Algebra 2 Competency Test

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Quizzes Created: 2 | Total Attempts: 999
Questions: 16 | Attempts: 178

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Algebra 2 Competency Test - Quiz

To pass this test, you must score an 80% or above. The open-ended portions will be graded and the score will be sent to you.


Questions and Answers
  • 1. 

    Explain how to find the product of the following 2 matrices without using a calculator.  Type response below

  • 2. 

    Simplify the following:Type response below

  • 3. 

    Find the equation of the conic with diameter endpoint at (4, -1) and (8,5).  Type response below

  • 4. 

    Define DOMAIN, RANGE, INTERCEPTS, ASYMPTOTES in the context of rational functions.  Type response below.

  • 5. 

    Explain how to read key features from an equation when graphing a function.   Type response below.

  • 6. 

    The expanded form of is

  • 7. 

    Under which conditions is  negative?

    • A.
    • B.
    • C.
    • D.
    • E.

      None of the above

    Correct Answer
    B.
  • 8. 

    Correct Answer
    B
    b
  • 9. 

    Please fill answer belowSolve log 5 + 2 log x = log 100

    Correct Answer
    4.47
  • 10. 

    5x 1/2+7=22

    • A.

      1/3

    • B.

      3

    • C.

      9

    • D.

      1/9

    Correct Answer
    C. 9
    Explanation
    The equation given is 5x (1/2) + 7 = 22. To solve for x, we first simplify the equation by multiplying 5 and (1/2), which equals 2.5. Then we subtract 7 from both sides, resulting in 2.5x = 15. Finally, we divide both sides by 2.5, giving us x = 6. Therefore, the correct answer is 6.

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  • 11. 

    X-2=9

    • A.

      3

    • B.

      1/3

    • C.

      -1/3

    • D.

      -3

    Correct Answer
    B. 1/3
    Explanation
    The given equation is x-2=9. To solve for x, we need to isolate it on one side of the equation. Adding 2 to both sides gives us x=11. Therefore, the correct answer is 11. However, none of the options provided match 11. Therefore, the correct answer is not available.

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  • 12. 

    5x 1/2+7=22

    • A.

      1/3

    • B.

      3

    • C.

      9

    • D.

      1/9

    Correct Answer
    C. 9
    Explanation
    The equation given is 5x * 1/2 + 7 = 22. To solve this equation, we first simplify the left side by multiplying 5x with 1/2, which gives us 5x/2. Then, we add 7 to this result. So, the equation becomes 5x/2 + 7 = 22. To isolate the variable x, we subtract 7 from both sides, resulting in 5x/2 = 15. To solve for x, we multiply both sides by 2/5, canceling out the 2 and 5 on the left side and leaving us with x = 30/5, which simplifies to x = 6. However, none of the answer choices match this result, so the correct answer is not available.

    Rate this question:

  • 13. 

    X-2=9

    • A.

      3

    • B.

      1/3

    • C.

      -1/3

    • D.

      -3

    Correct Answer
    B. 1/3
  • 14. 

    Which statement is TRUE about the rational function ?

    • A.

      There is a vertical asymptote at x=2

    • B.

      There is point discontinuity at x=2

    • C.

      The domain is all real numbers from (-2) to 2.

    • D.

      There is a vertical asymtote at x=(-2)

    • E.

      The function is continuous.

    Correct Answer
    D. There is a vertical asymtote at x=(-2)
    Explanation
    The statement "There is a vertical asymptote at x=(-2)" is true because a vertical asymptote occurs when the denominator of a rational function equals zero. In this case, the denominator of the rational function has a factor of (x+2), which means that x=(-2) is the value that makes the denominator zero. Therefore, there is a vertical asymptote at x=(-2).

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  • 15. 

    Solve 

    • A.

      14

    • B.

      (-2)

    • C.

      14 and (-2)

    • D.
    • E.

      None of the above

    Correct Answer
    C. 14 and (-2)
    Explanation
    The given question asks for the solution to the expression 14 / (-2). The correct answer is 14 and (-2) because dividing 14 by -2 gives a quotient of -7. Therefore, the solution to the expression is -7.

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  • 16. 

    The imaginary number  is equivalent to

    • A.

      (-1)

    • B.

      1

    • C.
    • D.
    • E.

      None of these

    Correct Answer
    A. (-1)
    Explanation
    The imaginary number is equivalent to (-1) because it is the square root of -1. In mathematics, the imaginary unit is denoted by the symbol "i", and it is defined as the square root of -1. Therefore, (-1) is the correct answer as it represents the imaginary number.

    Rate this question:

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  • Current Version
  • Mar 21, 2023
    Quiz Edited by
    ProProfs Editorial Team
  • Jun 10, 2014
    Quiz Created by
    PotomacTutors
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