Algebra 2 Competency Test
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
- A.
![Algebra 2 Competency Test - Quiz]()
- B.
![Algebra 2 Competency Test - Quiz]()
- C.
![Algebra 2 Competency Test - Quiz]()
-
- 7.
Under which conditions is negative?
- A.
![Algebra 2 Competency Test - Quiz]()
- B.
![Algebra 2 Competency Test - Quiz]()
- C.
![Algebra 2 Competency Test - Quiz]()
- D.
![Algebra 2 Competency Test - Quiz]()
- 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. 9Explanation
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.Rate this question:
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- 11.
X-2=9
- A.
3
- B.
1/3
- C.
-1/3
- D.
-3
Correct Answer
B. 1/3Explanation
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.Rate this question:
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- 12.
5x 1/2+7=22
- A.
1/3
- B.
3
- C.
9
- D.
1/9
Correct Answer
C. 9Explanation
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:
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- 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).Rate this question:
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- 15.
Solve
- A.
14
- B.
(-2)
- C.
14 and (-2)
- D.
![Algebra 2 Competency Test - Quiz]()
- 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.Rate this question:
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- 16.
The imaginary number is equivalent to
- A.
(-1)
- B.
1
- C.
![Algebra 2 Competency Test - Quiz]()
- D.
![Algebra 2 Competency Test - Quiz]()
- 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
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Mar 21, 2023Quiz Edited by
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Jun 10, 2014Quiz Created by
PotomacTutors
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