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1.
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Sketch the graph of the equation  .
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2.
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The length of a rectangle is 8 cm more than four times the width. If the
perimeter of the rectangle is 46 cm, what are the dimensions?
a. | width = 3 cm, length = 40 cm | c. | width = 6 cm, length = 32
cm | b. | width = 6 cm, length = 40 cm | d. | width = 3 cm, length = 20
cm |
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Divide:
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3.
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4.
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Use substitution to solve the linear system. 
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Tell whether the expression is a polynomial. Write Yes or No.
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5.
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6.
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Find the product.
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7.
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8.
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9.
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17x(3x – 5)
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10.
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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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16.
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17.
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18.
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19.
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20.
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A rocket is launched from atop a 75 foot cliff with an initial vertical velocity
of 107 feet per second. The height of the rocket t seconds after launch is given by the
equation  . Graph the equation to find out how long
after the rocket is launched it will hit the ground. Estimate your answer to the nearest tenth of a
second. a. | 7.3 seconds | b. | 4.0 seconds | c. | 9.0 seconds | d. | 0.6
seconds |
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Factor the trinomial.
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21.
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22.
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23.
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24.
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Simplify:
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25.
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26.
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Find the sum.
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27.
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28.
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A rectangular garden, with length four times its width, is to be expanded so
that both sides are increased by 3 yards.  Let x represent
the original width of the garden. Write an expression that models the area of the expanded
garden.
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Complete the table of values for the given function. Then graph the
function.
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29.
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30.
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Divide  by  .
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31.
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Rewrite using only positive exponents: 
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Simplify:
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32.
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33.
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34.
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35.
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36.
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37.
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38.
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Solve the system:
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39.
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a. | ( , 1) | b. | no solution | c. | (1,
–3) | d. | (4,  ) |
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40.
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41.
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42.
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43.
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Use a vertical format to find the product  .
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44.
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Simplify 
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45.
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How would you translate the graph of  to produce the graph of
 a. | translate the graph of  right 4 units | b. | translate the graph
of  down 4 units | c. | translate the graph
of  left 4 units | d. | translate the graph
of  up 4 units |
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Simplify the expression using positive exponents.
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46.
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47.
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48.
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Simplify  .
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49.
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You can work a total of no more than 36 hours per week at your two jobs.
Housecleaning pays $5 per hour, and your sales job pays $11 per hour. You need to earn at least $266
per week to cover your expenses. Write a system of inequalities that shows the various numbers of
hours you can work at each job.
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50.
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A rocket leaves the barrel of a launcher at a height of 5 feet off the floor,
with an initial velocity of 160 feet per second. The equation describing the rocket's height
after t seconds is  The graph below shows the rocket's height
as a function of time.  What is the maximum height reached by the
rocket and how many seconds did it take for the rocket to reach that height? Estimate the height
value to the nearest 25 feet and the time value to the nearest tenth of a second.
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Use the quadratic formula to solve the equation. Round your solution to the
nearest hundredth, if necessary.
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51.
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52.
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53.
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54.
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Find the difference.
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55.
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56.
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Use the discriminant to determine the number of real solutions of the
equation.
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57.
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58.
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Tell whether the function has a minimum value or a maximum
value. Then find the minimum or maximum value.
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59.
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60.
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Simplify. Write your answer using exponents.
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61.
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62.
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63.
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64.
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65.
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Use a vertical format to find the product  .
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66.
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Graph the parabola: 
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67.
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A rental car agency charges $15 per day plus 11 cents per mile to rent a certain
car. Another agency charges $18 per day plus 8 cents per mile to rent the same car. How many miles
will have to be driven for the cost of a car from the first agency to equal the cost of a car from
the second agency? Express the problems as a system of linear equations and solve using the method of
your choice.
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68.
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Graph the solution set of the system of inequalities: 
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69.
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Sketch the graph of the equation 
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Graph:
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70.
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71.
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Find the sum  + 
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72.
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The mass of a boulder is about 106 grams. The mass of a pebble is
about 10 grams. The mass of the boulder is about how many times the mass of the pebble?
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73.
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Marc sold 461 tickets for the school play. Student tickets cost $3 and adult
tickets cost $4. Marc's sales totaled $1624. How many adult tickets and how many student tickets
did Marc sell?
a. | 241 adult, 220 student | c. | 225 adult, 236 student | b. | 220 adult, 241
student | d. | 236 adult, 225
student |
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74.
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The number of new cars purchased in a city can be modeled by the equation  where C is the number of new cars and t is the number of years since 1958.
In what year will the number of new cars reach 15,000?
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75.
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A chemistry teacher needs 2.5 liters of a sulfuric acid solution that is 20%
sulfuric acid and 80% water. He has 2 liters of a 15% sulfuric acid solution left over from earlier
laboratory exercises. He also has 4 liters of a 50% solution. Let x represent the number of
liters of the 15% solution that can be mixed with y liters of the 50% solution to make 2.5
liters of the needed 20% solution. Write a system of equations that could be solved to find the
amounts of the 15% and 50% solutions that could be mixed to get the required solution.
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76.
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A group of 52 people attend a ball game. There were three times as many children
as adults in the group. Write a system of equations that you could use to solve this problem, where
a is the number of adults and c is the number of children in the group.
Solve the
system of equations for c, the number of children in the group.
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Simplify:
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77.
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78.
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79.
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Suppose a particle has a mass of  kilogram. What would the
mass of 10 9 of these particles be?
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80.
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If one micrometer is  meter, how many micrometers
are in 10 3 meters?
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81.
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The owner of a restaurant determines she can spend no more than $1600 to buy
coffee for the next month. At wholesale prices, the regular coffee she uses costs $4.50 per pound and
the decaffeinated coffee costs $6.00 per pound. The owner estimates she will need at least 60 pounds
of coffee for the month. Which graph represents the possible combinations of the number of pounds of
regular coffee, x, and the number of pounds of decaffeinated coffee, y, that meet these
conditions?
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82.
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Find the coordinates of the vertex and determine whether the graph opens
up or down. 
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83.
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If the perimeter of the figure below is 20 feet, what is the area of the
figure? a. | 18 ft2 | c. | 123 ft2 | b. | 9 ft2 | d. | 120
ft2 |
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84.
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A board of length  cm was cut into two pieces. If one piece
is  cm, express the length of the other
board as a rational expression.
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85.
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Divide  by  .
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Find the excluded values, if any, of the expression.
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86.
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Solve the quadratic equation.
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87.
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88.
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When does the equation  have no solutions? a. | when d < 0 | b. | never | c. | always | d. | when d >
0 |
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Use the quadratic formula to solve the equation.
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89.
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90.
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Use the FOIL pattern to find the product (x – 3)(3x +
5).
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Find the quotient.
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91.
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 ¸ 
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92.
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Use elimination to solve the linear system.  
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Solve by elimination:
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93.
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94.
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a. | (5, –1) | b. | (0,  ) | c. | (10,  ) | d. | no solution |
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Find the sum.
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95.
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96.
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97.
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Solve the equation and check your answer.
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98.
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99.
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Find the difference.
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100.
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101.
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102.
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103.
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A rectangle has length  and width  .
Write an equation that represents the area, A, of the rectangle in terms of x.
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104.
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Simplify the expression 
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Solve the equation.
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105.
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106.
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107.
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108.
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109.
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 = 0
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110.
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Simplify the expression 
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111.
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Evaluate  .
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112.
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Rewrite the expression using positive exponents. 
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Determine the number of solutions of the equation.
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113.
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114.
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Which of the following is equal to 1 when multiplied by  ?
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Use your calculator as needed.
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115.
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Solve the proportion 
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116.
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Solve the proportion 
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117.
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Find the degree of the polynomial  .
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118.
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Write  ×  using positive exponents.
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119.
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Which expression is a polynomial?
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120.
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Write a system of linear inequalities that defines the shaded region. 
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121.
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How would the graph of the function  be affected if the function
were changed to  ?
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122.
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Find the sum  + 
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123.
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A salesman at a new car dealership gets paid a fixed commission above his base
salary for any passenger car he sells and a different fixed commission for any sport utility vehicle
he sells. In August, he sold 5 passenger cars and 5 sport utility vehicles and earned more than $2500
above his base salary. In September, he sold 8 passenger cars and 3 sport utility vehicles and earned
less than $3000 above his base salary. This information can be represented by the following
inequalities and their graph, where p represents the number of passenger cars sold and
s represents the number of sport utility vehicles sold.   Which region of the graph represents the possible commissions paid to the salesman
for the two types of vehicles?
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124.
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Sketch a graph of  . Include any vertical or horizontal
asymptotes.
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125.
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Classify the expression  and state its
degree. a. | binomial, 10 | c. | trinomial, 10 | b. | binomial, 9 | d. | trinomial, 9 |
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126.
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The production rate of a small factory is modeled by  , while the
production rate of another factory is modeled by  . Which is a model for the
combined production rate of the two factories?
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127.
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Solve the system by adding or subtracting. 
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128.
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The table below shows the costs of two different combinations of hot dogs and
sodas at a ballgame. What is the cost h of one hot dog and the cost s of one
soda? Number of hot dogs | Number of sodas | Total Cost | 4 | 4 | $20 | 4 | 6 | $24 | | | |
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129.
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How would the graph of the function  be affected if the function
were changed to  ?
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130.
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Write a variable expression for the area of the shape shown, which is made with
 . 
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131.
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Which expression is equivalent to 
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Solve the equation:
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132.
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133.
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134.
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135.
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Write the polynomial so that the exponents decrease from left to right. 
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Divide:
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136.
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137.
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a. |  remainder -11 | c. |  remainder
11 | b. |  remainder 49 | d. |  remainder
-1 |
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138.
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Graph the solution set of the system of inequalities: 
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Find the zeros of the function.
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139.
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140.
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A rectangle has a length of  and a width of  . Write an equation that describes the area, A, of the rectangle in terms of
x.
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141.
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Graph  . Give the vertex and the line of
symmetry. 
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142.
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The volume of a cylinder is given by the formula  where
r is the radius of the base of the cylinder and h is the height of the cylinder. If the
radius of the cylinder is increased by 1 unit and the height remains the same, the ratio for the
volume of the new cylinder to the volume of the original cylinder is 4:1. Find the length of the
radius of the original cylinder. a. | 1 unit | c. | 3 units | b. | 2 units | d. | 4 units |
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143.
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Tell whether the equation has two solutions, one solution, or
no solution.  a. | two solutions | c. | not enough information | b. | one
solution | d. | no
solutions |
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Divide:
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144.
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145.
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146.
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Solve the system of inequalities graphically:
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147.
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Find the product.
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148.
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149.
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150.
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151.
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a. | 12y | c. |  y2 | b. |  | d. | y |
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152.
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Solve the system using the addition method: 
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153.
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Graph the system of linear inequalities.
y ³ –2x +3
y £
–3
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Solve the equation by graphing.
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154.
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155.
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Evaluate the expression  .
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156.
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Find the difference 
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157.
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Simplify the expression 
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158.
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Solve the system by substitution: 
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Graph:
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159.
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An object is dropped from an initial height of s feet. The
object's height at any time t, in seconds, is given by  .
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160.
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How long does it take for an object dropped from 200 feet to hit the ground?
Round your result to two decimal places.
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161.
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Predict how the graph of the equation  will compare with the graph
of the equation 
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Which ordered pair is a solution to the system of equations?
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162.
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163.
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The Modern Grocery has cashews that sell for $4.00 a pound and peanuts that sell
for $2.50 a pound. How much of each must Albert, the grocer, mix to get 60 pounds of mixture that he
can sell for $3.00 per pound? Express the problem as a system of linear equations and solve using the
method of your choice.
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164.
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Simplify  . State the excluded values.
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165.
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Graph  .
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Graph the function.
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166.
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167.
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Simplify the expression.
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168.
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169.
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170.
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How would you change the graph of  to produce the graph of
 ? a. | shift the graph of  right 5 units | b. | shift the graph of
 up 5 units | c. | shift the graph of
 left 5 units | d. | shift the graph of
 down 5 units |
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171.
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Mr. Jarvis invested a total of $9,112 in two savings accounts. One account earns
7.5% simple interest per year and the other earns 8.5% simple interest per year. Last year, the two
investments earned a total of $884.88 in interest. Write a system of equations that could be used to
determine the amount Mr. Jarvis initially invested in each account. Let x represent the amount
invested at 7.5% and let y represent the amount invested at 8.5%.
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172.
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A college student decides that school work limits him to a total of no more than
32 hours per week at his two part-time jobs. He earns $10 per hour hanging wall paper and he has a
sales job that pays $6 per hour. He needs to earn at least $269 per week to cover his expenses. Write
a system of inequalities that shows the various numbers of hours he can work at each job. Let
h represent the number of hours spent hanging wall paper and let s represent the number
of hours spent working at the sales job.
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173.
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A total of $10,000 is invested in two funds paying 5% and 7% annual interest.
The combined annual interest is $630. How much of the $10,000 is invested in each fund?
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174.
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Sketch the graph of the equation 
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175.
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It costs $9 to buy 3 containers of orange juice and 2 containers of milk. To buy
9 containers of orange juice and 6 containers of milk, it costs $27. Find the cost of one container
of orange juice.
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176.
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Find the sum  + 
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177.
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Which expression is NOT a polynomial?
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Write an equation that can be used to solve the problem. Solve the equation
and answer the question.
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178.
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A sight-seeing boat travels at an average speed of 19 miles per hour in the
calm water of a large lake. The same boat is used for sight-seeing in a nearby river. In the river,
the boat travels 2.9 miles downstream (with the current) in the same amount of time it takes to
travel 1.6 miles upstream (against the current). Find the current of the river.
a. |  ; about 5.49 mi/h | c. |  ;
about 5.49 mi/h | b. |  ; about 4.9 mi/h | d. |  ; about 4.9
mi/h |
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179.
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During the years 1992 through 1996, the average number of green grapes,
g, sold at a farmer's market can be modeled by g = –0.14 
+ 1.4 t + 46.62. The average number of red grapes, r, sold by the farmer's market
can be modeled by  . Determine the model representing the
total number of grapes, n, sold from 1992 through 1996.
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180.
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Rewrite the expression using positive exponents. 
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Graph the function. Compare the graph with the graph of  .
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181.
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182.
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Solve the linear system by any method. 
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183.
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A square bird sanctuary has sides that are  long. Write
expressions for its perimeter and area.
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Simplify. Leave your answer in exponential form.
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184.
|
 ´ 
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185.
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How would the graph of the function  be affected if the function
were changed to  ?
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186.
|
Use elimination to solve the linear system. 
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187.
|
Solve the equation 
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188.
|
Find the coordinates of the vertex and determine whether the graph opens
up or down. 
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189.
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How would you shift the graph of  to produce the graph of
 ?
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Describe how the graph of the function compares to the graph of
y
= x2.
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190.
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191.
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Solve by substitution:  a. |  | b. | (–1,  ) | c. |  | d. | no
solution |
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192.
|
Predict how the graph of the equation  will compare with the graph
of the equation  a. | The graph of  will open up because the coefficient is
positive. The graph will be wider because 7 is greater than 1. | b. | The graph of  will open down because coefficient is positive. The graph will be narrower because 7 is
greater than 1. | c. | The graph of  will open up because the coefficient is
positive. The graph will be narrower because 7 is greater than 1. | d. | The graph of  will open down because coefficient is positive. The graph will be wider because 7 is
greater than 1. |
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193.
|
Describe the most efficient method to solve the quadratic equation:  a. | The square root method | b. |  
| c. | Factoring and the zero-product principle | d. | The quadratic
formula |
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Solve the equation.
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194.
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195.
|
The equation  gives the height h, in feet, of a
football as a function of time t, in seconds, after it is kicked. How long does it take for
the football to hit the ground?
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196.
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Write a variable expression for the area of the rectangle. 
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