# Algebra 2 Competency Test

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• 1.

• 2.

• 3.

• 4.

• 5.

• 6.

• 7.

### Under which conditions is  negative?

• A.
• B.
• C.
• D.
• E.

None of the above

B.
• 8.
B
b
• 9.

4.47
• 10.

### 5x 1/2+7=22

• A.

1/3

• B.

3

• C.

9

• D.

1/9

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

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

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.

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• 13.

• A.

3

• B.

1/3

• C.

-1/3

• D.

-3

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.

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

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

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.

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• Current Version
• Mar 21, 2023
Quiz Edited by
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• Jun 10, 2014
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