# Algebra 2 Semester Exam Practice

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Dinkinsk
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Quizzes Created: 3 | Total Attempts: 1,979
Questions: 36 | Attempts: 1,181

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Note: ^ is used to note exponents ie. X^2 reads x to the second power.
It is importantthat when entering answers you use spaces between operation symbols.
Ex. 2x + 3y instead of 2x+3y
And no spaces before and after parenthesis or exponents
Ex. 2(x^-2 + 3)

• 1.

• A.

-14

• B.

14

• C.

44

• D.

34

A. -14
• 2.

### Simplify  5x + 2y â€“ 7x + y

-2x + 3y, 3y - 2x, -2x+3y, 3y-2x
• 3.

### Simplify 6(4x + 8y) + 2(3x â€“ 6y)

30x + 36y, 30x+36y, 36y + 30x, 36y+30x
• 4.

### Simplify (4x² + 3x + 3) + (5x² – 13x – 8).  Use ^ for powers ie. x^2 is x to the second power.

9x^2 - 10x - 5, 9x2 - 10x - 5
• 5.

### Simplify (-10xÂ² â€“ 4x + 8)- (6xÂ² + 10x -3)

-16x^2 - 14x + 11
• 6.

### Simplify  -3xy(6xyÂ³- 4xy + 7yÂ²)

• A.

-18x^2y^4 + 12x^2y^2 - 21xy^3

• B.

-18x^2y^4 - 12x^2y^2 - 21xy^3

• C.

3x^2y^4 - 7x^2y^2 + 4xy^3

• D.

3x^2y^4 + 7x^2y^2 - 4xy^3

A. -18x^2y^4 + 12x^2y^2 - 21xy^3
• 7.

### Simplify 10squrt(162) - squrt(405) - squrt(200)

80squrt(2) - 9squrt(5)
Explanation
squrt = sqare root. When typing your answer write it in the way the question is given.
Example: 30squrt(18) - squrt(5)

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• 8.
• A.

A

• B.

B

• C.

C

• D.

D

B. B
• 9.
• A.

A

• B.

B

• C.

C

• D.

D

A. A
• 10.

### Solve 24p - 12 = 50; p = _____, round to the nearest hundredth.

2.58
Explanation
To solve the equation 24p - 12 = 50, we need to isolate the variable p. First, we add 12 to both sides of the equation, which gives us 24p = 62. Then, we divide both sides by 24 to solve for p. Simplifying this gives us p = 62/24 = 2.5833333. Rounding to the nearest hundredth, we get p â‰ˆ 2.58.

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• 11.

### Solve 5x - 23 = 56; x = ____, round to the nearest tenth.

15.8
Explanation
To solve the equation 5x - 23 = 56, we need to isolate the variable x. First, we add 23 to both sides of the equation to get 5x = 79. Then, we divide both sides by 5 to solve for x, which gives us x = 15.8. Rounding to the nearest tenth, we get the final answer of 15.8.

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• 12.

### Solve- abs(x - 2) = 27, X = ____

• A.

29

• B.

25

• C.

-25

• D.

29, -25

D. 29, -25
Explanation
abs(x-2) means the absolute value of x - 2

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• 13.

### Find the value of f(6) if f(x) = -4x - 2.

• A.

26

• B.

-26

• C.

24

• D.

-24

B. -26
Explanation
To find the value of f(6), we substitute x = 6 into the given function f(x) = -4x - 2. Therefore, f(6) = -4(6) - 2 = -24 - 2 = -26.

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• 14.

1
• 15.

y = 3x + 5
• 16.

### Solve the system of equations.     x â€“ y = 4 and y = 2x â€“ 6

• A.

X = 2 y = 2

• B.

X = -2 y = 2

• C.

X = -2 y = -2

• D.

X = 2 y = -2

D. X = 2 y = -2
• 17.

### Solve the system of equations.  2x + 5y = 12 and x â€“ 3y = -2

• A.

X = 4.8 y = 3.0

• B.

X = 2.4 y = 1.5

• C.

X = 1.2 y = 0.75

• D.

X = 7.2 y = 4.5

B. X = 2.4 y = 1.5
• 18.

### Describe the system of equation as consistent and independent, consistent and dependent, or none of these.   3x â€“ 2y = 1 and 6x â€“ 9y = 63

• A.

Consistent and independent

• B.

Consistent and dependent

• C.

None of these

A. Consistent and independent
Explanation
The system of equations is consistent because there is at least one solution that satisfies both equations. It is also independent because the coefficients of x and y in both equations are not proportional to each other. Therefore, the system has a unique solution.

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• 19.

### Express the given number or expression in scientific notation.  Round to the nearest hundredth.  0.0000269074

2.69 x 10^-5
Explanation
use spaces between x
ex. 1.23 x 10^-5

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• 20.

### Factor  4xy â€“ 3y â€“ 40x + 30

• A.

(4x - 3)(2y - 20)

• B.

(12x - 9)(2y - 20)

• C.

(y - 10)(4x - 3)

• D.

Y(4x - 3) - 10(4x - 3)

C. (y - 10)(4x - 3)
• 21.

### Factor 2xÂ² + 3x â€“ 9

(2x - 3)(x + 3)
(x + 3)(2x -3)
Explanation
Type no spaces after parenthesis or between
Ex. (x - 2)(x + 3)

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• 22.

• A.

11 + 11i

• B.

11 - 11i

• C.

30 - 72i

• D.

11 + 13i

B. 11 - 11i
• 23.

### (4 - 10Î¯) + (15 - 16Î¯)

19 - 26i
-26i + 19
Explanation
use spaces between operation symbols

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• 24.

### Solve: squrt(2x - 2) + 12 = 14x = ____  Type the number only for your answer.

3
Explanation
squrt(2x - 2), means the square root of 2x - 2

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• 25.

### Solve:  squrt(x - 3) + 6 = 15

• A.

64

• B.

84

• C.

74

• D.

34

B. 84
Explanation
To solve the equation, we first isolate the square root term by subtracting 6 from both sides: sqrt(x - 3) = 9. Then, we square both sides to eliminate the square root: x - 3 = 81. Adding 3 to both sides gives us x = 84. Therefore, the correct answer is 84.

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• 26.

### M + 5 < 4 or m + 2 > 9

• A.

M > -1 or m< 7

• B.

M . -1 or m > 7

• C.

M < -1 or m > 7

• D.

M > - 1 or m > 7

C. M < -1 or m > 7
Explanation
The given equation is a compound inequality with two parts connected by "or". To solve it, we need to solve each part separately and then combine the solutions.

For the first part, m + 5 < 4, we subtract 5 from both sides to isolate m, giving us m < -1.

For the second part, m + 2 > 9, we subtract 2 from both sides to isolate m, giving us m > 7.

Combining the solutions, we get m < -1 or m > 7. This means that m can be any value less than -1 or any value greater than 7.

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• 27.

### Simplify sqrt(36x^12y^8)

• A.

6x^6y^4

• B.

6x^12y^8

• C.

9x^12y^8

• D.

9x^6y^4

A. 6x^6y^4
Explanation
To simplify the given expression, we need to find the square root of each term. The square root of 36 is 6, the square root of x^12 is x^6, and the square root of y^8 is y^4. Therefore, the simplified expression is 6x^6y^4.

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• 28.

### Express the product in Scientific notation. Round to the nearest hundredth and use spaces between x, and no spaces before or after parenthesis or ^. (6.34 x 10^-3)(6.3 x 10^-5)

3.99 x 10^-7
Explanation
To multiply numbers in scientific notation, we multiply the coefficients and add the exponents. In this case, the product of the coefficients is 6.34 x 6.3 = 39.882. The exponents are -3 and -5, so we add them to get -8. Rounding 39.882 to the nearest hundredth gives us 39.88. Therefore, the product in scientific notation is 3.99 x 10^-7.

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• 29.

### Simplify squrt(-200x^8y^12)

• A.

-10x^4y^6squrt(2)

• B.

-10ix^4y^6squrt(2)

• C.

10x^4y^6squrt(-2)

• D.

10ix^4y^6squrt(2)

D. 10ix^4y^6squrt(2)
• 30.

### Evaluate  squrt(-300) x squrt(-400)

• A.

Squrt(1200)

• B.

20squrt(3)

• C.

200isqurt(3)

• D.

-200squrt(3)

D. -200squrt(3)
• 31.

### Simplify  sqrt(200x^17y^24)

• A.

10x^8y^12squrt(2x)

• B.

10x^8y^12squrt(2)

• C.

10y^12squrt(2x^17)

• D.

10squrt(2x^17y^24)

A. 10x^8y^12squrt(2x)
• 32.
• A.

A

• B.

B

• C.

C

• D.

D

B. B
• 33.
• A.

A

• B.

B

• C.

C

• D.

D

B. B
• 34.

### What is squrt(1344) divided by squrt(7)

• A.

192

• B.

32squrt(6)

• C.

8squrt(3)

• D.

Squrt(192)

C. 8squrt(3)
Explanation
The given question asks for the result of dividing the square root of 1344 by the square root of 7. Simplifying this expression, we can rewrite the square root of 1344 as the square root of 64 times the square root of 21, which becomes 8 times the square root of 21. Similarly, the square root of 7 cannot be simplified further. Therefore, dividing 8 times the square root of 21 by the square root of 7 gives us 8 times the square root of 3.

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• 35.
• A.

A

• B.

B

• C.

C

• D.

D

C. C
• 36.
• A.

A

• B.

B

• C.

C

• D.

D

A. A

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• Current Version
• Sep 02, 2024
Quiz Edited by
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• Jan 09, 2009
Quiz Created by
Dinkinsk

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