Can I have some algebra help?? I will give best answer today!?

Question

I need help with these questions below. I do not understand it well.

Evaluate each expression for the given values of the variables.

1. 4p – 3q + 8;

p = –6, q = –10

2. –3m2 – (m + n)2;

m = 2, n = –4

Simplify by combining like terms.

3. 7 – 4(x + y) + 2(x – 3y)

7 – 2x – 7y

7 – 2x – 10y

7 + 2x – 7y

7 + 2x – 10y

4. 3y2 + 8 – (2y2 + 12)

y2 – 4

y2 + 20

5y2 – 4

5y2 + 20

5. –12(x2 + y) + 3(y + x2)

9x2 + 9y

9x2 – 9y

–9x2 + 9y

–9x2 – 9y

Answer 1

1. 14

2.  -32

3. 7-2x-10y

4. y2-4

5. -9x2 - 9y

Answer 2

1) 4(-6)-3(-10)+8 = -24+30+8 = 14

2) -3(2)^2-(2-4)^2 = -12 - 4 = -16

3) 7-4x+4y + 2x - 6y = 7-2x-10y so the second answer

4) 3y^2 +8 -2Y^2 + 12 = Y^2+20 so the second answer

5) -12x^2 -12Y +3Y +3x^2 = 9x^2 -9Y so the second answer

Answer 3

For the first two, just plug in the values of the variables into the expression and simplify:

4p - 3q + 8 where p = -6 and q = -10

4(-6) - 3(-10) + 8

-24 + 30 + 8

14

-3m² - (m + n)² where m = 2 and n = -4

-3(2)² - (2 + (-4))²

-3(4) - (-2)²

-12 - 4

-16

For the others, just expand the multiuplication through the parenthesis as needed and then combine the like terms:

7 - 4(x + y) + 2(x - 3y)

7 - 4x - 4y + 2x - 6y

7 - 2x - 10y

I'll save the rest for you to solve.

Answer 4

1.  4p-3q+8=4(-6)+3(-10)+8=-46

2.   -3m^2-(m+n)^2=-3(2)-(2-(-4))^2=-42

3.answer:   7-2x-10y

4.answer:     y^2-4

5. answer:   -9x^2-9y

Answer 5

4(-6)-3(-10)+8

-24 + 30 +8

14

-3(2²) - ( 2 -4 )²

-3 ( 4) - ( -2 )²

-12 - 4

-16

3)  7 - 4x - 4y +2x - 6y

    7 - 2x - 10y

4)  3y² + 8 - ( 2y² + 12)

    3y² +8 - 2y² -12

     y² - 4

5)  -12 ( x² + y ) +  3 ( y + x² )

     -12x² - 12y + 3y + 3x²

     -9x² - 9y