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. | term | b. | equation | d. | trinomial |
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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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How many terms are there in the polynomial  ?
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5.
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What is the degree of the term  ?
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6.
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The degree of the term  is
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7.
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The degree of the polynomial  is
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8.
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The model shown below can be represented by the polynomial 
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9.
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In the expression  , the 2 is a(n) a. | coefficient | c. | term | b. | exponent | d. | variable |
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10.
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Simplify the following expression by grouping like terms. 
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The school band has decided to sell coupon books to raise money. The cost of the
coupon book is the square of the profit, p, from the sale of the book. The sale price of the
book is 4 times the profit, p, from the sale of a coupon book. Use this information to answer
the following question(s).
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11.
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The term or polynomial that best shows the sale price of a coupon book would
be
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12.
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The term or polynomial that best shows the profit from selling a coupon book
would be
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Answer the following question(s) using the information from the scenario
below.
Renting a mountain bike requires a monthly rental fee, m, and a security
deposit of 4 months’ rent. Renting a street bike also requires a monthly rental fee, s,
and a security deposit of 3 months’ rent. The monthly rental fees for the two types of bikes
are not the same.
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13.
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The term or expression that best represents the first month’s rental of a
street bike would be
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14.
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Add the following polynomials. 
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15.
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Subtract the following polynomials and combine like terms. 
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16.
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Determine the product of  .
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17.
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Determine the simplified form of the expression  .
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18.
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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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19.
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Which multiplication statement is represented by the algebra tiles
below? 
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20.
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Determine which set of algebra tiles represents the multiplication statement
 .
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21.
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Which set of algebra tiles represents the multiplication statement  ?
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22.
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Determine the value of the expression  .
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23.
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Two identical speakers are shown below. Determine an expression for the total
surface area of each speaker. 
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24.
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A rectangular tank has the dimensions shown in metres. What is the height of the
tank? 
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25.
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A rectangular tank has the dimensions shown below. Determine the height of the
tank.  a. | 3x | c. | 3x + 1 | b. | 3x2 | d. | 3x2 +
1 |
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26.
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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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27.
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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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28.
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From the list, which terms are like -7x2?
7x2, 7x,
6x2, -7, -5, -7x, -3x2
a. | 7x2, 7x, -7, -7x | c. | 7x2, 7x, -7x | b. | 7x2 | d. | 7x2, 6x2,
-3x2 |
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29.
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Combine like terms. Sketch algebra tiles if it helps. 
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30.
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Simplify: 
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31.
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Write the perimeter of this triangle as a polynomial in simplest form. 
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32.
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Add: 
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33.
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Add: 
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34.
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Subtract: 
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35.
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Divide: 
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36.
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Multiply: 
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Short Answer
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37.
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Which of the following expressions are polynomials?
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38.
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Identify the degree of each polynomial.
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39.
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Add: 
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40.
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Divide: 
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Problem
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41.
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a) Write the
multiplication sentence modelled by this rectangle. b) Determine the
area of the rectangle when x = 12. Show your
work. 
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42.
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a) Write a
polynomial to represent the area of rectangle A.
b) Write a
polynomial to represent the area of rectangle B.
c) Write a
polynomial to represent the total area of rectangle A and rectangle B.
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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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44.
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A field is  m wide. It is 6 m longer than twice the width. a)
What is an expression for the area of the field? b) If x = 7, what is the area of
the field? c) Use another method to answer b).
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45.
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The volume of a speaker is  m 3. The width of the speaker
is 2 x m and the depth is 6 x m. What is the height of the speaker? 
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