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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The degree of the polynomial  is
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5.
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Which polynomial is represented by the following model? 
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6.
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In the expression  , the d is a(n) a. | coefficient | c. | term | b. | exponent | d. | variable |
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7.
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Identify the like terms in the following list of terms.  ,  ,
 ,  , 
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8.
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Combine the like terms in  . The answer is
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9.
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Simplify the following expression by grouping like terms. 
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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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10.
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The expression that best represents the difference between the cost to rent a
mountain bike for 6 months and the cost of renting a street bike for the same period would be
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11.
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The opposite expression for  is
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12.
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Simplify  . The answer is
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13.
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Add the following polynomials. 
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14.
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Determine the product of  .
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15.
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Determine the missing dimension of the rectangle below. 
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16.
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What is the volume of this rectangular prism? 
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17.
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Determine the missing dimension of the rectangle. 
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18.
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Determine which set of algebra tiles represents the division statement  .
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19.
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Which set of algebra tiles represents the division statement  ?
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20.
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Determine which set of algebra tiles represents the division statement  .
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21.
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Which multiplication statement is represented by the algebra tiles
below? 
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22.
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An Internet service provider has projected the number of customers to be  ,
where m is the number of months after the business begins. What is the expanded form of this
expression?
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23.
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What division expression do the algebra tiles represent? 
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24.
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What is the unknown dimension of the rectangle shown below? 
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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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Combine like terms. Sketch algebra tiles if it helps.
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27.
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Simplify: 
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28.
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Add: 
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29.
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Add: 
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30.
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Add: 
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31.
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Subtract: 
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32.
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The perimeter of this isosceles triangle is represented by the polynomial  .
Write a simplified polynomial for the length of the unknown side. 
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33.
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Divide: 
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34.
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Determine the area of this rectangle. 
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35.
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Which of these multiplication sentences is modelled by the rectangle
below?
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36.
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Divide: 
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37.
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Divide: 
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38.
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Multiply: 
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Short Answer
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39.
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Simplify: 
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40.
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Multiply: 
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41.
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Gail charges a flat rate per hour for babysitting for a family. In addition, she
charges an hourly fee for each child she is looking after. Her flat rate per hour is twice the square
of what she charges per hour for each child. Create an expression and an algebra tile model to show
her hourly rate for babysitting 3 children.
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42.
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A chain of sporting goods stores pays its employees according to the information
in the table below. Position | Number of Positions | Hourly Pay Rate and Weekly
Bonus | Manager | 5 | $25/h plus $100 bonus per week for working at least 30 h | Clerk | 12 | $10/h plus $60 bonus per week for
working at least 30 h | | | |
If all employees work at least a 30-h week and
work the same number of hours, what is the simplified algebraic expression for the payroll for that
week?
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Problem
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43.
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Create a polynomial that is added to  to get  . Explain how you found
your answer.
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44.
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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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45.
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The area of a soccer field can be expressed by the algebraic equation  .  a) If the
length of the soccer field is 4 x metres, what is the width? b) If x = 30,
what are the dimensions and area of the soccer field? c) Calculate the area another
way.
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46.
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Write a simplified expression for the area of the triangle. 
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47.
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A rectangle, twice as long as it is wide, is inscribed in a circle. What is the
ratio of their areas? 
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