Exponents And Polynomials: Algebra Trivia Quiz

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 Sajones7668

Sajones7668

Community Contributor

Quizzes Created: 12 | Total Attempts: 5,453

| Attempts: 657

Questions

Feedback

During the Quiz End of Quiz

Difficulty

Easy First Hard First Sequential

Share on Facebook Share on Twitter Share on Whatsapp Share on Pinterest Share on Email Copy to Clipboard Embed on your website

1/10 Questions

Simplify
- 4x^3/y
- 4x/y
- X^3y/4
- 4y/x^3

About This Quiz

Are you looking for the best algebra trivia quiz to test your Exponents and polynomials knowledge? When solving a math problem involving polynomials, you will be expected to deal with exponents through a set of rules based on the function used. Get to perfect your skills on solving this by taking up the quiz below and seeing how good you See morewill do.

Exponents And Polynomials: Algebra Trivia Quiz - Quiz

2.

Simplify
- X^32
- X^4
- X^-4
- X^12
Correct Answer

A. X^12

Explanation

To simplify the given expression, we can combine the exponents of x. When we multiply x^32 with x^4, we add the exponents, which gives us x^(32+4) = x^36. Similarly, when we multiply x^(-4) with x^12, we add the exponents, which gives us x^(-4+12) = x^8. Finally, when we multiply x^36 with x^8, we add the exponents, which gives us x^(36+8) = x^44. However, since the answer provided is x^12, it seems like there might be a mistake or missing information in the question.

Rate this question:

0
3.

Simplify
- 32ab^5
- 32a^2b^6
- 32a^2b^5
- 12a^2b^6
Correct Answer

A. 32a^2b^6

Explanation

The given expression is 32ab^5. In order to simplify this expression, we can combine the coefficients and the variables. The coefficient is 32, and the variables are a and b. Since there is no other expression to combine with, the coefficient and variables remain the same. Therefore, the simplified expression is 32ab^5.

Rate this question:

0
4.

Simplify .
- -10x^3 - 4x^2 - 3
- 6X^6 - 4X^4 + 6
- 6X^3 + 4X^2 - 3
- -6x^3 - 4x^2 + 3
Correct Answer

A. -6x^3 - 4x^2 + 3

Explanation

The given expression is a polynomial. To simplify it, we need to combine like terms. In this case, we have terms with the same variable and exponent.

Starting with the x^3 terms, we have -10x^3 and -6x^3. When we combine these, we get -16x^3.

Moving on to the x^2 terms, we have -4x^2 and -4x^2. Combining these, we get -8x^2.

Finally, we have the constant terms -3 and 3. These cancel each other out.

Putting it all together, we get -16x^3 - 8x^2. Therefore, the correct simplified form is -16x^3 - 8x^2.

Rate this question:
5.

Simplify
- -9x^6y^3
- 9x^5y^2
- 9x^6y^2
- -9x^5y^2
Correct Answer

A. 9x^6y^2

Explanation

The given expression is -9x^6y^3. To simplify this expression, we can divide both the coefficients (-9) and the variables (x and y) by their common factors. Since the variables have exponents, we can subtract the exponents when dividing. Therefore, the simplified expression is 9x^6y^2.

Rate this question:

0
6.

Write in scientific notation: 0.000742
- 7.42 x 10^-4
- 7.42 x 10^4
- 0.742 x 10^-3
- 0.742 x 10^3
Correct Answer

A. 7.42 x 10^-4

Explanation

The correct answer is 7.42 x 10^-4. This is because when we write a number in scientific notation, we express it as a decimal number between 1 and 10, multiplied by a power of 10. In this case, the decimal number is 7.42, and the power of 10 is -4. This means that we move the decimal point 4 places to the left to get the original number, which is 0.000742.

Rate this question:

0
7.

Neptune is miles from the sun. Write this decimal in decimal notation.
- 2,793,000,000,000
- 2,793,000,000
- 0.000000002793
- 279,300,000
Correct Answer

A. 2,793,000,000
8.

Simplify
- 6x^2 + 7x - 2
- 5x^2 - x - 3
- 6x^2 + x - 2
- 6x^2 + x + 2
Correct Answer

A. 6x^2 + x - 2

Explanation

The given expression is a fraction with a numerator of 6x^2 + 7x - 2 and a denominator of 5x^2 - x - 3. To simplify this expression, we need to factor both the numerator and the denominator. The numerator can be factored as (3x - 1)(2x + 2), and the denominator can be factored as (5x + 3)(x - 1). By canceling out the common factors of (3x - 1) and (x - 1), we are left with the simplified expression of (2x + 2)/(5x + 3). However, this does not match any of the given answer choices, so the correct answer is not provided.

Rate this question:
9.

Simplify
- 9x^3 - 5x^2 + x - 16
- X^3 - 25x^2 - 11x - 16
- 9x^3 + 25x^2 - x + 10
- X^3 + 5x^2 + 11x - 10
Correct Answer

A. 9x^3 - 5x^2 + x - 16

Explanation

The given expression is 9x^3 - 5x^2 + x - 16. This expression cannot be simplified further since it is already in its simplest form.

Rate this question:
10.

Simplify
- 9x^2 + 4
- 9x^2 - 12x + 4
- 9x^2 - 4
- 9x^2 + 12x - 4
Correct Answer

A. 9x^2 - 12x + 4

Explanation

The given expression is a quadratic expression in the form of 9x^2 - 12x + 4. To simplify the expression, we can combine like terms. Since there are no like terms in the given expression, we cannot further simplify it. Therefore, the correct answer is 9x^2 - 12x + 4.

Rate this question: