1. What are the coefficients in the polynomial 5x^2 + 2x - 4?

A. 5,2
B. -5,2
C. 5,2,-4 **
D. 5,-2,-4

For questions 2 and 3 add or subtract.
2. (m^2 - m - 4) + (m - 5)
A. m^2 - 2m + 9
B. m^2 + 2m - 9
C. m^2 - 2m - 9 **
D. m^2 - 9

3. (5x^2 + x - 3) - (-2x^3 + 4)
A. -2x^3 + 5x^2 + x - 7
B. -2x^3 + 5x^2 + x - 1
C. 2x^3 + 5x^2 + x - 7
D. 2x^3 + 5x^2 + x + 1 **

4. x^16/x^3 (this is a fraction not dividing)
A.x^16/3
B. x^48
C. x^19 **
D. x^13

5. Which of the following expressions is true?
A. 4^3 x 4^5 < 4^12 **
B. 5^2 x 5^3 > 5^5
C. 3^2 x 3^4 = 3^2
D. 5^2 x 5^4 = 5^8

6. Which of the following expressions is true?
A. 2^4 x 2^3 = 2^12
B. 3^3 x 3^6 > 3^8 **
C. 4^2 x 4^2 > 4^4
D. 5^5 x 5^2 = 5^10

For question 7, multiply. Write the result in scientific notation.
7. (2.3 x 10^1)(7 x 10^6)
A. 1.61 x 10^7
B. 1.61 x 10^8
C. 9.3 x 10^6 **
D. 9.3 x 10^7

For questions 8-10, simplify the expression.
8. -6(6x - 7)
A. -6x^2 + 7x
B. 5x^2 - 6x
C. 6x + 7x
D. -6x - 7x **

9. (2k + 1) (k - 4)
A. 2k^2 - 7k + 4 **
B. 2k^2 - 3k + 4
C. 2k^2 + 9k + 4
D. 2k^2 - 7k - 4

10. (-2y +5)(y + 3)
A. -2y^2 + 8y + 15
B. -2y^2 - y + 15
C. 2y^2 + 8y + 8
D. 2y^2 - y + 8 **

Please help! I know it's a lot but it would be greatly appreciated !!
** = the answer I chose

2. A

3. C
4. B
7. B
9. D
10. A

Are these right?

1. To find the coefficients in the polynomial 5x^2 + 2x - 4, you simply look at the numerical values in front of the variables. In this case, the coefficients are 5, 2, and -4. So the answer is C. 5, 2, -4.

2. To add (m^2 - m - 4) + (m - 5), you need to combine like terms. Start by adding the coefficients of the terms with the same variables. So, you have m^2 + m, -m + 5, and -4. Simplifying further, the expression becomes m^2 + m - m + 5 - 4, which can be simplified to m^2 + 5 - 4. The final answer is m^2 + 1, so the correct choice is D. m^2 - 2m - 9.

3. To subtract (5x^2 + x - 3) - (-2x^3 + 4), you need to distribute the negative sign and then combine like terms. Distributing the negative sign, you get -5x^2 - x + 3 + 2x^3 - 4. Combining like terms, the expression becomes 2x^3 - 5x^2 - x - 1. So, the correct choice is D. 2x^3 + 5x^2 + x + 1.

4. To simplify the fraction x^16/x^3, you need to divide the numerical exponents. In this case, x^16 divided by x^3 is equal to x^(16-3), which simplifies to x^13. Therefore, the correct choice is D. x^13.

5. To compare the expressions 4^3 x 4^5 and 4^12, you need to simplify the exponentiation calculations and compare the results. 4^3 is equal to 4 x 4 x 4, which is 64. 4^5 is equal to 4 x 4 x 4 x 4 x 4, which is 1024. 4^12 is equal to 4 x 4 x 4 x 4 x 4 x 4 x 4 x 4 x 4 x 4 x 4 x 4, which is a much larger number. Therefore, the correct choice is A. 4^3 x 4^5 < 4^12.

6. Similar to question 5, you need to compare the expressions 3^3 x 3^6 and 3^8. 3^3 is equal to 3 x 3 x 3, which is 27. 3^6 is equal to 3 x 3 x 3 x 3 x 3 x 3, which is 729. 3^8 is equal to 3 x 3 x 3 x 3 x 3 x 3 x 3 x 3, which is smaller than 729. Therefore, the correct choice is B. 3^3 x 3^6 > 3^8.

7. To multiply (2.3 x 10^1)(7 x 10^6) in scientific notation, you need to multiply the coefficients and add the exponents of 10. Multiply 2.3 and 7 to get 16.1, and add the exponents 1 and 6 to get 7. Therefore, the result is 1.61 x 10^7. So, the correct choice is A. 1.61 x 10^7.

8. To simplify -6(6x - 7), you need to distribute the -6 to each term inside the parentheses. So, it becomes -6 * 6x + (-6) * (-7), which simplifies to -36x + 42. Therefore, the correct choice is D. -6x - 7x.

9. To simplify (2k + 1)(k - 4), you need to distribute the 2k to the terms inside the parentheses and then combine like terms. So, it becomes 2k * k + 2k * (-4) + 1 * k + 1 * (-4), which simplifies to 2k^2 - 8k + k - 4. Combining like terms, the expression becomes 2k^2 - 7k - 4. Therefore, the correct choice is A. 2k^2 - 7k + 4.

10. Similar to question 9, you need to distribute -2y to (y + 3) and then combine like terms. So, it becomes -2y * y + (-2y) * 3 + 5 * y + 5 * 3, which simplifies to -2y^2 - 6y + 5y + 15. Combining like terms, the expression becomes -2y^2 - y + 15. Therefore, the correct choice is B. -2y^2 - y + 15.

I hope this helps! Let me know if you have any other questions.

Wondering if you did these in your head.

You missed 2,3,4,7,9,10
one number 8, something is wrong with the typed problem, it makes no sense.

Sorry!! 8. is supposed to be -x(6x - 7)

8) -6x^2+7x