12.
Factor Completely: 6x² + 5x - 6
a)
6(x + 1)(x - 6)
b)
(6x + 6)(x - 1)
c)
(2x - 3)(3x + 2)
d)
(3x - 2)(2x + 3)
13.
Factor Completely: 5v2 - 30v + 40
a)
(5v - 8)(v + 5)
b)
(5v + 5)(v - 8)
c)
5(v - 4)(v - 2)
d)
5(v + 8)(v - 5)
14.
Factor
k2 - 2k - 24
k2 - 2k - 24
a)
(k+4)(k-6)
b)
(k+4)(k+6)
c)
(k+6)(k-1)
d)
(k-4)(k+6)
15.
If the length of a rectangle is (x + 7) inches and the width is (3x+2) inches. Which expression represents the rectangle's area?
HINT: Area = width * length
HINT: Area = width * length
a)
3x2 + 23x + 14 square inches
b)
4x2 + 21x + 14 square inches
c)
4x +9 square inches
d)
3x2 + 12x + 9 square inches
16.
Simplify the expression
7u2v5 (9uv3)
7u2v5 (9uv3)
a)
16u2v8
b)
63u3v15
c)
63uv8
d)
63u3v8
17.
What happens when I have a negative exponent in the numerator?
a)
I keep it as-is
b)
Move to the denominator
c)
Move to the numerator
d)
Take the square root
18.
Simplify the exponential expression:
a)
10x-2
b)
2x2
c)
2x12
d)
10x12
19.
(m-8)-3
a)
m24
b)
1/m24
c)
m-24
d)
1/m-24
20.
Which of the following are examples of like terms?
a)
2 and 2x
b)
y3 and x3
c)
y and x
d)
-3x and 3x
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