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1.
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Determine the average rate of change for the function 
between the  and  .
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Find the sum or difference. Write the answer in simplest form.
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2.
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3.
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Find the quotient. Write the answer in simplest form.
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4.
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Factor the polynomial completely.
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5.
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6.
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Find the difference.
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7.
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8.
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The graph of a function is sketched below.  Determine the interval on which the function is decreasing.
a. |  | b. | [–3,
–1] | c. | [1, 3] | d. | [–1,
–1] | e. |  |
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9.
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Determine the interval on which the function in the graph below is
decreasing. 
a. | [6, 10] | b. | [–7,
–3] | c. | [–2, 7] | d. | [–3, 6] | e. | [4,
–1] |
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10.
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An arch can be modeled by  , where x and
y are measured in meters. The x-axis represents the ground. Find the width (in meters)
of the arch at ground level. 
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Solve the equation.
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11.
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12.
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13.
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14.
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15.
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a. | x = 0 | c. | x =
–3 | b. | x = 6.7 | d. | x = 3 |
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Find the zeros of the function.
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16.
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a. | –12, 20 | c. | –1, 2, 10 | b. | 2, 10 | d. | –10, –2
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17.
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a. | 2, 6 | c. | –6, –2 | b. | 12 | d. | 2,
6 |
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Factor the polynomial completely.
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18.
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19.
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Find the sum or difference. Write the answer in simplest form.
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20.
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21.
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Solve the equation.
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22.
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23.
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24.
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a. | d = , d =  | c. | d = –2, d = –4 | b. | d = , d =  | d. | d = , d =  |
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Find the sum.
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25.
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26.
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The graph of  is shown. Use the graph to identify the
factors of  . 
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27.
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What is the average rate of change of the function f (x) =
x + x 2 between x = 0 and x = 5?
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28.
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What is the average rate of change of the function f (x) = 9
– 5x between x = 1 and x = 2?
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Find the product.
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29.
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30.
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31.
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32.
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Which equation has a solution of  ?
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33.
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Which statements are true about the function  ?
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34.
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Which expression is different?
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35.
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A man is running around a circular track 200 m in circumference. An observer
uses a stopwatch to time each lap, obtaining the data in the table as follows: Time (s) | Distance (m) | 30 | 200 | 68 | 400 | 114 | 600 | 168 | 800 | 230 | 1000 | 300 | 1200 | 378 | 1400 | | |
What was the man's average speed (rate)
between 68 s and 168 s?
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Simplify each expression.
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36.
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Find the value of each expression.
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37.
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38.
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39.
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Which expression is different?
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40.
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The graph of a function is sketched as follows: 
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41.
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The graph shows the depth of water W in a reservoir over a one-year
period, as a function of the number of days x since the beginning of the year. What was the
average rate of change in W between x = 100 and x = 200? 
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Find the product.
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42.
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Find the product. Write the answer in simplest form.
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43.
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Use the Distributive Property to write each expression as an equivalent
expression. Then evaluate it.
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44.
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Solve each equation.
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45.
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Choose the quadratic function in standard form whose graph satisfies the
given condition(s).
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46.
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x-intercepts: –1 and –5
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