Question

1). -16÷-4

2). Simplify 4(x+6)+2(x+3)
3). 5x^3y+4x^2y^2+x-17 find the degree
4). (X+7)(x+1)
5). 4c-11=10c-5

Answer 1

1. -16/-4 = 4

2. for this we have to distribute throughout the parenthesis. This means that the 4 is multiplied by both the x and the 6. and the same for the 2 being multiplied by both the x and the 3. This will simplify to

`4x+24+2x+6`

Now we have to combine like terms. This gives us the answer

`6x+30`

3. The degree is the largest exponent in the equation so in the equation

`5x^3y +3x^2y^2+x-17` The largest exponent is 3, so that would be the degree

4. For this one we must distribute the x to both the x and 1. Then we must do the same with the 7. Lastly, we must combine like terms.

Lets begin with the x,

`x(x+1) =x^2+x`

and now 7

`7(x+1)=7x+7`

Now we have to combine like terms

`x^2+x+7x+7 = x^2+8x+7`

So the answer is
`x^2+8x+7`

5. For this one we must solve for c. In order to do this, we must combine like terms and then isolate c.

`4c-11=10c-5`

First, we must subtract 4c from each side as well and add 5 to each side. This will leave us with
`-6=6c`

Now we can divide each side by 6, so that c will be alone. And we will be left with
`c=-1` as our answer