1. Find the excluded value of x for the polynomomial expression 4x/6

a. 6
b. -6
c. 1/6
d. -1/6

2. Simplifly 3-2x/7 + 4x+5/7
a. 2x+8/14
b. 2x+8/7 <---
c. x+1/7
d. 2x+2/7

3. Simplify 6ab^6/4a^7b^10 * a^3b^4/2a^7b^6
a. 7x/8 - 2x/8
b. -5x/8
c. 3a^2b^3/4a^7b^8
d. a^2b^5/2a^7b^8

4. Simplify 15x+3/27x-18 * 3x-2/5x+1
a. 7-2x/2x-18
b. 3
c. 7-2x/x-9
d. 5-15x/x+5 + 8x+8/x+5

5. 5x/x+9
a. -5x/x+9
b. 1
c. 8x/x-2 - 21x/x-2
d. 13x/x-2

7. 6a^8b^8/5a^6b^11 / 3a^4b^10/a^4b^4
a. 2a^2/5b^9
b. 2a^6b^4/5a^5b^7
c. 18a^6b^18/5a^5b^11
d. - 5/x-10

8. 11x/8-x
a. 3x/4-x + 10x/x-4
b. 7x/4-x
c. 7x/4-x
d. 13x/4-x

9. 4x-13/12x
a. 2x-1/6x +x+2/2x
b.4x+3/12x
c. 4x+3/6x
d. 3x+1/6x

10. Simplify using long division 11x/(x+8)(x-4)
a. 11/(x+8)(x-4)
b. 11x+16/(x+8)(x-4)
c. 11x+28/(x+8)(x-4)
d. 3/x+9 + 4/x-8
I need help really bad :(

what do yo think for each problem?

Of course, I'm here to help! Let's go through each question step by step.

1. To find the excluded value of x for the polynomial expression 4x/6, we need to identify the value of x that would make the expression undefined. In this case, the expression becomes undefined when the denominator is equal to zero since division by zero is undefined.
So, we need to solve the equation 6 = 0. However, this equation has no solution since 6 is not equal to zero. Therefore, there is no excluded value for x in this expression. The answer is none of the given options.

2. To simplify the expression 3-2x/7 + 4x+5/7, we need to combine the like terms in the numerator. So the simplified expression becomes (3 - 2x + 4x + 5)/7 = (5 + 2x)/7. Therefore, the correct answer is option b. 2x+8/7.

3. To simplify the expression 6ab^6/4a^7b^10 * a^3b^4/2a^7b^6, we can simplify the numerical coefficients and the variables separately.
First, simplify the numerical coefficients: (6/4) * (3/2) = 18/8 = 9/4.
Then, simplify the variables: a^1 * a^3 * b^(-10) * b^4 * b^6 * b^(-6) = a^(1+3) * b^(-10+4+6-6) = a^4 * b^(-2).
Combining the simplified numerical coefficients and variables, the expression becomes (9/4) * a^4 * b^(-2) = 9a^4/b^2. Therefore, the correct answer is none of the given options.

4. To simplify the expression 15x+3/27x-18 * 3x-2/5x+1, we can multiply the numerators together and the denominators together separately.
The numerator becomes (15x + 3) * (3x - 2) = 45x^2 + 9x - 30x - 6 = 45x^2 - 21x - 6.
The denominator becomes (27x - 18) * (5x + 1) = 135x^2 + 27x - 90x - 18 = 135x^2 - 63x - 18.
Dividing the numerator by the denominator gives (45x^2 - 21x - 6)/(135x^2 - 63x - 18).
Therefore, the correct answer is none of the given options.

5. The expression 5x/x+9 can be simplified by dividing both the numerator and denominator by x.
Dividing 5x by x gives us 5, and dividing x+9 by x gives us 1 + 9/x = 1 + 9x^(-1).
So, the simplified expression becomes 5/(1 + 9x^(-1)). None of the given options match this simplified expression.

I'll continue with the explanation of the remaining questions in the next message.