# Exponents And Polynomials: Algebra Trivia Quiz

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Quizzes Created: 12 | Total Attempts: 5,231
Questions: 10 | Attempts: 618

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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

D. 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.

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• 2.

### Simplify

• A.

32ab^5

• B.

32a^2b^6

• C.

32a^2b^5

• D.

12a^2b^6

B. 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.

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• 3.

### Simplify

• A.

4x^3/y

• B.

4x/y

• C.

X^3y/4

• D.

4y/x^3

A. 4x^3/y
Explanation
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.

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• 4.

### Simplify

• A.

-9x^6y^3

• B.

9x^5y^2

• C.

9x^6y^2

• D.

-9x^5y^2

C. 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.

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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

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.

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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

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

D. -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.

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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

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.

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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

C. 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.

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• 10.

### Simplify

• A.

9x^2 + 4

• B.

9x^2 - 12x + 4

• C.

9x^2 - 4

• D.

9x^2 + 12x - 4

B. 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.

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• Current Version
• Sep 12, 2023
Quiz Edited by
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• May 30, 2013
Quiz Created by
Sajones7668

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