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 6 units. 
A | ; Area = 126 in2 | C | ;
Area = 141 in2 | B | ; Area = 126
in2 | D | ; Area = 21 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 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 |
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19
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Multiply. 3d(4g + 6h)
A | 12dg + 18dh | C | 12(d + g) +
18(d + h) | B | 12dg + 6h | D | 3dg +
3dh |
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20
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21
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22
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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 | 12 + 15 | C | 15 +
56c | B | 12c + 60 | D | 12 + 60c |
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23
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Multiply. (h + 7)(h – 3)
A | h2 + 7h – 3 | C | 2h + 4 | B | h2
+ 4h + 7 | D | h2 + 4h – 21 |
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24
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Multiply. (r – 8)2
A | r2 – 8r + 64 | C | 2r –
16 | B | r2 – 16r – 64 | D | r2 – 16r +
64 |
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25
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Multiply. (d + g)2
A | d2 + d + g + g2 | C | d2
+ g2 | B | d2 + 2dg +
g2 | D | 2d + 2g |
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26
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Multiply. (c + 5)(c – 5)
A | c2 – 10c – 25 | C | c2 –
25 | B | c2 + 10c + 25 | D | 2c2 –
25c |
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27
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Multiply. 
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