Multiple Choice
Identify the
choice that best completes the statement or answers the question.
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1
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A company distributes its product by train and by truck. The cost of
distributing by train can be modeled as  , and the cost of distributing by trucks can
be modeled as  , 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.
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2
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The legs of an isosceles triangle measure  units. The
perimeter of the triangle is  units. Write a polynomial that represents the
measure of the base of the triangle.
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3
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Multiply. 
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4
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Multiply. 
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5
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Multiply. 
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6
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Multiply. 
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7
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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  inches. Write a polynomial to describe the
area of a stone. Then find the area of a stone that has a length of 10 units.  A |  ; Area = 298 in2 | C |  ;
Area = 280 in2 | B |  ; Area = 280
in2 | D |  ; Area = 28 in. |
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8
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Multiply. 
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9
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Multiply. 
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10
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Multiply. 
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11
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A circular pool is surrounded by a circular walkway. The radius of the pool is
 and the radius of the walkway is  . Write a polynomial that represents the area of the walkway. (Area of a circle is
given by  , where r represents the radius of the
circle.)
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12
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Divide. Simplify your answer. 
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13
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Divide. 
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14
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Divide. 
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15
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Divide. 
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16
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Divide. 
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17
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Divide by using long division. 
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18
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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 6.5 inches and a width of 4
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 | 10.5 + 4r + 4p | C | 21 + 8r +
8p | B | 13 + 8r + 8p | D | 26 + 6r + 2p |
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19
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Multiply.
5a(5b + 5c)
A | 25ab + 25ac | C | 5ab +
5ac | B | 25ab + 5c | D | 25(a + b) + 25(a + c) |
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20
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21
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Multiply.
5  (–4 
+ 4  – 5 mnp)
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22
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Suppose a rectangular garden has a length of 2x + 8 feet and a width of
3x feet. Write an expression for the area of the garden in square feet.
A | 6x + 24 | C | 6 + 8 | B | 8
+ 21x | D | 6 + 24x |
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23
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Multiply.
(p + 4)(p – 5)
A | p2 + 4p – 5 | C | p2 –
p + 4 | B | p2 – p – 20 | D | 2p –
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24
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Multiply.
(w – 6)2
A | w2 – 12w + 36 | C | 2w –
12 | B | w2 – 12w – 36 | D | w2 – 6w +
36 |
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25
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Multiply.
(w + x)2
A | w2 + 2wx + x2 | C | w2
+ w + x + x2 | B | 2w + 2x | D | w2 +
x2 |
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26
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Multiply.
(w + 5)(w – 5)
A | w2 + 10w + 25 | C | w2 –
10w – 25 | B | 2w2 –
25w | D | w2 – 25 |
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27
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Multiply. 
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