Name: 
 

Alg 10.0



Multiple Choice
Identify the choice that best completes the statement or answers the question.
 

 1 

A company distributes its product by train and by truck. The cost of distributing by train can be modeled as mc001-1.jpg, and the cost of distributing by trucks can be modeled as mc001-2.jpg, where x is the number of tons of product distributed. Write a polynomial that represents the difference between the cost of distributing by train and the cost of distributing by trucks.
A
mc001-8.jpg
C
mc001-10.jpg
B
mc001-9.jpg
D
mc001-11.jpg
 

 2 

The legs of an isosceles triangle measure mc002-1.jpg units. The perimeter of the triangle is mc002-2.jpg units. Write a polynomial that represents the measure of the base of the triangle.
A
mc002-11.jpg
C
mc002-13.jpg
B
mc002-12.jpg
D
mc002-14.jpg
 

 3 

Multiply.
mc003-1.jpg
A
mc003-4.jpg
C
6mc003-7.jpgmc003-8.jpg
B
6mc003-5.jpgmc003-6.jpg
D
mc003-9.jpg
 

 4 

Multiply.
mc004-1.jpg
A
mc004-2.jpg
C
mc004-4.jpg
B
mc004-3.jpg
D
mc004-5.jpg
 

 5 

Multiply.
mc005-1.jpg
A
mc005-7.jpg
C
mc005-9.jpg
B
mc005-8.jpg
D
mc005-10.jpg
 

 6 

Multiply.
mc006-1.jpg
A
mc006-11.jpg
C
mc006-13.jpg
B
mc006-12.jpg
D
mc006-14.jpg
 

 7 

A builder uses parallelogram-shaped stones as decoration around a building’s windows. The stones come in many different sizes. Each stone has a base length of x inches and a height of mc007-1.jpg inches. Write a polynomial to describe the area of a stone. Then find the area of a stone that has a length of 6 units.

mc007-2.jpg
A
mc007-6.jpg; Area = 126 in2
C
mc007-8.jpg; Area = 141 in2
B
mc007-7.jpg; Area = 126 in2
D
mc007-9.jpg; Area = 21 in.
 

 8 

Multiply.
mc008-1.jpg
A
mc008-16.jpg
C
mc008-18.jpg
B
mc008-17.jpg
D
mc008-19.jpg
 

 9 

Multiply.
mc009-1.jpg
A
mc009-8.jpg
C
mc009-10.jpg
B
mc009-9.jpg
D
mc009-11.jpg
 

 10 

Multiply.
mc010-1.jpg
A
mc010-9.jpg
C
mc010-11.jpg
B
mc010-10.jpg
D
mc010-12.jpg
 

 11 

A circular pool is surrounded by a circular walkway. The radius of the pool is mc011-1.jpg and the radius of the walkway is mc011-2.jpg. Write a polynomial that represents the area of the walkway.

(Area of a circle is given by mc011-3.jpg, where r represents the radius of the circle.)
A
mc011-9.jpg
C
8
B
mc011-10.jpg
D
mc011-11.jpg
 

 12 

Divide. Simplify your answer.
mc012-1.jpg
A
mc012-7.jpg
C
mc012-9.jpg
B
mc012-8.jpg
D
mc012-10.jpg
 

 13 

Divide.
mc013-1.jpg
A
mc013-5.jpg
C
mc013-7.jpg
B
mc013-6.jpg
D
mc013-8.jpg
 

 14 

Divide.
mc014-1.jpg
A
mc014-5.jpg
C
mc014-7.jpg
B
mc014-6.jpg
D
mc014-8.jpg
 

 15 

Divide.
mc015-1.jpg
A
mc015-5.jpg
C
mc015-7.jpg
B
mc015-6.jpg
D
mc015-8.jpg
 

 16 

Divide.
mc016-1.jpg
A
mc016-5.jpg
C
mc016-7.jpg
B
mc016-6.jpg
D
mc016-8.jpg
 

 17 

Divide by using long division.
mc017-1.jpg
A
mc017-3.jpg
C
mc017-5.jpg
B
mc017-4.jpg
D
mc017-6.jpg
 

 18 

Christina is using her computer to design invitations to her birthday party. The text of the invitation is contained in a rectangle with a length of 9.5 inches and a width of 5 inches. Around the perimeter of the text, Christina wants to have a red border of width r. Around the red border, she wants a purple border of width p. Find an expression for the perimeter of the completed invitation.
A
29 + 8r + 8p
C
14.5 + 4r + 4p
B
19 + 8r + 8p
D
47.5 + 6r + 2p
 

 19 

Multiply.
3d(4g + 6h)
A
12dg + 18dh
C
12(d + g) + 18(d + h)
B
12dg + 6h
D
3dg + 3dh
 

 20 

Multiply.
–3mc020-1.jpg(4mc020-2.jpg + 2mc020-3.jpg)
A
–12mc020-4.jpg – 6mc020-5.jpg
C
–3mc020-8.jpg – 3mc020-9.jpg
B
–12mc020-6.jpg + 2mc020-7.jpg
D
–12mc020-10.jpg – 6mc020-11.jpg
 

 21 

Multiply.
2mc021-1.jpg(3mc021-2.jpg + 7mc021-3.jpg – 2mnp)
A
6mc021-4.jpg + 14mc021-5.jpg – 4mc021-6.jpg
C
6mc021-9.jpg + 14mc021-10.jpg – 4mc021-11.jpg
B
6mc021-7.jpg + 7mc021-8.jpg – 2mnp
D
2mc021-12.jpg + 2mc021-13.jpg + 2mc021-14.jpg
 

 22 

Suppose a rectangular garden has a length of 3c + 15 feet and a width of 4c feet. Write an expression for the area of the garden in square feet.
A
12mc022-1.jpg + 15
C
15mc022-2.jpg + 56c
B
12c + 60
D
12mc022-3.jpg + 60c
 

 23 

Multiply.
(h + 7)(h – 3)
A
h2 + 7h – 3
C
2h + 4
B
h2 + 4h + 7
D
h2 + 4h – 21
 

 24 

Multiply.
(r – 8)2
A
r2 – 8r + 64
C
2r – 16
B
r2 – 16r – 64
D
r2 – 16r + 64
 

 25 

Multiply.
(d + g)2
A
d2 + d + g + g2
C
d2 + g2
B
d2 + 2dg + g2
D
2d + 2g
 

 26 

Multiply.
(c + 5)(c – 5)
A
c2 – 10c – 25
C
c2 – 25
B
c2 + 10c + 25
D
2c2 – 25c
 

 27 

Multiply.
mc027-1.jpg
A
mc027-5.jpg
C
mc027-7.jpg
B
mc027-6.jpg
D
mc027-8.jpg
 



 
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