CSET Math Prep

Discussion in 'Single Subject Tests' started by innovationguy, Jan 6, 2019.

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  1. innovationguy

    innovationguy Comrade

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    Having coached, mentored and tutored hundreds -- if not thousands ;) of candidates in the last decade and half, Im happy to provide DAILY practice for the CSET. To be clear, these Qs reflect the difficulty of those on the test but the style may (deliberately) differ; the content = subject-matter knowledge you need to succeed is absolutely FAIR GAME.

    1. SUBTEST 1: For [​IMG], which of the following statements are FALSE? [There may be more than 1 answer. For better comprehension, CORRECT the statements that are incorrect.]
    a) The Increasing Interval is [​IMG].

    b) The Domain is [​IMG].

    c) The V.A. is [​IMG]
    d) The H.A. is [​IMG].

    2. SUBTEST 2. Given the function [​IMG], write the equation of a new function, [​IMG]AFTER [​IMG]is translated 3 units LEFT and 4 units UP.

    Answers shall be posted the FOLLOWING day :)
    Jay.
    https://csetmathguru.weebly.com/
     
    Last edited: Jan 18, 2019
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  3. ArtificialScrew

    ArtificialScrew Rookie

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    Jan 13, 2019

    Off top of my head,
    1. C is false, x = 4 is the VA. Logs aren't even defined for less than 0. B is true. D is false, natural log functions do not converge. A is false, the increasing interval is the domain itself.

    2. -4 sqrt(x - 1) + 3

    Passed these stupid tests a while back.
     
  4. innovationguy

    innovationguy Comrade

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    Jan 15, 2019

    Solution to #1.
    A is False the log graph does not increase over all Real numbers.
    C is False since the V.A. is x = 4.
    D is False since the log graph does not have H.A.

    Solution #2. is upload_2019-1-15_21-7-25.png since the original function was shifted 2 units LEFT from the parent function, so 3 units FURTHER left would make x = -5 the relevant ordinate.

    upload_2019-1-15_21-6-43.png
     
    Last edited: Feb 19, 2019
  5. innovationguy

    innovationguy Comrade

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    #3. SUBTEST 1. If [​IMG] a root of [​IMG], which of the following are also roots of [​IMG]? Choose ALL that apply.
    1. [​IMG]
    2. [​IMG]
    3. [​IMG]
    4. [​IMG]
    5. [​IMG]
    6. [​IMG]
    #4. SUBTEST 1. The graph of a polynomial function is given below:
    [​IMG]
    Which of the following could be the polynomial function (of lowest degree)?

    1. [​IMG]
    2. [​IMG]
    3. [​IMG]
    4. [​IMG]
    Jay.
    https://csetmathguru.weebly.com/
     
    Last edited: Feb 18, 2019
  6. innovationguy

    innovationguy Comrade

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  7. innovationguy

    innovationguy Comrade

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    Last edited: Jan 18, 2019
  8. innovationguy

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    #7. SUBTEST 2. A soft drink dispenser can be adjusted to deliver any fixed number of ounces of soft drink. If the machine is operating with a standard deviation in delivery equal to 0.3 oz, what should the mean setting be so that a 12 oz cup will overflow less than 1% of the time?
    1. 11.23 oz
    2. 11.3 oz
    3. 11.7 oz.
    4. 12.7 oz
    5. 12.77 oz
    Jay.
    https://csetmathguru.weebly.com/

     
  9. innovationguy

    innovationguy Comrade

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    Jan 18, 2019

    Solution to #3. Since x = -4 is a root, then x + 4 is a factor. By long division or synthetic division, divide the given polynomial by (x + 4)...and factor the left-over "reduced" quadratic factor to get [​IMG].

    Solution to #4. At x = 3, f(x) "touches" the x-axis, so the exponent of (x - 3) must be EVEN [2 ~ lowest degree] whereas at x = -3, f(x) "crosses" the x-axis, so the exponent of (x + 3) must be ODD [1 ~ lowest degree] BUT the "squiggle" at x = -3 indicates that the power MUST be 3 or greater...therefore 3 ~ lowest degree! The answer is choice #2 since the 1st one has a negative leading-term which isnt suggested by the graph...

    Jay.
    https://csetmathguru.weebly.com/
     
    Last edited: Feb 2, 2019
  10. innovationguy

    innovationguy Comrade

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    Solution to #5. Since substituting h = 0 into the expression yields [​IMG], using L’Hopital’s Rule i.e. taking the derivative of every term in the numerator and denominator, we get: [​IMG].

    Jay.
    https://csetmathguru.weebly.com/
     
  11. innovationguy

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  12. innovationguy

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  13. innovationguy

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  14. innovationguy

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    Solution to #7. Since the volume of the soft-drink dispensed should exceed 12oz. only 1% of the time, we a mean such that: [​IMG].
    Working the choices, with the NormalCdf command:
    [​IMG], we get closest to the required probability of 0.01!

    Jay.
    https://csetmathguru.weebly.com/
     
    Last edited: Feb 2, 2019
  15. innovationguy

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  16. innovationguy

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  17. innovationguy

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  18. innovationguy

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  19. innovationguy

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    Solution to #9. Now, [​IMG].

    So, solving [​IMG], we get x = 2.
    Solution to #10. Isolating the fractional power, we get [​IMG].
    Solving: [​IMG].
    Substituting into the original equation, we find [​IMG].

    Jay.
    https://csetmathguru.weebly.com/
     
    Last edited: Feb 18, 2019
  20. innovationguy

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  21. innovationguy

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    Last edited: Feb 18, 2019

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