Exponents And Polynomials: Algebra Trivia 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 will do.
- 1.
Simplify
- A.
X^32
- B.
X^4
- C.
X^-4
- D.
X^12
Correct Answer
D. X^12Explanation
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:
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- 2.
Simplify
- A.
32ab^5
- B.
32a^2b^6
- C.
32a^2b^5
- D.
12a^2b^6
Correct Answer
B. 32a^2b^6Explanation
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:
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- 3.
Simplify
- A.
4x^3/y
- B.
4x/y
- C.
X^3y/4
- D.
4y/x^3
Correct Answer
A. 4x^3/yExplanation
The given expression is 4x^3/y. To simplify this expression, we can divide the numerator and denominator by 4. This gives us x^3/y, which is the same as x^3y/4. Therefore, the correct answer is 4x^3/y.Rate this question:
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- 4.
Simplify
- A.
-9x^6y^3
- B.
9x^5y^2
- C.
9x^6y^2
- D.
-9x^5y^2
Correct Answer
C. 9x^6y^2Explanation
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:
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- 5.
Write in scientific notation: 0.000742
- A.
7.42 x 10^-4
- B.
7.42 x 10^4
- C.
0.742 x 10^-3
- D.
0.742 x 10^3
Correct Answer
A. 7.42 x 10^-4Explanation
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:
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- 6.
Neptune is miles from the sun. Write this decimal in decimal notation.
- A.
2,793,000,000,000
- B.
2,793,000,000
- C.
0.000000002793
- D.
279,300,000
Correct Answer
B. 2,793,000,000 -
- 7.
Simplify .
- A.
-10x^3 - 4x^2 - 3
- B.
6X^6 - 4X^4 + 6
- C.
6X^3 + 4X^2 - 3
- D.
-6x^3 - 4x^2 + 3
Correct Answer
D. -6x^3 - 4x^2 + 3Explanation
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:
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- 8.
Simplify
- A.
9x^3 - 5x^2 + x - 16
- B.
X^3 - 25x^2 - 11x - 16
- C.
9x^3 + 25x^2 - x + 10
- D.
X^3 + 5x^2 + 11x - 10
Correct Answer
A. 9x^3 - 5x^2 + x - 16Explanation
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:
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- 9.
Simplify
- A.
6x^2 + 7x - 2
- B.
5x^2 - x - 3
- C.
6x^2 + x - 2
- D.
6x^2 + x + 2
Correct Answer
C. 6x^2 + x - 2Explanation
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:
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- 10.
Simplify
- A.
9x^2 + 4
- B.
9x^2 - 12x + 4
- C.
9x^2 - 4
- D.
9x^2 + 12x - 4
Correct Answer
B. 9x^2 - 12x + 4Explanation
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:
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Current Version
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Sep 12, 2023Quiz Edited by
ProProfs Editorial Team -
May 30, 2013Quiz Created by
Sajones7668
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