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WorksheetsAlgebra-Unit 3
Total questions: 25
Worksheet time: 2hrs 44mins
Name
Class
Date
1.
a)
A
b)
B
c)
C
d)
D
2.
a)
A
b)
B
c)
C
d)
D
3.
Classify
a)
Monomial
b)
Binomial
c)
Trinomial
d)
Polynomial
4.
a)
Monomial
b)
Binomial
c)
Trinomial
d)
Polynomial
5.
What is the perimeter of a square that has a side length of 4x2 – 2x + 4?
a)
8x2 - 4x + 8
b)
16x2 - 8x + 16
c)
16x2+ 8x + 16
6.
The perimeter of a triangle is 20x + 5. Two of the sides have the following lengths:
5x + 4 and 7x - 2.
What is the length of the third side?
5x + 4 and 7x - 2.
What is the length of the third side?
a)
12x + 2
b)
8x + 7
c)
8x + 3
d)
32x + 7
7.
Multiply (p − 8)2
a)
p 2 − 8p − 64
b)
p 2 + 16p + 64
c)
p 2 − 16p − 8
d)
p 2 − 16p + 64
8.
(6x − 1)2
a)
6x2 − 6x + 1
b)
36x2 + 1
c)
36x2 − 12x + 1
d)
36x2 − 1
9.
Find a simplified expression for the area of the shaded region.
a)
2x2 + 2x + 13
b)
10x + 5
c)
10x + 13
d)
2x2 + 13
10.
(5x+1)(x+4)
a)
5x2 + 19x − 4
b)
5x2 + 21x + 4
c)
5x2 + 4
d)
5x2 − 19x − 4
11.
Find the area of the shaded region:
a)
66x3 + 12x2
b)
80x2 - 24x
c)
66x3 + 40x2 + 24x
d)
66x3 + 92x2 -24x
12.
A triangle has a first side of length (x+8y) a second side of length (2x-4y) and a perimeter of 6x -3y. What is the measure of the third side? *Draw a picture!*
a)
3x + 4y
b)
3x - 7y
c)
9x + y
d)
3x + 7y
13.
The area of a rectangular pool table is: x2 + 14x +40.
What are the dimensions of the table?
What are the dimensions of the table?
a)
(x + 8)(x + 5)
b)
(x + 20)(x - 2)
c)
(x + 4)(x + 10)
d)
(x +14)(x + 40)
14.
Find the area of the triangle with height (x+8) and base (2x+4). (A=1/2bh)
a)
2x2+20x+32
b)
x2+10x+16
c)
4x2+40x+64
15.
Find the volume of a rectangular prism with length (x+2), width (x-4), and height (2x+1). (V=lwh)
a)
2x3-3x2-18x-8
b)
x2-2x-8
c)
2x3+5x2+18x-8y
16.
Factor completely.
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)
17.
Factor
x2+12x+35
x2+12x+35
a)
(x+5)(x+7)
b)
(x+4)(x+3)
c)
(x+7)(x-5)
d)
Prime
18.
Factor out the GCF.
10x2+15x-5
10x2+15x-5
a)
25(10x3+45x-15)
b)
5(2x3 + 3x2-x)
c)
x(10x3+15x-5)
d)
5(2x2+3x-1)
19.
Factor completely:
4x2 - 121
4x2 - 121
a)
(2x + 11) (11 - 2x)
b)
(2x - 11) (2x - 11)
c)
(2x + 11) (2x + 11)
d)
(2x + 11) (2x - 11)
20.
The area of a circular rug is 6πk2 + 16πk + 8π
Factor the expression completely.
Factor the expression completely.
a)
π (6k +4)(k + 2)
b)
2π (3k - 2)(k - 2)
c)
2π (k + 2)(3k + 2)
d)
π (2k +4)(3k + 2)
21.
The area of a rectangle is x2+15x+56, and the width is (x+7). What is the length?
a)
(x+15)
b)
x2+15x
c)
(x+8)
d)
(x-8)
22.
The area of a rectangle is x2+17x+60, and the width is (x+5). What is the length?
a)
(x-12)
b)
x2+17x
c)
(x+5)
d)
(x+12)
23.
Divide:
(4x2 - 24x + 35) / (2x - 5)
(4x2 - 24x + 35) / (2x - 5)
a)
2x - 7
b)
2x - 12
c)
2x + 12
d)
2x + 7
24.
The area of a rectangle is represented by the expression 6x2+7x+2 square inches. The length is 3x+2 inches. Which expression represents the rectangle's width?
a)
(2x+2) inches
b)
(2x-2) inches
c)
(2x+1) inches
d)
(2x-1) inches
25.
What do you call a polynomial that cannot be factored?
a)
nonfactorable
b)
Simplified
c)
Prime
d)
Proper
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