Assignment:
Q1. Reduce if possible: (p^2 + 5p + 6)/(p^2 + 2p - 3)
Q2. Multiply: (x^2 - 3x + 2)/(x^2 - 4x + 4) times (x^2 + x - 6)/(x^2 - 1)
Q3. For what values of p is #1 undefined?
Q4. For what values of x is #2 undefined?
Q5. Find the LCD of the following: 1/(x + 2) and 1/(x^2 + 2x).
Q6. Find the LCD of the following: 1/(x^2 + x - 2) and 1/(x^2 - 3x + 2).
Q7. Add: 1/x + 1/x^2 + 1/x^3.
Q8. Do the math: 1/(a^5 * b) - 5/(ab^3)
Q9. Solve for x: 1/x + 1/(x-3) = (x-2)/(x-3)
Q10. Solve for t : (t+4)/2 = (t+4)/t
Q11. If Joe can paint the fence in 4.2 hrs and Bob can do it in 5.6 hrs, how long would it take if they work together?
Q12. A pool has a pipe that can fill it in 3.2 hrs, a smaller one that can do it in 6.5 hrs and a little bitty one that takes 10.2 hrs. How long will it take to fill the pool if all three work together?
Q13. You have 22 gals of 55% solution. How much pure solution do you need to add to get some 80% solution?
Q14. You want to end up with 12 gals of 30% solution. How much 20% solution and how much 70% solution should you mix to get the 12 gals of 30%?
Q15. You have 100 gals of Ooh-La-La pink paint that is 20% red and 80% white. You want some Cutie-Pie pink paint that is 25% red/75% white. How much Sissy pink (which is 40% red/60% white) should you mix with the Ooh-La-La to get the Cutie-Pie? (round to nearest hundredth).
Provide complete and step by step solution for the question and show calculations and use formulas.