please help. i am getting ready for school in fall?

Question

1. a+b/2 = a+4/a - solve each equation

2.4/3n + 2/n+1 + 2/ n squared + n . reduce to lowest terms

3.use product and quotient rule to simplify --square root of 27/16

Answer 1

1. a+b/2 = a+4/a - solve each equation

There's only one equation.
a + b/2 = a + 4/a (subtract a from each side)
b/2 = 4/a
ab = 8 or a = 8/b or b = 8/a
(all three mean the same thing)

2.4/3n + 2/n+1 + 2/ n squared + n . reduce to lowest terms

Is this what you mean?
4/3n + 2/(n+1) + 2/(n^2+n)
multiply each term by 3n(n+1)
(4(n+1) + 2*3n + 2*3) / 3n(n+1) =
(10n + 10) / 3n(n+1) =
10/3n

3.use product and quotient rule to simplify --square root of 27/16

sqrt(27/16) = sqrt(27)/sqrt(16) = (3sqrt3)/4