1. the expression 11x2 - 12x - 10 has terms and a constant of

12, 11

3, -10

3, 10

11, 12

2. combine like terms in the following expression: 7x + 3x + 2y - y.

10x2 + y2

10x + 3y

10x + y

10x - y

3. use the distributive property to write the expression 1/2 (4x-6y) without parentheses.

2x + 3y

2x – 3y

2x – 6y

4x – 6y

If p(x) is the total value of the production when there are x workers in a plant, then the average productivity of the workforce at the plant is a(x) = p(x) x . (a) find a'(x). a'(x) = xp'(x) − p(x) x a'(x) = xp'(x) − p(x) x2 a'(x) = p'(x) − p(x) x a'(x) = xp'(x) − p'(x) x2 a'(x) = p'(x) − xp(x) x2 why does the company want to hire more workers if a'(x) > 0? a'(x) > 0 ⇒ a(x) is ; that is, the average productivity as the size of the workforce increases. (b) if p'(x) is greater than the average productivity, which of the following must be true? p'(x) − xp(x) > 0 p'(x) − xp(x) < 0 xp'(x) − p'(x) > 0 xp'(x) − p(x) < 0 xp'(x) − p(x) > 0