Multiple Choice
Identify the
choice that best completes the statement or answers the question.
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1.
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The term  represents the a. | difference between 4 and  | c. | quotient of 4 and  | b. | product of 4 and  | d. | sum of 4 and  |
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2.
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The expression  can be described as a(n) a. | binomial | c. | polynomial | b. | equation | d. | term |
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3.
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How many terms are there in the polynomial  ?
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4.
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Identify the like terms in the following list of terms.  ,  ,
 ,  , 
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5.
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When the following model is simplified, it produces the expression 
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6.
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The opposite expression for  is
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7.
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What is the opposite expression for  ?
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8.
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The opposite expression for  is
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9.
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Simplify  . The answer is
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10.
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Subtract the following polynomials and combine like terms. 
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11.
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Subtract the following polynomials. 
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12.
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Simplify by combining like terms. 
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13.
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Determine the product of  .
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14.
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A rectangle has an area of  m 2 and a length of 3 x
m. What is the width of the rectangle?
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15.
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If the volume of the rectangular prism below is  cubic units, what is the
missing dimension? 
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16.
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Which multiplication statement is represented by the algebra tiles
below? 
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17.
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Which set of algebra tiles represents the multiplication statement  ?
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18.
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Which set of algebra tiles represents the multiplication statement  ?
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19.
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Which multiplication statement is represented by the algebra tiles
below? 
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20.
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The distance, in metres, travelled by a train, t seconds after the brakes
are applied, is given by the expression  . What is the expanded form of this expression?
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21.
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Which of the following expressions are polynomials? a. | i, iii, and iv | b. | ii and iv | c. | i, ii, and iii | d. | i, ii, and
iv |
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22.
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Identify the polynomials that can be represented by the same set of algebra
tiles. a. | iii and iv | b. | i and iv | c. | ii and iv | d. | i and
ii |
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23.
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From the list, which terms are like 5x?
5x2,
4x, 3, -8x, -5x,
9x2, 5
a. | -5x | c. | 4x, -8x, -5x | b. | 5x2, 5 | d. | 5x2, -5x, -5x2 |
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24.
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Simplify: 
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25.
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Add: 
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26.
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Add: 
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27.
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Write the perimeter of this rectangle as a polynomial in simplest form. 
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28.
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Subtract: 
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29.
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Multiply: 
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30.
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Multiply: 
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31.
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Multiply: 
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32.
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Determine the area of this rectangle. 
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33.
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Which of these multiplication sentences is modelled by the rectangle
below?
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34.
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Divide: 
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Short Answer
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35.
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Which of the following expressions are polynomials?
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36.
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Subtract: 
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37.
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Replace the question mark with an algebra tile model to make a true
statement. 
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38.
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Create a model to represent the answer to the following subtraction. 
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Problem
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39.
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Write as many polynomials as you can that are equivalent to  . How do
you know you have written all possible polynomials?
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40.
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Which expressions are equivalent? Explain how you know.
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41.
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Write an expression to represent this model. What is the opposite
expression? 
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42.
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a) Create a model to represent the addition and subtraction of the
following polynomials.  b) Simplify the model.
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43.
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An open, cube-shaped box has a volume of  cm 3. Find the
total surface area of the box.
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