Multiple Choice
Identify the
choice that best completes the statement or answers the question.
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1.
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Determine the greatest common factor of 56 and 88.
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2.
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Determine the greatest common factor of 280 and 360.
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3.
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Determine the least common multiple of 10 and 22.
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4.
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Determine the least common multiple of 48, 72, and 108.
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5.
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There are 16 male students and 20 female students in a Grade 10 math class. The
teacher wants to divide the class into groups with the same number of males and the same number of
females in each group. What is the greatest number of groups the teacher can make?
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6.
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A fruit grower wants to plant 64 apple seedlings and 108 pear seedlings in rows.
Each row is to have the same number of each type of seedling. What is the greatest number of rows the
grower can plant?
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7.
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Factor the trinomial  .
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8.
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Factor the trinomial  .
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9.
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Expand and simplify: 
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10.
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Factor: 
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11.
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Factor: 
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12.
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Complete. 
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13.
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Factor: 
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14.
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Which multiplication sentence does this set of algebra tiles represent? 
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15.
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Factor: 
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16.
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Factor: 
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17.
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Factor: 
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18.
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Factor: 
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19.
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Find an integer to replace “ so that this
trinomial is a perfect square. 
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20.
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Determine the area of the shaded region in factored form. 
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Short Answer
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21.
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Bill and Betty do chores at home. Bill mows the lawn every 8 days, and Betty
bathes the dog every 14 days. Suppose Bill and Betty do their chores today. How many days will pass
before they both do their chores on the same day again?
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22.
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Factor the binomial  .
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23.
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Identify the greatest common factor of the terms in this set. 
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24.
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Expand and simplify: 
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25.
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Factor: 
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Problem
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26.
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A math textbook has 6 chapters of equal length. The textbook is made by
stitching together 40-page booklets. Determine the fewest number of pages the book can have.
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27.
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Factor this trinomial. Verify that the factors are correct. 
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28.
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This composite object is formed by a cone with a hemisphere on top. A formula
for the volume of this object is:   a)
Factor this formula. b) Use both
forms of the formula to calculate the volume of this composite object with radius 4 cm and height 10
cm.
c) Which formula to do you prefer to use? Why?
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29.
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Factor. Check by expanding. 
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30.
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Use decomposition to factor  . Explain your steps.
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