         Algebra 1 EOC FSA Mathematics Reference Sheet

Customary Conversions
1   foot = 12 inches
1   yard = 3 feet
1   mile = 5,280 feet
1   mile = 1,760 yards

1   cup = 8 fluid ounces
1   pint = 2 cups
1   quart = 2 pints
1   gallon = 4 quarts

1 pound = 16 ounces
1 ton = 2,000 pounds

Metric Conversions
1 meter = 100 centimeters
1 meter = 1000 millimeters
1 kilometer = 1000 meters

1 liter = 1000 milliliters

1 gram = 1000 milligrams
1 kilogram = 1000 grams

Time Conversions
1   minute = 60 seconds
1   hour = 60 minutes
1   day = 24 hours
1   year = 365 days
1   year = 52 weeks




Page 5


Session 1                                   FSA Mathematics Practice Test Questions

Use the space in this booklet to do your work. For multiple-choice
items, fill in one bubble for the correct answer. For editing task
choice items, matching items, and multiselect items, fill in the
bubbles for all of the correct answers. For items with response grids,
refer to the Directions for Completing the Response Grids on pages
3 and 4. If you change your answer, be sure to erase completely.
Calculators are NOT permitted for Session 1 of this practice test.

                                                    1
1. Jeremy determines that                   9   9 . Part of his work is shown.
                                                    2



                                                            1   1       1
                                                    1       2   2       2
                                        9   3   3       3           9

    Which expression or equation should be placed in the blank to correctly
    complete Jeremy’s work?


             1
         2
    A    3
         1           1

    B 32         32
         1       1              1
    C 3 32 •     2
                         3 •3   2


         1       1              1   1
    D 3 32 •     2
                         3 3
                          •
                                2   2


15012




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   FSA Mathematics Practice Test Questions                          Session 1
2. A bird drops a stick from the top of Miami Tower. The height of the stick
                                                2
   after x seconds is given by f (x) = 625 – 16x . 1010

        Select all the correct interpretations of the coordinates of the point at the
        maximum of the function f (x).


        A the time it takes the stick to hit the ground
        B the time when the stick is at its highest point
        C the height of the stick when it is dropped from Miami Tower
        D the time when the stick is dropped from the top of Miami Tower
        E the distance of the stick from Miami Tower when it hits the ground
14706




3. Some of the steps in Raya’s solution to 2.5 (6.25x + 0.5) = 11 are shown.

                   Statement                           Reason
             1. 2.5 (6.25x + 0.5) = 11 1. Given
             2.                         2.
             3.                         3. Subtraction property of equality
             4. x = 0.624               4. ?


        Select the correct reason for line 4 of Raya’s solution.


        A Closure property
        B Distributive property
        C Addition property of equality
        D Division property of equality
        E Symmetric property of equality       14592




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Session 1                         FSA Mathematics Practice Test Questions

4. Cora is using successive approximations to estimate a positive solution to
                                 2
   f (x) = g (x), where f (x) = x + 13 and g (x) = 3x + 14. The table shows
   her results for different input values of x.

                                   x     f (x)   g (x)
                                  0     13       14
                                  1     14       17
                                  2     17       20
                                  3     22       23
                                  4     29       26
                                  3.5   25.25    24.5

        Use Cora’s process to find the positive solution, to the nearest tenth, of
        f (x) = g (x).




        -------
         `````
        aaaaaaa
        0000000
        1111111
        2222222
        3333333
        4444444
        5555555
        6666666
        7777777
        8888888
        9999999

14595




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  FSA Mathematics Practice Test Questions                       Session 1
                Px    Qy    R
5. The system                 has the solution (3, –1), where F, G, H, P, Q,
                Fx    Gy    H
    and R are nonzero real numbers.

    Select all the systems that are also guaranteed to have the solution (3, –1).


    A (P + F)x + (Q + G)y = R + H
        Fx + Gy = H

    B (P + F)x + Qy = R + H
        Fx + (G + Q)y = H

    C Px + Qy = R
        (3P + F)x + (3Q + G)y = 3H + R

    D Px + Qy = R
        (F – 2P)x + (G – 2Q)y = H – 2R

    E Px + Qy = R
        5Fx + 5Gy = 5H
14581




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Session 1                       FSA Mathematics Practice Test Questions

6. The production cost, C, in thousands of dollars, for a toy company to
   manufacture a ball is given by the model C(x) = 75 + 21x – 0.72x2, where
   x is the number of balls produced in one day, in thousands. The company
   wants to keep its production cost at or below $125,000. The graph shown
   models the situation.

                           C


                               (14.58, 228.13)


                                                 (26.55, 125)

                               (2.62, 125)                  C = 125
                 (0, 75)




                                                                      x
          (–3.2, 0)                                     (32.38, 0)


    What is a reasonable constraint for the model?


    A –3.2 ≤ x ≤ 32.38
    B 2.62 ≤ x ≤ 26.55
    C –3.2 ≤ x ≤ 2.62 and 26.55 ≤ x ≤ 32.38
    D 0 ≤ x ≤ 2.62 and 26.55 ≤ x ≤ 32.38
14582




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   FSA Mathematics Practice Test Questions            Session 1
7. A system of equations is shown.

                                       5x + 2y = 24

                                        5y = x + 6

        What is the solution to the system?



        x=                        y=
             -------                   -------
              `````                     `````
             aaaaaaa                   aaaaaaa
             0000000                   0000000
             1111111                   1111111
             2222222                   2222222
             3333333                   3333333
             4444444                   4444444
             5555555                   5555555
             6666666                   6666666
             7777777                   7777777
             8888888                   8888888
             9999999                   9999999
15236




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Session 1   FSA Mathematics Practice Test Questions




  This is the end of Session 1.




Page 14


Session 2                        FSA Mathematics Practice Test Questions

Use the space in this booklet to do your work. For multiple-choice
items, fill in one bubble for the correct answer. For matching items
and multiselect items, fill in the bubbles for all of the correct
answers. For items with response grids, refer to the Directions for
Completing the Response Grids on pages 3 and 4. If you change your
answer, be sure to erase completely. Scientific calculators may be
used for Session 2 of this practice test.

8. Sue removes the plug from a trough to drain the water inside. The
   volume, in gallons, in the trough after it has been unplugged can be
   modeled by 4t2 – 32t + 63, where t is time, in minutes.

        A. Select the correct property that will give Sue the amount of time it
           takes the trough to drain.

           A minimum
           B maximum
           C y-intercept
           D zero


        B. Select the expression that will reveal the property.

           A 4(0)2 – 32(0) + 63
           B (2t – 7) (2t – 9)
           C 4(t – 4)2 – 1
           D 4(t – 8)2 + 47
14715




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   FSA Mathematics Practice Test Questions                           Session 2
9. Florida has 67 counties, and Texas has 254 counties.

         •   The mean population for the state of Florida by county is 291,834
             with a standard deviation of 467,012.03, and the median is 107,056.
         •   The mean population for the state of Texas by county is 104,127 with
             a standard deviation of 374,012.2261, and the median is 18,293.

        Some of the data for both states are shown.

                         Florida                          Texas
                 County        Population         County        Population
              Smallest               8,349     Smallest                95
              First quartile        27,013     First quartile       7,057
              Median               107,056     Median              18,293
              Third quartile       337,362     Third quartile      49,426
              Largest          2,617,176       Largest           4,336,853


        A business moves its corporate location from Texas to Florida. As a result
        of the move, 8,193 people move from the largest Texas county to the
        smallest Florida county, in terms of population.

        Select all the population statistics that will be affected by this population
        change.

                                   Increases     Decreases      Stays the Same
        Interquartile
        Range of Florida
                                       A              B               C

        Mean of Texas                  D              E               F

        Median of Florida              G              H               I
        Standard
        Deviation of Texas
                                       J              K               L

14712




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Session 2                                   FSA Mathematics Practice Test Questions

10. The graph shows the number of acres, in millions, of farmland in the
    United States from 1975 to 2008.


                                                 U.S. Farmland Area

                       1,080
                       1,060
    Acres (millions)




                       1,040
                       1,020
                       1,000
                         980
                         960
                         940
                         920
                         900
                           0
                                 1975 1980 1985 1990 1995 2000 2005 2010
                                                  Years


     Which statement describes the average rate of change of the graph?


     A The number of acres of farmland in the United States decreases by
                       0.21 million each year.
     B The amount of farmland in the United States decreases by
                       4.8 million acres each year.
     C The time it takes the farmland in the United States to decrease by
                       160 acres is 33 years.
     D Every 5 years, the amount of farmland in the United States
                       decreases by 20 acres.
14704




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  FSA Mathematics Practice Test Questions                                          Session 2
11. The points on the graph show the population data, in millions, of the
    state of Florida for each decade from 1900 to 2000. The data are
                                                  x
    modeled by the function P (x) = 506975(1.43) , shown on the graph.

                                               Florida Population since 1900
                                               y

                                          18
                                          17
                                          16
                                          15
                                          14
                  Population (millions)




                                          13
                                          12
                                          11
                                          10
                                           9
                                           8
                                           7
                                           6
                                           5
                                           4
                                           3
                                           2
                                           1
                                           0
                                                                               x
                                                   1 2 3 4 5 6 7 8 9 10 11
                                                     Decades since 1900

    What is the domain of the graph of P (x) that is shown?


    A x≥0
    B 1900 ≤ x ≤ 2000
    C all whole numbers
    D 0 ≤ x ≤ 10
14604


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Session 2                    FSA Mathematics Practice Test Questions

12. A bird drops a stick from the top of Miami Tower. The height of the stick
    after x seconds is given by f (x) = 625 – 16x2.

                                                                            1010

    What is the maximum value of f (x)?




        -------
         `````
        aaaaaaa
        0000000
        1111111
        2222222
        3333333
        4444444
        5555555
        6666666
        7777777
        8888888
        9999999

14705




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   FSA Mathematics Practice Test Questions                         Session 2
13. A librarian in a large city collects data about his summer reading
    program. He collects data for two years, 2011 and 2012, on how
    many books are read each week. His ordered data sets are shown.


                                   2011     2012

                                  44,126    35,001
                                  44,901    41,534
                                  55,080    68,550
                                  58,546    75,534
                                  79,984    76,617
                                  99,860    84,834


        The librarian writes a summary about his data, as shown.

        Choose the correct word or phrase to fill in each blank in the summary.
        For each blank, fill in the bubble before the word or phrase that is
        correct.



        If you compare the means, it appears that in 2011 _________

        [ A approximately 71 fewer B approximately 71 more C approximately
        15,229 fewer D approximately 15,229 more] books were read on

        average than in 2012. When the medians for the two years are

        compared, the data show that in 2011 _________ [ A approximately

        71 fewer B approximately 71 more C approximately 15,229 fewer

        D approximately 15,229 more] books were read than in 2012. As far as
        the spread of the data, both data sets have the same _________

        [ A range B lower quartile C upper quartile D interquartile range].

15045




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Session 2                      FSA Mathematics Practice Test Questions

14. Magda and Nicholas each purchase almonds and cashews for their trail
    mix recipes as shown.


                            Almonds     Cashews     Total Cost
                            (pounds)    (pounds)     (dollars)

                 Magda          6           1          $73.60
                 Nicholas       4           3          $78.00


        What is the cost per pound of almonds and cashews?


        Almonds: $                        Cashews: $
                     -------                            -------
                      `````                              `````
                     aaaaaaa                            aaaaaaa
                     0000000                            0000000
                     1111111                            1111111
                     2222222                            2222222
                     3333333                            3333333
                     4444444                            4444444
                     5555555                            5555555
                     6666666                            6666666
                     7777777                            7777777
                     8888888                            8888888
                     9999999                            9999999

15235




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  FSA Mathematics Practice Test Questions   Session 2




  This is the end of Session 2.




Page 23


         Algebra 1 EOC FSA Mathematics Reference Sheet

Customary Conversions
1   foot = 12 inches
1   yard = 3 feet
1   mile = 5,280 feet
1   mile = 1,760 yards

1   cup = 8 fluid ounces
1   pint = 2 cups
1   quart = 2 pints
1   gallon = 4 quarts

1 pound = 16 ounces
1 ton = 2,000 pounds

Metric Conversions
1 meter = 100 centimeters
1 meter = 1000 millimeters
1 kilometer = 1000