1. Mid-Term Review 1) What is the Law of Sines formula? 2) What is the Law of Cosines formula? 3) Find x. 4 8 x 62°

2. 4) What is the inverse of f(x) = 6x – 7?

3. 5) An arithmetic sequence has a 3 = -6 and a 11 = 50. Find a 1. 6) Write recursive and explicit formulas for the sequence in #7. 7) Rewrite the equation in vertex form: y = 2x 2 – 8x + 7. What is the vertex?

4. 8)If sin θ = and sec θ < 0, what is cot θ? 9)What is the formula for projectile motion? 10) A projectile is shot straight up from a height of 48 ft with an initial velocity of 32 feet per second. a) What is the rocket’s maximum height? b) When will the rocket hit the ground?

5. 11) Let f(x) = x 2 and g(x) = a) Find f(g(x)) and give its domain. b) Find g(f(x)) and give its domain. c) Find g(g(x)) and give its domain. 12) Give the domain and range of in interval notation.

6. 13) Factor: a)6x 2 – 7x + 3 b)125x 3 – 8y 3 c)81x 4 y 6 – 9z 10 14)Solve for x using the quadratic formula (Oh, no! What is that again?) 2x 2 + 7x = 6 15)Simplify