### Algebra 1 help.. Please?

Question 1 (Multiple Choice Worth 5 points)

[7.01]

Choose the correct classification of x^6 + 3x^3 by number of terms and by degree.

Third degree polynomial

Fourth degree trinomial

Third degree binomial

Sixth degree binomial

Question 2 (Multiple Choice Worth 5 points)

[7.01]

Choose the polynomial that is written in standard form.

xy^3 + 4x^5y + 10x^3

x^4y^2 + 4x^2y + 8x

−9x^4y^2 + 4x^3y^5 + 10x^2

x^6y^3 + 4x^4y^8 + x^2

Question 3 (Multiple Choice Worth 5 points)

[7.02] Choose the correct sum of the polynomials (6x^3 − 8x − 5) + (3x^3 + 6x + 2).

9x^3 − 2x − 3

3x^3 + 2x + 3

3x^3 − 2x − 3

9x^3 + 14x + 3

Question 4 (Multiple Choice Worth 5 points)

[7.03] Identify the Exponent Law shown in the example below.

(a^2)^3 = a^2*3 = a^6

Power of a Product

Power of a Power

Product of Powers

None of the Above

Question 5 (Multiple Choice Worth 5 points)

[7.03] Choose the correct simplification of the expression (2x^2y^6z^5)(5x^4y^5z^3).

10 x^8y^30z^15

7 x^6y^11z^8

7x^8y^30z^15

10x^6y^11z^8

Question 6 (Multiple Choice Worth 5 points)

[7.03] Choose the correct simplification of the expression (5a^7b)^2.

25a^14b^2

25a^9b^2

25a^14b

10a^14b^2

Question 7 (Multiple Choice Worth 5 points)

[7.03] Choose the correct simplification of the expression (2x^7y)^2(y^5)^3.

4x^7y^10

4x^9y^10

4x^14y^16

4x^14y^17

Question 8 (Multiple Choice Worth 5 points)

[7.04] Choose the correct simplification of the expression a to the 9th power times b to the 10th power all over a to the 2nd power times b to the 7th power.

a^11b^17

1 over a to the 11th power times b to the 17th power

1 over a to the 7th power times b to the 3rd power

a^7b^3

Question 9 (Multiple Choice Worth 5 points)

[7.04] Choose the correct simplification of the expression the quantity a to the 3rd power over b to the 7th power all raised to the 2nd power.

a to the 5th power over b to the 9th power

a over b to the 14th power

a to the 6th power over b to the 14th power

a^6b^14

Question 10 (Multiple Choice Worth 5 points)

[7.04] Choose the correct simplification of the expression 4 times b all over a to the power of negative 10.

a to the 10th power times b all over 4

4a^10b

4 over a to the 10th power times b

Already simplified

Question 11 (Multiple Choice Worth 5 points)

[7.04] Choose the correct simplification of the expression (−11x^3y^12z^3)^0.

0

6x^3y^12z^3

−11

1

Question 12 (Multiple Choice Worth 5 points)

[7.06] Choose the correct simplification of the expression −3x^2(5x − 4x^2 − 6).

−7x^4 + 2x^3 − 9x^2

12x^4 − 15x^3 + 18x^2

12x^4 + 15x^3 + 18x^2

−12x^4 + 15x^3 − 18x^2

Question 13 (Multiple Choice Worth 5 points)

[7.06] Choose the correct simplification of the expression (−2x + 10y)(4x − 6y).

−8x^2 − 52xy + 60y^2

−8x^2 + 52xy − 60y^2

8x^2 + 52xy − 60y^2

−8x^2 + 28xy − 60y^2

Question 14 (Multiple Choice Worth 5 points)

[7.06] Choose the correct simplification of the expression (2x − 6)(3x^2 − 3x − 6).

6x^3 − 24x^2 + 6x + 36

6x^3 − 24x^2 + 6x − 36

6x^3 + 24x^2 − 6x + 36

6x^3 − 24x^2 + 6x + 12

Question 15 (Multiple Choice Worth 5 points)

[7.07] Choose the correct product of (6x + 2)^2.

36x^2 − 4

36x^2 + 4

36x^2 − 24x + 4

36x^2 + 24x + 4

Question 16 (Multiple Choice Worth 5 points)

[7.07] Choose the correct product of (7x − 6)^2.

49x^2 + 84x + 36

49x^2 − 36

49x^2 + 36

49x^2 − 84x + 36

Question 17 (Multiple Choice Worth 5 points)

[7.07] Choose the correct product of (6x − 2)(6x + 2).

36x^2 + 4

36x^2 − 24x + 4

36x^2 + 24x + 4

36x^2 − 4

Question 18 (Multiple Choice Worth 5 points)

[7.08] Find the quotient of the quantity 21 times x to the 2nd power times y to the 6th power plus 6 times x times y to the 3rd power minus 30 times x times y all over 3 times x times y.

21x^2y^6 + 6xy^3 − 10

7xy^5 + 2y^2 + 10

7xy^5 + 2y^2 − 10

7xy^5 + 2^y − 10

Question 19 (Multiple Choice Worth 5 points)

[7.08] Find the quotient of the quantity negative 5 times x to the 3rd power plus 20 times x to the 2nd power minus 25 times x all over negative 5 times x.

−5x^3 + 20x^2 + 5

x^2 − 4x + 5

−x^2 − 4x + 5

x^2 + 4x − 5

Question 20 (Essay Worth 5 points)

[7.02] Find the difference of (−5x^2 − x^3 − 3) − (9x^3 + 3x − 6x^2). Be sure to show all of your work in a neat and organized fashion.

Use the ^ (shift 6) symbol to show an exponent. For example, x squared can be written as x^2.

I realize it's a lot, but I really just don't understand it and I don't have much time to finish, so, please do help.. Thank you so much.

### Best Answer

1. 6th degree binomial (D)

2. x^4y^2 + 4x^2y + 8x (B)

3. 6x^3 - 8x - 5 + 3x^3 + 6x + 2 = 9x^3 - 2x - 3 (A)

4. product of powers (C)

5. (2x^2 y^6 z^5)(5x^4 y^5 z^3) = 10x^6 y^11 z^8 (D)

6. (5a^7b)^2 = (5a^7b)(5a^7b) = 25a^14b^2 (D)

7. (2x^7y)^2 (y^5)^3 = 4x^14y^2 y^15 = 4x^14 y^17 (D)

8. (a^9 * b^10) / (a^2 * b^7) = a^7b^3 (D)

9. (a^3/b^7)^2 = (a^6)/(b^14) (C)

10. (4*b)/a^-10 = 4a^10b (B)

11. (-11x^3y^12z^3)^0 = 1 (D)

12. -3x^2 (5x - 4x^2 - 6) = 12x^4 - 15x^3 + 18x^2 (B)

13. (-2x + 10y)(4x - 6y) = -8x^2 + 52xy - 60y^2 (B)

14. (2x - 6)(3x^2 - 3x - 6) = 6x^3 - 24x^2 + 6x + 36 (A)

15. (6x + 2)^2 = (6x + 2)(6x + 2) = 36x^2 + 24x + 4 (D)

16. (7x - 6)^2 = (7x - 6)(7x - 6) = 49x^2 - 84x + 36 (D)

17. (6x - 2)(6x+ 2) = 36x^2 - 4 (D)

18. ??

19. ((-5)(x^3) + 20(x^2) - 25(x)) / -5x = x^2 - 4x + 5 (C)

20. (-5x^2 - x^3 - 3) - (9x^3 + 3x - 6x^2) = -10x^3 + x^2 - 3x - 3

### Answers

(6x^3 − 8x − 5) + (3x^3 + 6x + 2).

9x^3-2x -3

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