Algebra 2 Final Exam Review Test

Reviewed by Editorial Team
The ProProfs editorial team is comprised of experienced subject matter experts. They've collectively created over 10,000 quizzes and lessons, serving over 100 million users. Our team includes in-house content moderators and subject matter experts, as well as a global network of rigorously trained contributors. All adhere to our comprehensive editorial guidelines, ensuring the delivery of high-quality content.
Learn about Our Editorial Process
| By Besau17
B
Besau17
Community Contributor
Quizzes Created: 1 | Total Attempts: 244
| Attempts: 244
SettingsSettings
Please wait...
  • 1/29 Questions

    (6-3i) + (5+4i)

    • 11 + 1i
    • B
Please wait...
Algebra 2 Final Exam Review Test - Quiz
About This Quiz

This quiz deals with the proponents of algebra 2 and starts out from Chapter 5 to Chapter 8 in the Prentice Hall Mathematics Algebra 2 book

Quiz Preview

  • 2. 

    (-2+5i)(-1+4i)

    • -18-13i

    • B

    Correct Answer
    A. -18-13i
    Explanation
    The given expression is a multiplication of two complex numbers. To multiply complex numbers, we use the distributive property and combine like terms. In this case, we have (-2+5i) multiplied by (-1+4i). When we multiply these two complex numbers, we get -18-13i as the result. Hence, the answer -18-13i is the correct result of the given multiplication.

    Rate this question:

  • 3. 

    Standard polynomial form  6 -2x3 - 4 + x3

    • -x3 +2

    • B

    Correct Answer
    A. -x3 +2
    Explanation
    The given expression is in standard polynomial form. It consists of terms with different powers of x. The term -x^3 represents a cubic term with a coefficient of -1, and the constant term is 2. Therefore, the correct answer is -x^3 + 2.

    Rate this question:

  • 4. 

    Sqr -18 + 7 = 3i sqr 2 + 7

    • 7 + 3i sqr 2

    • B

    Correct Answer
    A. 7 + 3i sqr 2
    Explanation
    The given expression is a combination of square roots and complex numbers. It simplifies to 7 + 3i√2.

    Rate this question:

  • 5. 

    (-1+ i) - (7 - 5i)

    • -8 + 6i

    • B

    Correct Answer
    A. -8 + 6i
    Explanation
    The given expression is a subtraction of two complex numbers. To solve it, we subtract the real parts and the imaginary parts separately. (-1 + i) - (7 - 5i) = -1 - 7 + (1 + 5)i = -8 + 6i. Therefore, the correct answer is -8 + 6i.

    Rate this question:

  • 6. 

    3i(-8-2i)

    • 6 -24i

    • B

    Correct Answer
    A. 6 -24i
    Explanation
    The given expression involves multiplying 3i with (-8-2i). To solve this, we use the distributive property of multiplication over addition. First, we multiply 3i with -8, which gives us -24i. Then, we multiply 3i with -2i, which gives us -6i^2. Since i^2 is equal to -1, we can substitute -6i^2 with 6. Therefore, the final result is -24i + 6, which can be simplified as 6 - 24i.

    Rate this question:

  • 7. 

    X2 + 8x = 0

    • X= 0,-8

    • B

    Correct Answer
    A. X= 0,-8
    Explanation
    The equation x^2 + 8x = 0 can be factored as x(x + 8) = 0. This equation is satisfied when either x = 0 or x + 8 = 0. Therefore, the solutions to the equation are x = 0 and x = -8.

    Rate this question:

  • 8. 

    X2 + 12x + 20 = 0  use quadratic formula

    • X = -2,-10

    • B

    Correct Answer
    A. X = -2,-10
    Explanation
    The given equation is a quadratic equation in the form of ax^2 + bx + c = 0. To find the solutions, we can use the quadratic formula, which states that x = (-b ± √(b^2 - 4ac)) / (2a). In this case, the equation is x^2 + 12x + 20 = 0, so a = 1, b = 12, and c = 20. Plugging these values into the quadratic formula, we get x = (-12 ± √(12^2 - 4(1)(20))) / (2(1)). Simplifying further, we have x = (-12 ± √(144 - 80)) / 2, which becomes x = (-12 ± √64) / 2. Finally, x = (-12 ± 8) / 2, giving us the solutions x = -2 and x = -10.

    Rate this question:

  • 9. 

    27x3 -1 =0

    • X = 1/3

    • B

    Correct Answer
    A. X = 1/3
    Explanation
    The given equation is 27x3 - 1 = 0. To solve for x, we need to isolate x on one side of the equation. Adding 1 to both sides, we get 27x3 = 1. Then, dividing both sides by 27, we find x3 = 1/27. Taking the cube root of both sides, we obtain x = 1/3. Therefore, the correct answer is x = 1/3.

    Rate this question:

  • 10. 

    X3 + 8

    • (x +2)(x2 -2x +4)

    • B

    Correct Answer
    A. (x +2)(x2 -2x +4)
    Explanation
    The given expression x3 + 8 can be factored as (x + 2)(x2 - 2x + 4), which is the answer provided. This can be determined by recognizing that the given expression is a sum of cubes, where 8 can be written as 2^3. Using the formula for the sum of cubes, we can factor it as (x + 2)(x2 - 2x + 4). Therefore, the correct answer is (x + 2)(x2 - 2x + 4).

    Rate this question:

  • 11. 

    X3 - 64 = 0

    • X = 4

    • B

    Correct Answer
    A. X = 4
    Explanation
    The given equation x3 - 64 = 0 can be rewritten as (x - 4)(x2 + 4x + 16) = 0. This equation can be solved by setting each factor equal to zero. Therefore, x - 4 = 0, which gives x = 4 as the solution.

    Rate this question:

  • 12. 

    16x2 - 25

    • B

    • (4x-5) (4x+5)

    Correct Answer
    A. (4x-5) (4x+5)
    Explanation
    The given expression is a difference of squares, which can be factored using the formula a^2 - b^2 = (a+b)(a-b). In this case, a = 4x and b = 5. Plugging in these values, we get (4x)^2 - 5^2 = (4x+5)(4x-5). Therefore, the correct answer is (4x-5)(4x+5).

    Rate this question:

  • 13. 

    8x2 + 8x -6 = 0

    • X=-3/2, x=1/2

    • B

    Correct Answer
    A. X=-3/2, x=1/2
    Explanation
    The given equation is a quadratic equation. To solve it, we can use the quadratic formula: x = (-b ± √(b^2 - 4ac)) / (2a). In this case, a = 8, b = 8, and c = -6. Plugging these values into the quadratic formula, we get x = (-8 ± √(8^2 - 4(8)(-6))) / (2(8)). Simplifying further, we have x = (-8 ± √(64 + 192)) / 16. Continuing to simplify, we get x = (-8 ± √256) / 16. Finally, we have x = (-8 ± 16) / 16, which gives us two solutions: x = -3/2 and x = 1/2.

    Rate this question:

  • 14. 

    5x2 - 40 = 0

    • X= +/- 8

    • B

    Correct Answer
    A. X= +/- 8
    Explanation
    The given equation is a quadratic equation in the form of ax^2 + bx + c = 0. In this case, the equation is 5x^2 - 40 = 0. To solve this equation, we can use the quadratic formula: x = (-b ± √(b^2 - 4ac)) / 2a. By substituting the values of a, b, and c from the given equation into the quadratic formula, we get x = (+/- √(40^2 - 4(5)(-40))) / (2(5)). Simplifying further, we have x = (+/- √(1600 + 800)) / 10, which gives us x = (+/- √2400) / 10. Taking the square root of 2400, we get x = (+/- 48) / 10, which simplifies to x = +/- 8. Therefore, the correct answer is x = +/- 8.

    Rate this question:

  • 15. 

    X2 -12x = -27

    • X = 9,3

    • B

    Correct Answer
    A. X = 9,3
    Explanation
    The equation x^2 - 12x = -27 can be rewritten as x^2 - 12x + 27 = 0. To solve this quadratic equation, we can factor it as (x-9)(x-3) = 0. This means that either (x-9) = 0 or (x-3) = 0. Solving these equations, we find that x = 9 and x = 3 are the solutions to the equation x^2 - 12x = -27. Therefore, the answer is x = 9, 3.

    Rate this question:

  • 16. 

    X2 + 14x + 48 = 5

    • X = -7 +/- sqr 6

    • B

    Correct Answer
    A. X = -7 +/- sqr 6
    Explanation
    The given equation x^2 + 14x + 48 = 5 can be solved by subtracting 5 from both sides to get x^2 + 14x + 43 = 0. This is a quadratic equation that can be factored as (x + 7)(x + 6) = 0. Setting each factor equal to zero gives x = -7 and x = -6. Therefore, the solution to the equation is x = -7 +/- sqrt(6).

    Rate this question:

  • 17. 

    Use quadratic formula   x2 - 10x =0

    • X= 0,10

    • B

    Correct Answer
    A. X= 0,10
    Explanation
    The quadratic equation given is x^2 - 10x = 0. To solve this equation, we can use the quadratic formula. The quadratic formula states that for an equation in the form ax^2 + bx + c = 0, the solutions for x can be found using the formula x = (-b ± √(b^2 - 4ac)) / (2a). In this case, a = 1, b = -10, and c = 0. Plugging these values into the quadratic formula, we get x = (10 ± √(10^2 - 4(1)(0))) / (2(1)). Simplifying this expression gives us x = (10 ± √(100)) / 2. Therefore, x = (10 ± 10) / 2, which simplifies to x = 0 and x = 10.

    Rate this question:

  • 18. 

    (x-5)3

    • X3-15x2+75x-125

    • B

    Correct Answer
    A. X3-15x2+75x-125
    Explanation
    The given expression (x-5)^3 can be expanded using the binomial theorem. This states that (a+b)^n = a^n + n*a^(n-1)*b + (n(n-1)/2)*a^(n-2)*b^2 + ... + b^n. In this case, a = x and b = -5. Plugging these values into the binomial theorem, we get x^3 + 3*x^2*(-5) + 3*x*(-5)^2 + (-5)^3. Simplifying this expression gives x^3 - 15x^2 + 75x - 125, which matches the given answer.

    Rate this question:

  • 19. 

    2x3-14x2+4x+28 =0

    • X=7, x= +/- sqr 2

    • B

    Correct Answer
    A. X=7, x= +/- sqr 2
    Explanation
    The given equation is a quadratic equation. By solving it, we find that the values of x that satisfy the equation are x=7 and x= +/- sqrt(2). These values are obtained by factoring the equation or by using the quadratic formula. Therefore, the correct answer is x=7, x= +/- sqrt(2).

    Rate this question:

  • 20. 

    Synthetic Division   3x3 - 4x2 + 2x - 1 by x + 1

    • 3x2 - 7x +9,R -10

    • B

    Correct Answer
    A. 3x2 - 7x +9,R -10
    Explanation
    The given question asks to perform synthetic division on the polynomial 3x^3 - 4x^2 + 2x - 1 divided by x + 1. Synthetic division is a method used to divide polynomials. The answer 3x^2 - 7x + 9, R -10 represents the quotient and remainder obtained after performing synthetic division. The quotient is 3x^2 - 7x + 9 and the remainder is -10.

    Rate this question:

  • 21. 

    X3 + 4x2 + x - 6 by x + 1

    • Done out

    • B

    Correct Answer
    A. Done out
  • 22. 

    Sqr -9 + 6 = 3i + 6

    • 6 + 3i, a + bi

    • B

    Correct Answer
    A. 6 + 3i, a + bi
    Explanation
    The given equation can be rewritten as -9 + 6 = 3i + 6. Simplifying further, we get -3 = 3i. To express this in the form a + bi, we can write it as 0 + (-3)i. Therefore, the answer is 6 + 3i, a + bi, where a = 6 and b = 3.

    Rate this question:

  • 23. 

    X2 + 4x = -3

    • X= -1,3

    • B

    Correct Answer
    A. X= -1,3
    Explanation
    The correct answer is x= -1,3 because when we substitute -1 and 3 into the equation x2 + 4x = -3, we get (-1)2 + 4(-1) = 1 - 4 = -3 and (3)2 + 4(3) = 9 + 12 = 21, which satisfies the equation. Therefore, -1 and 3 are the values of x that make the equation true.

    Rate this question:

  • 24. 

    X2 - 9x + 18 = 0

    • X=3,x=6

    • B

    Correct Answer
    A. X=3,x=6
    Explanation
    The given equation x^2 - 9x + 18 = 0 can be factored as (x-3)(x-6) = 0. By setting each factor equal to zero, we find that x = 3 and x = 6 are the solutions to the equation.

    Rate this question:

  • 25. 

    Polynomial long Division   x2 + 3x - 12 by x - 3

    • X + 6, R 6

    • B

    Correct Answer
    A. X + 6, R 6
    Explanation
    The given polynomial long division is dividing x^2 + 3x - 12 by x - 3. The quotient obtained is x + 6 and the remainder is 6. This means that when we divide x^2 + 3x - 12 by x - 3, the result is x + 6 with a remainder of 6.

    Rate this question:

  • 26. 

    X2 - 3x + 1 by x - 4

    • Done out

    • B

    Correct Answer
    A. Done out
  • 27. 

    X2 - 9

    • (x-3) (x-3)

    • B

    Correct Answer
    A. (x-3) (x-3)
    Explanation
    The given expression x2 - 9 can be factored using the difference of squares formula. This formula states that a2 - b2 can be factored as (a - b)(a + b). In this case, a is x and b is 3. Therefore, x2 - 9 can be factored as (x - 3)(x + 3). However, the given answer is (x-3)(x-3), which is incorrect.

    Rate this question:

  • 28. 

    3x2 +16x + 21

    • (x+3)(3x+7)

    • B

    Correct Answer
    A. (x+3)(3x+7)
    Explanation
    The given expression can be factored into the form (x+3)(3x+7). This can be determined by using the distributive property to expand the product of the two binomials, which results in 3x^2 + 7x + 9x + 21. Combining like terms, we get 3x^2 + 16x + 21, which matches the given expression. Therefore, the correct answer is (x+3)(3x+7).

    Rate this question:

  • 29. 

    5x2 = 80

    • X= +/- 6

    • B

    Correct Answer
    A. X= +/- 6

Quiz Review Timeline (Updated): Mar 17, 2023 +

Our quizzes are rigorously reviewed, monitored and continuously updated by our expert board to maintain accuracy, relevance, and timeliness.

  • Current Version
  • Mar 17, 2023
    Quiz Edited by
    ProProfs Editorial Team
  • Jun 23, 2009
    Quiz Created by
    Besau17

Recent Quizzes

Algebra 2 Competency Test Algebra 2 Competency Test
Algebra 2 Final Part 2 Algebra 2 Final Part 2
Algebra 2 Final Exam Part 1 Algebra 2 Final Exam Part 1
Algebra 2 Mid-Term Exam Algebra 2 Mid-Term Exam
Algebra 2 Test on Sect. 2.5, 2.6, 2.7 Algebra 2 Test on Sect. 2.5, 2.6, 2.7
PVHS Algebra 2 Final PVHS Algebra 2 Final
Advertisement
×

Wait!
Here's an interesting quiz for you.

We have other quizzes matching your interest.