WorksheetsReveal Algebra Module 8
Total questions: 21
Worksheet time: 30mins
Name
Class
Date
1.
3x2 - 75
a)
3( x + 5 ) ( x - 5 )
b)
Prime
c)
( x + 5 ) ( x - 5 )
d)
3( x - 5 ) ( x - 5 )
2.
Which of the following is NOT a perfect square trinomial?
a)
x2 – 2x + 1
b)
x2 + 14x + 49
c)
x2 – 10x + 25
d)
x2 + 8x – 16
3.
Factor: x2 + 24x + 144
a)
(x + 12)2
b)
(x + 9)2
c)
(x + 15)2
d)
(x + 13)2
4.
Factor by grouping:
4p³+8p²+3p+6
a)
(2p²+3)(p+2)
b)
(2p²+6)(p+4)
c)
(4p²+3)(p+2)
d)
(4p²+8p)(3p+6)
5.
Factor by grouping
x3 - 4x2 -4x + 16
x3 - 4x2 -4x + 16
a)
(x+4)(x+2)(x - 2)
b)
(x-4)(x2 -4)
c)
(x+4)(x2 -4)
d)
(x-4)(x-2)(x + 2)
6.
Factor completely:
3x2 - 7x - 6
3x2 - 7x - 6
a)
(3x + 2)(x - 3)
b)
(3x - 2)(x + 3)
c)
(3x - 3)(x + 3)
d)
(3x - 4)(x - 2)
7.
What is the greatest common factor of 48x2and 32x3?
a)
8x2
b)
16x2
c)
16x
d)
96x3
8.
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
9.
Find the difference.
(3- 2x + 2x2)
- (4x -5 +3x2)
(3- 2x + 2x2)
- (4x -5 +3x2)
a)
x2 + 6x + 8
b)
2x2 + 5x - 7
c)
-x2 -6x + 8
d)
-2x2 + 11x - 4
10.
Is this a perfect square trinomial?
x2 + 10x + 100
x2 + 10x + 100
a)
Yes
b)
No
11.
Factor: x2-7x+6
a)
(x-6)(x-1)
b)
(x+6)(x+1)
c)
(x-6)(x+1)
d)
(x+6)(x-1)
12.
Factor: x2-15x+54
a)
(x-9)(x-6)
b)
(x+9)(x+6)
c)
(x-9)(x+6)
d)
(x+9)(x-6)
13.
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)
14.
Simplify:
(x2 - 3x - 2) + (5x2 + 10x - 5)
a)
5x4 - 30x2 + 10
b)
6x2 + 7x - 7
c)
6x4+ 7x2 - 7
d)
4x2 + 13x + 7
15.
Simplify:
(2x - 2)(x2 + 3x + 5)
(2x - 2)(x2 + 3x + 5)
a)
3x2 - 10
b)
6x2 - 10
c)
x2 + 5x + 3
d)
2x3 + 4x2 + 4x - 10
16.
Simplify:
(x - 2)(x + 2)
(x - 2)(x + 2)
a)
2x - 4
b)
x2 + 4x - 4
c)
x2 - 4
d)
2x + 4
17.
Give the correct name for
-3x4-3x2+5
a)
Constant Trinomial
b)
Quartic Trinomial
c)
Quadratic Trinomial
d)
Linear Trinomial
18.
Give the correct name for
2x3
a)
Quadratic Monomial
b)
Linear Monomial
c)
Quadratic Trinomial
d)
Cubic Monomial
19.
Factor the GCF:
2n2-8n3
a)
2n2(n-4n2)
b)
2n2(1-4n)
c)
2n3(10-8n2)
d)
2n(n-4n3)
20.
Factor the GCF:
80x5-70x2-60x7
a)
2x2(80x3-70-60x6)
b)
10x2(80x4-70x-60x6)
c)
10x2(8x3-7-6x5)
d)
3x2(80x3-40-60x5)
21.
Find the sum.
(3y2 + y3 - 5) + (4y2 -4y + 2y3 + 8)
a)
3y3 + 7y2 - 4y + 3
b)
4y2 + 3y3 - y + 3
c)
-y4 + 2y3 -y - 4
d)
4y3 + 3y2 -3y + 1
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