Evaluating Algebraic Expressions

Evaluating Algebraic Expressions

Carefully evaluate each algebraic expression for the given values of the variables. Show all your work for full credit.

1. Evaluate the expression $P(x) = 3x^4 - 2x^3 + 5x - 7$ when $x = -2$.

2. If $a=3$ and $b=-1$, the value of the expression $\frac{a^2 - 2ab + b^2}{a+b}$ is  .

3. Given $f(x) = \sqrt{x^2 + 5x + 4}$, what is $f(0)$?

4. If $x = -1$, the expression $2^{3x+1}$ evaluates to $1/4$.

5. Evaluate $\sin(\frac{\pi}{2}) + \cos(\pi) - \tan(0)$.